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x vU@A-7~m;@ 5grd:@$ϔQHfD,p& F10X (ޖ2JeyR2JқITK$) {%M7P2.]K,3o7p0l$Ɯ +X  5e-nȈVd3)CSxPHآO圪)ijiu@/ed	I`;SRvڡ3ov2LۼWKrsQޔ֛f4D  @uқ0 )*$?b%%%hHp 5cH͋`Vd3)CSxPHآO圪)ijiu@/ed	I`;SRvڡ3ov2LۼWKrsQޔ֛f4D  @uқ0 )*$?b%%%hHp 5dnv*L6]67[rjY2 P̥KOe`b)B"{b^Y>[rDFX	 4u X%%NmIj;f4N}3n^ K"-ڏIFG7zSZmӵd@ RJl@ L4( "ߛ<Rx;mrfJ!  5fr	p[ 62ML;SV t Bwmt;*PAT^& }"*'(g*JZDeGZmP@Y%RXԝyLiݣL$6@b-.ܜdsw9uٍ;Q &D +*t4+@
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Rҥ*$*LCe^OlBp	`Z-Mc9f%b	45& S63ifɋ;X|K3r<ܼm>:1Қl=@)xyDtv2@)Nke6a	] WUX֘#mq9dF\e&CFZڹ@XQ6GGI7͎ 5djW 7,ܰ=CmHta.Mxc6Le&3! J<oYslc-<*KH5(͸;nXhׂx|u-='\޹5׎l0PØ|o  5e^.7.;hTDX	DWj^ KeSj#㨕bMԣ[6!m `37 m2-p@3 &! J< 5cH͋`TDX	DWj^ KeSj#㨕bMԣ[6!m `37 m2-p@3 &! J< 5drvL6]67Q[rjQbp%}^oMx, MS
TyGں7R)l؅E^\ϼ /Ӏ/D]ȶ5 "$C$ ,pNZ\+  5f(fYX3[,@8y7̼ 
ʦ)FKQ*<#]GlB@	/.gn .d[f	g! M8'IU-.B y5c:-nȈV/oo*ئ彻@ 5a~H͋`V/oo*ئ彻@ 5b^v*L6]67[rjXOb- 5bY(fX3[,@^T'M{v5gvN\  ?]%Mv(4X S/7, نƼٝ@תf׌3כ0Tf NLA6msk4L Xc1Y  5fr	p [۸52ML@L;SVx@ 	B7m9t[۲1Cx (%*%JPAV8TmnP{eYf\ 0
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[ 5cH͋PT? 3Zd2nlř NgMz5چ`t&Eb "ddN2H.& w ^ [
[ 5drv*L6]67[rjP{ Xg1i`fLL;6mנfSj3fT  g;f  D}zl)n@5fr	p[ 62ML;SV t Bwmtņs!L [1fhiހMze60*!ɑqX&n EH `~plR	@.g  5f(fYX3[,@ f,3d0ً3@&& ΛO6k3)PL3p*D  3˅d3b] M"ws>p N   5e2Y&fKó3Ͳϱ4
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ulpZWe[Qٖxw '6x~p|M 'B VA4st! 6 L( L ss8p N 3c\ K8  5jn DLK'TL&-0C eIAu)͊YL5_4a-380H ]ϻ 0 V^;zy1HȠ:ed(+,+eck	v `3	Ҁ&@ .˘,v`	<ٴ/Zؼ	4V2س WS6O@ 5gBfܫ `[ -fwhRdO P48'f pk=iq|JrFȴ>+
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<ٚ^fآ 5i2yalr[ݚn+W2g٩A*ଟL-{͊K>ӕP 5dBv3oǣ6(7.NUARܓ6Z8,v/ǮoUoR 5fZe7]}3mFؚi\C9 =V[Sl!992ahe!|w.Oorn?I$#5bv*L6]67[rj5`0NXSD #y	9e)r\ &d $S cb 5h.6":H 5@@ ٸ 5bvZv'kf ┭5G$漼W 5b~f CZEu#zLtGfcaeH 5)V`?uW^77@ڔvf6vT5cf ┭5G$漼Webf=ӱA[0l-٬9%/5_E 5cv6T CReu#zLtGf`0S+UemJ;3*@ 5I?՘z]J)תm2
 RL =.rF6F[Rʐ 5cf[Nʆߕ/lSr-͆ 5e";*~q7\Sn&6Wroaݢl-n 5A3ĶKm	ZJT@4[ieX	f n[vK 5hvY&vfK{5ͱ55
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~|:`AIBG@B@, "H@p 5Dބq[oGw{	[P 5E{%L87б 5hZfβ [2"jx]H|w֘U@c40	@sY < Q%k=׺u6/^:?]AfPa t ob 5i>7bf5!p\yu[RNV V
yR_5a)@  ! " # $ % & ' ( ) * + , - . / 0 1 2 3 4 5 6 7 8 9 : ; < = > ? @ A B C D E F G H I J K L M N O P Q R S T U V W X Y Z [ \ ] ^ _ ` a b c d e f g h i j k l m n o p q r s t u v w x y z { | } ~                                                                                                       RS`ax}~          ! " & 0 9 :  "! x l:: UUVU::::::::::VVV:r :Urr:U:: ::::    U::::U :    V
VV      U::::
:U{:VU62UUUN&UUv:VVVr Vr:::::: :::::::::::2r:::: :   r :UU:    UUU::g  UU:  XX  X/'XE\X%AS5 X<j\X,R\X-X>&\l X>&\l X -t_'X9C IUHPBY Iu  X #\X+A4Xp/Ԁ  X@  X+AtXA  X+B4X'AtX1At  X*AX+AX]w  XUWHX8CǀX9C X8CǀX-@\  X8}tXl _U  XKN  X3Wt\XOU  XQN  XTHt  X7[\XRR4  X`4  X64XKU4  XKB  XLa  XNR  X2]XXOO  X,^XXQZ  X.N\XK  XQR4XTt  Xwt  XT  XTt  XK  XF!f X #\XTf X8_S_H,f X-4~ՀX%Aׄ XCB X(> X#> X&A X
