,GRADES #B TO #E3 ,NEME?
   ,CODE ,SYMBOLS = ,FRAC;NS
     & ,SPATIAL ,PROBLEMS1
       ,9/RUC;NAL ,TOOLS1
    ,MAT]IALS1 & ,TE*NOLOGY

     ,LESSON #F3 ,DEVELOP+
    ,/UD5TS' ,ABACUS ,SKILLS

       ,PROJECT ,,9SPIRE
    ,UNIV]S;Y ( ,S\? ,C>OL9A
     ,UP/ATE1 ,SUMM] #BJBJ

    ,SLIDE #B3
    ,LESSON #F ,OBJECTIVES
  ,"PICIPANTS W 2 ABLE TO3
#A4 ,ID5TIFY ! DI6]5T TYPES (
  ABACI AVAILABLE
#B4 ,RECOGNIZE PRE-REQUISITE
  SKILLS /UD5TS NE$ PRIOR TO
  ABACUS 9/RUC;N
#C4 ,"N ! "PS ( ! ,CRANM] ABACUS
#D4 ,DESCRIBE ! DI6]5T ME?ODS =
  US+ ! ABACUS 9CLUD+ ! C.T+
  ME?OD1 LOGIC OR "PN] ME?OD1 &
  PAP] COMPATIBLE ME?OD4

    ,SLIDE #C3
    ,ACTIV;Y #F,A
  ,:AT >E ! "NS ( ! #D ABACI8
      @.<,PICTURE ,A3 ,AN ABACUS
    ) #B COLUMNS EA* 3TA9+ #I
    B1DS4
      ,PICTURE ;,B3 ,AN ABACUS )
    #C COLUMNS EA* 3TA9+ #I
    B1DS4
      ,PICTURE ;,C3 ,A SMALL
    ABACUS ) #AC COLUMNS4 ,EA*
    COLUMN HAS #D B1DS 2L A
    BLACK B> & "O B1D ABV !
    BLACK B>4
      ,PICTURE ;,D3 ,A BI7]
    ABACUS ) #AC COLUMNS4 ,EA*
    COLUMN HAS #D B1DS 2L A
    BLACK B> & "O B1D ABV !
    BLACK B>4@.>

    ,SLIDE #D3
    ,ACTIV;Y #F,A1 ,ANSW] ,KEY
,A ,2G9N] ,ABACUS             #B
      @.<,PICTURE ,A3 ,AN ABACUS
    ) #B COLUMNS EA* 3TA9+ #I
    B1DS4@.>
;,B ,EXP&$ ,2G9N] ,ABACUS
      @.<,PICTURE ;,B3 ,AN
    ABACUS ) #C COLUMNS EA*
    3TA9+ #I B1DS4@.>
;,C ,CRANM] ,ABACUS
      @.<,PICTURE ;,C3 ,A SMALL
    ABACUS ) #AC COLUMNS4 ,EA*
    COLUMN HAS #D B1DS 2L A
    BLACK B> & "O B1D ABV !
    BLACK B>4@.>
;,D ,L>GE ,ABACUS
      @.<,PICTURE ;,D3 ,A BI7]
    ABACUS ) #AC COLUMNS4 ,EA*
    COLUMN HAS #D B1DS 2L A
    BLACK B> & "O B1D ABV !
    BLACK B>4@.>

    ,SLIDE #E3
    ,ACTIV;Y #F,B
  ,D Y "K ! R1L "NS8
#A4 ,^? CUTE LL :ITE SPH]ICAL
  ?+S                         #C
#B4 ,T BUMPY BLACK B> AB A ?IRD
  ( ! WAY D[N F ! TOP ( ! ABACUS
#C4 ,:AT Y D :5 Y PU% "O ( ^?
  CUTE LL :ITE SPH]ICAL ?+S
  T[>DS T BUMPY BLACK B>
#D4 ,:AT Y D :5 Y PU% "O ( ^?
  CUTE LL :ITE SPH]ICAL ?+S AWAY
  F T BUMPY BLACK B>

