,E,ZEE,,COUNT ,ABACUS^T
         ,,9/RUC;N ,,BOOKLET
      ,CATALOG ,NO4 #A-JCAHE-JJ

           ,K>5 ,J4 ,POPPE
          ,TACTILE ,GRAPHICS
            ,PROJECT ,L1D]

           ,COPY"R ^C #BJAC

        ,AM]ICAN ,PR9T+ ,H\SE
             =! ,BL1 ,9C4
        #AHCI ,FRANK=T ,AV5UE
          ,P4,O4 ,BOX #FJHE
     ,L\ISVILLE1 ,,KY #DJBJF-JJHE
         ,PH"O3 #EJB-HIE-BDJE
      ,TOLL ,FREE3 #HJJ-BBC-AHCI
         ,FAX3 #EJB-HII-BBHD
      ,WEB SITE3 _+WWW.APH.ORG_:


            ,9 #A ,VOLUME
      ,BRL PAGES P#A-P#D & #A-CH
          ,PR9T PAGES ;I-;VI
              & #A-A#CC            P#A
      ,,SPECIAL ,,SYMBOLS ,,US$
           ,,9 ,,? ,,VOLUME

    ,-PUT] ,BRL ,CODE
_+ 2G9 ,-PUT] ,BRL ,CODE
_: 5D ,-PUT] ,BRL ,CODE
. (46) P]IOD
[ LEFT BRACKET
] "R BRACKET

    ,O!R ,SYMBOLS
^T TRADEM>K
^C COPY"R
_/ SLA%
,' (6, 3) TRANSCRIB]'S NOTE SYMBOL
,' (6, 3) T]M9,N SYMBOL
^R REGI/]$ TRADEM>K








        ,,TRANSCRIB]'S ,,NOTES

  ,? BOOKLET HAS BE5 TRANSCRIB$ AC 6!
RULES ( ..,! ,NEME? ,BRL ,CODE =
,MA!MATICS & ,SCI;E .,NOT,N1 #1972
,REVI.N1 #2007-2011 ,UPDATES4
  

















                                   P#C
          ,,TA# ,,( ,,3T5TS

                                 ,PAGE
,,PROJECT ,,/AFF """""""""""""""" ;III
,,AC"KL$GE;TS """"""""""""""""""""" ;V
,,OV]VIEW """"""""""""""""""""""""" #1

,E,ZEE,,COUNT ,,ABACUS
    ,,ACTIVITIES
  ,,C.T+ """""""""""""""""""""""""" #3
  ,,A4I;N """"""""""""""""""""""""" #7
  ,,NUMB] ,,-B9,NS """""""""""""""" #9
  ,,SUBTRAC;N """""""""""""""""""" #11
  ,,MULTIPLIC,N """""""""""""""""" #15
  ,,DIVI.N """"""""""""""""""""""" #17
  ,,FRAC;NS """""""""""""""""""""" #19
  ,,PATT]NS """""""""""""""""""""" #21
  ,,GRAPHS """"""""""""""""""""""" #23
  ,,PLACE ,,VALUE """""""""""""""" #25
  ,,GAMES """""""""""""""""""""""" #29
  ,,EXTRAS """"""""""""""""""""""" #31

,,RES\RCES """"""""""""""""""""""" #33


            ,E,ZEE,,COUNT      ;I-;III
              ,ABACUS^T
         ,,9/RUC;N ,,BOOKLET
      ,CATALOG ,NO4 #1-03185-00

           ,,PROJECT ,,/AFF

,PROJECT ,LEADER_/,AUTHOR
  ,K>5 ,J4 ,POPPE
,MAT]IALS ,DE"P;T ,MANAG]
  ,MU/APHA ,DE2ABI
,RESE>* ,ASSI/ANT
  ,ANN ,TRAVIS
,MANUFACTUR+ ,SPECIALI/
  ,BRYAN ,ROG]S
,9/RUC;N ,BOOK ,LAYOUT_/,ILLUSTRATION
  ,AN?ONY ,SL[9SKI

  ,! ORIG9AL .,E,ZEE,,COUNT^T 0
DEVELOP$ 0,ZE5AT ,2GAM ,B9TI ,KHADIM
,HUSSAIN_/,ZEENAT ,H4 ,DURRANI &
MANUFACTUR$ 9 ,MALAYSIA4 ,! ,,APH V].N
(! .,E,ZEE,,COUNT .,ABACUS IS SPECI,Y
DESIGN$ ) TWO-TEXTUR$ B1DS (SMOO?
V]SUS ROUGH_/WAVY) &A L>G] FRAME    #A
6A3OMMODATE ! LE>N+ NE$S (       A;III
/UD5TS ) VISUAL IMPAIR;TS & BL;S4























            ,,AC"KL$GE;TS       ;IV-;V

  ,! ,AM]ICAN ,PR9T+ ,H\SE =! ,BL
(,,APH) WD L 6?ANK ! FOLL[+ T1*]S =
FIELD TE/+ ! PROTOTYPE (!
.,E,ZEE,,COUNT .,ABACUS4 ,_! FE$BACK
GUID$ & 9FLU;ED ! F9AL PRODUCT DESIGN4

.,ANITA .,BAJ5IO1 ,T1*] (! ,VISU,Y
  ,IMPAIR$1 ,KANSAS
.,PATRICIA .,BR[N1 ,T1*] (! ,VISU,Y
  ,IMPAIR$1 ,VIRG9IA
.,C9DY .,GOVE1 ,VISION_/,ORIENTATION &
  ,MOBIL;Y ,SPECIALI/1 ,MISS\RI
.,CRI/9A .,DI .,LULLO1 ,T1*] (!
  ,VISU,Y ,IMPAIR$1 ,OHIO
.,KATE .,DILWOR?1 ,T1*] (! ,VISU,Y
  ,IMPAIRED_/,ORIENTATION & ,MOBIL;Y
  ,9/RUCTOR1 ,OREGON
.,DEBRA .,DUBY1 ,T1*] (! ,VISU,Y
  ,IMPAIR$1 ,>IZONA
.,C>LA .,H>RISON1 ,PROCESS
  ,COORD9ATOR1 ,MISS\RI
.,BRITTANY .,KORES*1 ,T1*] (! ,VISU,Y
  ,IMPAIR$1 ,ILL9OIS                #C
.,ELIZABE? .,LAWLOR1 ,T1*] (!      A;V
  ,VISU,Y ,IMPAIR$1 ,KANSAS
-----------------------------------;VI
.,L9DA .,LEO1 ,T1*] (! ,VISU,Y
  ,IMPAIR$1 ,MA9E
.,JULIE .,MC,5D]F]1 ,T1*] (! ,VISU,Y
  ,IMPAIR$1 ,WA%+TON
.,]9 .,MEY]1 ,T1*] (! ,VISU,Y
  ,IMPAIRED_/,ORIENTATION & ,MOBIL;Y
  ,9/RUCTOR1 ,MISS\RI
.,ELIZABE? .,S*OM]US1 ,T1*] (! ,VISU,Y
  ,IMPAIR$1 ,NEBRASKA
.,L\ISE .,:ITWOR?1 ,4TRICT ,T1*] (!
  ,VISU,Y ,IMPAIR$1 ,MISS\RI
.,KA!R9E .,WILSON1 ,T1*] (! ,VISU,Y
  ,IMPAIR$1 ,TEXAS

