4th Grade Math Goals

Everyday Mathematics
S C H O O L M AT H E M AT I C S P R O J E C T
*UDGH*UDGH/HYHO*RDOV
&&66(',7,21
&RQWHQW6WUDQG1XPEHUDQG1XPHUDWLRQ
3URJUDP*RDO
&RQWHQW7KUHDG *UDGH/HYHO*RDO
8QGHUVWDQGWKH0HDQLQJV8VHV
DQG5HSUHVHQWDWLRQVRI 1XPEHUV
3ODFHYDOXHDQGQRWDWLRQ
0HDQLQJVDQGXVHVRI IUDFWLRQV
1XPEHUWKHRU\
8QGHUVWDQG(TXLYDOHQW1DPHVIRU (TXLYDOHQWQDPHVIRU
1XPEHUV
ZKROHQXPEHUV
(TXLYDOHQWQDPHVIRU
IUDFWLRQVGHFLPDOVDQG
SHUFHQWV
8QGHUVWDQG&RPPRQ1XPHULFDO
5HODWLRQV
&RPSDULQJDQGRUGHULQJ
QXPEHUV
*RDO 5HDGDQGZULWHZKROHQXPEHUVXSWR
DQGGHFLPDOVWKURXJK
WKRXVDQGWKVLGHQWLI\SODFHVLQVXFK
QXPEHUVDQGWKHYDOXHVRI WKHGLJLWVLQ
WKRVHSODFHVWUDQVODWHEHWZHHQZKROH
QXPEHUVDQGGHFLPDOVUHSUHVHQWHGLQ
ZRUGVDQGLQEDVHQRWDWLRQ
*RDO 5HDGZULWHDQGPRGHOIUDFWLRQVVROYH
SUREOHPVLQYROYLQJIUDFWLRQDOSDUWVRI D
UHJLRQRUDFROOHFWLRQGHVFULEHDQGH[SODLQ
VWUDWHJLHVXVHGJLYHQDIUDFWLRQDOSDUWRI DUHJLRQRUDFROOHFWLRQLGHQWLI\WKHXQLW
ZKROH
*RDO )LQGPXOWLSOHVRI ZKROHQXPEHUVOHVVWKDQ
LGHQWLI\SULPHDQGFRPSRVLWHQXPEHUV
ÀQGZKROHQXPEHUIDFWRUVRI QXPEHUV
*RDO 8VHQXPHULFDOH[SUHVVLRQVLQYROYLQJ
RQHRUPRUHRI WKHEDVLFIRXUDULWKPHWLF
RSHUDWLRQVDQGJURXSLQJV\PEROVWRJLYH
HTXLYDOHQWQDPHVIRUZKROHQXPEHUV
*RDO 8VHQXPHULFDOH[SUHVVLRQVWRÀQG
DQGUHSUHVHQWHTXLYDOHQWQDPHVIRU
IUDFWLRQVDQGGHFLPDOVXVHDQGH[SODLQ
DPXOWLSOLFDWLRQUXOHWRÀQGHTXLYDOHQW
IUDFWLRQVUHQDPHIRXUWKVÀIWKVWHQWKV
DQGKXQGUHGWKVDVGHFLPDOVDQGSHUFHQWV
*RDO &RPSDUHDQGRUGHUZKROHQXPEHUVXS
WRDQGGHFLPDOVWKURXJK
WKRXVDQGWKVFRPSDUHDQGRUGHULQWHJHUV
EHWZHHQDQGXVHDUHDPRGHOV
EHQFKPDUNIUDFWLRQVDQGDQDO\VHVRI QXPHUDWRUVDQGGHQRPLQDWRUVWRFRPSDUH
DQGRUGHUIUDFWLRQV
1
Everyday Mathematics
*UDGH*UDGH/HYHO*RDOV
S C H O O L M AT H E M AT I C S P R O J E C T
&&66(',7,21
&RQWHQW6WUDQG2SHUDWLRQVDQG&RPSXWDWLRQ
3URJUDP*RDO
