,GRADES #B TO #E3 ,NEME? ,CODE ,SYMBOLS = ,FRAC;NS & ,SPATIAL ,PROBLEMS1 ,9/RUC;NAL ,TOOLS1 ,MAT]IALS1 & ,TE*NOLOGY ,LESSON #E3 ,9/RUC;NAL ,TOOLS & ,MAT]IALS ,PROJECT ,,9SPIRE ,UNIV]S;Y ( ,S\? ,C>OL9A ,UP/ATE1 ,SUMM] #BJBJ ,SLIDE #B3 ,LESSON #E ,OBJECTIVES ,"PICIPANTS W 2 ABLE TO3 _4 ,ID5TIFY MAT]IALS T C 2 US$ :5 T1*+ MA? COMPUTA;N & FRAC;N 3CEPTS TO /UD5TS 9 GRADES #B- #E4 _4 ,RECOGNIZE WAYS !Y C SUPPORT MA? 9/RUC;N = /UD5TS 9 GRADES #B-#E :O >E LE>N+ MA? COMPUTA;N & FRAC;N #A 3CEPTS4 ,SLIDE #C3 ,T1*+ ,ODD & ,EV5 ,NUMB]S _4 ,SECOND GRADE SKILL _4 ,EV5 ,- PAIRS ) N"O LEFT OV] _4 ,ODD ,- PAIRS ) "O LEFT OV] _4 ,9 _M CLASSROOMS1 /UD5TS WRITE EQUA;NS TO EXPRESS ^1EV5 ^1NUMB]S Z ! SUM ( #B EQUAL ADD5DS "4 _4 ,AVOID GRAPH PAP] & /ICK]S TO SAVE CO/S4 _4 ,USE3 _4 ,,APH #AJJS ,BO>D & ,MANIPULATIVES _4 ,,APH ,SCORE ,C>D @.<,PICTURE AT TOP3 ,HUNDR$S ,BO>D F ,AM]ICAN ,PR9T+ ,H\SE = ! ,BL "<,,APH"> ) #D BLUE SQU>ES ON ! F/ R[ 9 ! F/ #D COLUMNS & #C BLUE SQU>ES ON ! #B SECOND R[ 9 ! F/ #C COLUMNS4 ,PICTURE AT BOTTOM3 ,,APH SCORE C>D ) #D DOTS RAIS$ ON ! TOP R[ & #C DOTS RAIS$ ON ! BOTTOM R[1 BO? R[S ( DOTS 2G9N+ ON ! EXTREME LEFT4@.> ,SLIDE #D3 ,COMP>+ OR ,ADD+ #C-DIGIT ,NUMB]S ,COMP>E #CDF & #EJG _4 ,SECOND GRADE SKILL _4 ,SORT+ TRAY ) BASE T5 BLOCKS "<"O NUMB] AT ! TOP1 SECOND AT ! BOTTOM ( ! TRAY"> _4 ,BRLWRIT]3 _4 ,HUNDR$_/FLAT EQUALS FULL CELL _4 ,T5_/L;G_/ROD EQUALS DOTS #A-#B-#C _4 ,"O_/UNIT EQUALS DOT #C @.<,PICTURE AT TOP3 ,SORT+ TRAY DIVID$ 9TO #C SEC;NS TO COMP>E #CDF & #EJG4 #C ,TOP R[ %[S #C HUNDR$S FLATS ON ! LEFT1 #D T5S RODS 9 ! MIDDLE & #F UNIT BLOCKS ON ! "R4 ,BOTTOM R[ %[S #E HUNDR$S FLATS ON ! LEFT1 #J T5S RODS 9 ! MIDDLE1 & #G UNIT BLOCKS ON ! "R4 ,PICTURE AT BOTTOM3 _% #346 === LLLL '''''' #507 ===== ''''''' _:@.> ,SLIDE #E3 ,ADD+ OR ,SUBTRACT+ #C-DIGIT ,NUMB]S _4 ,SECOND GRADE SKILL ,ADD #BDG & #CBE @.