mec 2012_proposta de metas curriculares do ensino básico, matemática [versão final]

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    Do{ap @uwwh ubawopOmphmc Gph c

    Da{od{h`a

    Am{mhc Gh|aw" @awbcp Nwcppc" Lhbhyo Cbh|ohwa" Dawha @bodom{hma [hd{oc

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    Hm{wckuc Ynhma 1

    DO[AP @_WWH@_BAWOP KC OMPHMC GPH@C $ DA[OD[H@A

    C ywopom{o kc`udom{c kop wo|o c cmfum{c kap do{ap uwwh`ubawop ka khp hybhma ko Da{od{h`a quo cp

    abumcp ko|od a{hmnhw kuwam{o c Omphmc Gph c" {omkc$po ywh|hbonhakc cp obodom{cp oppom hahp quo `cmp{adkc Ywcnwada od |hncw- Cp cgfo{h|cp nowahp" `cdybo{akcp ycw kop`wh{cwop dahp ywo hpcp" om`cm{wad$pocwnamhvakcp od aka amc ko op`cbawhkako"ycw kcdmhcp o pugkcdmhcp" ponumkc a ponuhm{o op{wu{uwa6

    Kcdmhc

    Pugkcdmhc

    1- Cgfo{h|c nowab1- Kop`wh{cw7- Kop`wh{cw

    --

    Cp khlowom{op kop wh{cwop op{c wokhnhkcp ko lcwda cgfo{h|a o a|abh|ob" ko|omkc c ywcloppcw pobo hcmawuda op{wa{nha ko omphmc akoquaka wopyo{h|a `cm`wo{hvac- C phnmhlh akc ywo hpc ko `ow{cp |owgcp `cdquo po hmh had abnump kop`wh{cwop %pagow" wo`cmeo`ow" hkom{hlh aw" kophnmaw" ywc|aw"kodcmp{waw( lch akay{akc a `aka h bc" om`cm{wamkc$po uda kop`whc kc ywo{omkhkc oybh h{aka mcpyawnwalcp hm{h{ubakcp Boh{uwa kap do{ap uwwh ubawop- Od yaw{ h ubaw" ap { mh ap ko awnudom{ac o kokodcmp{wac" quo `cmp{h{uod a ywywha ma{uwova ka Da{od{h a" |c pomkc" ko lcwda ywcnwopph|a"woquowhkap a {ckcp cp abumcp-

    A yw{h a bo{h|a cgwhna" ma{uwabdom{o" od amcp ko op`cbawhkako ycp{owhcwop" a lwoquom{op wo|hpop kocgfo{h|cp nowahp o kop wh{cwop cwwopycmkom{op a amcp ko op cbawhkako am{owhcwop- Op{op yw$woquhph{cp mcpo om`cm{wad oybh h{akcp mc {o{c" ko|omkc c ywcloppcw hkom{hlh $bcp `cmpcam{o a mo`opphkako" ayow{hmm ha o ap `awa {owp{h ap ywywhap ko `aka nwuyc ko abumcp-

    Cp {odap {wamp|owpahp wolowhkcp mc Ywcnwada" `cdc a @cdumh ac cu c Wa hc mhc da{od{h c"wolowod$po a `aya hkakop op{wu{uwahp hmkhpyomp|ohp ac `udywhdom{c kcp cgfo{h|cp obom`akcp" op{amkc`cm{odybakcp mop{o kc udom{c ko lcwda oyb h{a cu hdyb h{a od {ckcp cp kop wh{cwop-

    Cy{cu$po ycw lcwdaw uda poqum ha ko cgfo{h|cp nowahp o ko kop`wh{cwop" kom{wc ko `aka pugkcdmhc"quo `cwwopycmko a uda ywcnwoppc ko omphmc akoquaka" yckomkc mc om{am{c cy{aw$po ycw ab{owma{h|ap

    `cowom{op quo `udywad cp dopdcp cgfo{h|cp o wopyo{h|cp kop`wh{cwop- Ohp{od od yaw{h ubaw abnudaphw`ump{m hap od quo po {cwma mo`oppwhc `udywhw ab{owmakadom{o kop`wh{cwop quo yow{om`od apugkcdmhcp cu dopdc a kcdmhcp khp{hm{cp: `cd oloh{c" a awwudac kcp {yh cp ycw kcdmhcp{od{h cp" o phdub{amoadom{o wopyoh{amkc kom{wc ko `aka kcdmhc uda ko{owdhmaka ywcnwoppc a hppcycko bo|aw" kaka a ywywha ma{uwova o hm{owbhnac kcp `cm{okcp o `aya hkakop da{od{h ap-

    Pow khpycmhghbhvakc acp ywcloppcwop ud `akowmc ko aychc p ywopom{op do{ap `uwwh ubawop `cm{omkcpuycw{op {owh cp acp cgfo{h|cp o kop`wh{cwop god `cdc oodybcp ko `cm`wo{hvac ko abnump kobop- Kcdopdc dckc" cp m|ohp ko kopodyomec opyowakcp powc" podywo quo ycpp|ob" cgfo{c ko opyo hlh ac ohm`buhwc c da{owhab a khpycmhghbhvaw gwo|odom{o-

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    1- `h`bc Ynhma 7

    1- h bc

    Mc 1- h bc cp kh|owpcp {odap od op{ukc pc hm{wckuvhkcp ko lcwda ywcnwopph|a" `cdoamkc$po ycwud {wa{adom{c oyowhdom{ab o `cm`wo{c o `adhmeamkc$po lapoakadom{o yawa uda `cm`oc dahpagp{wa{a o php{oda{hvaka kcp khlowom{op cm{okcp o ywc`okhdom{cp-

    Mc kcdmhc Mdowcp o Cyowaop pc aywopom{akap ap qua{wc cyowaop pcgwo cp mdowcp ma{uwahp"`ufa o{ompc acp mdowcp wa hcmahp mc mona{h|cp po hmh ha a yaw{hw kc 0 amc- lumkadom{ab quo cpabumcp akquhwad kuwam{o op{op amcp lbum ha ko `b ubc o kop{wova ma aybh ac kcp qua{wc abncwh{dcp"ywywhcp kc php{oda ko hdab" appc hakcp a op{ap cyowaop- Ma op`cbea kcp ywcgbodap ko|o a{omkow$po acmdowc ko yappcp mo oppwhcp p wopcbuop" audom{amkc$po a wopyo{h|a cdybohkako ac bcmnc kc h bc-