    ,SLIDE #F3
    ,ACTIV;Y #F,B1 ,ANSW] ,KEY
#A4 ,^? CUTE LL :ITE SPH]ICAL
    ?+S
  ,B1DS
#B4 ,T BUMPY BLACK B> AB A ?IRD
    ( ! WAY D[N F ! TOP ( !
    ABACUS
  ,SEP>A;N B>
#C4 ,:AT Y D :5 Y PU% "O ( ^?
    CUTE LL :ITE SPH]ICAL ?+S
    T[>DS T BUMPY BLACK B>
  ,SET


                              #D
#D4 ,:AT Y D :5 Y PU% "O ( ^?
    CUTE LL :ITE SPH]ICAL ?+S
    AWAY F T BUMPY BLACK B>
  ,CLE>

    ,SLIDE #G3
    ,9 ! ,2G9N+444
    ,TWO ,ABACI TO ,*OOSE ,F
      ,! ,2G9N] ,ABACUS
_4 ,SET NUMB]S "? #II
_4 ,PLACE VALUE = "OS & T5S

      @.<,PICTURE ON LEFT3
    ,2G9N]'S ABACUS ) TWO
    COLUMNS@.>

      ,! ,EXP&$ ,2G9N] ,ABACUS
_4 ,SET NUMB]S "? #III
_4 ,PLACE VALUE = "OS1 T5S1 &
  HUNDR$S
_4 ,SET M"OY

      @.<,PICTURE ON "R3 ,EXP&$
    2G9N]'S ABACUS ) ?REE
    COLUMNS@.>                #E
  ,AN IDEA3 ,PUT GRAPHIC TAPE ON
! MIDDLE "<#ETH"> B1D TO M>K Z A
B5*M>K NUMB]4

    ,SLIDE #H3
    ,2G9N+ ,SKILLS ,9TRODUC$ ) !
    ,2G9N] ,ABACUS
_4 ,COMMON ABACUS T]M9OLOGY
_4 ,"O-TO-"O CORRESPOND;E
_4 ,ROTE C.T+
_4 ,C>D9AL;Y - 3NECT+ C.T+ TO !
    NUMB] ( OBJECTS
_4 ,PLACE VALUE
  _4 ,SETT+_/C.T+ NUMB]S 9 ! "OS
    COLUMN
  _4 ,SETT+_/C.T+ NUMB]S 9 ! T5S
    COLUMN
  _4 ,SETT+_/C.T+ NUMB]S 9 !
    HUNDR$S COLUMN "<IF YR
    ABACUS HAS #C COLUMNS6">
  _4 ,US+ MULTIPLE COLUMNS TO
    SET_/C.T NUMB]S


                              #F
    ,SLIDE #I3
    ,9TRODUC+ ,COMPUTA;N ) !
    ,2G9N] ,ABACUS
      ,NUMB] & OP]A;NS
_4 ,DIRECT ADDI;N
_4 ,REGR\P+ OR 9DIRECT ADDI;N
_4 ,DIRECT SUBTRAC;N
_4 ,REGR\P+ OR 9DIRECT SUBTRAC;N

    ,SLIDE #AJ3
    ,COMMON ,CORE ,- ,K9D]G>T5
    ,- #BND ,GRADE
_4 ,DOMA9S
  _4 ,C.T+ & ,C>D9AL;Y
  _4 ,OP]A;NS & ,ALGEBRAIC ,?9K+
  _4 ,NUMB]S & ,OP]A;NS 9 ,BASE
    ,T5
_4 ,/&>DS = ,MA!MATICAL
    ,PRACTICE
  #A4 ,MAKE S5SE ( PROBLEMS &
    P]SEV]E 9 SOLV+ !M4
  #B4 ,R1SON AB/RACTLY &
    QUANTITATIVELY4
  #C4 ,3/RUCT VIABLE >GU;TS &
    CRITIQUE ! R1SON+ (       #G
    O!RS4
  #D4 ,MODEL ) MA!MATICS4
  #E4 ,USE APPROPRIATE TOOLS
    /RATEGICALLY4
  #F4 ,ATT5D TO PRECI.N4

