,GRADES #B TO #E3 ,NEME? ,CODE ,SYMBOLS = ,FRAC;NS & ,SPATIAL ,PROBLEMS1 ,9/RUC;NAL ,TOOLS1 ,MAT]IALS1 & ,TE*NOLOGY ,LESSON #D3 ,=MATT+ ,SPATIAL ,MAT]IALS & ,NUMB] ,L9ES = ,/UD5TS 9 ,GRADES #B-#E ,,PROJECT ,,9SPIRE ,UNIV]S;Y ( ,S\? ,C>OL9A ,UP/ATE1 ,FALL #BJBJ ,SLIDE #B ,LESSON #4 ,OBJECTIVES ,"PICIPANTS W 2 ABLE TO3 #A4 ,LOCATE & USE =MATT+ RES\RCES #B4 ,=MAT ! FOLL[+3 _4 ,DIREC;NS _4 ,TRANSCRIB],0S NOTES _4 ,EXAMPLE PROBLEMS #A _4 ,NUMB]$ SPATIAL PROBLEMS _4 ,NUMB] L9ES ,SLIDE #C ,,BANA ,T]M9OLOGY _4 ,C5T]$ H1D+3 ,T]M US$ = TITLES _4 ,EX]CISE3 ,T]M US$ = A SET ( MA? PROBLEMS _4 ,9/RUC;NS3 ,T]M US$ = DIREC;NS _4 ,RUNOV]3 ,T]M US$ = SECOND OR SUBSEQU5T L9ES ( A PROBLEM OR A P>AGRAPH _4 ,TRANSCRIB]'S NOTE3 ,T]M US$ = ANY?+ N %[N 9 PR9T T IS 9CLUD$ 9 ! BRL #B ,SLIDE #D .7,GUID.E = ,TRANSCRIP;N ,US+ ! ,NEME? ,CODE )9 ,,UEB ,3TEXTS.' @.<,PR9T IMAGE3 ,F/ PAGE ( ! .7,GUID.E = ,TRANSCRIP;N ,US+ ! ,NEME? ,CODE )9 ,,UEB ,3TEXTS.'@.> _4 ,AVAILABLE F ! ,BRL ,AU?OR;Y ( ,NOR? ,AM]ICA "<,,BANA"> _4 ,9=MA;N AB SPATIAL PROBLEMS IS ON PAGE #AJ4 ,9=MA;N AB NUMB] L9ES IS ON PAGE #AD4 HTTP3_/_/WWW4BRAILLEAU?OR;Y4 ORG_/MA?SCI;E_/MA?-SCI;E4HTML #C ,SLIDE #E .7,BRL ,=MATS3 ,PR9CIPLES ( ,PR9T-TO-,BRL ,TRANSCRIP;N1 #BJAF.' @.<,PR9T IMAGE3 ,F/ PAGE ( .7,BRL ,=MATS3 ,PR9CIPLES ( ,PR9T-TO-,BRL ,TRANSCRIP;N1 #BJAF.'@.> _4 ,(T5 REF]R$ TO Z 8,BRL ,=MATS04 _4 ,AVAILABLE F ! ,BRL ,AU?OR;Y ( ,NOR? ,AM]ICA "<,,BANA"> _4 ,SEC;N #C PROVIDES EXAMPLES ( TRANSCRIB]'S NOTES4 HTTP3_/_/BRAILLEAU?OR;Y4ORG_/ =MATS_/=MATS#BJAF4;HTML #D ,SLIDE #F ,RES\RCE TO ,USE ,:5 ,TRANSCRIB+ ,MA? ,MAT]IALS .7,AN ,9TRODUC;N TO ,BRL ,MA!MATICS ,US+ ,NEME? ,CODE )9 ,,UEB ,3TEXTS.' _4 ,AVAILABLE F ! ,NA;NAL ,F$]A;N ( ! ,BL _4 ,LESSON #AJ 9CLUDES EXAMPLES ( SPATIAL >RANGE;TS = ADDI;N & SUBTRAC;N4 _4 ,LESSONS #AB-#AC 9CLUDE EXAMPLES ( SPATIAL >RANGE;TS = MULTIPLICA;N & DIVI.N4 HTTPS3_/_/WWW4NFB4ORG_/ PROGRAMS-S]VICES_/BRAILLE- C]TIFICA;N_/MA!MATICS-BRL- TRANSCRIB+ #E ,SLIDE #G .7,GUIDEL9ES & ,/&>DS = ,TACTILE ,GRAPHICS1 #BJAJ.' @.<,PR9T IMAGE3 ,F/ PAGE ( .7,GUIDEL9ES & ,/&>DS = ,TACTILE ,GRAPHICS1 #BJAJ.'