    Ap lwaop pc hm{wckuvhkap nocdo{wh adom{o a yaw{hw ka ko`cdycphc ko ud pondom{c ko wo{a odpondom{cp ko hnuab `cdywhdom{c- C pugpoquom{o {wa{adom{c kap lwaop" apphd `cdc a `cmp{wuc kcpmdowcp wa hcmahp ycph{h|cp quo obap woywopom{ad" ko|od pow olo{uakcp cd c ycpp|ob whncw o ko lcwda`uhkakcpa" nawam{hmkc$po" ycw oodybc" quo cp abumcp hm{owywo{od cwwo{adom{o ap kvhdap %lhmh{ap( cdc

    uda dowa woywopom{ac ko ud {hyc duh{c yaw{h ubaw ko lwaop" a quo mc ko|od wo`cwwowphp{oda{h adom{o podywo quo ywo{omkowod olo{uaw `b ubcp- Mcdoakadom{o" a hm{wckuc mc lhmab kch bc kcp abncwh{dcp nowahp ka dub{hybh ac o kh|hpc ko mdowcp woywopom{akcp ma lcwda ko kvhda mc

    ko|o abhomaw c phnmhlh akc kap khlowom{op cyowaop kc ycm{c ko |hp{a kap lwaop" ap quahp `cmp{h{uod cdckc gph c akc{akc yawa kolhmhw o woywopom{aw mdowcp wa hcmahp ycph{h|cp omquam{c dokhkap konwamkovap- A hmh hac ac op{ukc kap lwaop `cmp{h{uh ud {oda `ea|o kc ywopom{o h bc" ko|omkcywc`uwaw$po quo cp abumcp apphdhbod pcbhkadom{o cp khlowom{op apyo{cp woba hcmakcp `cd op{a {od{h a-

    Pc aywopom{akap ap mcop gph ap ka Nocdo{wha" `cdoamkc$po yobc wo`cmeo hdom{c |hpuab kocgfo{cp o `cm`oh{cp obodom{awop `cdc ycm{cp" `cbhmoawhkako ko ycm{cp" khwoop" wo{ap" podhwwo{ap o

    pondom{cp ko wo{a" yawabobhpdc o yowyomkh ubawhkako" a yaw{hw kcp quahp po `cmp{wcod cgfo{cp dahp`cdybocp `cdc ycbncmcp" hw`umlowm hap" pbhkcp cu mnubcp- Ycw cu{wc bakc" a hnuabkako ko khp{m hapom{wo yawop ko ycm{cp" cg{hka ywhdh{h|adom{o ycw kopbc`adom{cp ko cgfo{cp wnhkcp `cd kchp ycm{cpmobop lhakcp" ywophko acp ywhm yhcp nomwh cp quo apphp{od p cyowaop ko dokhc ko `cdywhdom{cp`cmkuvhmkc ac `cm`oh{c ko lwac o ycp{owhcwdom{o dokhc ko cu{wap nwamkovap- A hnuabkako komnubcp aywopom{aka" hmh habdom{o" ycw kopbc`adom{cp wnhkcp ko {wp ycm{cp bo|amkc mcc kohnuabkako ko adybh{uko" appc hamkc$po a op{o ywhm`yhc ud hdycw{am{o `wh{whc nocd{wh c yw{h c ko`cmnwum ha ko mnubcp" gapoakc od hnuabkako om{wo pondom{cp ko wo{a" quo pow|hw ko lumkadom{c acop{ukc ka dokhka ko adybh{uko ko mnubcp mcp h bcp ycp{owhcwop-

    Mc kcdmhc Cwnamhvac o [wa{adom{c ko Kakcp kaka mlapo a kh|owpcp ywc`oppcp o do{ckcbcnhapquo yowdh{od woyow{cwhaw o hm{owywo{aw hmlcwdac wo`cbehka od `cm{o{cp |awhakcp" aywc|oh{amkc$poyawa lcwmo`ow abnud |c`agubwhc gph c ka [ocwha kcp @cmfum{cp" mo`oppwhc `cdywoompc kcpywc`okhdom{cp olo{uakcp- Mc 0- amc aywopom{aka a mcc ko lwoqum ha agpcbu{a o" mc ;- amc" a kolwoqum ha woba{h|a god `cdc a woywopom{ac ko mdowcp wa hcmahp pcg lcwda ko yow`om{anod- Apquop{op woba{h|ap a ywc`oppcp aboa{whcp lcwad ywcycph{akadom{o kohakap ko bakc ycw po om{omkow quoaywopom{ad ud nwau ko cdybohkako kodaphakc obo|akc yawa op{o m|ob ko omphmc" ycw lab{a ko wh{whcppulh hom{odom{o phdybop quo `cmkuvad cp abumcp a u{hbhvaw akoquakadom{o a bhmnuanod appc haka hm{owywo{ac kcp lomdomcp wonhkcp yobc a`apc-

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    1- `h`bc Ynhma 0

    Boh{uwa kap Do{ap @uwwh ubawop kc 1- h bc

    Hkom{hlh aw" kophnmaw6 C abumc ko|o u{hbhvaw `cwwo{adom{o a kophnmac wolowhka" mc po ohnhmkc"mop{o h bc" quo omum ho lcwdabdom{o ap kolhmhop hmkh akap" dap am{op quo wo`cmeoa cp khlowom{opcgfo{cp o `cm`oh{cp od oodybcp `cm`wo{cp" kopomecp" o{ -

    Wo cmeo ow6 Mop{o h bc ywo{omko$po quo c abumc wo`cmeoa hm{uh{h|adom{o a |owa hkako kc omum hakcod aupa od oodybcp cm`wo{cp- Od apcp duh{c phdybop" yckow aywopom{aw awnudom{cp quo om|cb|adcu{wcp wopub{akcp f op{ukakcp o quo oybhquod a |abhkako kc omum hakc-

    Pagow6 Ywo{omko$po quo c abumc `cmeoa c wopub{akc" dap pod quo beo pofa ohnhka quabquowfup{hlh`ac cu |owhlh`ac cm wo{a-

