Mathematics Florida Standards 5th Grade

0$)6*
0$)6*
0$)6*
'UDZSRLQWVOLQHVOLQHVHJPHQWVUD\VDQJOHVULJKWDFXWHREWXVHDQGSHUSHQGLFXODU
DQGSDUDOOHOOLQHV,GHQWLI\WKHVHLQWZRGLPHQVLRQDOILJXUHV
&RJQLWLYH&RPSOH[LW\/HYHO5HFDOO
&ODVVLI\WZRGLPHQVLRQDOILJXUHVEDVHGRQWKHSUHVHQFHRUDEVHQFHRISDUDOOHORU
SHUSHQGLFXODUOLQHVRUWKHSUHVHQFHRUDEVHQFHRIDQJOHVRIDVSHFLILHGVL]H5HFRJQL]H
ULJKWWULDQJOHVDVDFDWHJRU\DQGLGHQWLI\ULJKWWULDQJOHV
&RJQLWLYH&RPSOH[LW\/HYHO%DVLF$SSOLFDWLRQRI6NLOOV&RQFHSWV
5HFRJQL]HDOLQHRIV\PPHWU\IRUDWZRGLPHQVLRQDOILJXUHDVDOLQHDFURVVWKHILJXUH
VXFKWKDWWKHILJXUHFDQEHIROGHGDORQJWKHOLQHLQWRPDWFKLQJSDUWV,GHQWLI\OLQH
V\PPHWULFILJXUHVDQGGUDZOLQHVRIV\PPHWU\
&RJQLWLYH&RPSOH[LW\/HYHO%DVLF$SSOLFDWLRQRI6NLOOV&RQFHSWV
*5$'(
'RPDLQ23(5$7,216$1'$/*(%5$,&7+,1.,1*
&OXVWHU:ULWHDQGLQWHUSUHWQXPHULFDOH[SUHVVLRQV
$GGLWLRQDO&OXVWHU
'RQ¶W«6RUWFOXVWHUVIURP0DMRUWR6XSSRUWLQJDQGWKHQWHDFKWKHPLQWKDWRUGHU7RGRVR
ZRXOGVWULSWKHFRKHUHQFHRIWKHPDWKHPDWLFDOLGHDVDQGPLVVWKHRSSRUWXQLW\WRHQKDQFHWKH
PDMRUZRUNRIWKHJUDGHZLWKWKHVXSSRUWLQJFOXVWHUV
67$1'$5'&2'(
0$)62$
0$)62$
67$1'$5'
8VHSDUHQWKHVHVEUDFNHWVRUEUDFHVLQQXPHULFDOH[SUHVVLRQVDQGHYDOXDWH
H[SUHVVLRQVZLWKWKHVHV\PEROV
&RJQLWLYH&RPSOH[LW\/HYHO5HFDOO
:ULWHVLPSOHH[SUHVVLRQVWKDWUHFRUGFDOFXODWLRQVZLWKQXPEHUVDQGLQWHUSUHWQXPHULFDO
H[SUHVVLRQVZLWKRXWHYDOXDWLQJWKHP)RUH[DPSOHH[SUHVVWKHFDOFXODWLRQ³DGGDQG
WKHQPXOWLSO\E\´DVî5HFRJQL]HWKDWîLVWKUHHWLPHVDV
ODUJHDVZLWKRXWKDYLQJWRFDOFXODWHWKHLQGLFDWHGVXPRUSURGXFW
&RJQLWLYH&RPSOH[LW\/HYHO5HFDOO
&OXVWHU$QDO\]HSDWWHUQVDQGUHODWLRQVKLSV
$GGLWLRQDO&OXVWHU
'RQ¶W«6RUWFOXVWHUVIURP0DMRUWR6XSSRUWLQJDQGWKHQWHDFKWKHPLQWKDWRUGHU7RGRVR
ZRXOGVWULSWKHFRKHUHQFHRIWKHPDWKHPDWLFDOLGHDVDQGPLVVWKHRSSRUWXQLW\WRHQKDQFHWKH
PDMRUZRUNRIWKHJUDGHZLWKWKHVXSSRUWLQJFOXVWHUV
67$1'$5'&2'(
0$)62$
67$1'$5'
*HQHUDWHWZRQXPHULFDOSDWWHUQVXVLQJWZRJLYHQUXOHV,GHQWLI\DSSDUHQWUHODWLRQVKLSV
EHWZHHQFRUUHVSRQGLQJWHUPV)RUPRUGHUHGSDLUVFRQVLVWLQJRIFRUUHVSRQGLQJWHUPV