&RQWHQW7KUHDG *UDGH/HYHO*RDO
&RPSXWH$FFXUDWHO\
$GGLWLRQDQGVXEWUDFWLRQ *RDO 'HPRQVWUDWHDXWRPDWLFLW\ZLWKDGGLWLRQDQG
IDFWV
VXEWUDFWLRQIDFWH[WHQVLRQV
$GGLWLRQDQGVXEWUDFWLRQ *RDO 8VHPDQLSXODWLYHVPHQWDODULWKPHWLFSDSHU
SURFHGXUHV
DQGSHQFLODOJRULWKPVDQGPRGHOVDQG
FDOFXODWRUVWRVROYHSUREOHPVLQYROYLQJWKH
DGGLWLRQDQGVXEWUDFWLRQRI ZKROHQXPEHUV
DQGGHFLPDOVWKURXJKKXQGUHGWKVGHVFULEHWKH
VWUDWHJLHVXVHGDQGH[SODLQKRZWKH\ZRUN
0XOWLSOLFDWLRQDQG
GLYLVLRQIDFWV
*RDO 'HPRQVWUDWHDXWRPDWLFLW\ZLWKPXOWLSOLFDWLRQ
IDFWVWKURXJKDQGSURÀFLHQF\ZLWK
UHODWHGGLYLVLRQIDFWVXVHEDVLFIDFWVWR
FRPSXWHIDFWH[WHQVLRQVVXFKDV
0XOWLSOLFDWLRQDQG
GLYLVLRQSURFHGXUHV
*RDO 8VHPDQLSXODWLYHVPHQWDODULWKPHWLFSDSHU
DQGSHQFLODOJRULWKPVDQGPRGHOVDQG
FDOFXODWRUVWRVROYHSUREOHPVLQYROYLQJWKH
PXOWLSOLFDWLRQRI PXOWLGLJLWZKROHQXPEHUV
E\GLJLWZKROHQXPEHUVDQGWKHGLYLVLRQRI PXOWLGLJLWZKROHQXPEHUVE\GLJLWZKROH
QXPEHUVGHVFULEHWKHVWUDWHJLHVXVHGDQG
H[SODLQKRZWKH\ZRUN
3URFHGXUHVIRUDGGLWLRQ
DQGVXEWUDFWLRQRI IUDFWLRQV
*RDO 8VHPDQLSXODWLYHVPHQWDODULWKPHWLFDQG
FDOFXODWRUVWRVROYHSUREOHPVLQYROYLQJWKH
DGGLWLRQDQGVXEWUDFWLRQRI IUDFWLRQVDQG
PL[HGQXPEHUVGHVFULEHWKHVWUDWHJLHVXVHG
0DNH5HDVRQDEOH(VWLPDWHV
&RPSXWDWLRQDO
HVWLPDWLRQ
8QGHUVWDQG0HDQLQJVRI 2SHUDWLRQV
0RGHOVIRUWKHRSHUDWLRQV
*RDO 0DNHUHDVRQDEOHHVWLPDWHVIRUZKROHQXPEHU
DQGGHFLPDODGGLWLRQDQGVXEWUDFWLRQSUREOHPV
DQGZKROHQXPEHUPXOWLSOLFDWLRQDQGGLYLVLRQ
SUREOHPVH[SODLQKRZWKHHVWLPDWHVZHUH
REWDLQHG
*RDO 8VHUHSHDWHGDGGLWLRQVNLSFRXQWLQJDUUD\V
DUHDDQGVFDOLQJWRPRGHOPXOWLSOLFDWLRQDQG
GLYLVLRQ
2
Everyday Mathematics
S C H O O L M AT H E M AT I C S P R O J E C T
*UDGH*UDGH/HYHO*RDOV
&&66(',7,21
&RQWHQW6WUDQG'DWDDQG&KDQFH
3URJUDP*RDO
&RQWHQW7KUHDG *UDGH/HYHO*RDO
6HOHFWDQG&UHDWH$SSURSULDWH
*UDSKLFDO5HSUHVHQWDWLRQVRI &ROOHFWHGRU*LYHQ'DWD