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    MC1 Ynhma ;

    1AMCMdowcp o Cyowaop MC1

    Mdowcp ma{uwahp

    1- @cm{aw a{ od1- \owhlh aw quo kchp `cmfum{cp {d c dopdc mdowc ko obodom{cp cu ko{owdhmaw quab kcp kchp

    dahp mudowcpc u{hbhvamkc `cwwopycmkm hap ud a ud-7- Pagow ko dodwha a poqum ha kcp mcdop kcp mdowcp ma{uwahp a{ |hm{o o u{hbhvaw `cwwo{adom{o

    cp mudowahp kc php{oda ko hdab yawa cp woywopom{aw-0- @cm{aw a{ |hm{o cgfo{cp o wo`cmeo`ow quo c wopub{akc lhmab mc koyomko ka cwkod ko `cm{anod

    op`cbehka-;- Appc haw yoba `cm{anod khlowom{op `cmfum{cp ac dopdc mdowc ma{uwab" c `cmfum{c |avhc ac

    mdowc vowc o wo`cmeo`ow quo ud `cmfum{c {od domcw mdowc ko obodom{cp quo cu{wc po cwopub{akc ka `cm{anod kc ywhdohwc lcw am{owhcw" ma cwkod ma{uwab" ac wopub{akc ka `cm{anod kcponumkc-

    ?- Olo{uaw `cm{anomp ywcnwopph|ap o wonwopph|ap om|cb|omkc mdowcp a{ |hm{o" o" muda lapoycp{owhcw" a{ `od-

    Php{oda ko mudowac ko hdab

    7- Kop ckhlh aw c php{oda ko mudowac ko hdab1- Kophnmaw kov umhkakop ycw uda kovoma o wo`cmeo`ow quo ma woywopom{ac 19 c abnawhpdc 1

    po om`cm{wa muda mc|a ycphc daw`aka yoba cbc`ac kc 9-7- Pagow quo cp mdowcp ma{uwahp om{wo 11 o 18 pc `cdycp{cp ycw uda kovoma o uda" kuap" {wp"

    qua{wc" hm`c" pohp" po{o" ch{c cu mc|o umhkakop-0- Bow o woywopom{aw quabquow mdowc ma{uwab a{ 199" hkom{hlh amkc c |abcw ycph hcmab kcp abnawhpdcp

    quo c cdyod-;- @cdyawaw mdowcp ma{uwahp a{ 199 {hwamkc yaw{hkc kc |abcw ycph hcmab kcp abnawhpdcp o u{hbhvaw

    `cwwo{adom{o cp pdgcbcp 2 o =-

    Akhc

    0- Akh hcmaw mdowcp ma{uwahp1- Pagow quo c pu`oppcw ko ud mdowc ma cwkod ma{uwab hnuab a oppo mdowc dahp 1-7- Olo{uaw akhop om|cb|omkc mdowcp ma{uwahp a{ 79" ycw damhyubac ko cgfo{cp cu wo`cwwomkc a

    kopomecp o opquodap-0- Wo`cmeo ow quo a pcda ko quabquow mdowc cd vowc hnuab a oppo mdowc-;- _{hbhvaw cwwo{adom{o cp pdgcbcp * o 4-?- Akh hcmaw lbuom{odom{o kchp mdowcp ko ud abnawhpdc-- Ko`cdycw ud mdowc ma{uwab a{ 79 od pcdap ko kchp cu dahp mdowcp ko ud abnawhpdc-

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    MC1 Ynhma ?

    5- Akh hcmaw dom{abdom{o ud mdowcko kchp abnawhpdcp `cd ud mdowc ko ud abnawhpdc o udmdowc ko kchp abnawhpdcp `cd ud mdowcko kchp abnawhpdcp {owdhmakc od 9" mcp `apcp od quoa pcda hmlowhcw a 199-

    8- Akh hcmaw kchp quahpquow mdowcp ma{uwahp ufa pcda pofa hmlowhcw a 199" akh hcmamkc kovomap cdkovomap" umhkakop `cd umhkakop `cd `cdycphc ko kov umhkakop od uda kovoma quamkc

    mo oppwhc" o ywh|hbonhamkc a woywopom{ac |ow{ h ab kc `b ubc-

    ;- Wopcb|ow ywcgbodap1- Wopcb|ow ywcgbodap ko ud yappc om|cb|omkc ph{uaop ko fum{aw cu a`wop`om{aw-

    Pug{wac

    ?- Pug{wahw mdowcp ma{uwahp1- Olo{uaw pug{waop om|cb|omkc mdowcp ma{uwahp a{ 79 ycw damhyubac ko cgfo{cp cu wo cwwomkc

    a kopomecp o opquodap-7- _{hbhvaw cwwo{adom{o c pdgcbc o cp {owdcp akh{h|c o pug{wa{h|c-0- Woba hcmaw a pug{wac cd a akhc" hkom{hlh`amkc a khlowoma om{wo kchp mdowcp cdc c mdowc

    quo po ko|o akh hcmaw ac pug{wa{h|c yawa cg{ow c akh{h|c-;- Olo{uaw a pug{wac ko kchp mdowcp ycw `cm{anomp ywcnwopph|ap cu wonwopph|ap ko" mc dhdc"

    mc|o umhkakop-?- Pug{wahw ko ud mdowc ma{uwab a{ 199 ud kakc mdowc ko kovomap-

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    ND1 Ynhma - Woywopom{aw {whmnubcp o" od nwobea quakwh ubaka" wo{mnubcp o quakwakcp-5- Hkom{hl h aw ugcp" yawaboboyyokcp wo{mnubcp" hb hmkwcp o oplowap-

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    ND1 Ynhma >

    Dokhka

    0- Dokhw khp{m hap o cdywhdom{cp1- _{hbhvaw ud cgfo{c wnhkc `cd kchp ycm{cp mobo lhakcp yawa dokhw khp{m hap o `cdywhdom{cp quo

    ycppad pow oywoppcp `cdc mdowcpma{uwahpo u{hbhvaw `cwwo{adom{o mop{o `cm{o{c a oywoppc

    umhkako ko cdywhdom{c-7- Wo`cmeo`ow quo a dokhka ka khp{m ha om{wo kchp ycm{cp o ycw{am{c a dokhka kc `cdywhdom{c kcpondom{c ko wo{a ycw obop ko{owdhmakc koyomko ka umhkako ko cdywhdom{c-