IURPWKHWZRSDWWHUQVDQGJUDSKWKHRUGHUHGSDLUVRQDFRRUGLQDWHSODQH)RUH[DPSOH
JLYHQWKHUXOH³$GG´DQGWKHVWDUWLQJQXPEHUDQGJLYHQWKHUXOH³$GG´DQGWKH
VWDUWLQJQXPEHUJHQHUDWHWHUPVLQWKHUHVXOWLQJVHTXHQFHVDQGREVHUYHWKDWWKH
WHUPVLQRQHVHTXHQFHDUHWZLFHWKHFRUUHVSRQGLQJWHUPVLQWKHRWKHUVHTXHQFH
([SODLQLQIRUPDOO\ZK\WKLVLVVR
&RJQLWLYH&RPSOH[LW\/HYHO%DVLF$SSOLFDWLRQRI6NLOOV&RQFHSWV
Mathematics Common Core (MACC) is now Mathematics Florida Standards (MAFS)
Next Generation Sunshine State Standards (NGSSS) for Mathematics (MA) is now Mathematics Florida Standards (MAFS)
Amended Standard
New Standard
Deleted Standard
'RPDLQ180%(5$1'23(5$7,216,1%$6(7(1
&OXVWHU8QGHUVWDQGWKHSODFHYDOXHV\VWHP
0DMRU&OXVWHU
'RQ¶W«6RUWFOXVWHUVIURP0DMRUWR6XSSRUWLQJDQGWKHQWHDFKWKHPLQWKDWRUGHU7RGRVR
ZRXOGVWULSWKHFRKHUHQFHRIWKHPDWKHPDWLFDOLGHDVDQGPLVVWKHRSSRUWXQLW\WRHQKDQFHWKH
PDMRUZRUNRIWKHJUDGHZLWKWKHVXSSRUWLQJFOXVWHUV
67$1'$5'&2'(
0$)61%7
0$)61%7
0$)61%7
67$1'$5'
5HFRJQL]HWKDWLQDPXOWLGLJLWQXPEHUDGLJLWLQRQHSODFHUHSUHVHQWVWLPHVDVPXFK
DVLWUHSUHVHQWVLQWKHSODFHWRLWVULJKWDQGRIZKDWLWUHSUHVHQWVLQWKHSODFHWRLWV
OHIW
&RJQLWLYH&RPSOH[LW\/HYHO5HFDOO
([SODLQSDWWHUQVLQWKHQXPEHURI]HURVRIWKHSURGXFWZKHQPXOWLSO\LQJDQXPEHUE\
SRZHUVRIDQGH[SODLQSDWWHUQVLQWKHSODFHPHQWRIWKHGHFLPDOSRLQWZKHQD
GHFLPDOLVPXOWLSOLHGRUGLYLGHGE\DSRZHURI8VHZKROHQXPEHUH[SRQHQWVWR
GHQRWHSRZHUVRI
&RJQLWLYH&RPSOH[LW\/HYHO%DVLF$SSOLFDWLRQRI6NLOOV&RQFHSWV
5HDGZULWHDQGFRPSDUHGHFLPDOVWRWKRXVDQGWKV
D 5HDGDQGZULWHGHFLPDOVWRWKRXVDQGWKVXVLQJEDVHWHQQXPHUDOVQXPEHU
QDPHVDQGH[SDQGHGIRUPHJ îîîî
îî
E &RPSDUHWZRGHFLPDOVWRWKRXVDQGWKVEDVHGRQPHDQLQJVRIWKHGLJLWVLQHDFK
SODFHXVLQJ! DQGV\PEROVWRUHFRUGWKHUHVXOWVRIFRPSDULVRQV
0$)61%7
&RJQLWLYH&RPSOH[LW\/HYHO%DVLF$SSOLFDWLRQRI6NLOOV&RQFHSWV
8VHSODFHYDOXHXQGHUVWDQGLQJWRURXQGGHFLPDOVWRDQ\SODFH
&RJQLWLYH&RPSOH[LW\/HYHO5HFDOO
&OXVWHU3HUIRUPRSHUDWLRQVZLWKPXOWLGLJLWZKROHQXPEHUVDQGZLWKGHFLPDOVWRKXQGUHGWKV
0DMRU&OXVWHU
'RQ¶W«6RUWFOXVWHUVIURP0DMRUWR6XSSRUWLQJDQGWKHQWHDFKWKHPLQWKDWRUGHU7RGRVR