    ,SLIDE #AA3
    ,FUN ,?+S TO ,D ) ! ,2G9N]
    OR ,EXP&$ ,2G9N] ,ABACUS
_4 ,"N ! F\R S1SONS & SET A B1D
  = EA*
_4 ,SET A B1D = E S.D HE>D )9 A
  SPECIFI$ "T
_4 ,SET A B1D = EA* FAMILY MEMB]
  OR EA* /UD5T AT A S*OOL TABLE
_4 ,SET A B1D = EA* GOAL1
  BASKET1 RUN1 \1 ETC4 9 SPORTS
_4 ,SET ! TOTAL NUMB] ( "DS
  UNTIL A SPECIAL EV5T & CLE> A
  B1D EA* "D UNTIL ! EV5T O3URS

    ,SLIDE #AB3
    ,! ,CRANM] ,ABACUS
_4 ,9V5T$ BY ,TIM ;,V4 ,CRANM]
                              #H
_4 ,DESIGN IS BAS$ ON !
    ,JAPANESE ,SOROBAN
_4 ,REGUL> & ,L>GE SIZES
_4 ,MODIFICA;NS
  _4 ,TACTILE M>K+S
  _4 ,B1DS D N EASILY SLIDE
_4 ,! ABACUS ALL[S =3
  _4 ,SPE$
  _4 ,A3URACY
  _4 ,3CEPT DEVELOP;T
  _4 ,PORTABIL;Y

      @.<,PICTURE3 #BD SET ON !
    ,CRANM] ABACUS@.>

    ,SLIDE #AC3
    ,"PS ( ! ,CRANM] ,ABACUS &
    ,VALUES ( ! ,COLUMNS
      @.<,PICTURE3 ,PR9T DRAW+ (
    ,CRANM] ABACUS ) "PS
    LABEL$@.>



                              #I
    ,SLIDE #AD3
    ,3SID]A;NS = ,ABACUS
    ,9/RUC;N
_4 ,/UD5T'S AGE
_4 ,T1* ! "PS ( ! ABACUS & _!
  PROP] "NS4
_4 ,T1* T]MS S* Z 8SET0 &
  8CLE>40
_4 ,T1* PROP] F+]+ TE*NIQUES4
_4 ,T1* /UD5TS TO CLE> 2F ! NEXT
  PROBLEM4
_4 ,/UD5TS NE$ TO H EXP]I;E BO?
  ) ! ABACUS & BRLWRIT] S !Y C
  %[ ! 8/EPS0 TO GIVE EVID;E !Y
  "U/& ! 3CEPTS4
_4 ,DON'T GET CAU<T UP ON "O
  ME?OD1 FOCUS ON ! /UD5T'S
  LE>N+ /YLE & 9DIVIDUAL;Y4

    ,SLIDE #AE3
    ,PROMOT+ ,/UD5T ,SU3ESS ) !
    ,ABACUS
_4 ,PLACE ! ABACUS FLAT ON A H>D
  SURFACE
                             #AJ
_4 ,3SID] US+ A NONSKID MAT
  "<I4E4 ,DYCEM1 RU2] %ELF L9]1
  ,GRIP-,X %ELF L9]1 ,VELCRO">
_4 ,PLACE ! ABACUS APPROXIMATELY
  #F 9*ES F ! /UD5T
_4 ,PLACE ! ABACUS ) ! S+LE R[ (
  B1DS AWAY F ! /UD5T & P>ALLEL
  TO ! /UD5T
_4 ,ADULTS %D H AN ABACUS & "W
  AL;GSIDE _! /UD5TS4
_4 ,SIT 2S ! /UD5T1 R ?AN FAC+
  !M1 TO AVOID REV]SAL 3FU.N4

