Mathematics Florida Standards 2nd Grade

*5$'(
'RPDLQ23(5$7,216$1'$/*(%5$,&7+,1.,1*
&OXVWHU5HSUHVHQWDQGVROYHSUREOHPVLQYROYLQJDGGLWLRQDQGVXEWUDFWLRQ
67$1'$5'&2'(
0$)62$
0$)62$D
67$1'$5'
8VHDGGLWLRQDQGVXEWUDFWLRQZLWKLQWRVROYHRQHDQGWZRVWHSZRUGSUREOHPV
LQYROYLQJVLWXDWLRQVRIDGGLQJWRWDNLQJIURPSXWWLQJWRJHWKHUWDNLQJDSDUWDQG
FRPSDULQJZLWKXQNQRZQVLQDOOSRVLWLRQVHJE\XVLQJGUDZLQJVDQGHTXDWLRQVZLWKD
V\PEROIRUWKHXQNQRZQQXPEHUWRUHSUHVHQWWKHSUREOHP
&RJQLWLYH&RPSOH[LW\/HYHO%DVLF$SSOLFDWLRQRI6NLOOV&RQFHSWV
'HWHUPLQHWKHXQNQRZQZKROHQXPEHULQDQHTXDWLRQUHODWLQJIRXURUPRUHZKROH
QXPEHUV)RUH[DPSOHGHWHUPLQHWKHXQNQRZQQXPEHUWKDWPDNHVWKHHTXDWLRQ
WUXHLQWKHHTXDWLRQV BBBBBB"± ±DQG± &OXVWHU$GGDQGVXEWUDFWZLWKLQ
67$1'$5'&2'(
0$)62$
67$1'$5'
)OXHQWO\DGGDQGVXEWUDFWZLWKLQXVLQJPHQWDOVWUDWHJLHV%\HQGRI*UDGHNQRZ
IURPPHPRU\DOOVXPVRIWZRRQHGLJLWQXPEHUV
&RJQLWLYH&RPSOH[LW\/HYHO5HFDOO
&OXVWHU:RUNZLWKHTXDOJURXSVRIREMHFWVWRJDLQIRXQGDWLRQVIRUPXOWLSOLFDWLRQ
67$1'$5'&2'(
0$)62$
0$)62$
67$1'$5'
'HWHUPLQHZKHWKHUDJURXSRIREMHFWVXSWRKDVDQRGGRUHYHQQXPEHURI
PHPEHUVHJE\SDLULQJREMHFWVRUFRXQWLQJWKHPE\VZULWHDQHTXDWLRQWRH[SUHVV
DQHYHQQXPEHUDVDVXPRIWZRHTXDODGGHQGV
&RJQLWLYH&RPSOH[LW\/HYHO%DVLF$SSOLFDWLRQRI6NLOOV&RQFHSWV
8VHDGGLWLRQWRILQGWKHWRWDOQXPEHURIREMHFWVDUUDQJHGLQUHFWDQJXODUDUUD\VZLWKXSWR
URZVDQGXSWRFROXPQVZULWHDQHTXDWLRQWRH[SUHVVWKHWRWDODVDVXPRIHTXDO
DGGHQGV
&RJQLWLYH&RPSOH[LW\/HYHO5HFDOO
'RPDLQ180%(5$1'23(5$7,216,1%$6(7(1
&OXVWHU8QGHUVWDQGSODFHYDOXH
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
67$1'$5'&2'(
0$)61%7
67$1'$5'
8QGHUVWDQGWKDWWKHWKUHHGLJLWVRIDWKUHHGLJLWQXPEHUUHSUHVHQWDPRXQWVRIKXQGUHGV
WHQVDQGRQHVHJHTXDOVKXQGUHGVWHQVDQGRQHV8QGHUVWDQGWKH
IROORZLQJDVVSHFLDOFDVHV
D FDQEHWKRXJKWRIDVDEXQGOHRIWHQWHQV²FDOOHGD³KXQGUHG´
E 7KHQXPEHUVUHIHUWRRQHWZR
WKUHHIRXUILYHVL[VHYHQHLJKWRUQLQHKXQGUHGVDQGWHQVDQGRQHV
0$)61%7
0$)61%7
0$)61%7
&RJQLWLYH&RPSOH[LW\/HYHO%DVLF$SSOLFDWLRQRI6NLOOV&RQFHSWV
&RXQWZLWKLQVNLSFRXQWE\VVDQGV