ZRXOGVWULSWKHFRKHUHQFHRIWKHPDWKHPDWLFDOLGHDVDQGPLVVWKHRSSRUWXQLW\WRHQKDQFHWKH
PDMRUZRUNRIWKHJUDGHZLWKWKHVXSSRUWLQJFOXVWHUV
67$1'$5'&2'(
0$)61%7
0$)61%7
67$1'$5'
)OXHQWO\PXOWLSO\PXOWLGLJLWZKROHQXPEHUVXVLQJWKHVWDQGDUGDOJRULWKP
&RJQLWLYH&RPSOH[LW\/HYHO5HFDOO
)LQGZKROHQXPEHUTXRWLHQWVRIZKROHQXPEHUVZLWKXSWRIRXUGLJLWGLYLGHQGVDQGWZR
GLJLWGLYLVRUVXVLQJVWUDWHJLHVEDVHGRQSODFHYDOXHWKHSURSHUWLHVRIRSHUDWLRQVDQGRU
WKHUHODWLRQVKLSEHWZHHQPXOWLSOLFDWLRQDQGGLYLVLRQ,OOXVWUDWHDQGH[SODLQWKHFDOFXODWLRQ
E\XVLQJHTXDWLRQVUHFWDQJXODUDUUD\VDQGRUDUHDPRGHOV
Mathematics Common Core (MACC) is now Mathematics Florida Standards (MAFS)
Next Generation Sunshine State Standards (NGSSS) for Mathematics (MA) is now Mathematics Florida Standards (MAFS)
Amended Standard
New Standard
Deleted Standard
0$)61%7
&RJQLWLYH&RPSOH[LW\/HYHO%DVLF$SSOLFDWLRQRI6NLOOV&RQFHSWV
$GGVXEWUDFWPXOWLSO\DQGGLYLGHGHFLPDOVWRKXQGUHGWKVXVLQJFRQFUHWHPRGHOVRU
GUDZLQJVDQGVWUDWHJLHVEDVHGRQSODFHYDOXHSURSHUWLHVRIRSHUDWLRQVDQGRUWKH
UHODWLRQVKLSEHWZHHQDGGLWLRQDQGVXEWUDFWLRQUHODWHWKHVWUDWHJ\WRDZULWWHQPHWKRG
DQGH[SODLQWKHUHDVRQLQJXVHG
&RJQLWLYH&RPSOH[LW\/HYHO%DVLF$SSOLFDWLRQRI6NLOOV&RQFHSWV
'RPDLQ180%(5$1'23(5$7,216)5$&7,216
&OXVWHU8VHHTXLYDOHQWIUDFWLRQVDVDVWUDWHJ\WRDGGDQGVXEWUDFWIUDFWLRQV
0DMRU&OXVWHU
'RQ¶W«6RUWFOXVWHUVIURP0DMRUWR6XSSRUWLQJDQGWKHQWHDFKWKHPLQWKDWRUGHU7RGRVR
ZRXOGVWULSWKHFRKHUHQFHRIWKHPDWKHPDWLFDOLGHDVDQGPLVVWKHRSSRUWXQLW\WRHQKDQFHWKH
PDMRUZRUNRIWKHJUDGHZLWKWKHVXSSRUWLQJFOXVWHUV
67$1'$5'&2'(
0$)61)
0$)61)
67$1'$5'
$GGDQGVXEWUDFWIUDFWLRQVZLWKXQOLNHGHQRPLQDWRUVLQFOXGLQJPL[HGQXPEHUVE\
UHSODFLQJJLYHQIUDFWLRQVZLWKHTXLYDOHQWIUDFWLRQVLQVXFKDZD\DVWRSURGXFHDQ
HTXLYDOHQWVXPRUGLIIHUHQFHRIIUDFWLRQVZLWKOLNHGHQRPLQDWRUV)RUH[DPSOH
,QJHQHUDODEFG DGEFEG
&RJQLWLYH&RPSOH[LW\/HYHO%DVLF$SSOLFDWLRQRI6NLOOV&RQFHSWV
6ROYHZRUGSUREOHPVLQYROYLQJDGGLWLRQDQGVXEWUDFWLRQRIIUDFWLRQVUHIHUULQJWRWKH