    0- Olo{uaw dokhop wolowhmkc a umhkako ko cdywhdom{c u{hbhvaka-;- @cdyawaw khp{m hap o `cdywhdom{cp u{hbhvamkc ap wopyo{h|ap dokhkap" lhaka uda dopda umhkako

    ko `cdywhdom{c-

    ;- Dokhw woap1- Wo`cmeo`ow" mud quakwh ubakc" lhnuwap oquhko`cdycm|ohp-7- Wo`cmeo`ow quo kuap lhnuwap oquhko`cdycm|ohp {d a dopda woa o kophnm$bap ycw lhnuwap

    oquh|abom{op-0- @cdyawaw woap ko lhnuwap ycw pcgwoycphc" ko`cdycmkc$ap ywo|hadom{o po mo`oppwhc-

    ?- Dokhw c {odyc1- _{hbhvaw `cwwo{adom{o c |c`agubwhc ywywhc kap wobaop {odycwahp-7- Wo`cmeo`ow c `aw{ow ` bh c ko ko{owdhmakcp lomdomcp ma{uwahp o u{hbhv$bcp yawa `cm{aw c

    {odyc-0- _{hbhvaw o woba`hcmaw cwwo{adom{o cp {owdcpkha" podama" dpo amc-;- @cmeo`ow c mcdo kcp khap ka podama o kcp dopop kc amc-

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    C[K1 Ynhma 5

    Cwnamhvac o {wa{adom{c ko kakcp C[K1

    Woywopom{ac ko kakcp

    1- Wo cbeow o woywopom{aw cmfum{cp ko kakcp1- Bow nwlh cp ko ycm{cp o yh {cnwadap od quo `aka lhnuwa woywopom{a uda umhkako-7- Wo`cbeow o wonhp{aw kakcp u{hbhvamkc nwlh cp ko ycm{cp o yh {cnwadap od quo `aka lhnuwa

    woywopom{a uda umhkako-0- _{hbhvaw `cwwo{adom{o cp {owdcp `cmfum{c" obodom{c o ap oywoppop yow{om`o" mc

    yow{om o o `awkhmab-;- Woywopom{aw nwalh`adom{o `cmfum{cp khpfum{cp o cp wopyo{h|cp obodom{cp-?- @bapphl h aw cgfo{cp ko a cwkc cd ud cu kchp wh{whcp-

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    MC7 Ynhma 8

    7AMCMdowcp o Cyowaop MC7

    Mdowcp ma{uwahp

    1- @cmeo ow cp mudowahp cwkhmahp1- _{hbhvaw cwwo{adom{o cp mudowahp cwkhmahp a{ |hnphdc-

    7- @cm{aw a{ dhb1- Op{omkow ap wonwap ko cmp{wuc kcp mudowahp a{ dhb-7- Olo{uaw cm{anomp ko 7 od7" ko ? od?" ko 19 od19 o ko 199 od199-

    0- Wo`cmeo`ow a yawhkako1- Khp{hmnuhw cp mdowcp yawop kcp mdowcp dyawop u{hbhvamkc cgfo{cp cu kopomecp o olo{uamkc

    odyawobeadom{cp-7- Hkom{hl h aw ud mdowc yaw cdc uda pcda ko yaw`obap hnuahp a7-0- Wo`cmeo`ow a yawhkako ko ud mdowc a{wa|p kc abnawhpdc kap umhkakop-

    Php{oda ko mudowac ko hdab

    ;- Kop ckhlh aw c php{oda ko mudowac ko hdab1- Kophnmaw od umhkakop ycw uda om{oma o wo`cmeo`ow quo uda om{oma hnuab a kov kovomap-7- Bow o woywopom{aw quabquow mdowc ma{uwab a{ 1999 " hkom{hlh`amkc c |abcw ycph`hcmab kcp

    abnawhpdcp quo c cdyod-0- @cdyawaw mdowcp ma{uwahp a{ 1999 u{hbhvamkc cp pdgcbcp 2 o =-

    Akhc o Pug{wac

    ?- Akh hcmaw o pug{wahw mdowcp ma{uwahp1- Pagow ko dodwha a pcda ko kchp quahpquow mdowcp ko ud abnawhpdc-7- Pug{wahw lbuom{odom{o mdowcp ma{uwahp a{ 79-0- Akh`hcmaw cu pug{wahw dom{abdom{o 19 o 199 ko ud mdowc `cd {wp abnawhpdcp-;- Akh hcmaw kchp cu dahp mdowcp ma{uwahp `ufa pcda pofa hmlowhcw a 1999 " ywh|hbonhamkc a

    woywopom{ac |ow{ h ab kc `b ubc-?- Pug{wahw kchp mdowcp ma{uwahp a{ 1999" ywh|hbonhamkc a woywopom{ac |ow{h ab kc b ubc-

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    MC7 Ynhma 19

    Dub{hybh ac

    >- Dub{ hybh aw mdowcp ma{uwahp1- Olo{uaw dub{hybh aop akh hcmamkc yaw`obap hnuahp" om|cb|omkc mdowcp ma{uwahp a{ 19" ycw

    damhyubac ko cgfo{cp cu wo`cwwomkc a kopomecp o opquodap-

    7-_{hbhvaw cwwo{adom{o c pdgcbc -0- Olo{uaw uda kaka dub{hybh ac lhamkc kchp `cmfum{cp khpfum{cp o `cm{amkc c mdowc ko yawopquo po yckod lcwdaw `cd ud obodom{c ko `aka" ycw damhyubac ko cgfo{cp cu wo`cwwomkc akopomecp o opquodap-

    ;- Wo`cmeo`ow quo c ywcku{c ko quabquow mdowc ycw 1 hnuab a oppo mdowc o quo c ywcku{c koquabquow mdowc ycw 9 hnuab a9-

    ?- @cm{aw c mdowc ko cgfo{cp `cbc`akcp muda dabea wo{amnubaw |owhlh amkc quo hnuab ac ywcku{c"ycw quabquow cwkod" kc mdowc ko bhmeap yobc mdowc ko cbumap-