(\  X!>l XD>  XDԌ  _l XD?  XB  XDbw  XD>w  X"B XDB7f X$>f XC,w  X ;7 X"XB> X>  X[  X?7  X>l X=W  X'\l X^\l X'4\l X,Eyu XP   XP   XP   XP   XP   XP    Xte X6@fXC\ X%B6ŀ_F  X^\l X)At\l X&~X^\X,_EPBX9C PBY X^\_HxX@*_ X'Avh  X(kI X(tkMXo%~ՀXP?f XETf Pa̖XPl~X6kI X+_G PX6h\X6h\Xh\XOEk_U  _U  _U  _U  _U@  _U  Xy  X3Wt\iXQN  XQN  XQN  XQN@  X  XG  _%  X#r@  _U  XNR  X2]X2]X2]X2]X2]@XQ@ X*^  XQR1XQR1XQR1XQR2@XTq  XOO  XMJT\X%A| X%A| X%A| X%AԬ X%A| X%A( X"l X(>dX&A| X&A| X&A| X&A| X|  X_"|  _&|  X#|  X%B4XD>t  X"B| X"B| X"B| X"B X"B| X'Aw7XAFW4 XB>| XB>| XB>| XB>| X>|l XDB4f X>|l XA|\X)t7 X.NѴX ;4| XTr@  XK  X=T|  XCXl X)4~ՀX*Tπ_GO`  iX@4_X6s H?D X*%_X$$s PH@X%AVX%B4VPnCxXxq>h  X}\P\BP\_ET\Xqo]x   A   T   Y 1 1 A   A T A V A W A Y A v A w A y A  F , F . F A G , G . L   L T L V L W L Y L y L  P   P , |P . |P A R T R V R W R Y S p S t T   T , T - T . T : T ; T A T O T a T c T e T i T o T r T s T u T w T y V , V - V . V : V ; V A V a V e V i V o V r V u V y W , W - W . W : W ; W A W a W e W i   W o W r W u W y Y   Y , |Y - Y . |Y : Y ; Y A Y a Y e Y i Y o Y p Y q Y u Y v d p d t f f f p f t f   p a p f p s r , r . r  & t a t d t f t s v , v . w , w . y , y .       s   g   hE$  	   "hzo,d 8,d 8o 88oodo,oo 88oo, 8oodo,oooo 8  !od 88oo 8`C,oCd 8\o8,ooo, 8f{8Co8ood 8  q8o 8dooooC8 88oo 88oodo,oo 8o8 8 8  P ooooC 8,o 88oo 8Ho,,d 8Zo8ooo8,dd 8  /Xooddoo8  !R8ooo,,U8 8,8 8,,, 8oo 8odoo 8,8o 8oo 8   ,o8oCod8,do 8o,8ooooCo 8oC 8d,ooo 8  "oCo-od8o88 -Bz 8,oCoo 8ddCooo 8oo,8oC 8  od 8o,do 8oo 8do,5oo,o 8,o 8doo 8  i	dodod8   fB    hԬp  
 jHc")8ކdE7 v''	IǢp         UC(  U;nlnI6f 	       ՚BO9@      &  	@ p4loadBar      	 e0  %,j+d 	   
   	  @      & 
 \HloadBarHousing $    `
 	  \*8j':`   b!@ @ @ 
   loading @      ?    loadAmount  loaded getBytesLoaded Math round total getBytesTotal percent bytesLoadedOutput bytesTotalOutput percentOutput % loadBar _width _x 	     "<    "  I   	            =         R         =         R   d        R 	 
  G       d   O 	    N    O   @ @ @ @ @ ?  %5 thisMarker marker_ _root numberLine_01 marker duplicateMovieClip _x markerNumber numberLine_02 _alpha runningTotal redBead_ redBeads redBead greenBead_ greenBeads greenBead redBeadsNumber greenBeadsNumber swapDepths sumPart_1 sumPart_2 sumPart_3 thisStep control_mc gotoAndStop controlButton hideMarkers hops oneHop removeMovieClip _y hideRedBeads swapTheseDepths doTheSum firstNumber secondNumber n Math round hopsArray isThereATen createEmptyMovieClip lineStyle moveTo curveTo hideGreenBeads resetBeads sumFrame theSum lastFrame Array startFlag  makeNumberLine              g l    G     N N R  N  GN	     O  N  GN  O    G     N N R  N  GN	     O  N  GN  O  	         gL        g J   N  GN 	        O  N  GN 	        O   P ~ hideMarkers               g n   N  GN 	        O  N  GN 	        O  
        O   P | makeBeadLines              g      G     N N R  N  GN	     O    G     N N R  N  GN	     O  N  GN 	        O  N  GN 	        O   P  swapTheseDepths   f   N  NH &              N R !              N R doTheSum      N  Ng Q    NO   NO   N  NO L    NO   NO   N  NO takeControl   -   N 