'DWDFROOHFWLRQDQG
UHSUHVHQWDWLRQ
*RDO &ROOHFWDQGRUJDQL]HGDWDRUXVHJLYHQ
GDWDWRFUHDWHFKDUWVWDEOHVJUDSKV
DQGOLQHSORWV
$QDO\]HDQG,QWHUSUHW'DWD
'DWDDQDO\VLV
*RDO 8VHWKHPD[LPXPPLQLPXPUDQJH
PHGLDQPRGHDQGJUDSKVWRDVNDQG
DQVZHUTXHVWLRQVGUDZFRQFOXVLRQV
DQGPDNHSUHGLFWLRQV
8QGHUVWDQGDQG$SSO\%DVLF&RQFHSWV 4XDOLWDWLYHSUREDELOLW\
RI 3UREDELOLW\
4XDQWLWDWLYHSUREDELOLW\
*RDO 'HVFULEHHYHQWVXVLQJFHUWDLQYHU\
OLNHO\OLNHO\XQOLNHO\YHU\XQOLNHO\
LPSRVVLEOHDQGRWKHUEDVLFSUREDELOLW\
WHUPVXVHPRUHOLNHO\HTXDOO\OLNHO\
VDPHFKDQFHOHVVOLNHO\DQG
RWKHUEDVLFSUREDELOLW\WHUPVWR
FRPSDUHHYHQWVH[SODLQWKHFKRLFHRI ODQJXDJH
*RDO 3UHGLFWWKHRXWFRPHVRI H[SHULPHQWV
DQGWHVWWKHSUHGLFWLRQVXVLQJ
PDQLSXODWLYHVVXPPDUL]HWKHUHVXOWV
DQGXVHWKHPWRSUHGLFWIXWXUHHYHQWV
H[SUHVVWKHSUREDELOLW\RI DQHYHQWDV
DIUDFWLRQ
3
Everyday Mathematics
S C H O O L M AT H E M AT I C S P R O J E C T
*UDGH*UDGH/HYHO*RDOV
&&66(',7,21
&RQWHQW6WUDQG0HDVXUHPHQWDQG5HIHUHQFH)UDPHV
3URJUDP*RDO
&RQWHQW7KUHDG *UDGH/HYHO*RDO
8QGHUVWDQGWKH6\VWHPVDQG3URFHVVHV /HQJWKZHLJKWDQG
RI 0HDVXUHPHQW8VH$SSURSULDWH
DQJOHV
7HFKQLTXHV7RROV8QLWVDQG)RUPXODV
LQ0DNLQJ0HDVXUHPHQWV
*RDO (VWLPDWHOHQJWKZLWKDQGZLWKRXW
WRROVPHDVXUHOHQJWKWRWKHQHDUHVW
LQFKDQGFHQWLPHWHUXVHWRROV
WRPHDVXUHDQGGUDZDQJOHVHVWLPDWH
WKHVL]HRI DQJOHVZLWKRXWWRROV
$UHDSHULPHWHUYROXPH *RDO 'HVFULEHDQGXVHVWUDWHJLHVWRPHDVXUH
DQGFDSDFLW\
WKHSHULPHWHUDQGDUHDRI SRO\JRQVWR
HVWLPDWHWKHDUHDRI LUUHJXODUVKDSHV
DQGWRÀQGWKHYROXPHRI UHFWDQJXODU
SULVPV
8VHDQG8QGHUVWDQG5HIHUHQFH)UDPHV 8QLWVDQGV\VWHPVRI PHDVXUHPHQW
&RRUGLQDWHV\VWHPV
*RDO 'HVFULEHUHODWLRQVKLSVDPRQJ86
FXVWRPDU\XQLWVRI PHDVXUHDQG
DPRQJPHWULFXQLWVRI PHDVXUH
*RDO 8VHRUGHUHGSDLUVRI QXPEHUVWR
QDPHORFDWHDQGSORWSRLQWVLQWKH
ÀUVWTXDGUDQWRI DFRRUGLQDWHJULG
&RQWHQW6WUDQG*HRPHWU\
3URJUDP*RDO