    ,SLIDE #AF3
    ,C.T+ ,ME?OD
_4 .7,ABACUS ,BASIC ,COMPET5CY3
  ,A ,C.T+ ,ME?OD.' BY ,SUSAN
  ;,M4 ,MILLAWAY
_4 .7,! ,C.T+ ,ME?OD = ! ,CRANM]
  ,ABACUS.' BY ,DEBRA ,SEWELL &
  ,JOHN ,ROSE
_4 ,ME?OD ( C.T+ IS COMP>ABLE TO
  ME?OD US$ ) "Y SI<T$ *N4
_4 ,ME?OD FOCUSES ON 8EX*ANGES0
  : IS SIMIL> TO             #AA
  8REGR\P+40
_4 ,/UD5TS C BUILD SPE$ ) ! C.T+
  ME?OD4

  ,,TSBVI HAS A S]IES ( VIDEOS
DEMON/RAT+ ! C.T+ ME?OD4
HTTP3_/_/WWW4TSBVI4$U_/DI/.E_/"
SEWELL.-ABACUS4HTML

    ,SLIDE #AG3
    ,! ,LOGIC OR ,"PN] ,ME?OD
_4 .7,USE ( ! ,CRANM] ,ABACUS.'
    BY ,RITA ,LIV+/ON
_4 ,FOCUS IS ON ! VALUE ( !
    B1DS4
_4 ,! LOGIC_/"PN] ME?OD3
  _4 ,DOES N P>ALLEL :AT IS
    TAU<T 9 ! G5]AL $UCA;N
    CLASSROOM
  _4 ,USES 8SYN!SIS0 OR 8"PN]S0
    ( NUMB]S
  _4 ,ALL[S /UD5TS TO DEVELOP
    %ORTCUTS ONCE !Y "U/& NUMB]
    3CEPTS4
                             #AB
    ,SLIDE #AH3
    ,PREP>+ ,/UD5TS TO ,USE !
    ,LOGIC OR ,"PN] ,ME?OD
_4 ,"K+ COMPLI;TS OR "PN]S T
    MAKE UP NUMB]S "? #AJ _%
  #0+7 .K #7
  #1+6 .K #7
  #2+5 .K #7
  #3+4 .K #7
  #4+3 .K #7
  #5+2 .K #7
  #6+1 .K #7
  #7+0 .K #7 _:

      @.<,PICTURE3 ,IMAGE ( A
    SCALE@.>

    ,SLIDE #AI3
    ,PAP] ,COMPATIBLE ,ME?OD
_4 .7,H&BOOK = ,IT9]ANT &
  ,RES\RCE ,T1*]S ( ,BL &
  ,VISUALLY ,IMPAIR$ ,/UD5TS.'
  BY ,DORIS ;,M4 ,WILL\<BY &
  ,%>ON ,DU6Y
                             #AC
_4 ,SIMIL> TO PAP] & P5CIL ME?OD
  OR ALGORI?M ME?OD US$ 9 !
  CLASSROOM4
_4 ,REQUIRES /UD5TS TO ALR H
  BASIC FACTS MEMORIZ$4
_4 ,? ME?OD IS N US$ Z (T5 Z !
  C.T+ OR LOGIC ME?OD4
_4 ,? ME?OD "WS WELL = /UD5TS :O
  >E /R;G ) M5TAL MA?4

    ,SLIDE #BJ3
    ,SKILLS ,*ECKLI/S
_4 .7,,EVALS - ,EVALUAT+
  ,VISUALLY ,IMPAIR$ ,/UD5TS.'
  COMPIL$ BY T1*]S AT ,,TSBVI

      @.<,PICTURE ON LEFT3 ,COV]
    ( ! BOOK 8,EVALS3 ,EVALUAT+
    ,VISUALLY ,IMPAIR$
    ,/UD5TS0@.>

_4 .7,ASSESS;T ,KIT3 ,KIT (
  ,9=MAL ,TOOLS = ,ACADEMIC
  /UD5TS ) ,VISUAL ,IMPAIR;TS1
  ,"P #A.'                   #AD
      @.<,PICTURE ON "R3 ,COV] (
    BOOK 8,ASSESS;T ,KIT0@.>