  ,SPECIAL ?ANKS1 TOO1 6! .#63 /UD5TS
:O US$ ! .,E,ZEE,,COUNT .,ABACUS DUR+
FIELD TE/+4





              ,,OV]VIEW             #A

  ,! .,E,ZEE,,COUNT .,ABACUS PRES5TS A
#10@*10 MATRIX ( B1DS4 ,! B1DS C 2
FLIPP$ & 4T+UI%$ A"P 0COLOR (R$ V]SUS
YELL[) AND_/OR TEXTURE (WAVY_/ROUGH
V]SUS SMOO?) 0/UD5TS ) VISUAL
IMPAIR;TS & BL;S4 ,EA* R[ ( B1DS
SLIDES AL;G AN ELA/IC B& F LEFT 6"R
AG/ ! BLACK BACKGR.D (! FRAME4 ,!
REV]SE SIDE (! ABACUS HAS A :ITE1
DRY-ERASA# SURFACE4
      ,',ILLU/R,N %[S ALL (! B1DS SET
    AG/ ! LEFT SIDE (! ABACUS FRAME4
    ,EA* 3SECUTIVE R[ ( B1DS REPRES5TS
    AN 9CR1S+ VALUE 0FLIPP+ ! B1DS 6!
    YELL[ SMOO? SIDE4 ,! F/ R[ %[S "O
    YELL[ B1D1 ! SECOND R[ %[S TWO
    YELL[ B1DS1 ! ?IRD R[ %[S ?REE
    YELL[ B1DS1 & S ON1 UNTIL ALL T5
    B1DS 9 ! LA/ R[ >E FLIPP$ 6! YELL[
    SMOO? SIDE4,'
  ,? ,9/RUC;N ,BOOKLET PROVIDES
EXAMPLES ( H[ ! .,E,ZEE,,COUNT
.,ABACUS C 2 US$ 6FACILITATE A      #E
V>IETY ( 3CEPTS & ACTIVITIES       A#A
9CLUD+ ! FOLL[+3

,C.T+
,A4I;N
,NUMB] ,-B9,NS
,SUBTRAC;N
,MULTIPLIC,N
,DIVI.N
,FRAC;NS
,PATT]NS
,GRAPHS
,PLACE ,VALUE
,GAMES
------------------------------------#B
             ,GETT+ ,/>T$

  ,2F US+ ! .,E,ZEE,,COUNT .,ABACUS =
ANY (! ACTIVITIES HI<LI<T$ 9 ?
,9/RUC;N ,BOOKLET1 ALL[ ! /UD5T
6PRACTICE ! FOLL[+3

,FLIPP+ ! B1DS F "O SIDE 6! O!R
,RECOGNIZ+ & DESCRIB+ ! TEXTURE
  DI6];ES 2T ! B1DS
                                   A#B
,! R$ SIDE ( EA* B1D IS R\< & WAVY4
      ,',PHOTO %[S IMAGE (! R$
    WAVY_/ROUGH SIDE (! B1D4,'
,! YELL[ SIDE ( EA* B1D IS SMOO?4
      ,',PHOTO %[S IMAGE (! YELL[
    SMOO? SIDE (! B1D4,'

,SLID+ ! B1DS F ! LEFT SIDE (! FRAME
  6! "R SIDE (! FRAME4 ,:5 SLID+ !
  B1DS1 PRACTICE ABACUS T]M9OLOGY4 ,=
  EXAMPLE1 :5 ! B1DS >E MOV$ 6! "R
  SIDE (! FRAME !Y >E 8SET10 & :5 !
  B1DS >E MOV$ 6! LEFT SIDE (! FRAME
  !Y >E 8CLE>$40
,C.T+ ! NUMB] ( R[S & COLUMNS ( B1DS

  ,! .,E,ZEE,,COUNT .,ABACUS %D 2
PLAC$ ON A SECURE1 FLAT "W+ SURFACE
DUR+ USE4 ,IF NE$$1 PLACE A NON-SKID
PAD (E4G41 ,DYCEM^R %ELF-L9]) "UN1? !
ABACUS = A4$ /ABIL;Y4


                                    #G
                ,,C.T+              #C

  ,USE ! .,E,ZEE,,COUNT .,ABACUS 6P]=M
C.T+ TASKS4

    ,9ITIAL ,SETUP3
,SLIDE ALL (! B1DS 6! LEFT SIDE (!
  FRAME4
,FLIP ALL (! B1DS 6! R$ WAVY_/ROUGH
  SIDE4
,POSI;N ! .,E,ZEE,,COUNT .,ABACUS 9
  FRONT (! /UD5T S T ! B1DS >E MOV$ F
  LEFT 6"R ACR ! FRAME Z !Y >E C.T$4
,MOVE F ! TOP R[ 6! BOTTOM R[ Z ! B1DS
  >E C.T$4 ,! TOP R[ REPRES5TS NUMB]S
  #1-10, ! SECOND R[ #11-20, ! ?IRD R[
  #21-30, & S =?4
,C.T AL\D Z EA* B1D IS MOV$ 6! "R SIDE
  (! FRAME4

    ,EXAMPLE #1_3 ,C.T TO #6_4
  ,SLIDE #6 R$ WAVY_/ROUGH B1DS 6! "R
SIDE (! FRAME4 ,C.T AL\D Z EA* B1D IS
MOV$4
      ,',ILLU/R,N %[S SIX R$
    WAVY_/ROUGH B1DS MOV$ 6! "R    A#C
    SIDE (! ABACUS FRAME4,'
------------------------------------#D
    ,EXAMPLE #2_3 ,C.T TO #25_4
  ,/EP #1_3 ,SLIDE #10 B1DS 9 ! TOP R[
6! "R SIDE (! FRAME4
      ,',ILLU/R,N %[S T5 R$
    WAVY_/ROUGH B1DS 9 ! TOP R[ MOV$
    6! "R SIDE (! ABACUS FRAME4,'
  ,/EP #2_3 ,SLIDE #10 B1DS 9 ! SECOND
R[ 6! "R SIDE (! FRAME4
      ,',ILLU/R,N %[S T5 R$
    WAVY_/ROUGH B1DS 9 ! F/ & SECOND
    R[S MOV$ 6! "R SIDE (! ABACUS
    FRAME4,'
  ,/EP #3_3 ,SLIDE #5 B1DS 9 ! ?IRD R[
6! "R SIDE (! FRAME 6R1* A TOTAL (
.#25_4
      ,',ILLU/R,N %[S T5 R$
    WAVY_/ROUGH B1DS 9 ! F/ & SECOND
    R[S1 Z WELL Z FIVE B1DS 9 ! ?IRD
    R[1 MOV$ 6! "R SIDE (! ABACUS
    FRAME4,'