        N R hideRedBeads   U            g 4   N  GN 	        O   P  hideGreenBeads   U            g 4   N  GN 	        O   P  clearUp              O        N R  N 	        O  N 	        O          R          O          N R  N    O showRedBeads               R         Ng 0   N  GN 	d   O   P   N    O          !R          "R isThereATen      N  NH #  # N $ N   $ N # N %# % $H   % 
    % 
       & 'RI =    N    GO  (N  N %O %%P k drawHop              )R        *R  N   d           +=    N    	  ;@    G    ,=    N    	  ;@    G     N  NG    	  ;@    G    -= showGreenBeads              .R         Ng 0   N  GN 	d   O   P   N    O          !R          "R resetBeads   p           .R          R           R  N    O  N    O resetAll   <         /=                    	        O  	        O     O    O                            0                                    R 1 	        O        R                 R 2
   <         <         <         <         <         < 0        <         <         < (        3@< 4        <         <   
   beginMovie @ @ @ @ @ @ @ @ @ @ ?[  V startFlag makeNumberLine makeBeadLines resetButton_mc onRelease _root resetAll onRollOver helpText resetHelp onRollOut defaultHelpText infoButton_mc helpPanel_mc _alpha infoHelpText quitButton_mc fscommand quit quitHelpText swapControls_mc this _x _rotation redBeadsControl_mc greenBeadsControl_mc controlButton showAnswer swapControlsHelp   	         I +          =         =                      RO          	NOO  
        NOO      \   N N	         I    N d   O    N         OO          NOO  
        NOO        O          NOO  
        NOO        N    I      O     O  N    O  N    O  N 6   O  N X   O  N z   O  N    O  N    O       O          O  N   O  N   O  N   O  N   O  N   O  N   O  N   OO          NOO  
        NOO ?=  5$ _root defaultHelpText Move the mouse pointer over items on this screen to find out more about their use. helpText infoHelpText Click on the information button to come back to the help page. Click again to leave the help page.Move the mouse pointer over items on this screen to find out more about their use. goBackHelpText Click here to leave the Help Page quitHelpText Click here to close the program. resetHelp Click here to restart the program. swapControlsHelp Click here to move the menu to the other side of the screen. moregreenHelp Click here to increase the number of white counters by 1. [maximum is 30] lessgreenHelp Click here to decrease the number of white counters by 1. moreredHelp Click here to increase the number of yellow counters by 1. [maximum is 30] lessredHelp Click here to decrease the number of yellow counters by 1. nextStepHelp Click here to play the next part of the animation. showAnswerHelp Click here to hide or show the calculations. nextAnswerHelp Click here to show different versions of the calculation. showredBeadsHelp Click here to show this number of yellow counters. showgreenBeadsHelp Click here to show this number of white counters. slideredBeadsHelp Click and hold to slide the yellow counters up and down. slidegreenBeadsHelp Click and hold to slide the white counters up and down.    O     NO   O   O   	O   