@.> _4 ,UNITS #E & #F (F] 9=MA;N AB H[ TO CR1TE TACTILE GRAPHICS Z WELL Z S"EAL EXAMPLE NUMB] L9ES 9 PR9T & ,SIM,BRL4 _4 ,! SUPPLE;T AL PROVIDES EXAMPLES 9 BRL1 9CLUD+ A NUMB] L9E CR1T$ Z A TACTILE GRAPHIC = A "Y] /UD5T4 HTTP3_/_/WWW4BRAILL1U?OR;Y4ORG _/TG_/9DEX4HTML #F ,SLIDE #H ,=MATT+ ,BASICS = ,/UD5TS 9 ,GRADES #B-#E _4 ,MAT]IALS >E S+LE-SPAC$4 _4 ,,BANA REF]S TO TITLES Z 8C5T]$ H1D+S40 _4 ,C5T] ! TITLE ( A "W%EET ON ! F/ L9E ( ! PAGE1 & L1VE A BLANK L9E FOLL[+ X4 _4 ,FOLL[ PR9T = ! SEQU;E ( PROBLEMS1 PUNCTUA;N1 & CAPITALIZA;N4 _4 ,D N *ANGE ! ^W+ ( DIREC;NS OR PROBLEMS4 #G ,SLIDE #I ,EXAMPLE ( A ,SET ( ,SPATIAL ,PROBLEMS 9 ,PR9T @.<,TWO >R[S LABEL$ 8,DIREC;NS0 & 8,NUMB]$ ,PROBLEMS0 PO9T TO ! "W%EET4 8,ADD OR SUBTRACT40 >E ! DIREC;NS ON ! PR9T "W%EET4 ,"QS #CE TO #CH >E ADDI;N & SUBTRAC;N PROBLEMS %[N Z SPATIAL >RANGE;TS4 #CE4 ,?IRTY-TWO PLUS TW5TY4 #CF4 ,N9ETY-F\R M9US SEV54 #CG4 ,F\R HUNDR$ ?REE M9US TWO HUNDR$ =TY-SIX4 #CH4 ,ELEV5 M9US EI ,SLIDE #AJ ,DIREC;NS ,FOLL[$ BY ,NUMB]$ ,PROBLEMS @.<,! FOLL[+ IS %[N Z A ,SIM,BRL IMAGE1 FOLL[$ BY ! BULLET PO9TS DESCRIB+ ! =MAT4 @.> #H ,ADD OR SUBTRACT4 _% #35_4 32 #36_4 94 +20 - 7 33333 33333 #37_4 403 #38_4 11 -246 - 8 333333 33333 _: _4 ,2G9 DIREC;NS 9 CELL #E4 _4 ,! OP5+ ,NEME? ,CODE 9DICATOR IS PLAC$ ON ! SAME L9E Z ! DIREC;NS4 _4 ,PR9T IS FOLL[$ = ! PROBLEMS4 _4 ,PROBLEMS 2G9 9 CELL #A4 _4 ,"! IS A BLANK L9E ABV & 2L EA* PROBLEM & #A OR #B CELLS ON EI SIDE ( ! SEP>A;N L9E4 _4 ,! ,NEME? ,CODE T]M9ATOR IS ON A L9E BY XF4 #I ,SLIDE #AA ,ANATOMY ( A ,"W%EET ) ,AN ,EXAMPLE ,PROBLEM @.<,F\R >R[S LABEL$ 8,BOLD$ ,TITLE01 8,DIREC;NS01 8,EXAMPLE ,PROBLEM0 & 8,NUMB]$ ,PROBLEMS0 PO9T TO ! "W%EET4 ,! TITLE IS 8,FUN ) ,FRAC;NS04 ,! DIREC;NS SAY1 8,%[ YR "W & WAT* ! SIGNS C>E;LLY60 ,! EXAMPLE GIV5 IS3 TWO-QU>T]S PLUS "O-QU>T] EQUALS ! QUANT;Y TWO PLUS "O OV] F\R EQUALS ?REE-QU>T]S4 ,? IS FOLL[$ BY ?REE NUMB]$ PROBLEMS4 ,!Y >E %[N ON ! NEXT SLIDE4@.