VDPHZKROHLQFOXGLQJFDVHVRIXQOLNHGHQRPLQDWRUVHJE\XVLQJYLVXDOIUDFWLRQ
PRGHOVRUHTXDWLRQVWRUHSUHVHQWWKHSUREOHP8VHEHQFKPDUNIUDFWLRQVDQGQXPEHU
VHQVHRIIUDFWLRQVWRHVWLPDWHPHQWDOO\DQGDVVHVVWKHUHDVRQDEOHQHVVRIDQVZHUV)RU
H[DPSOHUHFRJQL]HDQLQFRUUHFWUHVXOW E\REVHUYLQJWKDW
&RJQLWLYH&RPSOH[LW\/HYHO%DVLF$SSOLFDWLRQRI6NLOOV&RQFHSWV
&OXVWHU$SSO\DQGH[WHQGSUHYLRXVXQGHUVWDQGLQJVRIPXOWLSOLFDWLRQDQGGLYLVLRQWRPXOWLSO\
DQGGLYLGHIUDFWLRQV
0DMRU&OXVWHU
'RQ¶W«6RUWFOXVWHUVIURP0DMRUWR6XSSRUWLQJDQGWKHQWHDFKWKHPLQWKDWRUGHU7RGRVR
ZRXOGVWULSWKHFRKHUHQFHRIWKHPDWKHPDWLFDOLGHDVDQGPLVVWKHRSSRUWXQLW\WRHQKDQFHWKH
PDMRUZRUNRIWKHJUDGHZLWKWKHVXSSRUWLQJFOXVWHUV
67$1'$5'&2'(
0$)61)
0$)61)
67$1'$5'
,QWHUSUHWDIUDFWLRQDVGLYLVLRQRIWKHQXPHUDWRUE\WKHGHQRPLQDWRUDE D·E6ROYH
ZRUGSUREOHPVLQYROYLQJGLYLVLRQRIZKROHQXPEHUVOHDGLQJWRDQVZHUVLQWKHIRUPRI
IUDFWLRQVRUPL[HGQXPEHUVHJE\XVLQJYLVXDOIUDFWLRQPRGHOVRUHTXDWLRQVWR
UHSUHVHQWWKHSUREOHP)RUH[DPSOHLQWHUSUHWDVWKHUHVXOWRIGLYLGLQJE\QRWLQJ
WKDWPXOWLSOLHGE\HTXDOVDQGWKDWZKHQZKROHVDUHVKDUHGHTXDOO\DPRQJ
SHRSOHHDFKSHUVRQKDVDVKDUHRIVL]H,ISHRSOHZDQWWRVKDUHDSRXQGVDFN
RIULFHHTXDOO\E\ZHLJKWKRZPDQ\SRXQGVRIULFHVKRXOGHDFKSHUVRQJHW"%HWZHHQ
ZKDWWZRZKROHQXPEHUVGRHV\RXUDQVZHUOLH"
&RJQLWLYH&RPSOH[LW\/HYHO%DVLF$SSOLFDWLRQRI6NLOOV&RQFHSWV
$SSO\DQGH[WHQGSUHYLRXVXQGHUVWDQGLQJVRIPXOWLSOLFDWLRQWRPXOWLSO\DIUDFWLRQRU
Mathematics Common Core (MACC) is now Mathematics Florida Standards (MAFS)
Next Generation Sunshine State Standards (NGSSS) for Mathematics (MA) is now Mathematics Florida Standards (MAFS)
Amended Standard
New Standard
Deleted Standard
ZKROHQXPEHUE\DIUDFWLRQ
D ,QWHUSUHWWKHSURGXFWDEîTDVDSDUWVRIDSDUWLWLRQRITLQWREHTXDOSDUWV
HTXLYDOHQWO\DVWKHUHVXOWRIDVHTXHQFHRIRSHUDWLRQVDîT·E)RUH[DPSOH
XVHDYLVXDOIUDFWLRQPRGHOWRVKRZî DQGFUHDWHDVWRU\FRQWH[W
IRUWKLVHTXDWLRQ'RWKHVDPHZLWKî ,QJHQHUDODEî
FG DFEG
E )LQGWKHDUHDRIDUHFWDQJOHZLWKIUDFWLRQDOVLGHOHQJWKVE\WLOLQJLWZLWKXQLW
VTXDUHVRIWKHDSSURSULDWHXQLWIUDFWLRQVLGHOHQJWKVDQGVKRZWKDWWKHDUHDLV