<,PICTURE ON LEFT3 ,TABLE %[S _% #247 +300 _: 9 PR9T & BRL ON ! F/ L9E1 !N _% #547 +20 .: 9 PR9T & BRL ON ! SECOND L9E1 !N _% #567 +3 _: 9 PR9T & BRL ON ! ?IRD L9E1 !N #D _% #570 +2 _: 9 PR9T & BRL ON ! F\R? L9E1 & !N _% #572 _: 9 PR9T & BRL ON ! LA/ L9E4 ,PICTURE ON ! TOP "R3 ,A NUMB] L9E 9 PR9T />T+ AT #BDG ) A CURV$ L9E ABV 2G9N+ AT #BDG T %[S _% +300 _: ) ! CURV$ L9E 5D+ AT #EDG ON ! NUMB] L9E1 !N ANO!R CURV$ L9E 2G9N+ AT #EDG HAS _% +20 _: ABV & 5DS AT #EFG ON ! NUMB] L9E1 !N ANO!R CURV$ L9E ) _% +3 _: ON TOP 2G9N+ AT #EFG & 5D+ AT #EGJ ON ! NUMB] L9E1 & !N A F9AL CURV$ L9E ) _% +2 _: ABV 2G9N+ AT #EGJ & 5D+ AT #EGB ON ! NUMB] L9E4 #E ,PICTURE ON ! BOTTOM "R3 ,AN OP5 NUMB] L9E %[N 9 PR9T & BRL4 _% +300 +20 +3 +2 #247 #547 #567 #570 #572 _:@.> ,SLIDE #F3 ,FRAC;N ,SKILLS ,TAUDS CUT D[N TO REPRES5T DI6]5T FRAC;NS4 _4 #B BY #F ,- HALVES1 ?IRDS1 F\R?S1 & SIX?S _4 #B BY #E ,- HALVES & FIF?S @.<,PICTURE ON "R3 ,,APH ,SCORE ,C>D R$UC$ 9 SIZE - CUT TO #AB CELLS ) #F #F RAIS$ ,PICTURE AT BOTTOM3 ,,APH ,SCORE ,C>D R$UC$ 9 SIZE - CUT TO #AJ CELLS ) #F RAIS$@.> ,SLIDE #G3 ,4TRIBUTIVE ,PROP]TY _4 ,?IRD GRADE SKILL _4 ,USE >EA MODEL TO D _% #3(4+2) _: _4 ,US+ ! #AJJS BO>D & MANIPULATIVES /UD5T C SEE ! DI6]5T "PS ( ! PROBLEM " @.<,PICTURE3 ,"PIAL HUNDR$S *>T %[N TO REPRES5T ! 4TRIBUTIVE PROP]TY = _% #3(4+2) _:2 ?REE R[S %[ #D R$ CIRCLES FOLL[$ BY #B BLUE SQU>ES4@.> #G ,SLIDE #H3 ,MULTIPLICA;N _4 ,?IRD GRADE SKILL _4 ,/UD5TS >E 9TRODUC$ TO A W9D[ OR GRID MODEL _4 ,WAYS TO REPRES5T W9D[ OR GRID MODELS = BRL R1D]S T !Y C BRL ON3 _4 ,GRAPHICS >T TAPE ON BRL PAP] _4 ,PUNNETT ,SQU>ES " @.<,PICTURE AT ! TOP3 ,BLANK #D-W9D[ GRID %[N ,PICTURE AT ! BOTTOM3 ,! PROBLEM _% #38@*24 .K #912 _: IS FOLL[$ BY ! GRID ON ! FOLL[+ PAGE4 #H _% #30 #8 633333333363333333334 L L _ #20 L #600 L #160 _ L L _ R333333333R333333333W L L _ #4 L #120 L #32 _ L L _ H333333333H333333333J _:@.> ,SLIDE #I3 ,FRAC;N ,SKILLS _4 ,?IRD & ,F\R? ,GRADE ,3CEPTS _4 ,,APH ,MA? ,BUILD]S ,FRAC;N ,KIT _4 ,FRAC;N ,TILES & ,CIRCLES _4 ,H9T3 ,PUT ! BRL LABELS ON ! PIECES ^12F L1V+ ! MAT]IALS 9 ! G5]AL $UCA;N CLASSROOM6 #I _4 ,VISUAL ,FRAC;N ,MODELS _4 ,"PI;N+ FRAC;NS _4 ,COMP>+ & EQUIVAL5T FRAC;NS @.<,PICTURE AT TOP3 ,FRAC;N_/,DECIMAL ,B> ,TRAY F ! ,MA? ,BUILD]S ,FRAC;N ,KIT ) ! BLUE FRAC;N B> = #A 9S]T$ 9TO ! BOTTOM SEC;N4 ,IMMLY ABV ? SEC;N1 TWO YELL[ FRAC;N B>S = _% ?1/3# _: >E 9S]T$1 & ABV ? SEC;N ?REE R$ FRAC;N B>S = _% ?1/5# _: >E 9S]T$4 ,"! >E ,NEME?