    - @cmp{wuhw o pagow ko dodwha ap {aguakap kc 7" kc 0" kc ;" kc ?" kc < o kc 19-5- _{hbhvaw akoquakadom{o cp {owdcpkcgwc" {whybc" qukwuybco qum{uybc-

    5- Wopcb|ow ywcgbodap1- Wopcb|ow ywcgbodap ko ud cu kchp yappcp om|cb|omkc ph{uaop dub{hybh a{h|ap mcp pom{hkcp akh{h|c

    o cdghma{whc-

    Kh|hpc hm{ohwa

    8- Olo{uaw kh|hpop oa{ap ko mdowcp ma{uwahp1- Olo{uaw kh|hpop oa{ap om|cb|omkc kh|hpcwop a{ 19 o kh|hkomkcp a{ 79 ycw damhyubac ko

    cgfo{cp cu wo`cwwomkc a kopomecp o opquodap-7- _{hbhvaw cwwo{adom{o c pdgcbc 6-0- Woba hcmaw a kh|hpc `cd a dub{hybh ac" pagomkc quo c quc hom{o c mdowc quo po ko|o

    dub{hybh`aw yobc kh|hpcw yawa cg{ow c kh|hkomkc-;- Olo{uaw kh|hpop oa{ap u{hbhvamkc ap {aguakap ko dub{hybh ac f `cmeo hkap-?- _{hbhvaw akoquakadom{o cp {owdcp do{ako" {owa yaw{o" quaw{a yaw{oo quhm{a yaw{o" woba hcmamkc$

    cp wopyo{h|adom{o cd c kcgwc" c {whybc" c qukwuybco c qum{uybc-

  • 7/31/2019 mec 2012_proposta de metas curriculares do ensino bsico, matemtica [verso final]

    12/89

    MC7 Ynhma 11

    0- _{hbhvaw ap lwaop " " " " " o yawa wolowhw `aka uda kap yaw{op ko ud {ckckh|hkhkc wopyo{h|adom{o od kuap" {wp" qua{wc" hm`c" kov" od o dhb yaw{op oquh|abom{op-

    Poqum hap o wonubawhkakop

    11-Wopcb|ow ywcgbodap1- Wopcb|ow ywcgbodap om|cb|omkc a ko{owdhmac ko {owdcp ko uda poqum ha" kaka a boh ko

    lcwdac-7- Wopcb|ow ywcgbodap om|cb|omkc a ko{owdhmac ko uda boh ko lcwdac `cdya{|ob `cd uda

    poqum ha yaw habdom{o `cmeo hka-

  • 7/31/2019 mec 2012_proposta de metas curriculares do ensino bsico, matemtica [verso final]

    13/89

    ND7 Ynhma 17

    Nocdo{wha o Dokhka ND7

    Bc`abhvac o cwhom{ac mc opyac

    1- Ph{uaw$po o ph{uaw cgfo{cp mc opyac1- Hkom{hlh aw a khwoc ko ud cgfo{c cu ko ud ycm{c %woba{h|adom{o a quod cgpow|a( `cdc c

    `cmfum{c kap ycphop ph{uakap lwom{o o ycw ko{wp koppo cgfo{c cu koppo ycm{c-7- _{hbhvaw `cwwo{adom{o cp {owdcp |cb{a hm{ohwa" doha |cb{a" quaw{c ko |cb{a" |hwaw khwoh{ao |hwaw

    opquowkakc ycm{c ko |hp{a ko ud cgpow|akcw o woba hcm$bcp `cd yawop ko khwoop-0- Hkom{hlh aw muda nwobea quakwh ubaka ycm{cp oquhkhp{am{op ko ud kakc ycm{c-;- Woywopom{aw muda nwobea quakwh`ubaka h{ hmowwhcp hm buhmkc dukamap ko khwoc o hkom{hl h amkc cp

    quaw{cp ko |cb{a yawa a khwoh{a o yawa a opquowka-

    Lhnuwap nocd{wh ap

    7- Wo cmeo ow o woywopom{aw lcwdapnocd{wh`ap1- Hkom{hlh aw a podhwwo{a `cd cwhnod od o quo yappa mc ycm{c `cdc a lhnuwa

    nocd{wh a cmp{h{uka yobcp ycm{cp quo op{c ma khwoc ko woba{h|adom{o a-7- Hkom{hlh aw a wo{a ko{owdhmaka ycw kchp ycm{cp `cdc c `cmfum{c kcp ycm{cp `cd obop abhmeakcp o

    u{hb hvaw cwwo{adom{o ap oywoppop podhwwo{ap cycp{ap o wo{a puycw{o ko uda podhwwo{a-0- Khp{hmnuhw bhmeap ycbhncmahp ko bhmeap mc ycbhncmahp o ycbncmcp ko lhnuwap ybamap mc ycbhncmahp-;- Hkom{hlh aw od kopomecp ap yaw{op hm{owma o o{owma ko bhmeap ybamap lo`eakap o u{hbhvaw c {owdc

    lwcm{ohwa yawa kophnmaw ap bhmeap-?- Hkom{hl h aw o woywopom{aw {whmnubcp hpp obop o oquhb{owcp" wo`cmeo omkc cp ponumkcp cdc apcp

    yaw{h ubawop kcp ywhdohwcp-- Hkom{hlh aw o woywopom{aw quakwhb{owcp o wo`cmeo`ow cp bcpamncp o wo{mnubcp `cdc `apcp

    yaw{h ubawop ko quakwhb{owcp-5- Hkom{hl h aw o woywopom{aw yom{ncmcp o eoncmcp-8- Hkom{hlh`aw yhwdhkop o `cmop" khp{hmnuhw ycbhokwcp ko cu{wcp pbhkcp o u{hbhvaw `cwwo{adom{o cp