WKHVDPHDVZRXOGEHIRXQGE\PXOWLSO\LQJWKHVLGHOHQJWKV0XOWLSO\IUDFWLRQDO
VLGHOHQJWKVWRILQGDUHDVRIUHFWDQJOHVDQGUHSUHVHQWIUDFWLRQSURGXFWVDV
UHFWDQJXODUDUHDV
0$)61)
&RJQLWLYH&RPSOH[LW\/HYHO%DVLF$SSOLFDWLRQRI6NLOOV&RQFHSWV
,QWHUSUHWPXOWLSOLFDWLRQDVVFDOLQJUHVL]LQJE\
D &RPSDULQJWKHVL]HRIDSURGXFWWRWKHVL]HRIRQHIDFWRURQWKHEDVLVRIWKH
VL]HRIWKHRWKHUIDFWRUZLWKRXWSHUIRUPLQJWKHLQGLFDWHGPXOWLSOLFDWLRQ
E ([SODLQLQJZK\PXOWLSO\LQJDJLYHQQXPEHUE\DIUDFWLRQJUHDWHUWKDQUHVXOWV
LQDSURGXFWJUHDWHUWKDQWKHJLYHQQXPEHUUHFRJQL]LQJPXOWLSOLFDWLRQE\ZKROH
QXPEHUVJUHDWHUWKDQDVDIDPLOLDUFDVHH[SODLQLQJZK\PXOWLSO\LQJDJLYHQ
QXPEHUE\DIUDFWLRQOHVVWKDQUHVXOWVLQDSURGXFWVPDOOHUWKDQWKHJLYHQ
QXPEHUDQGUHODWLQJWKHSULQFLSOHRIIUDFWLRQHTXLYDOHQFHDE QîDQîEWR
WKHHIIHFWRIPXOWLSO\LQJDEE\
0$)61)
0$)61)
&RJQLWLYH&RPSOH[LW\/HYHO6WUDWHJLF7KLQNLQJ&RPSOH[5HDVRQLQJ
6ROYHUHDOZRUOGSUREOHPVLQYROYLQJPXOWLSOLFDWLRQRIIUDFWLRQVDQGPL[HGQXPEHUVHJ
E\XVLQJYLVXDOIUDFWLRQPRGHOVRUHTXDWLRQVWRUHSUHVHQWWKHSUREOHP
&RJQLWLYH&RPSOH[LW\/HYHO%DVLF$SSOLFDWLRQRI6NLOOV&RQFHSWV
$SSO\DQGH[WHQGSUHYLRXVXQGHUVWDQGLQJVRIGLYLVLRQWRGLYLGHXQLWIUDFWLRQVE\ZKROH
QXPEHUVDQGZKROHQXPEHUVE\XQLWIUDFWLRQV
D ,QWHUSUHWGLYLVLRQRIDXQLWIUDFWLRQE\DQRQ]HURZKROHQXPEHUDQGFRPSXWH
VXFKTXRWLHQWV)RUH[DPSOHFUHDWHDVWRU\FRQWH[WIRU·DQGXVHD
YLVXDOIUDFWLRQPRGHOWRVKRZWKHTXRWLHQW8VHWKHUHODWLRQVKLSEHWZHHQ
PXOWLSOLFDWLRQDQGGLYLVLRQWRH[SODLQWKDW· EHFDXVHî E ,QWHUSUHWGLYLVLRQRIDZKROHQXPEHUE\DXQLWIUDFWLRQDQGFRPSXWHVXFK
TXRWLHQWV)RUH[DPSOHFUHDWHDVWRU\FRQWH[WIRU·DQGXVHDYLVXDO
IUDFWLRQPRGHOWRVKRZWKHTXRWLHQW8VHWKHUHODWLRQVKLSEHWZHHQ
PXOWLSOLFDWLRQDQGGLYLVLRQWRH[SODLQWKDW· EHFDXVHî F 6ROYHUHDOZRUOGSUREOHPVLQYROYLQJGLYLVLRQRIXQLWIUDFWLRQVE\QRQ]HURZKROH
QXPEHUVDQGGLYLVLRQRIZKROHQXPEHUVE\XQLWIUDFWLRQVHJE\XVLQJYLVXDO
IUDFWLRQPRGHOVDQGHTXDWLRQVWRUHSUHVHQWWKHSUREOHP)RUH[DPSOHKRZ
PXFKFKRFRODWHZLOOHDFKSHUVRQJHWLISHRSOHVKDUHOERIFKRFRODWH
HTXDOO\"+RZPDQ\FXSVHUYLQJVDUHLQFXSVRIUDLVLQV"