O   O   O   O   O   O   O   O   O   O   O    !O   "#O     L}   %*dtp9QG tk	ـ'QfGc    f 5/pD1@  %*dtp9QG tk	ـ'QfGc      XC   	   .Xk0              @/@    FSCommand:quit   ;    _root helpText quitHelpText      NO    !  _root helpText defaultHelpText      NO    6  x@ Rg quitButton_mc Z    L}    f 5/pD1@  %*dtp<U7,؇:di'f Ff0d` q     5e(FLQVM d? RR0i%=s@&r3+ XZTNk)pKY5g pIp"Y-pG`MU򲒧L" 8     Monotype Corsivai     XLX     } &            z@6
/`     '     6   infoButton_mc p    L}    f 5/pD1@  %*dtp<U7,؇:di'f Ff0dg   % ]K
y 	        @      6    swapControls_mc  !    NqH   f 5 >.  _    DC  f
LVq. _e{:֏GrHe+IYuD.]JƠSs:-U                 X    _root redBeadsNumber    N    H       N    GO :    _root helpText moreRedHelp      NO    !  _root helpText defaultHelpText      NO                 \    _root redBeadsNumber    N	         g       N    O :    _root helpText lessRedHelp      NO    !  _root helpText defaultHelpText      NO      LAx    f / 8      
     ,            _root   showRedBeads R ?  "  _root helpText showRedBeadsHelp      NO    !  _root helpText defaultHelpText      NO 	3    W{p1 @         _root.redBeadsNumber 00 	>        N      
          G@   $   6   @ Bq redBeadsControl_mc                 Z    _root greenBeadsNumber    N    H       N    GO <    _root helpText moreGreenHelp      NO    !  _root helpText defaultHelpText      NO                 ^    _root greenBeadsNumber    N	         g       N    O <    _root helpText lessGreenHelp      NO    !  _root helpText defaultHelpText      NO      
     .            _root   showgreenBeads R A  $  _root helpText showGreenBeadsHelp      NO    !  _root helpText defaultHelpText      NO 	5     W{p1 @        _root.greenBeadsNumber 00 	>   !     N      
           G@   !   6 ! ` greenBeadsControl_mc    " XnA  	  FhH   #      "  =     sumFrame _root theSum _alpha        N N 
   H    N d   O    N         O =     _root helpText showAnswerHelp      NO    !  _root helpText defaultHelpText      NO /  $               $  _root sumFrame theSum gotoAndStop      N    GO   N    I        O   N      N R =     _root helpText nextAnswerHelp      NO    !  _root helpText defaultHelpText      NO 3  %               $  _root sumFrame theSum gotoAndStop      N    O   N	         I        O   N      N R =     _root helpText nextAnswerHelp      NO    !  _root helpText defaultHelpText      NO 	P   &  ?     sumFrame           #   $      	 %   @ 8  @      6) & C< showAnswer p   ' L}    f 5/p@  % iiQT,HȳpfF vk   %( _|oba@y   ( L}    f 5/pD1@  %*dtp<U7,؇:djp|W@ RgMGc    5( _yoC70 K  )   '   (      =  _root redBeadsNumber greenBeadsNumber thisStep takeControl    N	         gL     N	         g 9      N    GO           R 	  ;    _root helpText nextStepHelp      NO    !  _root helpText defaultHelpText      NO     * NsG ( %נ(ćz 	F   + 
 ?     )  @ @ @ @ @ @ @ @ @  ?        *  @      63 + C controlButton $   , X'CR      yVJ@ 	    -      ,  z@6	d @      68 -   resetButton_mc  :   . MA`P     d PB/Dkt@o/јE  	   /   .  @    ;   0 M]WVU   %QPB/Dkt@o/јEd  	!   1     & /  body  0  @    !   2 M#     5Cf#q    3  