                                    #I
    ,EXAMPLE #3_3 ,C.T BY #3_'S_4   #E
  ,/EP #1_3 ,! 9/RUCTOR PRE-FLIPS A
DESIGNAT$ GR\P ( B1DS (I4E41 ?REE
B1DS) 6! OPPOSITE COLOR & TEXTURE
(YELLOW_/SMOOTH) AT ! 5D ( EA* R[4
      ,',ILLU/R,N %[S ?REE B1DS FLIPP$
    6! YELL[ SMOO? SIDE AT ! 5D ( EA*
    ABACUS R[4,'
  ,/EP #2_3 ,! /UD5T C.TS ! NUMB] (
FLIPP$ B1DS 9 ! F/ R[ & SLIDES ALL (
!M Z A GR\P 6! "R SIDE (! FRAME4 ,:5 !
B1DS R1* ! O!R SIDE1 ! /UD5T ANN\NCES1
8,?REE40
      ,',ILLU/R,N %[S ?REE YELL[ B1DS
    9 ! TOP R[ MOV$ 6! "R SIDE (!
    ABACUS FRAME4,'
  ,/EP #3_3 ,! /UD5T 3T9UES C.T+1 A4+
ONTO ! PREVI\S R[ (I4E41 #6, #9, #12,
ETC4) Z B1DS >E MOV$ Z A GR\P )9 EA*
R[ 6! "R SIDE (! FRAME4 ,:5 ! LA/ GR\P
( B1DS IS MOV$ 9 ! BOTTOM R[1 ! /UD5T
ANN\NCES 8#30_40
      ,',ILLU/R,N %[S EA* SET ( ?REE
    YELL[ SMOO? B1DS AT ! 5D ( EA* R[
    MOV$ 6! "R (! ABACUS FRAME4,'
               ,,A4I;N            #F-G

  ,USE ! .,E,ZEE,,COUNT .,ABACUS 6P]=M
A4I;N TASKS4

    ,9ITIAL ,SETUP3
,SLIDE ALL (! B1DS 6! LEFT SIDE (!
  FRAME4
,FLIP ALL (! B1DS 6! R$ WAVY_/ROUGH
  SIDE4
,POSI;N ! .,E,ZEE,,COUNT .,ABACUS 9
  FRONT (! /UD5T S T B1DS >E MOV$ F
  LEFT 6"R ACR ! FRAME4

    ,EXAMPLE #1_3 #4+2 .K =
  ,/EP #1_3 ,SLIDE #4 R$ WAVY_/ROUGH
B1DS 9 ! TOP R[ 6! "R SIDE (! FRAME4
      ,',ILLU/R,N %[S F\R R$
    WAVY_/ROUGH B1DS 9 ! TOP R[ MOV$
    6! "R SIDE (! ABACUS FRAME4,'
------------------------------------#H
  ,/EP #2_3 ,ADD #2 0SLID+ TWO R$
WAVY_/ROUGH B1DS 9 ! SAME R[ 6! "R
SIDE (! FRAME4
      ,',ILLU/R,N %[S SIX R$       #AA
    WAVY_/ROUGH B1DS 9 ! TOP R[    A#H
    MOV$ 6! "R SIDE (! ABACUS FRAME4,'
  ,/EP #3_3 ,C.T ALL (! B1DS MOV$ 6!
"R SIDE (! FRAME 6>RIVE AT ! ANSW]
.#6_4

    ,EXAMPLE #2_3 #20+11 .K =
  ,/EP #1_3 ,SLIDE #10 R$ WAVY_/ROUGH
B1DS 9 BO? ! F/ & SECOND R[S 6! "R
SIDE (! FRAME 6SET .#20_4
      ,',ILLU/R,N %[S T5 R$
    WAVY_/ROUGH B1DS 9 BO? ! F/ &
    SECOND R[S MOV$ 6! "R SIDE (!
    ABACUS FRAME4,'
  ,/EP #2_3 ,ADD #11 0SLID+ #10 R$
WAVY_/ROUGH B1DS 9 ! ?IRD R[ & #1 R$
WAVY_/ROUGH B1D 9 ! F\R? R[ 6! "R SIDE
(! FRAME4
      ,',ILLU/R,N %[S T5 R$
    WAVY_/ROUGH B1DS 9 ! F/ ?REE R[S &
    "O B1D 9 ! F\R? R[ MOV$ 6! "R SIDE
    (! ABACUS FRAME4,'
  ,/EP #3_3 ,C.T ALL (! B1DS MOV$ 6!
"R SIDE (! FRAME 6>RIVE AT ! ANSW]
.#31_4
           ,,NUMB] ,,-B9,NS         #I

  ,USE ! .,E,ZEE,,COUNT .,ABACUS
6DEMON/RATE V>I\S NUMB] -B9,NS T EQUAL
! SAME VALUE4

    ,9ITIAL ,SETUP3
,SLIDE ALL (! B1DS 6! LEFT SIDE (!
  FRAME4
,FLIP ALL (! B1DS 6! R$ WAVY_/ROUGH
  SIDE4
,POSI;N ! .,E,ZEE,,COUNT .,ABACUS 9
  FRONT (! /UD5T S T B1DS >E MOV$ F
  LEFT 6"R ACR ! FRAME4

    ,EXAMPLE3 ,%[ V>I\S NUMB] -B9,NS (
    #6_4
  ,USE EA* R[ (! ABACUS 6DEMON/RATE A
NUMB] -B9,N T EQUALS #6_4 ,! F/ NUMB]
9 ! EQU,N IS REPRES5T$ 0A R$1 WAVY
B1D(S) MOV$ 6! "R SIDE (! FRAME4 ,!
SECOND NUMB] (! EQU,N IS REPRES5T$ 0A
YELL[1 SMOO? B1D(S) MOV$ 6! "R SIDE (!
FRAME4
                                   #AC
      ,',ILLU/R,N %[S SIX B1DS 9   #AJ
    EA* (! TOP SIX R[S MOV$ 6! "R SIDE
    (! ABACUS FRAME4 ,B1DS 9 EA* R[ >E
    A -B9,N ( YELL[ & R$ B1DS
    6REPRES5T (IN ORD] F ! F/ 6! SIX?
    R[) ! FOLL[+ EQU,NS3 #1+5 .K #6,
    #2+4 .K #6, #3+3 .K #6,
    #4+2 .K #6, #5+1 .K #6, &
    #6+0 .K #6_4 ,! F/ NUMB] 9 ! EQU,N
    IS REPRES5T$ 0A R$1 WAVY B1D(S)
    MOV$ 6! "R SIDE (! ABACUS FRAME4
    ,! SECOND NUMB] (! EQU,N IS
    REPRES5T$ 0A YELL[1 SMOO? B1D(S)
    MOV$ 6! "R SIDE (! ABACUS FRAME4,'
-----------------------------------#AA
             ,,SUBTRAC;N