    ,SLIDE #BA3
    ,PR]EQUISITE = ,MULTIPLY &
    ,DIVID+ ,US+ ! ,CRANM]
    ,ABACUS
      ,! /UD5T M/ 2 ABLE TO
      DEMON/RATE3
_4 ,K ( ! MULTIPLICA;N TABLES
_4 ,! ABIL;Y TO SET & R1D NUMB]S

      ,= MULTIPLICA;N _% @* _:
_4 ,K ( T]MS US$ 9 MULTIPLICA;N
_4 ,K ( ! RULES ( ADDI;N

      ,= DIVI.N _% ./ _:
_4 ,K ( T]MS US$ 9 DIVI.N
_4 ,K ( ! RULES ( SUBTRAC;N

  ,SEE ,S>A ,L>K9'S PAGE =
VIDEOS ON H[ TO MULTIPLY &
DIVIDE US+ ! ,CRANM] ABACUS4

                             #AE
HTTPS3_/_/WWW4I[A-BRAILLE4K#AB4"
;IA4US_/VNEWS_/DISPLAY4V_/,,ART"
_/#EE;D#FA;DF#GA;B#G;A#D

    ,SLIDE #BB3
    ,C\PL>
_4 ,L9K TWO ,CRANM] ABACI TGR4
_4 ,US$ TO
  _4 ,"W ) L>G] NUMB]S
  _4 ,EXT5D ! NUMB] ( DECIMAL
    PLACES 9 : ! DIVI.N C 2
    C>RI$ \

      @.<,PICTURE AT TOP3 ,C\PL>
    ,PICTURE AT BOTTOM3 ,TWO
    ,CRANM] ABACI L9K$ TGR ) A
    C\PL>@.>

    ,SLIDE #BC3
    ,F ,2G9N+ TO ,5D3 ,:AT ,C ,2
    ,D"O ON ! ,ABACUS8
_4 ,C.T+
_4 ,ADDI;N1 ,SUBTRAC;N1
  ,MULTIPLICA;N1 ,DIVI.N
_4 ,DECIMALS & ,M"OY"9       #AF
_4 ,FRAC;NS & ,RATIOS"9
_4 ,P]C5T"9
_4 ,GRTE/ ,COMMON ,FACTOR
_4 ,SQU>E ,ROOTS T DON'T RESULT
  9 DECIMALS"9
_4 ,ADD+ & ,SUBTRACT+ ,9TEG]S
_4 ,PRIME ,FACTORIZA;N

"9.7,ABACUS ,MADE ,EASY.' &
  .7,USE ( ! ,CRANM] ,ABACUS.'

    ,SLIDE #BD3
    ,PRIME ,FACTORIZA;N
_4 ,PRIME ,FACTORIZA;N #A3
    9CLUDES SETT+ NUMB]S
  _4 HTTP3_/_/WWW4Y\TUBE4COM_/"
    WAT*8V"7,UI,,ZZ#AUR,,GP,'G#J
_4 ,PRIME ,FACTORIZA;N #B3
    9CLUDES SETT+ NUMB]S
  _4 HTTP3_/_/WWW4Y\TUBE4COM_/"
     WAT*8V"7,CDUYRV,UJ#A;E#D@&"
     FEATURE"7RELATED

      @.<,PICTURE3 ,FEMALE /UD5T
    US+ AN ABACUS@.>         #AG
    ,SLIDE #BE3
    ,,APH ,POSI;N ,PAP]3
    ,APP5DIX ;,D3 ,USE ( AN
    ABACUS 9 TE/-TAK+ SITUA;NS
  8,:5"E A TE/-TAK] IS ALL[$ TO
USE A P5CIL & PAP] = "W+
CALCULA;NS1 AN ABACUS %D 2
3SID]$ AN EQUIVAL5T SUB/ITU;N40
  HTTPS3_/_/SITES4APH4ORG_/"
A3ESSIBLE-TE/S_/POSI;N-PAP]S_/"
ABACUS-9-TE/-TAK+_/













                             #AH