 2    2  (          h              this '   ( @  #  _root helpText slideRedBeadsHelp      NO    !  _root helpText defaultHelpText      NO     4 UIo0   U'٘nlnI 	8   5     & 1  @    redBead  3   4  @      6= 5 @   redBeads  ;   6 M]WVU      %QPB/Dkt@o/јEd  	,   7     . /      ? body  6  @      8  
 2    2  (          h              this '   ( B  %  _root helpText slideGreenBeadsHelp      NO    !  _root helpText defaultHelpText      NO 	:   9        & 7  @    greenBead  8 ( @      6E 9   greenBeads 	/   : aЍ1 0        _root.sumPart_1 00 	/   ; a=Ѝ1 0        _root.sumPart_2 00 	/   < a=Ѝ1 0        _root.sumPart_3 00    = Y}t 	  0    > aHN 
  0 	/   ? a=Ѝ1 0        _root.sumPart_1 00 	/   @ a=Ѝ1 0        _root.sumPart_2 00 	/   A a=Ѝ1 0        _root.sumPart_3 00    B aέN@ 	  0 	/   C a=Ѝ1 0        _root.sumPart_1 00 	/   D a=Ѝ1 0        _root.sumPart_2 00 	/   E a=Ѝ1 0        _root.sumPart_3 00    F bN` 
  0 	/   G a=Ѝ1 0        _root.sumPart_1 00 	/   H a=Ѝ1 0        _root.sumPart_2 00 	/   I a=Ѝ1 0        _root.sumPart_3 00 	(  J  ?     : 3= ; ~s < 3 = t2 > `@    ?     ? G=  @ 4(  A ~4   > ` B r@    ?     C t   D G}  E ~4   F J@    ?     G t   H ~48  I G}  J@      >L J i @   theSum     K d_   #      L GU0  $"v^ 	*   M W{	P!        ( markerNumber 0 	    N   L   M   @6	@   	%   O   K     & N  marker @   %   >R O   ?" i @   numberLine_01 %   >U O   ?\i @   numberLine_02 [  P hDCր 	   %hzo,d 8,d 8o 88oodo,oo 88oo, 8oodo,oooo 8od 8  !8oo 8`C,oCd 8\o8,ooo, 8f{8Co8ood 88o 8  q'dooooC8 88oo 88oodo,oo 8o8 8 8ooooC 8,o 88oo 8  PHo,,d 8Zo8ooo8,dd 8Xooddoo8  !R8ooo,,U8 8,8 8,,, 8oo 8odoo 8,8o 8oo 8   ,o8oCod8,do 8o,8ooooCo 8oC 8d,ooo 8  &oCo-od8o88 -Bz 8,oCoo 8ddCooo 8oo,8oC 8od 8  o,do 8oo 8do,5oo,o 8,o 8doo 8dodod8 	,   Q oym1           _root.helpText 	)   R   P R  @ Q @      >X R h i @   helpPanel_mc 	  S M ?    @ @ @ @ @ @ @ @ @ ?A     _root 
  redBeads N  _y N    H   
      @ @ ?H     _root redBeads _y    N   N N    GO 	  @ @ @ ?<           _root   controlButton N  gotoAndStop R @ @ @ @ @ ?J     _root   numberLine_01 N  _alpha N d   H         @ @ ?   4  _root numberLine_01 _alpha marker_ redBeadsNumber    N   N N    GO   N   NGN   N   NGN N    GO   @ @ @ ?<           _root   controlButton N  gotoAndStop R @ @ @ @ @ ?J     _root   numberLine_02 N  _alpha N d   H       "  @ @ ?   6  _root numberLine_02 _alpha marker_ greenBeadsNumber    N   N N    GO   N   NGN   N   NGN N    GO   @ @ @ ?<           _root   controlButton N  gotoAndStop R @ @ @ @ @ ?F     _root   numberLine_01 N  _y N   H   (    ,  @ @ ?M     _root numberLine_01 _y    N   N N    GO '  @ @ @ ?<           _root   controlButton N  gotoAndStop R @ @ @ @ @ ?b   *  _root drawHop controlButton gotoAndStop            R         N R @ @ @ @ @ @ @ @ @ @ @ @ @ @ @ @ @ @ @ @ @ @ @ @ @ @ @ ?w   4  _root numberLine_01 _alpha marker_ redBeadsNumber    N d   O   N   NGN d   O @      6\ S p control_mc @   
