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¶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%$6(7(1 &OXVWHU8QGHUVWDQGWKHSODFHYDOXHV\VWHP 0DMRU&OXVWHU 'RQ¶W«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îîîî îî E &RPSDUHWZRGHFLPDOVWRWKRXVDQGWKVEDVHGRQPHDQLQJVRIWKHGLJLWVLQHDFK SODFHXVLQJ! DQGV\PEROVWRUHFRUGWKHUHVXOWVRIFRPSDULVRQV 0$)61%7 &RJQLWLYH&RPSOH[LW\/HYHO%DVLF$SSOLFDWLRQRI6NLOOV&RQFHSWV 8VHSODFHYDOXHXQGHUVWDQGLQJWRURXQGGHFLPDOVWRDQ\SODFH &RJQLWLYH&RPSOH[LW\/HYHO5HFDOO &OXVWHU3HUIRUPRSHUDWLRQVZLWKPXOWLGLJLWZKROHQXPEHUVDQGZLWKGHFLPDOVWRKXQGUHGWKV 0DMRU&OXVWHU 'RQ¶W«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athematics Common Core (MACC) is now Mathematics Florida Standards (MAFS) Next Generation Sunshine State Standards (NGSSS) for Mathematics (MA) is now Mathematics Florida Standards (MAFS) Amended Standard New Standard Deleted Standard 0$)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«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¶W«6RUWFOXVWHUVIURP0DMRUWR6XSSRUWLQJDQGWKHQWHDFKWKHPLQWKDWRUGHU7RGRVR ZRXOGVWULSWKHFRKHUHQFHRIWKHPDWKHPDWLFDOLGHDVDQGPLVVWKHRSSRUWXQLW\WRHQKDQFHWKH PDMRUZRUNRIWKHJUDGHZLWKWKHVXSSRUWLQJFOXVWHUV 67$1'$5'&2'( 0$)61) 0$)61) 67$1'$5' ,QWHUSUHWDIUDFWLRQDVGLYLVLRQRIWKHQXPHUDWRUE\WKHGHQRPLQDWRUDE D·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athematics Common Core (MACC) is now Mathematics Florida Standards (MAFS) Next Generation Sunshine State Standards (NGSSS) for Mathematics (MA) is now Mathematics Florida Standards (MAFS) Amended Standard New Standard Deleted Standard ZKROHQXPEHUE\DIUDFWLRQ D ,QWHUSUHWWKHSURGXFWDEîTDVDSDUWVRIDSDUWLWLRQRITLQWREHTXDOSDUWV HTXLYDOHQWO\DVWKHUHVXOWRIDVHTXHQFHRIRSHUDWLRQVDîT·E)RUH[DPSOH XVHDYLVXDOIUDFWLRQPRGHOWRVKRZî DQGFUHDWHDVWRU\FRQWH[W IRUWKLVHTXDWLRQ'RWKHVDPHZLWKî ,QJHQHUDODEî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îDQî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·DQGXVHD YLVXDOIUDFWLRQPRGHOWRVKRZWKHTXRWLHQW8VHWKHUHODWLRQVKLSEHWZHHQ PXOWLSOLFDWLRQDQGGLYLVLRQWRH[SODLQWKDW· EHFDXVHî E ,QWHUSUHWGLYLVLRQRIDZKROHQXPEHUE\DXQLWIUDFWLRQDQGFRPSXWHVXFK TXRWLHQWV)RUH[DPSOHFUHDWHDVWRU\FRQWH[WIRU·DQGXVHDYLVXDO IUDFWLRQPRGHOWRVKRZWKHTXRWLHQW8VHWKHUHODWLRQVKLSEHWZHHQ PXOWLSOLFDWLRQDQGGLYLVLRQWRH[SODLQWKDW· EHFDXVHî F 6ROYHUHDOZRUOGSUREOHPVLQYROYLQJGLYLVLRQRIXQLWIUDFWLRQVE\QRQ]HURZKROH QXPEHUVDQGGLYLVLRQRIZKROHQXPEHUVE\XQLWIUDFWLRQVHJE\XVLQJYLVXDO IUDFWLRQPRGHOVDQGHTXDWLRQVWRUHSUHVHQWWKHSUREOHP)RUH[DPSOHKRZ PXFKFKRFRODWHZLOOHDFKSHUVRQJHWLISHRSOHVKDUHOERIFKRFRODWH HTXDOO\"+RZPDQ\FXSVHUYLQJVDUHLQFXSVRIUDLVLQV" &RJQLWLYH&RPSOH[LW\/HYHO%DVLF$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«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‡'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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îZîKDQG9 %î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athematics 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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athematics 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
© Copyright 2026 Paperzz