&RJQLWLYH&RPSOH[LW\/HYHO5HFDOO
5HDGDQGZULWHQXPEHUVWRXVLQJEDVHWHQQXPHUDOVQXPEHUQDPHVDQG
H[SDQGHGIRUP
&RJQLWLYH&RPSOH[LW\/HYHO5HFDOO
&RPSDUHWZRWKUHHGLJLWQXPEHUVEDVHGRQPHDQLQJVRIWKHKXQGUHGVWHQVDQGRQHV
GLJLWVXVLQJ! DQGV\PEROVWRUHFRUGWKHUHVXOWVRIFRPSDULVRQV
&RJQLWLYH&RPSOH[LW\/HYHO%DVLF$SSOLFDWLRQRI6NLOOV&RQFHSWV
&OXVWHU8VHSODFHYDOXHXQGHUVWDQGLQJDQGSURSHUWLHVRIRSHUDWLRQVWRDGGDQGVXEWUDFW
67$1'$5'&2'(
0$)61%7
0$)61%7
0$)61%7
0$)61%7
0$)61%7
67$1'$5'
)OXHQWO\DGGDQGVXEWUDFWZLWKLQXVLQJVWUDWHJLHVEDVHGRQSODFHYDOXHSURSHUWLHV
RIRSHUDWLRQVDQGRUWKHUHODWLRQVKLSEHWZHHQDGGLWLRQDQGVXEWUDFWLRQ
&RJQLWLYH&RPSOH[LW\/HYHO5HFDOO
$GGXSWRIRXUWZRGLJLWQXPEHUVXVLQJVWUDWHJLHVEDVHGRQSODFHYDOXHDQGSURSHUWLHV
RIRSHUDWLRQV
&RJQLWLYH&RPSOH[LW\/HYHO5HFDOO
$GGDQGVXEWUDFWZLWKLQXVLQJFRQFUHWHPRGHOVRUGUDZLQJVDQGVWUDWHJLHVEDVHG
RQSODFHYDOXHSURSHUWLHVRIRSHUDWLRQVDQGRUWKHUHODWLRQVKLSEHWZHHQDGGLWLRQDQG
VXEWUDFWLRQUHODWHWKHVWUDWHJ\WRDZULWWHQPHWKRG8QGHUVWDQGWKDWLQDGGLQJRU
VXEWUDFWLQJWKUHHGLJLWQXPEHUVRQHDGGVRUVXEWUDFWVKXQGUHGVDQGKXQGUHGVWHQV
DQGWHQVRQHVDQGRQHVDQGVRPHWLPHVLWLVQHFHVVDU\WRFRPSRVHRUGHFRPSRVH
WHQVRUKXQGUHGV
&RJQLWLYH&RPSOH[LW\/HYHO%DVLF$SSOLFDWLRQRI6NLOOV&RQFHSWV
0HQWDOO\DGGRUWRDJLYHQQXPEHU±DQGPHQWDOO\VXEWUDFWRU
IURPDJLYHQQXPEHU±
&RJQLWLYH&RPSOH[LW\/HYHO5HFDOO
([SODLQZK\DGGLWLRQDQGVXEWUDFWLRQVWUDWHJLHVZRUNXVLQJSODFHYDOXHDQGWKH
SURSHUWLHVRIRSHUDWLRQV
&RJQLWLYH&RPSOH[LW\/HYHO6WUDWHJLF7KLQNLQJ&RPSOH[5HDVRQLQJ
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''$7$
&OXVWHU0HDVXUHDQGHVWLPDWHOHQJWKVLQVWDQGDUGXQLWV
67$1'$5'&2'(
0$)60'
0$)60'
0$)60'
0$)60'
67$1'$5'
0HDVXUHWKHOHQJWKRIDQREMHFWWRWKHQHDUHVWLQFKIRRWFHQWLPHWHURUPHWHUE\
VHOHFWLQJDQGXVLQJDSSURSULDWHWRROVVXFKDVUXOHUV\DUGVWLFNVPHWHUVWLFNV
DQGPHDVXULQJWDSHV
&RJQLWLYH&RPSOH[LW\/HYHO%DVLF$SSOLFDWLRQRI6NLOOV&RQFHSWV
'HVFULEHWKHLQYHUVHUHODWLRQVKLSEHWZHHQWKHVL]HRIDXQLWDQGQXPEHURIXQLWV
QHHGHGWRPHDVXUHDJLYHQREMHFWExample: Suppose the perimeter of a room is