  ,USE ! .,E,ZEE,,COUNT .,ABACUS 6P]=M
SUBTRAC;N TASKS4

    ,9ITIAL ,SETUP3
,SLIDE ALL (! B1DS 6! LEFT SIDE (!
  FRAME4
,FLIP ALL (! B1DS 6! R$ WAVY_/ROUGH
  SIDE4
,POSI;N ! .,E,ZEE,,COUNT          A#AA
  .,ABACUS 9 FRONT (! /UD5T S T B1DS
  >E MOV$ F LEFT 6"R ACR ! FRAME4

    ,EXAMPLE #1_3 #10-5 .K =
  ,/EP #1_3 ,SLIDE #10 R$ WAVY_/ROUGH
B1DS 9 ! TOP R[ 6! "R SIDE (! FRAME4
      ,',ILLU/R,N %[S T5 R$
    WAVY_/ROUGH B1DS 9 ! TOP R[ MOV$
    6! "R SIDE (! ABACUS FRAME4,'
-----------------------------------#AB
  ,/EP #2_3 ,F LEFT 6"R1 FLIP #5 (!
B1DS 9 ! F/ R[ 6! YELL[ SMOO? SIDE
6REPRES5T ! NUMB] SUBTRACT$ F ! TOTAL
NUMB] ( B1DS4
      ,',ILLU/R,N %[S T5 B1DS 9 ! TOP
    R[ MOV$ 6! "R SIDE (! ABACUS
    FRAME4 ,! FIVE LEFT-MO/ B1DS >E
    FLIPP$ 6! YELL[ SMOO? SIDE4,'
  ,/EP #3_3 ,F LEFT 6"R1 C.T ! REMA9+
NUMB] ( R$ WAVY_/ROUGH B1DS 6>RIVE AT
! ANSW] .#5_4

    ,EXAMPLE #2_3 #30-12 .K =
  ,/EP #1_3 ,SLIDE #30 R$          #AE
WAVY_/ROUGH B1DS 6! "R SIDE (!    A#AB
FRAME--#10 B1DS 9 ! F/ R[1 #10 B1DS 9
! SECOND R[1 & #10 B1DS 9 ! ?IRD R[4
      ,',ILLU/R,N %[S T5 R$
    WAVY_/ROUGH B1DS 9 ! TOP ?REE R[S
    MOV$ 6! "R SIDE (! ABACUS FRAME4,'
  ,/EP #2_3 ,F LEFT 6"R1 FLIP #10 B1DS
9 ! F/ R[ & #2 B1DS 9 ! SECOND R[ 6!
YELL[ SMOO? SIDE 6REPRES5T ! NUMB]
SUBTRACT$ F ! TOTAL NUMB] ( B1DS4
      ,',ILLU/R,N %[S T5 B1DS 9 ! TOP
    ?REE R[S MOV$ 6! "R SIDE (! ABACUS
    FRAME4 ,ALL T5 B1DS 9 ! F/ R[ &!
    TWO LEFT-MO/ B1DS 9 ! SECOND R[ >E
    FLIPP$ 6! YELL[ SMOO? SIDE4,'
  ,/EP #3_3 ,F LEFT 6"R1 C.T ! REMA9+
NUMB] ( R$ WAVY_/ROUGH B1DS 9 ! SECOND
& ?IRD R[S 6>RIVE AT ! ANSW] .#18_4
-----------------------------------#AC
    ,EXAMPLE #3_3 #100-31 .K =
  ,/EP #1_3 ,SLIDE ALL (! R$
WAVY_/ROUGH B1DS 6! "R SIDE (! FRAME
6REPRES5T #100_4
      ,',ILLU/R,N %[S T5 R$
    WAVY_/ROUGH B1DS 9 ALL T5 R[S MOV$
    6! "R SIDE (! ABACUS          A#AC
    FRAME4,'
  ,/EP #2_3 ,2G9N+ 9 ! TOP R[1 FLIP
#31 B1DS 6! YELL[ SMOO? SIDE4 ,MOVE
LEFT 6"R AL;G EA* R[ Z B1DS >E FLIPP$4
,ALL (! B1DS 9 ! TOP ?REE R[S1 PLUS "O
B1D 9 ! F\R? R[1 %D 2 FLIPP$4
      ,',ILLU/R,N %[S T5 B1DS 9 ALL T5
    R[S MOV$ 6! "R SIDE (! ABACUS
    FRAME4 ,ALL (! B1DS 9 ! TOP ?REE
    R[S1 Z WELL Z ! LEFT-MO/ B1D 9 !
    F\R? R[1 >E FLIPP$ 6! YELL[ SMOO?
    SIDE4,'
  ,/EP #3_3 ,2G9N+ 9 ! F\R? R[1 C.T !
REMA9+ NUMB] ( R$ WAVY_/ROUGH B1DS
6>RIVE AT ! ANSW] .#69_4 ,5C\RAGE !
/UD5T 6C.T BY #10_'S 9 R[S ) ALL B1DS
FLIPP$ 6! R$ WAVY_/ROUGH SIDE4
--------------------------------#AD-AE
            ,,MULTIPLIC,N

  ,USE ! .,E,ZEE,,COUNT .,ABACUS 6P]=M
MULTIPLIC,N TASKS4

                                   #AG
    ,9ITIAL ,SETUP3               A#AE
,SLIDE ALL (! B1DS 6! LEFT SIDE (!
  FRAME4
,FLIP ALL (! B1DS 6! R$ WAVY_/ROUGH
  SIDE4
,POSI;N ! .,E,ZEE,,COUNT .,ABACUS 9
  FRONT (! /UD5T S T B1DS >E MOV$ F
  LEFT 6"R ACR ! FRAME4

    ,EXAMPLE #1_3 #4@*5 .K =
  ,/EP #1_3 ,REPRES5T #4 GR\PS ( #5
UNITS 0SLID+ FIVE B1DS 9 EA* (! F/ F\R
R[S 6! "R SIDE (! FRAME4
      ,',ILLU/R,N %[S FIVE R$
    WAVY_/ROUGH B1DS 9 ! TOP F\R R[S
    MOV$ 6! "R SIDE (! ABACUS FRAME4,'
  ,/EP #2_3 ,C.T ! TOTAL NUMB] ( R$
WAVY_/ROUGH B1DS MOV$ 6! "R SIDE (!
FRAME 6>RIVE AT ! ANSW] .#20_4
-----------------------------------#AF
    ,EXAMPLE #2_3 #3@*9 .K =
  ,/EP #1_3 ,REPRES5T #3 GR\PS ( #9
UNITS 0SLID+ N9E B1DS 9 ! F/ ?REE R[S
6! "R SIDE (! FRAME4
      ,',ILLU/R,N %[S N9E R$
    WAVY_/ROUGH B1DS 9 ! TOP      A#AF
    ?REE R[S MOV$ 6! "R SIDE (! ABACUS
    FRAME4,'
  ,/EP #2_3 ,C.T ! TOTAL ( R$
WAVY_/ROUGH B1DS MOV$ 6! "R SIDE (!
FRAME 6>RIVE AT ! ANSW] .#27_4
-----------------------------------#AG
               ,,DIVI.N