_/,L>GE ,PR9T LABELS = ALL FRAC;N PIECES4 ,PICTURE AT BOTTOM3 ,FRAC;N ,CIRCLE ,TRAY F ! ,MA? ,BUILD]S ,FRAC;N ,KIT ) #B CIRCLES ) ! SAME DIAMET]4 ,! F/ TACTILE CIRCLE HAS A BLUE SEMI-CIRCLE ) ! NUMB] _% ?1/2# _: ON X 9 PR9T & BRL 9S]T$ 9 ! BOTTOM HALF4 ,! SECOND CIRCLE HAS #AJ #B BLUE PIE-%AP$ FRAC;N PIECES EA* %[+ _% ?1/4# _: 9 PR9T & BRL 9S]T$ 9 ! BOTTOM HALF T TGR =M A SEMI- CIRCLE4@.> ,SLIDE #AJ3 ,US+ ! ,,APH ,NUMB] ,L9E ,DEVICE TO ,COMP>E ,FRAC;NS _4 ,US+ ! /RIPS & PEGS1 ! /UD5T C M>K DI6]5T VALUES4 _4 ,N ALL /RIPS >E EQUIVAL5T S 2 C>E;L4 ,= EXAMPLE1 FIF?S & ?IRDS DON'T H ! #A 9 ! SAME LOCA;N4 ,USE ! :OLE NUMB] /RIP ) #AE REPRES5T+ ! :OLE4 @.<,PICTURE ON LEFT3 ,,APH ,NUMB] ,L9E ,DEVICE - #B FRAC;N NUMB] L9ES >E %[N4 ,! TOP NUMB] L9E IS DIVID$ 9TO SIX?S ) _% ?1/6# _: M>K$ ) A PEG4 ,! BOTTOM NUMB] L9E IS DIVID$ 9TO ?IRDS ) _% ?1/3# _: M>K$ ) A #AA PEG4 ,PICTURE ON "R3 ,,APH ,NUMB] ,L9E ,DEVICE ,- #A NUMB] L9E IS %[N ) :OLE NUMB]S F #J TO #AE4 ,A PEG IS 9S]T$ "U ! #C1 #F1 #I1 #AB1 & #AE4 ,A PEG IS 9S]T$ ABV ! #E1 #AJ1 & #AE4@.> ,SLIDE #AA3 ,DIVI.N ) A ,REMA9D] _% #25./4 _: _4 ,F\R? GRADE SKILL _4 ,,APH #AJJS ,BO>D C 2 US$ TO HELP /UD5TS "U/& ! 3CEPT ( 8REMA9D]40 _4 ,BRLWRIT] C 2 US$ TO %[ GR\PS ( #D 9 EA* R[ UNTIL Y R1* #BE4 _4 ,KEY IS 8GR\PS ( #D0 N :E!R ! GR\PS ( #D >E 9 ! R[S OR COLUMNS4 #AB @.<,PICTURE ON LEFT3 ,A HUNDR$S BO>D ) #G R$ CIRCLES 9S]T$ 9 ! TOP R[1 & #F R$ CIRCLES 9S]T$ 9 EA* ( ! NEXT ?REE R[S DIRECTLY "U ! F/4 ,PICTURE ON "R3 _% #25./4 ==== ==== ==== ==== ==== ==== = _:@.> #AC ,SLIDE #AB3 ,COMP>+ ,DECIMALS ,IS _% #.453 _: GRT] OR LESS ?AN _% #.5 _:8 _4 ,F\R? GRADE SKILL - #B DECIMAL PLACES " _4 ,FIF? GRADE SKILL - #C DECIMAL PLACES " _4 ,/UD5TS LE>N TO ^1_1COMP>E DECIMALS4 _4 ,BASE #AJ BLOCKS OR A BRLWRIT] C 2 US$ TO REPRES5T DECIMALS4 _4 ,"S /UD5TS W F9D X EASI] TO USE ! BRLWRIT] S !Y DON'T H TO MOVE 2T MANIPULATIVES & BRLWRIT]4 @.<,PICTURE AT TOP3 ,SORT+ TRAY ) #B RAIS$ DIVID]S TO %[ #C COLUMNS4 ,! TOP R[ HAS #E HUNDR$S BLOCKS 9 ! F/ COLUMN REPRES5T+ _% #.500 _:4 ,! BOTTOM #AD R[ HAS #D HUNDR$S BLOCKS REPRES5T+ _% #.400 _:1 #E T5S RODS REPRES5T+ _% #.050 _:1 & #C CUBES REPRES5T+ _% #.003 _:4 ,PICTURE AT BOTTOM3 _% ===== ==== LLLLL ''' _:@.