    {owdcp |w{h o" awop{a o la o-

    19-

    Hkom{hl h aw l hnuwap nocd{wh ap muda cdycphc o olo{uaw `cdycphop ko lhnuwap nocd{wh`ap-11- Khp{hmnuhw a{whgu{cp mc nocd{wh cp ko a{whgu{cp nocd{wh cp ko ud kakc cgfo{c-17- @cdybo{aw lhnuwap ybamap ko dckc quo lhquod phd{wh ap woba{h|adom{o a ud ohc ywo|hadom{o

    lhakc" u{hb hvamkc kcgwanomp" yayob |ono{ab" o{`-

    Dokhka

    0- Dokhw khp{m hap o cdywhdom{cp1- Wo`cmeo`ow quo lhaka uda umhkako ko `cdywhdom{c mod podywo ycpp|ob dokhw uda kaka

    khp{m ha oa{adom{o `cdc ud mdowc ma{uwab o u{hbhvaw `cwwo{adom{o ap oywoppop doko

    dahp#domcp kc quo ud ow{c mdowc ko umhkakop-

  • 7/31/2019 mec 2012_proposta de metas curriculares do ensino bsico, matemtica [verso final]

    14/89

    ND7 Ynhma 10

    7- Kophnmaw pugumhkakop ko `cdywhdom{c wopub{am{op ka kh|hpc ko uda kaka umhkako ko`cdywhdom{c od kuap" {wp" qua{wc" hm`c" kov" `od cu dhb yaw{op hnuahp wopyo{h|adom{o ycw uddohc" ud {owc" ud quaw{c" ud quhm{c" ud k hdc" ud `om{phdc cu ud dhbphdcka umhkako-

    0- Wo cmeo ow c ko do{wc" c om{do{wc o c dhbdo{wc wopyo{h|adom{o cdc a k hda" a om{phda oa dhbphda yaw{o kc do{wc o olo{uaw dokhop u{hb hvamkc op{ap umhkakop-

    ;- Hkom{hlh aw c yowdo{wc ko ud ycbncmc `cdc a pcda kap dokhkap kcp `cdywhdom{cp kcp bakcp"lhaka uda umhkako-

    ;- Dokhw woap1- Dokhw woap ko lhnuwap olo{uamkc ko`cdycphop od yaw{op nocdo{wh adom{o hnuahp {cdakap

    `cdc umhkako ko woa-7- @cdyawaw woap ko lhnuwap u{hbhvamkc ap wopyo{h|ap dokhkap" lhaka uda dopda umhkako ko woa-

    ?-Dokhw |cbudop o aya hkakop1- Wo`cmeo ow lhnuwap oquhko`cdycm|ohp od cmp{wuop cd ugcp ko awop{ap hnuahp-7- Wo`cmeo`ow quo kchp cgfo{cp oquhko`cdycm|ohp {d c dopdc |cbudo-0- Dokhw |cbudop ko `cmp{wuop olo{uamkc ko`cdycphop od yaw{op nocdo{wh adom{o hnuahp

    {cdakap `cdc umhkako ko |cbudo-;- _{hbhvaw a {wamplowm ha ko bquhkcp yawa cwkomaw a aya hkako ko kchp wo hyhom{op-?- Dokhw `aya hkakop" lhakc ud wo hyhom{o cdc umhkako ko |cbudo-- @cdyawaw |cbudop ko cgfo{cp hdownhmkc$cp od bquhkc `cm{hkc mud wo hyhom{o" ycw `cdyawac

    kcp m|ohp a{hmnhkcp yobc bquhkc-

    - Dokhw c {odyc1- Olo{uaw dokhop kc {odyc u{hbhvamkc hmp{wudom{cp aywcywhakcp-7- Wo`cmeo`ow a ecwa cdc umhkako ko dokhka ko {odyc o woba hcm$ba cd c kha-0- Bow o op`wo|ow a dokhka ko {odyc aywopom{aka mud wobnhc ko ycm{ohwcp" od ecwap" dohap ecwap o

    quaw{cp ko ecwa-;- Bow o hm{owywo{aw abomkwhcp o ecwwhcp-

    5- @cm{aw khmeohwc1- Bow o op`wo|ow quam{hap ko khmeohwc ko`cdycp{ap od ouwcp o `m{hdcp om|cb|omkc mdowcp a{

    1999-7- Olo{uaw cm{anomp ko quam{hap ko khmeohwc om|cb|omkc mdowcp a{ 1999-

    8- Wopcb|ow ywcgbodap1- Wopcb|ow ywcgbodap ko ud cu kchp yappcp om|cb|omkc dokhkap ko khlowom{op nwamkovap-

  • 7/31/2019 mec 2012_proposta de metas curriculares do ensino bsico, matemtica [verso final]

    15/89

    C[K7 Ynhma 1;

    Cwnamhvac o {wa{adom{c ko kakcp C[K7

    Woywopom{ac ko kakcp

    1- Wo cbeow o woywopom{aw cmfum{cp ko kakcp1- Bow {agobap ko lwoqum hap agpcbu{ap" nwlh cp ko ycm{cp o yh {cnwadap od khlowom{op op`abap-7- Wo`cbeow kakcp u{hbhvamkc khanwadap ko `cm{anod %{abbx `eaw{p( o woywopom{$bcp od {agobap ko

    lwoqum hap agpcbu{ap-0- Woywopom{aw kakcp a{wa|p ko nwlh cp ko ycm{cp o ko yh {cnwadap-

    7- Hm{owywo{aw woywopom{aop ko cmfum{cp ko kakcp1- Wo{hwaw hmlcwdac ko khanwadap ko `cm{anod" nwlh cp ko ycm{cp o yh {cnwadap hkom{hlh amkc a

    `awa {owp{h a od op{ukc o `cdyawamkc cp |abcwop kap lwoqum hap kap |whap `a{oncwhap

    cgpow|akap-7- Cwnamhvaw cmfum{cp ko kakcp od khanwadap ko @awwcbb-0- Hkom{hl h aw a woumhc o a hm{owpoc ko kchp cmfum{cp-;- @cmp{wuhw o hm{owywo{aw khanwadap ko \omm-?- @cmp{wuhw o hm{owywo{aw nwlh cp ko gawwap-

  • 7/31/2019 mec 2012_proposta de metas curriculares do ensino bsico, matemtica [verso final]

    16/89

    MC0 Ynhma 1?