&RJQLWLYH&RPSOH[LW\/HYHO%DVLF$SSOLFDWLRQRI6NLOOV&RQFHSWV
Mathematics Common Core (MACC) is now Mathematics Florida Standards (MAFS)
Next Generation Sunshine State Standards (NGSSS) for Mathematics (MA) is now Mathematics Florida Standards (MAFS)
Amended Standard
New Standard
Deleted Standard
'RPDLQ0($685(0(17$1''$7$
&OXVWHU&RQYHUWOLNHPHDVXUHPHQWXQLWVZLWKLQDJLYHQPHDVXUHPHQWV\VWHP
6XSSRUWLQJ&OXVWHU
'RQ¶W«6RUWFOXVWHUVIURP0DMRUWR6XSSRUWLQJDQGWKHQWHDFKWKHPLQWKDWRUGHU7RGRVR
ZRXOGVWULSWKHFRKHUHQFHRIWKHPDWKHPDWLFDOLGHDVDQGPLVVWKHRSSRUWXQLW\WRHQKDQFHWKH
PDMRUZRUNRIWKHJUDGHZLWKWKHVXSSRUWLQJFOXVWHUV
67$1'$5'&2'(
0$)60'
67$1'$5'
&RQYHUWDPRQJGLIIHUHQWVL]HGVWDQGDUGPHDVXUHPHQWXQLWVLHNPPFPNJ
JOER]OPOKUPLQVHFZLWKLQDJLYHQPHDVXUHPHQWV\VWHPHJFRQYHUW
FPWRPDQGXVHWKHVHFRQYHUVLRQVLQVROYLQJPXOWLVWHSUHDOZRUOG
SUREOHPV
&RJQLWLYH&RPSOH[LW\/HYHO%DVLF$SSOLFDWLRQRI6NLOOV&RQFHSWV
&OXVWHU5HSUHVHQWDQGLQWHUSUHWGDWD
6XSSRUWLQJ&OXVWHU
‡'RQ¶W«6RUWFOXVWHUVIURP0DMRUWR6XSSRUWLQJDQGWKHQWHDFKWKHPLQWKDWRUGHU7RGRVR
ZRXOGVWULSWKHFRKHUHQFHRIWKHPDWKHPDWLFDOLGHDVDQGPLVVWKHRSSRUWXQLW\WRHQKDQFHWKH
PDMRUZRUNRIWKHJUDGHZLWKWKHVXSSRUWLQJFOXVWHUV
67$1'$5'&2'(
0$)60'
67$1'$5'
0DNHDOLQHSORWWRGLVSOD\DGDWDVHWRIPHDVXUHPHQWVLQIUDFWLRQVRIDXQLW
8VHRSHUDWLRQVRQIUDFWLRQVIRUWKLVJUDGHWRVROYHSUREOHPVLQYROYLQJLQIRUPDWLRQ
SUHVHQWHGLQOLQHSORWV)RUH[DPSOHJLYHQGLIIHUHQWPHDVXUHPHQWVRIOLTXLGLQLGHQWLFDO
EHDNHUVILQGWKHDPRXQWRIOLTXLGHDFKEHDNHUZRXOGFRQWDLQLIWKHWRWDODPRXQWLQDOO
WKHEHDNHUVZHUHUHGLVWULEXWHGHTXDOO\
&RJQLWLYH&RPSOH[LW\/HYHO%DVLF$SSOLFDWLRQRI6NLOOV&RQFHSWV
&OXVWHU*HRPHWULFPHDVXUHPHQWXQGHUVWDQGFRQFHSWVRIYROXPHDQGUHODWHYROXPHWR
PXOWLSOLFDWLRQDQGWRDGGLWLRQ
0DMRU&OXVWHU
'RQ
W6RUWFOXVWHUVIURP0DMRUWR6XSSRUWLQJDQGWKHQWHDFKWKHPLQWKDWRUGHU7RGRVR
ZRXOGVWULSWKHFRKHUHQFHRIWKHPDWKHPDWLFDOLGHDVDQGPLVVWKHRSSRUWXQLW\WRHQKDQFHWKH
PDMRUZRUNRIWKHJUDGHZLWKWKHVXSSRUWLQJFOXVWHUV
67$1'$5'&2'(
0$)60'
67$1'$5'
5HFRJQL]HYROXPHDVDQDWWULEXWHRIVROLGILJXUHVDQGXQGHUVWDQGFRQFHSWVRIYROXPH