> ,SLIDE #AC3 ,COMP>+ ,DECIMALS1 ,ANO!R ,TOOL _4 ,! ,,APH ,MA? ,BUILD]S ,FRAC;N ,KIT HAS DECIMAL TILES T >E 9 9CRE;TS ( _% #0.1, #0.2, #0.25, ,'& #0.5 _:4 _4 ,"S TILES H "O DECIMAL PLACE & "S H TWO DECIMAL PLACES4 #AE _% #0.5 "K #0.8 #4@*0.2 .K #0.8 _: @.<,PICTURE3 ,FRAC;N_/ ,DECIMAL ,B> ,TRAY F ! ,MA? ,BUILD]S ,FRAC;N ,KIT ) ! BLUE DECIMAL B> = #A 9S]T$ 9TO ! BOTTOM SEC;N4 ,IMMLY ABV ? SEC;N1 "O BLUE DECIMAL B> = _% #.5 _: IS 9S]T$1 & ABV ? SEC;N F\R R$ DECIMAL B>S = _% #.2 _: >E 9S]T$4 ,"! >E ,NEME?_/ ,L>GE ,PR9T LABELS = ALL FRAC;N PIECES4@.> ,SLIDE #AD3 ,R.D+ ,DECIMALS _4 ,FIF? GRADE SKILL _4 ,! ,,APH ,NUMB] ,L9E ,DEVICE "WS WELL = T1*+ /UD5TS TO R.D DECIMALS4 _4 ,WIKKI ,/ICKS C 2 US$ TO M>K ON ! ,,APH ,NUMB] ,L9E ,DEVICE4 #AF @.<,PICTURE3 ,,APH ,NUMB] L9E DEVICE US+ A TACTILE DECIMAL NUMB] L9E />T+ AT #J & 9CR1S+ BY _% #.1 _: UP TO _% #1.3 _:4 ,A BLUE ,WIKKI ,/ICK IS US$ TO M>K A PO9T 2T _% #.6 ,'& #.7 _:1 B CLOS] TO _% #.6 _:4@.> ,SLIDE #AE3 ,DIVID+ A ,:OLE ,NUMB] ,BY A ,FRAC;N _4 ,GRADE #E 3CEPT _4 ,H ! /UD5T USE A TABLE TO EXAM9E H[ _M FIF?S >E 9 #D4 _4 ,H[ _M FIF?S 9 #A8 _4 ,H[ _M FIF?S 9 #B8 ETC4 _% #4./?1/5# _: @.<,PICTURE ON LEFT3 ,TABLE 9 PR9T ) FRAC;NS 9 ! F/ COLUMN & NUMB]S 9 ! SECOND COLUMN4 #AG PICTURE ON "R3 ,TABLE 9 ,NEME? ,CODE ) FRAC;NS _% #4./?1/5# ?5/5# #1 ?10/5# #2 ?15/5# #3 ?20/5# #4 _:@.> ,SLIDE #AF3 ,ADD+ ,FRAC;NS ) ,UNLIKE ,D5OM9ATORS _4 ,/UD5TS H OP;NS _4 ,BRLWRIT] _4 ,ABACUS _4 ,MA? ,W9D[ _4 ,MA? ,W9D[ CAU;NS3 _4 ,T1*]S & P>APR(ES.NALS M/ USE ! CORRECT SYMBOLS "4 _4 ,EXPECT+ A /UD5T TO SET UP & %[ "W = A COMPLEX PROBLEM IS "T 3SUM+6 #AH _4 ,PAY ATT5;N TO TILE LABELS6 _4 ,9DICATORS >E DI6]5T = EA* TYPE ( FRAC;N4 _4 ,SETS H A LIMIT$ NUMB] ( TILES4 ,SLIDE #AG3 ,US+ A ,MA? ,W9D[ TO ,ADD ,FRAC;NS ) ,UNLIKE ,D5OM9ATORS _% ?1/3#+?3/4# _: @.<,PICTURE #A3 ,"O-?IRD PLUS ?REE-F\R?S 9 PR9T & BRL %[N US+ ,MA? ,W9D[ TILES4@.> _% ?4/12#+?9/12# _: @.<,PICTURE #B3 ,F\R- TWELF?S PLUS N9E-TWELF?S 9 PR9T & BRL %[N US+ ,MA? ,W9D[ TILES4@.> _% ?13/12# _: @.<,PICTURE #C3 ,?IRTE5- TWELF?S 9 PR9T & BRL %[N US+ ,MA? ,W9D[ TILES4@.> _% #1_?1/12_# _: @.<,PICTURE #D3 ,"O #AI & "O-TWELF? 9 PR9T & BRL %[N US+ ,MA? ,W9D[ TILES4@.> #BJ