  ,USE ! .,E,ZEE,,COUNT .,ABACUS 6P]=M
DIVI.N TASKS4

    ,9ITIAL ,SETUP3
,SLIDE ALL (! B1DS 6! LEFT SIDE (!
  FRAME4
,FLIP ALL (! B1DS 6! R$ WAVY_/ROUGH
  SIDE4
,POSI;N ! .,E,ZEE,,COUNT .,ABACUS 9
  FRONT (! /UD5T S T B1DS >E MOV$ F
  LEFT 6"R ACR ! FRAME4

    ,EXAMPLE #1_3 #8./2 .K =
  ,/EP #1_3 ,SLIDE #8 R$ WAVY_/ROUGH
B1DS 9 ! TOP R[ 6! "R SIDE (! FRAME4
      ,',ILLU/R,N %[S EI<T R$      #AI
    WAVY_/ROUGH B1DS 9 ! TOP R[   A#AG
    MOV$ 6! "R SIDE (! ABACUS FRAME4,'
  ,/EP #2_3 ,6DIVIDE ! #8 B1DS BY #2,
C.T F LEFT 6"R 8"O1 TWO10 & FLIP E
SECOND B1D 6! YELL[ SMOO? SIDE4 ,3T9UE
6C.T 0TWO ACR ! 5TIRE SET ( #8 B1DS4
      ,',ILLU/R,N %[S EI<T B1DS 9 !
    TOP R[ MOV$ 6! "R SIDE (! ABACUS
    FRAME4 ,MOV+ LEFT 6"R AL;G ? SET (
    EI<T B1DS1 E O!R B1D IS FLIPP$ 6!
    YELL[ SMOO? SIDE4,'
-----------------------------------#AH
  ,/EP #3_3 ,C.T ! NUMB] ( YELL[ SMOO?
B1DS 6>RIVE AT ! ANSW] .#4_4

    ,EXAMPLE #2_3 #25./3 .K =
  ,/EP #1_3 ,SLIDE #25 R$ WAVY B1DS 6!
"R SIDE (! FRAME--#10 9 ! F/ R[1 #10 9
! SECOND R[1 & #5 9 ! ?IRD R[4
      ,',ILLU/R,N %[S T5 R$
    WAVY_/ROUGH B1DS 9 ! F/ TWO R[S1 Z
    WELL Z FIVE B1DS 9 ! ?IRD R[1 MOV$
    6! "R SIDE (! ABACUS FRAME4,'
  ,/EP #2_3 ,6DIVIDE ! #25 B1DS BY #3,
C.T F LEFT 6"R1 8"O1 TWO1 ?REE10 &
FLIP E ?IRD B1D 6! YELL[ SMOO?    A#AH
SIDE4 ,3T9UE 6C.T 0?REE ACR ! 5TIRE
SET ( #25 B1DS UNTIL NO L;G] POSSI#4
      ,',ILLU/R,N %[S T5 B1DS 9 F/ &
    SECOND R[S1 Z WELL Z FIVE B1DS 9 !
    ?IRD R[1 MOV$ 6! "R SIDE (! ABACUS
    FRAME4 ,MOV+ LEFT 6"R & TOP
    6BOTTOM AL;G ^! SETS ( B1DS1 E
    ?IRD B1D IS FLIPP$ 6! YELL[ SMOO?
    SIDE4,'
  ,/EP #3_3 ,C.T ! NUMB] ( YELL[ SMOO?
B1DS 6>RIVE AT ! ANSW] .#8 )A .REMA9D]
.( .#1 (9DICAT$ 0! "R-MO/ R$
WAVY_/ROUGH B1D 9 ! ?IRD R[)_4
-----------------------------------#AI
              ,,FRAC;NS

  ,USE ! .,E,ZEE,,COUNT .,ABACUS
69TRODUCE & RE9=CE BASIC FRAC;N
3CEPTS4

    ,9ITIAL ,SETUP3
,SLIDE ALL (! B1DS 6! LEFT SIDE (!
  FRAME4
,FLIP ALL (! B1DS 6! R$            #BA
  WAVY_/ROUGH SIDE4               A#AI

    ,EXAMPLE #1_3 ,DEMON/RATE ! FRAC;N
    ?1/2#_4
  ,/EP #1_3 ,2G9 ) ALL (! B1DS FLIPP$
6! SAME COLOR_/TEXTURE--R$ WAVY_/ROUGH
SIDE--6REPRES5T A .:OLE4
      ,',ILLU/R,N %[S R$ WAVY_/ROUGH
    B1DS 9 ALL T5 R[S SET AG/ ! LEFT
    SIDE (! ABACUS FRAME4,'
  ,/EP #2_3 ,FLIP #50 (! #100 B1DS
6REPRES5T ! FRAC;N ?1/2#_4 ,= EXAMPLE1
FLIP ALL (! B1DS 9 ! L[] FIVE R[S 6!
YELL[ SMOO? SIDE4
      ,',ILLU/R,N %[S ! B1DS 9 ALL T5
    R[S SET AG/ ! LEFT SIDE (! ABACUS
    FRAME4 ,ALL (! B1DS 9 ! LA/ FIVE
    R[S >E FLIPP$ 6! YELL[ SMOO?
    SIDE4,'
-----------------------------------#BJ
  ,/EP #3_3 ,3T9UE 6%[ O!R WAYS
6REPRES5T ! FRAC;N ?1/2#_4 ,= EXAMPLE1
FLIP ALL (! B1DS 9 E O!R R[ 6! YELL[
SMOO? SIDE4
      ,',ILLU/R,N %[S ! B1DS 9 ALL T5
    R[S SET AG/ ! LEFT SIDE (!    A#BJ
    ABACUS FRAME4 ,ALL T5 B1DS 9 ! F/1
    ?IRD1 FIF?1 SEV5?1 & N9? R[S >E
    FLIPP$ 6! YELL[ SMOO? SIDE4,'