lined with one-foot rulers. Now, suppose we want to line it with yardsticks instead
of rulers. Will we need more or fewer yardsticks than rulers to do the job? Explain
your answer. &RJQLWLYH&RPSOH[LW\/HYHO%DVLF$SSOLFDWLRQRI6NLOOV&RQFHSWV
(VWLPDWHOHQJWKVXVLQJXQLWVRILQFKHVIHHW\DUGVFHQWLPHWHUVDQGPHWHUV
&RJQLWLYH&RPSOH[LW\/HYHO%DVLF$SSOLFDWLRQRI6NLOOV&RQFHSWV
0HDVXUHWRGHWHUPLQHKRZPXFKORQJHURQHREMHFWLVWKDQDQRWKHUH[SUHVVLQJWKH
OHQJWKGLIIHUHQFHLQWHUPVRIDVWDQGDUGOHQJWKXQLW
&RJQLWLYH&RPSOH[LW\/HYHO%DVLF$SSOLFDWLRQRI6NLOOV&RQFHSWV
&OXVWHU5HODWHDGGLWLRQDQGVXEWUDFWLRQWROHQJWK
67$1'$5'&2'(
0$)60'
0$)60'
67$1'$5'
8VHDGGLWLRQDQGVXEWUDFWLRQZLWKLQWRVROYHZRUGSUREOHPVLQYROYLQJOHQJWKVWKDW
DUHJLYHQLQWKHVDPHXQLWVHJE\XVLQJGUDZLQJVVXFKDVGUDZLQJVRIUXOHUVDQG
HTXDWLRQVZLWKDV\PEROIRUWKHXQNQRZQQXPEHUWRUHSUHVHQWWKHSUREOHP
&RJQLWLYH&RPSOH[LW\/HYHO%DVLF$SSOLFDWLRQRI6NLOOV&RQFHSWV
5HSUHVHQWZKROHQXPEHUVDVOHQJWKVIURPRQDQXPEHUOLQHGLDJUDPZLWKHTXDOO\
VSDFHGSRLQWVFRUUHVSRQGLQJWRWKHQXPEHUVDQGUHSUHVHQWZKROHQXPEHU
VXPVDQGGLIIHUHQFHVZLWKLQRQDQXPEHUOLQHGLDJUDP
&RJQLWLYH&RPSOH[LW\/HYHO%DVLF$SSOLFDWLRQRI6NLOOV&RQFHSWV
&OXVWHU:RUNZLWKWLPHDQGPRQH\
67$1'$5'&2'(
0$)60'
0$)60'
67$1'$5'
7HOODQGZULWHWLPHIURPDQDORJDQGGLJLWDOFORFNVWRWKHQHDUHVWILYHPLQXWHV
&RJQLWLYH&RPSOH[LW\/HYHO5HFDOO
6ROYHRQHDQGWZRVWHSZRUGSUREOHPVLQYROYLQJGROODUELOOVVLQJOHVILYHVWHQV
WZHQWLHVDQGKXQGUHGVRUFRLQVTXDUWHUVGLPHVQLFNHOVDQGSHQQLHVXVLQJ
Mathematics Common Core (MACC) is now Mathematics Florida Standards (MAFS)
Next Generation Sunshine State Standards (NGSSS) for Mathematics (MA) is now Mathematics Florida Standards (MAFS)
Amended Standard
New Standard
Deleted Standard
DQG„V\PEROVDSSURSULDWHO\:RUGSUREOHPVPD\LQYROYHDGGLWLRQVXEWUDFWLRQ
DQGHTXDOJURXSVVLWXDWLRQV Example: The cash register shows that the total for
your purchase is 59¢. You gave the cashier three quarters. How much change
should you receive from the cashier?