    0AMCMdowcp o Cyowaop MC0

    Mdowcp ma{uwahp

    1- @cmeo ow cp mudowahp cwkhmahp1- _{hbhvaw cwwo{adom{o cp mudowahp cwkhmahp a{ `om{phdc-

    7- @cm{aw a{ ud dhbec1- Op{omkow ap wonwap ko cmp{wuc kcp mudowahp a{ ud dhbec-7- Olo{uaw `cm{anomp ywcnwopph|ap o wonwopph|ap" `cd pab{cp lhcp" quo ycppad {hwaw yaw{hkc kap wonwap

    ko cmp{wuc kcp mudowahp a{ ud dhbec-

    0- @cmeo`ow a mudowac wcdama1- @cmeo ow o u{ hb hvaw cwwo{adom{o cp mudowahp wcdamcp-

    Php{oda ko mudowac ko hdab

    ;- Kop ckhlh aw c php{oda ko mudowac ko hdab1- Kophnmaw dhb umhkakop ycw ud dhbeaw o wo`cmeo`ow quo ud dhbeaw hnuab a kov `om{omap o a `od

    kovomap-7- Woywopom{aw quabquow mdowc ma{uwab a{ 1-999-999 " hkom{hlh`amkc c |abcw ycph`hcmab kcp

    abnawhpdcp quo c `cdyod o olo{uaw a boh{uwa ycw bappop o ycw cwkomp-0- @cdyawaw mdowcp ma{uwahp a{ 1-999-999 u{hbhvamkc cp pdgcbcp 2 o =-;- Olo{uaw a ko cdycphc ko hdab ko quabquow mdowc ma{uwab a{ ud dhbec-?- Awwokcmkaw ud mdowc ma{uwab kovoma" om{oma" ac dhbeaw" kovoma ko dhbeaw cu om{oma ko

    dhbeaw dahp ywhda" u{hbhvamkc c |abcw ycph hcmab kcp abnawhpdcp-

    Akhc o pug{wac

    ?- Akh hcmaw o pug{wahw mdowcp ma{uwahp1- Akh hcmaw kchp mdowcp ma{uwahp `ufa pcda pofa hmlowhcw a 1-999-999" u{hbhvamkc c abncwh{dc ka

    akhc-7- Pug{wahw kchp mdowcp ma{uwahp a{ 1-999-999" u{hbhvamkc c abncwh{dc ka pug{wac-0- Wopcb|ow ywcgbodap ko a{ {wp yappcp om|cb|omkc ph{uaop ko fum{aw" a`wop`om{aw" wo{hwaw o

    `cdyawaw-

    Dub{hybh ac

    " kc 5 o kc 8-

  • 7/31/2019 mec 2012_proposta de metas curriculares do ensino bsico, matemtica [verso final]

    17/89

    MC0 Ynhma 1- Dub{hybh aw kchp mdowcp ko kchp abnawhpdcp" ko`cdycmkc ud kobop od kovomap o umhkakop"u{hbhvamkc a ywcywhokako khp{whgu{h|a o `cdybo{amkc c `b ubc `cd wo`uwpc khpycphc upuab kcabncwh{dc-

    5- Dub{hybh`aw quahpquow kchp mdowcp `ufc ywcku{c pofa hmlowhcw a ud dhbec" u{hbhvamkc c abncwh{dcka dub{hybh ac-

    8- Wo`cmeo`ow cp db{hybcp ko 7" ? o 19 ycw hmpyoc kc abnawhpdc kap umhkakop->- Wopcb|ow ywcgbodap

    1- Wopcb|ow ywcgbodap ko a{ { wp yappcp om|cb|omkc ph{uaop dub{hybh a{h|ap mcp pom{hkcp akh{ h|c o`cdghma{whc-

    Kh|hpc

    5- Olo{uaw kh|hpop hm{ohwap1- Olo{uaw kh|hpop hm{ohwap hkom{hlh amkc c quc hom{o o c wop{c quamkc c kh|hpcw o c quc hom{o pc

    mdowcp ma{uwahp hmlowhcwop a 19" ycw damhyubac ko cgfo{cp cu wo`cwwomkc a kopomecp oopquodap-

    7- Wo cmeo ow quo c kh|hkomkc hnuab pcda kc wop{c cd c ywcku{c kc quc hom{o yobc kh|hpcw o quoc wop{c hmlowhcw ac kh|hpcw-

    0- Olo{uaw kh|hpop hm{ohwap `cd kh|hpcw o quc hom{o hmlowhcwop a 19 u{hbhvamkc a {aguaka kc kh|hpcw oaywopom{aw c wopub{akc cd a khpycphc upuab kc abncwh{dc-

    ;- _{hbhvaw `cwwo{adom{o ap oywoppop kh|hpcw ko o kh|hp|ob ycw o wo`cmeo`ow quo ud mdowcma{uwab kh|hpcw ko cu{wc po c ponumkc lcw db{hybc kc ywhdohwc %o |h o$|owpa(-

    ?-Wo`cmeo`ow quo ud mdowc ma{uwab kh|hpcw ko cu{wc po c wop{c ka kh|hpc kc ponumkc yobcywhdohwc lcw hnuab a vowc-

  • 7/31/2019 mec 2012_proposta de metas curriculares do ensino bsico, matemtica [verso final]

    18/89

    MC0 Ynhma 1>

    7- Lhaw ud pondom{c ko wo{a `cdc umhkako o hkom{hlh aw uda lwac %pomkc o mdowcpma{uwahp( `cdc ud mdowc" hnuab dokhka kc `cdywhdom{c ko ud pondom{c ko wo{a cg{hkc ycwfup{aycphc wo{hbmoa" o{wodc a o{wodc" ko pondom{cp ko wo{a `cd `cdywhdom{cp hnuahpdokhmkc

    -

    0- _{hbhvaw `cwwo{adom{o cp {owdcp mudowakcw o komcdhmakcw-;- _{hbhvaw `cwwo{adom{o cp mudowahp lwa hcmwhcp-?- _{hbhvaw ap lwaop yawa kophnmaw nwamkovap lcwdakap ycw `ow{c mdowc ko yaw{op oquh|abom{op a

    uda quo wopub{o ko kh|hpc oquh{a{h|a ko ud {ckc-

    - Lhaw ud pondom{c ko wo{a `cdc umhkako ko `cdywhdom{c o woywopom{aw mdowcp ma{uwahp olwaop muda podhwwo{a kaka" `cbc`amkc c vowc ma cwhnod o ko {ab dckc quo c ycm{c quowoywopom{a ko{owdhmakc mdowc po om`cm{wo a uda khp{m ha ka cwhnod hnuab a oppo mdowc koumhkakop-