    ,EXAMPLE #2_3 ,DEMON/RATE ! FRAC;N
    ?1/4#_4
  ,/EP #1_3 ,2G9 ) ALL (! B1DS FLIPP$
6! SAME COLOR_/TEXTURE--R$ WAVY_/ROUGH
SIDE--6REPRES5T A .:OLE4
      ,',ILLU/R,N %[S R$ WAVY_/ROUGH
    B1DS 9 ALL T5 R[S SET AG/ ! LEFT
    SIDE (! ABACUS FRAME4,'
  ,/EP #2_3 ,FLIP #25 (! #100 B1DS 6!
YELL[ SMOO? SIDE 6REPRES5T ! FRAC;N
.?1/4#_4 ,= EXAMPLE1 FLIP ! F/ FIVE
B1DS 9 ! F/ FIVE R[S 6! YELL[ SMOO?
SIDE4
      ,',ILLU/R,N %[S ALL T5 R[S (
    B1DS SET AG/ ! LEFT SIDE (! ABACUS
    FRAME4 ,! F/ FIVE B1DS 9 ! F/ FIVE
    R[S >E FLIPP$ 6! YELL[ SMOO?
    SIDE4,'

                                   #BC
              ,,PATT]NS            #BA

  ,USE ! .,E,ZEE,,COUNT .,ABACUS
6DESCRIBE & CR1TE A V>IETY ( TEXTURE1
COLOR1 & NUMB] PATT]NS4

    ,9ITIAL ,SETUP3
,SLIDE ALL (! B1DS 6! LEFT SIDE (!
  FRAME4
,FLIP ALL (! B1DS 6! R$ WAVY_/ROUGH
  SIDE4

    ,EXAMPLE #1_3 ,3T9UE A TEXTURE OR
    COLOR PATT]N4
  ,/EP #1_3 ,/>T+ )! TOP R[ & 3T9U+ "?
! LA/ R[1 FLIP E ?IRD B1D 6! YELL[
SMOO? SIDE4 ,MOVE LEFT 6"R AL;G EA* R[
Z B1DS >E FLIPP$4
      ,',ILLU/R,N %[S ALL T5 R[S (
    B1DS SET AG/ ! LEFT SIDE (! ABACUS
    FRAME4 ,/>T+ )! TOP R[ & 3T9U+ "?
    ! LA/ R[ (MOV+ LEFT 6"R AL;G EA*
    R[), E ?IRD B1D IS FLIPP$ 6! YELL[
    SMOO? SIDE4,'
  ,/EP #2_3 ,ASK ! /UD5T 6DESCRIBE !
RESULT+ VISUAL AND_/OR TACTILE    A#BA
PATT]N4
-----------------------------------#BB
    ,EXAMPLE #2_3 ,DEMON/RATE A PATT]N
    ( ASC5D+ (OR DESC5D+) NUMB]
    PATT]NS4
  ,/EP #1_3 ,2G9N+ )! F/ R[1
PROGRESSIVELY FLIP B1DS 6! YELL[ SMOO?
SIDE 6DEMON/RATE AN 9CR1S+ NUMB]
PATT]N4 ,FLIP ! F/ B1D 9 ! F/ R[1 ! F/
TWO B1DS 9 ! SECOND R[1 ! F/ ?REE B1DS
9 ! ?IRD R[1 & S ON UNTIL ALL (! B1DS
>E FLIPP$ 9 ! LA/ (OR T5?) R[4
      ,',ILLU/R,N %[S ALL T5 R[S (
    B1DS SET AG/ ! LEFT SIDE (! ABACUS
    FRAME4 ,! F/ B1D 9 ! F/ R[ IS
    FLIPP$ 6! YELL[ SMOO? SIDE1 TWO
    B1DS 9 ! SECOND R[ >E FLIPP$ 6!
    YELL[ SMOO? SIDE1 ?REE B1DS 9 !
    ?IRD R[ >E FLIPP$ 6! YELL[ SMOO?
    SIDE1 & S ON UNTIL ALL T5S B1DS 9
    ! LA/ (T5?) R[ >E FLIPP$ 6! YELL[
    SMOO? SIDE4,'
  ,/EP #2_3 ,ASK ! /UD5T 6DESCRIBE !
RESULT+ VISUAL AND_/OR TACTILE     #BE
PATT]N4                           A#BB
-----------------------------------#BC
               ,,GRAPHS

  ,USE ! .,E,ZEE,,COUNT .,ABACUS Z A
TOOL 6PLOT SIMPLE GRAPHS4 ,! ;,X-AXIS
IS REPRES5T$ 0! L[] $GE (! FRAME &
;,Y-AXIS IS REPRES5T$ 0! LEFT $GE (!
FRAME4
      ,',ILLU/R,N %[S ALL T5 R[S (
    B1DS SET AG/ ! LEFT SIDE (! ABACUS
    FRAME4 ,! L[] $GE (! ABACUS FRAME
    REPRES5TS ! 8;,X-AXIS0 &! LEFT $GE
    (! ABACUS FRAME REPRES5TS !
    8;,Y-AXIS40 ,6ILLU/RATE A B>
    GRAPH1 DI6]5T NUMB]S ( B1DS >E
    FLIPP$ 6! YELL[ SMOO? SIDE 9 ! F/
    F\R COLUMNS3 SEV5 B1DS 9 ! F/
    COLUMN1 ?REE B1DS 9 ! SECOND
    COLUMN1 F\R B1DS 9 ! ?IRD COLUMN1
    & "O B1D 9 ! F\R? COLUMN4,'

    ,9ITIAL ,SETUP3
,SLIDE ALL (! B1DS 6! LEFT SIDE (!
  FRAME4
,FLIP ALL (! B1DS 6! R$           A#BC
  WAVY_/ROUGH SIDE4
-----------------------------------#BD
    ,EXAMPLE3 ,RECORD DATA F A SURVEY
    ( CLASSMATES' FAVORITE ICE CR1M
    FLAVOR4
  ,/EP #1_3 ,POSI;N ! ABACUS ON TOP (A
%EET ( PAP] ) PRE-LABEL$ (IN PR9T
AND_/OR BRL) ;,X- & ;,Y-AXIS
DESCRIPTORS T ALIGN )! R[S & COLUMNS
(! ABACUS4
  ,/EP #2_3 ,FLIP ! B1DS 6! YELL[
SMOO? SIDE 9 EA* LABEL$ COLUMN
6REPRES5T COLLECT$ DATA4
      ,',ILLU/R,N %[S ALL T5 R[S (
    B1DS SET AG/ ! LEFT SIDE (! ABACUS
    FRAME4 ,! L[] $GE (! ABACUS FRAME
    REPRES5TS ! 8;,X-AXIS0 (WITH !
    DATA LABELS ,VANILLA1 ,*OCOLATE1 &
    ,/RAWB]RY) &! LEFT $GE (! ABACUS
    FRAME REPRES5TS ! 8;,Y-AXIS0 (WITH
    ! DATA LABELS #1 "? #10)_2 E O!R
    COLUMN IS SKIPP$ 6L1VE A GAP 2T
    EA* LABEL$ COLUMN4 ,6ILLU/RATE
    COLLECT$ DATA 9 A B> GRAPH     #BG
    FA%ION1 B1DS >E FLIPP$ 6!     A#BD
    YELL[ SMOO? SIDE3 SEV5 B1DS >E
    FLIPP$ 9 ! F/ COLUMN (,VANILLA),
    ?REE B1DS >E FLIPP$ 9 ! ?IRD
    COLUMN (,*OCOLATE), & F\R B1DS >E
    FLIPP$ 9 ! FIF? COLUMN
    (,/RAWB]RY)_4,'
-----------------------------------#BE
           ,,PLACE ,,VALUE