D ,GHQWLI\WKHYDOXHRIFRLQVDQGSDSHUFXUUHQF\
E &RPSXWHWKHYDOXHRIDQ\FRPELQDWLRQRIFRLQVZLWKLQRQHGROODU
F &RPSXWHWKHYDOXHRIDQ\FRPELQDWLRQVRIGROODUVHJ,I\RXKDYHWKUHH
WHQGROODUELOOVRQHILYHGROODUELOODQGWZRRQHGROODUELOOVKRZPXFK
PRQH\GR\RXKDYH"
G 5HODWHWKHYDOXHRISHQQLHVQLFNHOVGLPHVDQGTXDUWHUVWRRWKHUFRLQV
DQGWRWKHGROODUHJ7KHUHDUHILYHQLFNHOVLQRQHTXDUWHU7KHUHDUHWZR
QLFNHOVLQRQHGLPH7KHUHDUHWZRDQGDKDOIGLPHVLQRQHTXDUWHU7KHUH
DUHWZHQW\QLFNHOVLQRQHGROODU
6HHJORVVDU\7DEOH
&RJQLWLYH&RPSOH[LW\/HYHO%DVLF$SSOLFDWLRQRI6NLOOV&RQFHSWV
&OXVWHU5HSUHVHQWDQGLQWHUSUHWGDWD
0DMRU&OXVWHU
‡'RQ¶W«6RUWFOXVWHUVIURP0DMRUWR6XSSRUWLQJDQGWKHQWHDFKWKHPLQWKDWRUGHU7RGRVR
ZRXOGVWULSWKHFRKHUHQFHRIWKHPDWKHPDWLFDOLGHDVDQGPLVVWKHRSSRUWXQLW\WRHQKDQFHWKH
PDMRUZRUNRIWKHJUDGHZLWKWKHVXSSRUWLQJFOXVWHUV
67$1'$5'&2'(
0$)60'
0$)60'
67$1'$5'
'UDZDSLFWXUHJUDSKDQGDEDUJUDSKZLWKVLQJOHXQLWVFDOHWRUHSUHVHQWDGDWDVHW
ZLWKXSWRIRXUFDWHJRULHV6ROYHVLPSOHSXWWRJHWKHUWDNHDSDUWDQGFRPSDUHSUREOHPV
XVLQJLQIRUPDWLRQSUHVHQWHGLQDEDUJUDSK
&RJQLWLYH&RPSOH[LW\/HYHO%DVLF$SSOLFDWLRQRI6NLOOV&RQFHSWV
*HQHUDWHPHDVXUHPHQWGDWDE\PHDVXULQJOHQJWKVRIVHYHUDOREMHFWVWRWKHQHDUHVW
ZKROHXQLWRUE\PDNLQJUHSHDWHGPHDVXUHPHQWVRIWKHVDPHREMHFW6KRZWKH
PHDVXUHPHQWVE\PDNLQJDOLQHSORWZKHUHWKHKRUL]RQWDOVFDOHLVPDUNHGRIILQZKROH
QXPEHUXQLWV
&RJQLWLYH&RPSOH[LW\/HYHO%DVLF$SSOLFDWLRQRI6NLOOV&RQFHSWV
'RPDLQ*(20(75<
&OXVWHU5HDVRQZLWKVKDSHVDQGWKHLUDWWULEXWHV
6XSSRUWLQJ&OXVWHU
‡'RQ¶W«6RUWFOXVWHUVIURP0DMRUWR6XSSRUWLQJDQGWKHQWHDFKWKHPLQWKDWRUGHU7RGRVR
ZRXOGVWULSWKHFRKHUHQFHRIWKHPDWKHPDWLFDOLGHDVDQGPLVVWKHRSSRUWXQLW\WRHQKDQFHWKH
PDMRUZRUNRIWKHJUDGHZLWKWKHVXSSRUWLQJFOXVWHUV
67$1'$5'&2'(
0$)6*
67$1'$5'
5HFRJQL]HDQGGUDZVKDSHVKDYLQJVSHFLILHGDWWULEXWHVVXFKDVDJLYHQQXPEHURI
DQJOHVRUDJLYHQQXPEHURIHTXDOIDFHV,GHQWLI\WULDQJOHVTXDGULODWHUDOVSHQWDJRQV
KH[DJRQVDQGFXEHV
Mathematics Common Core (MACC) is now Mathematics Florida Standards (MAFS)
Next Generation Sunshine State Standards (NGSSS) for Mathematics (MA) is now Mathematics Florida Standards (MAFS)
Amended Standard
New Standard
Deleted Standard
0$)6*
0$)6*
&RJQLWLYH&RPSOH[LW\/HYHO5HFDOO
3DUWLWLRQDUHFWDQJOHLQWRURZVDQGFROXPQVRIVDPHVL]HVTXDUHVDQGFRXQWWRILQGWKH
WRWDOQXPEHURIWKHP
&RJQLWLYH&RPSOH[LW\/HYHO5HFDOO
3DUWLWLRQFLUFOHVDQGUHFWDQJOHVLQWRWZRWKUHHRUIRXUHTXDOVKDUHVGHVFULEHWKHVKDUHV
XVLQJWKHZRUGVKDOYHVWKLUGVKDOIRIDWKLUGRIHWFDQGGHVFULEHWKHZKROHDVWZR
KDOYHVWKUHHWKLUGVIRXUIRXUWKV5HFRJQL]HWKDWHTXDOVKDUHVRILGHQWLFDOZKROHVQHHG
QRWKDYHWKHVDPHVKDSH
&RJQLWLYH&RPSOH[LW\/HYHO5HFDOO
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