&RQWHQW7KUHDG *UDGH/HYHO*RDO
,QYHVWLJDWH&KDUDFWHULVWLFVDQG
3URSHUWLHVRI 7ZRDQG7KUHH
'LPHQVLRQDO*HRPHWULF6KDSHV
/LQHVDQGDQJOHV
*RDO ,GHQWLI\GUDZDQGGHVFULEHSRLQWV
LQWHUVHFWLQJDQGSDUDOOHOOLQHVHJPHQWV
DQGOLQHVUD\VDQGULJKWDFXWHDQG
REWXVHDQJOHV
3ODQHDQGVROLGÀJXUHV
*RDO 'HVFULEHFRPSDUHDQGFODVVLI\SODQH
DQGVROLGÀJXUHVLQFOXGLQJSRO\JRQV
FLUFOHVVSKHUHVF\OLQGHUVUHFWDQJXODU
SULVPVFRQHVFXEHVDQGS\UDPLGV
XVLQJDSSURSULDWHJHRPHWULFWHUPV
LQFOXGLQJYHUWH[EDVHIDFHHGJHDQG
FRQJUXHQW
*RDO ,GHQWLI\GHVFULEHDQGVNHWFKH[DPSOHV
RI UHÁHFWLRQVLGHQWLI\DQGGHVFULEH
H[DPSOHVRI WUDQVODWLRQVDQGURWDWLRQV
$SSO\7UDQVIRUPDWLRQVDQG6\PPHWU\ 7UDQVIRUPDWLRQVDQG
LQ*HRPHWULF6LWXDWLRQV
V\PPHWU\
4
Everyday Mathematics
S C H O O L M AT H E M AT I C S P R O J E C T
*UDGH*UDGH/HYHO*RDOV
&&66(',7,21
&RQWHQW6WUDQG3DWWHUQV)XQFWLRQVDQG$OJHEUD
3URJUDP*RDO
&RQWHQW7KUHDG *UDGH/HYHO*RDO
8QGHUVWDQG3DWWHUQVDQG)XQFWLRQV
3DWWHUQVDQGIXQFWLRQV
*RDO ([WHQGGHVFULEHDQGFUHDWHQXPHULF
SDWWHUQVGHVFULEHUXOHVIRUSDWWHUQV
DQGXVHWKHPWRVROYHSUREOHPVXVH
ZRUGVDQGV\PEROVWRGHVFULEHDQG
ZULWHUXOHVIRUIXQFWLRQVWKDWLQYROYH
WKHIRXUEDVLFDULWKPHWLFRSHUDWLRQV
DQGXVHWKRVHUXOHVWRVROYHSUREOHPV
8VH$OJHEUDLF1RWDWLRQWR5HSUHVHQW
DQG$QDO\]H6LWXDWLRQVDQG6WUXFWXUHV
$OJHEUDLFQRWDWLRQDQG
VROYLQJQXPEHUVHQWHQFHV
*RDO 8VHFRQYHQWLRQDOQRWDWLRQWRZULWH
H[SUHVVLRQVDQGQXPEHUVHQWHQFHV
XVLQJWKHIRXUEDVLFDULWKPHWLF
RSHUDWLRQVGHWHUPLQHZKHWKHU
QXPEHUVHQWHQFHVDUHWUXHRUIDOVH
VROYHRSHQVHQWHQFHVDQGH[SODLQ
WKHVROXWLRQVZULWHH[SUHVVLRQVDQG
QXPEHUVHQWHQFHVWRPRGHOQXPEHU
VWRULHV
2UGHURI RSHUDWLRQV
*RDO (YDOXDWHQXPHULFH[SUHVVLRQV
FRQWDLQLQJJURXSLQJV\PEROVLQVHUW
JURXSLQJV\PEROVWRPDNHQXPEHU
VHQWHQFHVWUXH
3URSHUWLHVRI WKH
DULWKPHWLFRSHUDWLRQV
*RDO 'HVFULEHDQGDSSO\WKH'LVWULEXWLYH
3URSHUW\RI 0XOWLSOLFDWLRQRYHU
$GGLWLRQ
5