  ,USE ! .,E,ZEE,,COUNT .,ABACUS
6ILLU/RATE PLACE VALUE4 ,6AVOID 3FU.N
DUR+ TRANSI;N 6,,APH,''S .,EXP&$
.,2G9N]'S .,ABACUS AND_/OR .,CRANM]
.,ABACUS1 BO? ( : 5TAIL V]TICAL B1D
MOVE;T1 DI6]5T B1D
ARRANGEMENTS_/QUANTITIES1 & UNIQUE
REGR\P+ RULES1 3T9UE 6ORI5T !
.,E,ZEE,,COUNT .,ABACUS S T ! B1DS >E
MOV$ LEFT 6"R AL;G ! ELA/IC B&S4
      ,',ILLU/R,N %[S ! B1DS 9 ALL T5
    R[S SET AG/ ! LEFT SIDE (! ABACUS
    FRAME & FLIPP$ 6! YELL[ SMOO?
    SIDE4 ,! F/ R[ REPRES5TS ,,"OS1 !
    SECOND R[ REPRES5TS ,,T5S1 ! ?IRD
    R[ REPRES5TS ,,HUNDR$S1 !     A#BE
    F\R? R[ REPRES5TS ,,?\S&S1 ! FIF?
    R[ REPRES5TS ,,T5 ,,?\S&S1 ! SIX?
    R[ REPRES5TS ,,HUNDR$ ,,?\S&S1 !
    SEV5? R[ REPRES5TS ,,MILLIONS1 !
    EI<? R[ REPRES5TS ,,T5 ,,MILLIONS1
    ! N9? R[ REPRES5TS ,,HUNDR$
    ,,MILLIONS1 &! T5? R[ REPRES5TS
    ,,BILLIONS4,'

    ,9ITIAL ,SETUP3
,SLIDE ALL (! B1DS 6! LEFT SIDE (!
  FRAME4
,FLIP ALL (! B1DS 6! .YELL[ .SMOO?
  .SIDE (TO
-----------------------------------#BF
  DI6]5TIATE F O!R ACTIVITIES DESCRIB$
  E>LI] 9 ? ,9/RUC;N ,BOOKLET)_4
,RE9=CE ABACUS T]M9OLOGY S* Z 8SETT+0
  & 8CLE>+0 B1DS4
,POSI;N ! ,E,ZEE,,COUNT ,ABACUS 9
  FRONT (! /UD5T S T ! B1DS >E MOV$
  LEFT 6"R ACR ! FRAME Z NUMB]S >E
  SET4
,MOVE F ! TOP (F/) R[ 6! BOTTOM    #BI
  (T5?) R[ Z 9CR1S+ VALUES >E     A#BF
  SET--! F/ R[ REPRES5TS ,,"OS1 !
  SECOND R[ REPRES5TS ,,T5S1 ! ?IRD R[
  REPRES5TS ,,HUNDR$S1 & S ON4

    ,EXAMPLE #1_3 ,DEMON/RATE REGR\P+
    :5 SETT+ VALUES ON ! ,E,ZEE,,COUNT
    ,ABACUS4
77777777777777777777777777777777777777
  .,RULE .( .,REGR\P+3 ,:5"E ALL (!
B1DS )9 A R[ >E MOV$ OR 8SET0 6! "R
SIDE (! FRAME1 !Y >E RETURN$ OR
8CLE>$0 6! LEFT SIDE (! FRAME &
REPLAC$ 0"O B1D1 MOV$ 6! "R1 9 ! NEXT
R[4
GGGGGGGGGGGGGGGGGGGGGGGGGGGGGGGGGGGGGG
  ,/EP #1_3 ,SLIDE ALL T5 B1DS 9 !
,,"OS R[ (TOP_/FIRST R[) 6! "R SIDE (!
FRAME4 ,C.T Z EA* B1D IS MOV$--.#1,
.#2, .#3, ETC4--UNTIL ! VALUE ( .#10
IS R1*$4
      ,',ILLU/R,N %[S ALL (! B1DS
    FLIPP$ 6! YELL[ SMOO? SIDE4 ,ALL
    T5 B1DS 9 ! TOP R[ >E MOV$ 6! "R
    SIDE (! ABACUS FRAME4,'
  ,/EP #2_3 ,REGR\P 6! ,,T5S R[3   #BG
,RETURN OR 8CLE>0 ALL (! B1DS 9 !
,,"OS R[ (TOP R[) 6! LEFT SIDE (!
FRAME & SLIDE OR 8SET0 ONLY "O B1D 9 !
,,T5S R[ (SECOND R[) 6! "R SIDE (!
FRAME 6REPRES5T ! VALUE ( .#10_4
      ,',ILLU/R,N %[S REGR\P+ 0RETURN+
    T5 YELL[ SMOO? B1DS 9 ! F/ R[
    (,,"OS) 6! LEFT SIDE (! ABACUS
    FRAME & MOV+ "O YELL[ SMOO? B1D 9
    ! SECOND R[ (,,T5S) 6! "R SIDE (!
    ABACUS FRAME4,'
  ,/EP #3_3 ,3T9UE 6C.T Z B1DS 9 !
,,T5S R[ (SECOND R[) >E MOV$ 6! "R
SIDE (! FRAME--.#20, .#30, .#40,
ETC4--UNTIL ! VALUE ( .#100 IS R1*$4
      ,',ILLU/R,N %[S ALL B1DS FLIPP$
    6! YELL[ SMOO? SIDE4 ,ONLY ! T5
    B1DS 9 ! SECOND R[ (,,T5S) >E MOV$
    6! "R SIDE (! ABACUS FRAME4,'
  ,/EP #4_3 ,REGR\P 6! ,,HUNDR$S R[3
,RETURN OR 8CLE>0 ALL (! B1DS 9 !
,,T5S R[ (SECOND R[) 6! "R SIDE (!
FRAME & SLIDE OR 8SET0 "O B1D 9 !
,,HUNDR$S R[ (?IRD R[) 6REPRES5T   #CA
! VALUE ( .#100_4                 A#BG
      ,',ILLU/R,N %[S REGR\P+ 0RETURN+
    ALL T5 YELL[ SMOO? B1DS 9 ! SECOND
    R[ (,,T5S) 6! LEFT SIDE (! ABACUS
    FRAME & MOV+ "O YELL[ SMOO? B1D 9
    ! ?IRD R[ (,,HUNDR$S) 6! "R SIDE
    (! ABACUS FRAME4,'
  ,/EP #5_3 ,3T9UE ! REGR\P+ RULE :5
SETT+ VALUES 9 R[S REPRES5T+ ,,?\S&S1
,,T5 ,,?\S&S1 ,,HUNDR$ ,,?\S&S1 ETC4
,! LA/ (T5?) R[ REPRES5TS ,,BILLIONS4
-----------------------------------#BH
    ,EXAMPLE #2_3 ,SET ! VALUE #64 ON
    ! ,E,ZEE,,COUNT ,ABACUS4
  ,/EP #1_3 ,SLIDE F\R B1DS 9 ! ,,"OS
R[ 6! "R SIDE (! FRAME4
  ,/EP #2_3 ,SLIDE SIX B1DS 9 ! ,,T5S
R[ 6! "R SIDE (! FRAME4
      ,',ILLU/R,N %[S ALL B1DS FLIPP$
    6! YELL[ SMOO? SIDE4 ,6REPRES5T !
    VALUE #64, F\R B1DS 9 ! F/ R[
    (,,"OS) & #6 B1DS 9 ! SECOND R[
    (,,T5S) >E MOV$ 6! "R SIDE (!
    ABACUS FRAME4,'