> #AJ ,SLIDE #AB ,"W%EET ) AN ,EXAMPLE ,PROBLEM ,FUN ) ,FRAC;NS ,%[ YR "W & WAT* ! SIGNS C>E;LLY6 ,EXAMPLE3 _% ?2/4#+?1/4# .K ?2+1/4# .K ?3/4# #1_4 ?5/8#+?1/8# .K = #2_4 ?33/100#-?11/100# .K = #3_4 ?6/7#-?2/7# .K = _: _4 ,L1VE A BLANK L9E ABV & 2L ! EXAMPLE4 _4 ,:5 A COLON FOLL[S ! ^W 8EXAMPLE0 D N BOLD1 "UL9E1 OR ITALICIZE X4 _4 ,=MAT ! EX]CISE EXAMPLE L O!R PROBLEMS4 _4 ,IF Y NE$ TO DIVIDE A PROBLEM1 D S AT ! SIGN ( #AA COMP>ISON4 ,SLIDE #AC ,TRANSCRIB]'S ,NOTES @.< ,OP5+ TRANSCRIB]'S NOTE 9DICATOR @.> ,CLOS+ TRANSCRIB]'S NOTE 9DICATOR _4 ,TRANSCRIB]'S NOTES >E US$ TO PROVIDE BRL R1D]S ) 9=MA;N S* Z :5 DI6]5T DIREC;NS >E NE$$ OR A DI6]5T =MAT HAS BE5 US$4 _4 ,2 BRIEF & USE AGE-APPROPRIATE LANGUAGE4 _4 ,2G9 ! TRANSCRIB]'S NOTE 9 CELL #G ) RUNOV]S 2G9N+ 9 CELL #E4 #AB ,SLIDE #AD ,SAME ,"W%EET ) A ,TRANSCRIB]'S ,NOTE ,A TRANSCRIB]'S NOTE HAS BE5 ADD$ AF ! DIREC;NS4 ,X 9/RUCTS ! /UD5T TO WRITE _! ANSW]S ON ANO!R PIECE ( PAP]4 ,FUN ) ,FRAC;NS ,%[ YR "W & WAT* ! SIGNS C>E;LLY6 @.<,WRITE YR ANSW] ON ANO!R PIECE ( PAP]4@.> ,EXAMPLE3 _% ?2/4#+?1/4# .K ?2+1/4# .K ?3/4# #1_4 ?5/8#+?1/8# .K = #2_4 ?33/100#-?11/100# .K = #3_4 ?6/7#-?2/7# .K = _: #AC ,SLIDE #AE ,ACTIV;Y #D,A ,DECIDE IF EA* /ATE;T IS TRUE OR FALSE4 #A4 ,MO/ MAT]IALS = /UD5TS 9 SECOND GRADE >E S+LE-SPAC$4 #B4 ,:5 BRAILL+ SPATIAL PROBLEMS1 AN OP5+ ,NEME? ,CODE 9DICATOR & ,NEME? ,CODE T]M9ATOR >E N NE$$4 #C4 ,DIREC;NS 2G9 9 CELL #E ) RUNOV]S 9 CELL #C :5 FOLL[$ BY NUMB]$ SPATIAL OR L9E> PROBLEMS4 #D4 ,DIVIDE EXAMPLE PROBLEMS T W N FIT ON A S+LE L9E 2F A SIGN ( COMP>ISON4 #E4 ,OMIT ! ^W 8EXAMPLE0 = EXAMPLE PROBLEMS ON "W%EETS 9 ,NEME? ,CODE4 #F4 ,TRANSCRIB]'S NOTES >E ONLY US$ :5 DIREC;NS H BE5 *ANG$4 #AD ,SLIDE #AF ,ACTIV;Y #D,A3 ,ANSW] ,KEY #A4 ,TRUE ,- ,MO/ MAT]IALS = /UD5TS 9 SECOND GRADE >E S+LE-SPAC$4 #B4 ,FALSE ,- ,AN OP5+ ,NEME? ,CODE 9DICATOR & ,NEME? ,CODE T]M9ATOR >E NE$$ :5 TRANSCRIB+ SPATIAL PROBLEMS4 #C4 ,TRUE ,- ,DIREC;NS 2G9 9 CELL #E ) RUNOV]S 9 CELL #C :5 FOLL[$ BY NUMB]$ SPATIAL OR L9E> PROBLEMS4 #D4 ,TRUE ,- ,DIVIDE EXAMPLE PROBLEMS T W N FIT ON A S+LE L9E 2F A SIGN ( COMP>ISON4 ,SLIDE #AG ,ACTIV;Y #D,A3 ,ANSW] ,KEY "<3T9U$"> #E4 ,FALSE ,- ,! ^W 