PHDVXUHPHQW
D $FXEHZLWKVLGHOHQJWKXQLWFDOOHGD³XQLWFXEH´LVVDLGWRKDYH³RQHFXELF
XQLW´RIYROXPHDQGFDQEHXVHGWRPHDVXUHYROXPH
E $VROLGILJXUHZKLFKFDQEHSDFNHGZLWKRXWJDSVRURYHUODSVXVLQJQXQLWFXEHV
LVVDLGWRKDYHDYROXPHRIQFXELFXQLWV
Mathematics Common Core (MACC) is now Mathematics Florida Standards (MAFS)
Next Generation Sunshine State Standards (NGSSS) for Mathematics (MA) is now Mathematics Florida Standards (MAFS)
Amended Standard
New Standard
Deleted Standard
0$)60'
0$)60'
&RJQLWLYH&RPSOH[LW\/HYHO5HFDOO
0HDVXUHYROXPHVE\FRXQWLQJXQLWFXEHVXVLQJFXELFFPFXELFLQFXELFIWDQG
LPSURYLVHGXQLWV
&RJQLWLYH&RPSOH[LW\/HYHO5HFDOO
5HODWHYROXPHWRWKHRSHUDWLRQVRIPXOWLSOLFDWLRQDQGDGGLWLRQDQGVROYHUHDO
ZRUOGDQGPDWKHPDWLFDOSUREOHPVLQYROYLQJYROXPH
D )LQGWKHYROXPHRIDULJKWUHFWDQJXODUSULVPZLWKZKROHQXPEHUVLGH
OHQJWKVE\SDFNLQJLWZLWKXQLWFXEHVDQGVKRZWKDWWKHYROXPHLVWKH
VDPHDVZRXOGEHIRXQGE\PXOWLSO\LQJWKHHGJHOHQJWKVHTXLYDOHQWO\E\
PXOWLSO\LQJWKHKHLJKWE\WKHDUHDRIWKHEDVH5HSUHVHQWWKUHHIROGZKROH
QXPEHUSURGXFWVDVYROXPHVHJWRUHSUHVHQWWKHDVVRFLDWLYHSURSHUW\
RIPXOWLSOLFDWLRQ
E $SSO\WKHIRUPXODV9 OîZîKDQG9 %îKIRUUHFWDQJXODUSULVPVWR
ILQGYROXPHVRIULJKWUHFWDQJXODUSULVPVZLWKZKROHQXPEHUHGJH
OHQJWKVLQWKHFRQWH[WRIVROYLQJUHDOZRUOGDQGPDWKHPDWLFDOSUREOHPV
F 5HFRJQL]HYROXPHDVDGGLWLYH)LQGYROXPHVRIVROLGILJXUHVFRPSRVHG
RIWZRQRQRYHUODSSLQJULJKWUHFWDQJXODUSULVPVE\DGGLQJWKHYROXPHV
RIWKHQRQRYHUODSSLQJSDUWVDSSO\LQJWKLVWHFKQLTXHWRVROYHUHDOZRUOG
SUREOHPV
&RJQLWLYH&RPSOH[LW\/HYHO%DVLF$SSOLFDWLRQRI6NLOOV&RQFHSWV
'RPDLQ*(20(75<
&OXVWHU*UDSKSRLQWVRQWKHFRRUGLQDWHSODQHWRVROYHUHDOZRUOGDQGPDWKHPDWLFDOSUREOHPV
$GGLWLRQDO&OXVWHU
'RQ
W6RUWFOXVWHUVIURP0DMRUWR6XSSRUWLQJDQGWKHQWHDFKWKHPLQWKDWRUGHU7RGRVR
ZRXOGVWULSWKHFRKHUHQFHRIWKHPDWKHPDWLFDOLGHDVDQGPLVVWKHRSSRUWXQLW\WRHQKDQFHWKH
PDMRUZRUNRIWKHJUDGHZLWKWKHVXSSRUWLQJFOXVWHUV
67$1'$5'&2'(
0$)6*
0$)6*
67$1'$5'
8VHDSDLURISHUSHQGLFXODUQXPEHUOLQHVFDOOHGD[HVWRGHILQHDFRRUGLQDWHV\VWHP