    ,EXAMPLE #3_3 ,SET ! VALUE    A#BH
    #375 ON ! ,E,ZEE,,COUNT ,ABACUS4
  ,/EP #1_3 ,SLIDE FIVE B1DS 9 ! ,,"OS
R[ 6! "R SIDE (! FRAME4
  ,/EP #2_3 ,SLIDE SEV5 B1DS 9 ! ,,T5S
R[ 6! "R SIDE (! FRAME4
  ,/EP #3_3 ,SLIDE ?REE B1DS 9 !
,,HUNDR$S R[ 6! "R SIDE (! FRAME4
      ,',ILLU/R,N %[S ALL B1DS FLIPP$
    6! YELL[ SMOO? SIDE4 ,6REPRES5T !
    VALUE #375, FIVE B1DS 9 ! F/ R[
    (,,"OS), SEV5 B1DS 9 ! SECOND R[
    (,,T5S), & ?REE B1DS 9 ! ?IRD R[
    (,,HUNDR$S) >E MOV$ 6! "R SIDE (!
    ABACUS FRAME4,'
-----------------------------------#BI
               ,,GAMES

  ,USE ! .,E,ZEE,,COUNT .,ABACUS
6FACILITATE A V>IETY ( T1*]- OR
/UD5T-CR1T$ GAMES T RE9=CE C.T+1
SPATIAL 3CEPTS1 TEXTURE_/COLOR
4CRIM9,N1 & S =?4

,EXAMPLE3 ,N ,S ,CLOSE6            #CC
,NUMB] ( ,PLAY]S3 #2              A#BI

    ,9ITIAL ,SETUP3
,FLIP ALL (! B1DS 6! R$ WAVY_/ROUGH
  SIDE4
,6KEEP B1DS F MOV+ SIDE 6SIDE DUR+
  GAME PLAY1 USE TWO L>GE RU2] B&S
  6CR1TE LEFT & "R B.D>IES OR 8BUMP]S0
  ON ! ABACUS4 ,! R[S ( B1DS %D 2
  C5T]$ ON ! ABACUS4
      ,',ILLU/R,N %[S ALL (! B1DS
    FLIPP$ 6! R$ WAVY_/ROUGH SIDE &
    C5T]$ SIDE 6SIDE )9 ! ABACUS
    FRAME4 ,TWO V]TICAL L9ES REPRES5T
    ! NE$$ POSI;N ( TWO RU2] B&S
    6CR1TE LEFT & "R B.D>IES4,'
-----------------------------------#CJ
    ,9/RUC;NS3
  ,EA* PLAY] TAKES TURNS FLIPP+ ANY "O
B1D )9 ! #10@*10 MATRIX 6AVOID "E HAV+
TWO YELL[ SMOO? B1DS ADJAC5T 6EA*
O!R--SIDE 0SIDE ,,OR ABV & 2L4
,DIAGON,Y POSI;N$ YELL[ SMOO? B1DS >E
ALL[$4
      ,',ILLU/R,N %[S AN EXAMPLE ( H[
    B1DS >E FLIPP$ 6! YELL[       A#CJ
    SMOO? SIDE 0PLAY]S DUR+ ! 8,N ,S
    ,CLOSE0 GAME4 ,CROSS$-\ PAIRS (
    V]TIC,Y OR HORIZONT,Y ADJAC5T B1DS
    9DICATE ILLEGAL MOVES4 ,DIAGON,Y
    POSI;N$ YELL[ SMOO? B1DS >E
    ALL[$4,'

    ,W9N]3
  ,! PLAY] :O GOES ! L;GE/ )\T POSI;N+
TWO YELL[ SMOO? B1DS NEXT 6EA*
O!R--HORIZONT,Y OR V]TIC,Y--IS ! W9N]
(! GAME4
-----------------------------------#CA
               ,,EXTRAS

  ,! REV]SE SIDE (! .,E,ZEE,,COUNT
.,ABACUS HAS A DRY-ERASA# SURFACE T
ALL[S /UD5TS ) L[ VI.N 6WRITE MA?
PRO#MS1 DRAW PICTURES1 PLAY GAMES
(E4G41 ,TIC-,TAC-,TOE), & S =?4 ,USE ?
SIDE (! ABACUS 9 -B9,N ) (F-!-%ELF
DRY-ERASE M>K]S4
      ,',ILLU/R,N %[S TWO USES (! :ITE
    BO>D SIDE (! ABACUS--A         #CE
    ,TIC-,TAC-,TOE GAME & AN      A#CA
    A4I;N PRO#M4,'























              ,,RES\RCES        #CB-CC

  ,,APH (F]S A V>IETY ( ABACUS TOOLS &
RELAT$ 9/RUC;N GUIDES4

    ,ABACUSES
,EXP&$ ,2G9N]'S ,ABACUS (1-03181-00)
  ,PR9T ,GUIDEBOOK3 (7-03181-00)
  ,BRL ,GUIDEBOOK3 (5-03181-00)
,L>GE ,ABACUS (1-03170-00)
,CRANM] ,ABACUS (1-03150-00)

    ,ABACUS ,BOOKS
..,ABACUS ,BASIC ,-PET5CY3 ,A ,C.T+
    .,ME?OD
  ,L>GE ,PR9T3 #7-00219-00
  ,BRL3 #5-00219-00
..,! ,ABACUS ,MADE .,EASY
  ,L>GE ,PR9T3 #4-00100-00
  ,BRL3 #5-00220-00
..,US+ ! ,CRANM] ,ABACUS =! .,BL
  ,L>GE ,PR9T3 #4-27110-00
  ,BRL3 #6-50100-00

  ,VISIT ,,APH,''S ,WEB SITE       #CG
_+[WWW.APH.ORG]_: = A4I;NAL       A#CC
9=M,N REG>D+ AVAILA# MA? MAT]IALS &
CURRICULA4

               ,,! ,,5D