8EXAMPLE0 = EXAMPLE PROBLEMS IS 9CLUD$ ON "W%EETS 9 ,NEME? ,CODE4 #F4 ,FALSE ,- #AE ,TRANSCRIB]'S NOTES >E US$ = A V>IETY ( R1SONS1 9CLUD+ :5 ! =MAT &_/OR DIREC;NS H BE5 *ANG$4 ,!Y C AL 2 US$ TO DEF9E SYMBOLS R>ELY US$ & PROVIDE P]T95T 9=MA;N AB PICTURES4 ,SLIDE #AH ,NUMB] ,L9ES = ,"Y ,/UD5TS _4 ,NUMB] L9ES >E CR1T$ Z A TACTILE GRAPHIC "? ?IRD GRADE4 _4 ,ONLY LABELS %D 2 BRLD4 @.<,PICTURE3 ,PR9T IMAGE ( A NUMB] L9E GRAPH ) >R[H1DS AT EA* 5D1 SCALE " M>KS F #J TO #BJ1 ) LABELS AT #J1 #E1 #AJ1 #AE1 & #BJ1 & SPECIFIC PLOTT$ PO9TS 9DICAT$ Z ,A1 ;,B1 ;,C1 ;,D1 ;,E1 & ;,F4 ,PHOTOGRAPH3 ,A COMPLET$ TACTILE GRAPHIC ( ! NUMB] L9E US+ ! COLLAGE #AF ME?OD TO CR1TE ! L9E & BRL US$ ONLY = ! LABELS4@.> ,SLIDE #AI ,NUMB] ,L9ES = ,/UD5TS 9 ,GRADES #D & ,UP _4 ,NUMB] L9ES MAY 2 PREP>$ US+ BRL SYMBOLS4 _4 ,X IS IMPORTANT TO 9CLUDE A SPECIAL SYMBOLS PAGE OR A TRANSCRIB]'S NOTE :5 /UD5TS >E LE>N+ ! BRL SYMBOLS = NUMB] L9ES4 _4 ,NUMB] L9ES >E TRANSCRIB$ 9 ,NEME? ,CODE4 @.<,PICTURE3 ,PR9T IMAGE ( A NUMB] L9E F "O HUNDR$ TO "O HUNDR$ =TY1 ) >R[H1DS AT EA* 5D4 ,SCALE " M>KS >E %[N AT 9T]VALS ( FIVE & LABEL$ AT 9T]VALS ( T54@.> #AG ,SLIDE #BJ ,COMMONLY ,US$ ,NUMB] ,L9E ,SYMBOLS _% [ _: ,LEFT-PO9T+ >R[H1D _% 3 _: ,L9E " _% R _: ,SCALE " M>K _% O _: ,"R-PO9T+ >R[H1D ,SLIDE #BA ,BASIC ,RULES = ,CR1T+ ,NUMB] ,L9ES _4 ,! UNITS ON ! NUMB] L9E M/ 2 EQUALLY SPAC$4 _4 ,SCALE " M>KS >E LABEL$ 2L ! NUMB] L9E4 _4 ,USE ,NEME? ,CODE NUMB]S )\T NUM]IC 9DICATORS ON A NUMB] L9E4 _4 ,! TICK M>K & ! F/ DIGIT ( XS NUM]IC LABEL %D 2 ALIGN$1 EV5 IF PREC$$ BY A PLUS OR A M9US SIGN4 #AH ,SLIDE #BB ,NUMB] ,L9E ,PRODUC$ 9 ,BRL _% [33R33R33R33R33R33R33R33R33R33O 100 110 120 130 140 _: ,SLIDE #BC ,EXAMPLE ( A ,NUMB] ,L9E ,"W%EET 9 ,PR9T _4 ,A NUMB] L9E IS PREC$$ & FOLL[$ BY A BLANK L9E4 _4 ,USE ,NEME? ,CODE SWIT* 9DICATORS4 @.<,PICTURE3 ,PR9T IMAGE ( A "W%EET4 ,! H1D+ IS3 ,NUMB] ,L9E ,SUBTRAC;N4 ,! DIREC;NS SAY3 ,USE ! NUMB] L9E TO COMPLETE ! SUBTRAC;N PROBLEMS4 ,A NUMB] L9E IS %[N ) >R[H1DS AT EA* #AI 5D1 & SCALE " M>KS & LABELS >E %[N F T5 TO TW5TY1 AT 9T]VALS ( "O4 ,?REE SUBTRAC;N PROBLEMS FOLL[1 WRITT5 9 SPATIAL =M & >RANG$ SIDE BY SIDE4 #A4 N9ETE5 M9US FIVE2 #B4 SIXTE5 M9US F\R2 #C4 TW5TY M9US N9E4@.