ZLWKWKHLQWHUVHFWLRQRIWKHOLQHVWKHRULJLQDUUDQJHGWRFRLQFLGHZLWKWKHRQHDFKOLQH
DQGDJLYHQSRLQWLQWKHSODQHORFDWHGE\XVLQJDQRUGHUHGSDLURIQXPEHUVFDOOHGLWV
FRRUGLQDWHV8QGHUVWDQGWKDWWKHILUVWQXPEHULQGLFDWHVKRZIDUWRWUDYHOIURPWKHRULJLQ
LQWKHGLUHFWLRQRIRQHD[LVDQGWKHVHFRQGQXPEHULQGLFDWHVKRZIDUWRWUDYHOLQWKH
GLUHFWLRQRIWKHVHFRQGD[LVZLWKWKHFRQYHQWLRQWKDWWKHQDPHVRIWKHWZRD[HVDQGWKH
FRRUGLQDWHVFRUUHVSRQGHJ[D[LVDQG[FRRUGLQDWH\D[LVDQG\FRRUGLQDWH
&RJQLWLYH&RPSOH[LW\/HYHO5HFDOO
5HSUHVHQWUHDOZRUOGDQGPDWKHPDWLFDOSUREOHPVE\JUDSKLQJSRLQWVLQWKHILUVW
TXDGUDQWRIWKHFRRUGLQDWHSODQHDQGLQWHUSUHWFRRUGLQDWHYDOXHVRISRLQWVLQWKHFRQWH[W
RIWKHVLWXDWLRQ
&RJQLWLYH&RPSOH[LW\/HYHO%DVLF$SSOLFDWLRQRI6NLOOV&RQFHSWV
&OXVWHU&ODVVLI\WZRGLPHQVLRQDOILJXUHVLQWRFDWHJRULHVEDVHGRQWKHLUSURSHUWLHV
$GGLWLRQDO&OXVWHU
'RQ
W6RUWFOXVWHUVIURP0DMRUWR6XSSRUWLQJDQGWKHQWHDFKWKHPLQWKDWRUGHU7RGRVR
Mathematics Common Core (MACC) is now Mathematics Florida Standards (MAFS)
Next Generation Sunshine State Standards (NGSSS) for Mathematics (MA) is now Mathematics Florida Standards (MAFS)
Amended Standard
New Standard
Deleted Standard
ZRXOGVWULSWKHFRKHUHQFHRIWKHPDWKHPDWLFDOLGHDVDQGPLVVWKHRSSRUWXQLW\WRHQKDQFHWKH
PDMRUZRUNRIWKHJUDGHZLWKWKHVXSSRUWLQJFOXVWHUV
67$1'$5'&2'(
0$)6*
0$)6*
67$1'$5'
8QGHUVWDQGWKDWDWWULEXWHVEHORQJLQJWRDFDWHJRU\RIWZRGLPHQVLRQDOILJXUHVDOVR
EHORQJWRDOOVXEFDWHJRULHVRIWKDWFDWHJRU\)RUH[DPSOHDOOUHFWDQJOHVKDYHIRXUULJKW
DQJOHVDQGVTXDUHVDUHUHFWDQJOHVVRDOOVTXDUHVKDYHIRXUULJKWDQJOHV
&RJQLWLYH&RPSOH[LW\/HYHO%DVLF$SSOLFDWLRQRI6NLOOV&RQFHSWV
&ODVVLI\DQGRUJDQL]HWZRGLPHQVLRQDOILJXUHVLQWR9HQQGLDJUDPVEDVHGRQWKH
DWWULEXWHVRIWKHILJXUHV
&RJQLWLYH&RPSOH[LW\/HYHO%DVLF$SSOLFDWLRQRI6NLOOV&RQFHSWV
Mathematics Common Core (MACC) is now Mathematics Florida Standards (MAFS)
Next Generation Sunshine State Standards (NGSSS) for Mathematics (MA) is now Mathematics Florida Standards (MAFS)
Amended Standard
New Standard
Deleted Standard