> #BJ ,SLIDE #BD ,EXAMPLE ( A ,NUMB] ,L9E ,"W%EET 9 ,BRL ,NUMB] ,L9E ,SUBTRAC;N ,USE ! NUMB] L9E TO COMPLETE ! SUBTRAC;N PROBLEMS4 _% [33R33R33R33R33R33R33R33R33R33 10 11 12 13 14 15 16 17 18 R33R33O 19 20 #1_4 19 #2_4 16 - 5 - 4 33333 33333 #3_4 20 - 9 33333 _: #BA ,SLIDE #BE ,NUMB] ,L9ES ) ,SOLID "<,FILL$ 9"> ,CIRCLES @.<,PICTURE3 ,PR9T IMAGE ( A NUMB] L9E ) SCALE M>KS AT M9US "O-HALF1 Z]O1 "O-HALF1 & "O4 ,PLOTT$ PO9TS >E %[N = M9US "O-HALF & "O-HALF4 _% = _: ,SOLID " CIRCLE _% = = [33R3333333R3333333R3333333R33O -?1/2# 0 ?1/2# 1 _: #BB @.<,PICTURE3 ,PR9T IMAGE ( A NUMB] L9E ) SCALE M>KS AT Z]O1 Z]O PO9T FIVE1 "O1 "O PO9T FIVE1 TWO1 & TWO PO9T FIVE4 ,PLOTT$ PO9TS >E %[N = Z]O PO9T FIVE1 "O PO9T FIVE1 & TWO PO9T FIVE4@.> _% = = = [33R3333R3333R3333R3333R3333R33O 0 0.5 1 1.5 2 2.5 _: #BC ,SLIDE #BF ,ACTIV;Y #D,B ,9T]L9E ! "W%EET4 ,FUN ) ,NUMB] ,L9ES #A4 ,:AT IS ! VALUE ( ! PR9T ON EA* NUMB] L9E8 _% = [3333R3333R3333R3333R3333R3333O 60 62 64 66 68 _: #BD ,SLIDE #BG ,ACTIV;Y #D,B ,ANSW] ,KEY @.<,PICTURE3 ,PR9T IMAGE ( A NUMB] L9E4 ,! H1D+ IS3 ,FUN ) ,NUMB] ,L9ES4 ,"Q #A4 ASKS3 ,:AT IS ! VALUE ( ! PO9T ON EA* NUMB] L9E8 ,X IS FOLL[$ BY A NUMB] L9E ) SCALE M>KS AT SIXTY1 SIXTY-TWO1 SIXTY-F\R1 SIXTY-SIX1 & SIXTY-EI #BE ,SLIDE #BH ,ACTIV;Y #D,C ,TRANSCRIBE ? "W%EET 9 BRL4 @.<,PICTURE3 ,PR9T IMAGE ( A "W%EET4 ,! H1D+ IS3 ,TRUE OR ,FALSE4 ,! DIREC;NS SAY3 ,DECIDE IF EA* ANSW] IS TRUE OR N4 ,IF X IS FALSE1 WRITE ! CORRECT ANSW]4 ,AN EXAMPLE IS GIV5 ( A SPATIAL MULTIPLICA;N PROBLEM4 ,EXAMPLE3 TWO PO9T SEV5 "TS ?REE1 ) ! PRODUCT ( EIRANG$ SIDE BY SIDE4 #A4 ,?IRTY-FIVE PO9T EI #BF ,SLIDE #BI ,ACTIV;Y #D,C3 ,ANSW] ,KEY ,TRUE OR ,FALSE ,DECIDE IF EA* ANSW] IS TRUE OR N4 ,IF X IS FALSE1 WRITE ! CORRECT ANSW]4 ,EXAMPLE3 _% 2.7 @*3 33333 81 _: ,FALSE ,- ,! ANSW] IS _% #8.1 #BG ,SLIDE #CJ ,ACTIV;Y #D,C3 ,ANSW] ,KEY "<3T9U$"> #1_4 35.8 #2_4 60.25 @*6 @*9 3333333 33333333 215.8 542.25 _: #BH