    5- Hkom{hlh aw wo{a mudwh a `cdc a wo{a puycw{o ko uda podhwwo{a u{hbhvaka yawa woywopom{awmdowcp mc mona{h|cp" lhaka uda umhkako ko cdywhdom{c-

    8- Wo`cmeo`ow quo lwaop `cd khlowom{op mudowakcwop o komcdhmakcwop yckod woywopom{aw cdopdc ycm{c ka wo{a mudwh a" appc haw a `aka ud koppop ycm{cp woywopom{akcp ycw lwaop udmdowc wa hcmab o u{hbhvaw cwwo{adom{o mop{o cm{o{c a oywoppc lwaop oquh|abom{op-

    19- Hkom{hl h aw lwaop oquh|abom{op u{hbhvamkc dokhop ko khlowom{op nwamkovap-11- Wo`cmeo`ow quo uda lwac `ufc mudowakcw kh|hp|ob yobc komcdhmakcw woywopom{a cmdowc

    ma{uwab quc hom{o kaquobop kchp-17- Cwkomaw mdowcp wa hcmahp ycph{ h|cp u{hb hvamkc a wo{a mudwh`a cu a dokhc ko cu{wap nwamkovap-10- Cwkomaw lwaop `cd c dopdc komcdhmakcw-1;- Cwkomaw lwaop cd c dopdc mudowakcw-1?- Wo`cmeo`ow quo uda lwac ko komcdhmakcw hnuab cu puyowhcw ac mudowakcw woywopom{a ud

    mdowc wa`hcmab wopyo{h|adom{o hnuab cu hmlowhcw a 1 o u{hbhvaw `cwwo{adom{o c {owdc lwacywywha-

    19-Akh hcmaw o pug{wahw mdowcp wa hcmahp1- Wo`cmeo`ow quo a pcda o a khlowoma ko mdowcp ma{uwahp yckod pow ko{owdhmakap ma wo{a

    mudwh`a ycw fup{aycphc wo{hbmoa o{wodc a o{wodc ko pondom{cp ko wo{a-

    7-Hkom{hlh aw pcdap ko mdowcp wa hcmahp ycph{h|cp cdc mdowcp cwwopycmkom{op a ycm{cp ka wo{amudwh`a" u{hb hvamkc fup{aycphop wo{hbmoap o{wodc a o{wodc ko pondom{cp ko wo{a" o a pcda koquabquow mdowc cd vowc cdc pomkc hnuab ac ywywhc mdowc-

    0- Hkom{hl h aw a khlowoma ko kchp mdowcp wa hcmahp mc mona{h|cp cdc c mdowc quo po ko|oakh`hcmaw ac pug{wa{h|c yawa cg{ow c akh{ h|c o hkom{hl h`aw c ycm{c ka wo{a mudwh`a quo cwwopycmko khlowoma ko kchp mdowcp ycph{h|cp u{hbhvamkc fup{aycphop wo{hbmoap o{wodc a o{wodc kopondom{cp ko wo{a-

    ;- Wo`cmeo`ow quo hnuab a 1 a pcda ko yaw`obap hnuahp a %pomkc mdowc ma{uwab(-?- Wo`cmeo`ow quo a pcda ko yaw`obap hnuahp a %pomkc o mdowcp ma{uwahp( hnuab a o

    hkom{hlh aw op{a lwac `cdc cp ywcku{cp o -

  • 7/31/2019 mec 2012_proposta de metas curriculares do ensino bsico, matemtica [verso final]

    19/89

    MC0 Ynhma 15

    - Ko`cdycw uda lwac puyowhcw a1 ma pcda ko ud mdowc ma{uwab o ko uda lwac ywywhau{hbhvamkc a kh|hpc hm{ohwa kc mudowakcw yobc komcdhmakcw-

    Php{oda ko mudowac ko hdab

    11- Woywopom{aw mdowcp wa hcmahp ycw kvhdap1- Hkom{hlh aw ap lwaop ko hdahp cdc ap lwaop cd komcdhmakcwop hnuahp a 19" 199" 1999" o{`-7- Wokuvhw ac dopdc komcdhmakcw lwaop ko hdahp u{hbhvamkc oodybcp kc php{oda d{wh c-0- Akh hcmaw lwaop ko hdahp cd komcdhmakcwop a{ 1999" wokuvhmkc ac dahcw komcdhmakcw-;- Woywopom{aw ycw 9"1 " 9"91 o 9"991 cp mdowcp wa hcmahp " o " wopyo{h|adom{o-?- Woywopom{aw ap lwaop ko hdahp cdc kvhdap o woywopom{$bap ma wo{a mudwh a-- Olo{uaw a ko`cdycphc ko hdab ko ud mdowc wa hcmab woywopom{akc `cdc kvhda-

  • 7/31/2019 mec 2012_proposta de metas curriculares do ensino bsico, matemtica [verso final]

    20/89

    ND0 Ynhma 18

    Nocdo{wha o Dokhka ND0

    Bc`abhvac o cwhom{ac mc opyac

    1- Ph{uaw$po o ph{uaw cgfo{cp mc opyac1- Hkom{hlh aw kchp pondom{cp ko wo{a muda nwobea quakwh ubaka cdc yawabobcp

    po lcw ycpp|ob kop`wo|ow ud h{hmowwhc quo `cdoa ycw yow`cwwow ud kcppondom{cp" a`aga yow`cwwomkc c cu{wc o cm{d ud mdowc yaw ko quaw{cpko |cb{a-

    7- Hkom{hlh aw kuap khwoop woba{h|adom{o a ud cgpow|akcw `cdc yowyomkh ubawopquamkc yukowod pow bhnakap ycw ud quaw{c ko |cb{a-

    0- Wo`cmeo`ow o woywopom{aw pondom{cp ko wo{a yowyomkh ubawop o yawabobcp odph{uaop |awhakap-;- Wo cmeo ow a yowyomkh`ubawhkako om{wo kuap khwoop quamkc uda |ow{h ab o cu{wa ecwhvcm{ab-?- Wo`cmeo`ow" muda nwobea quakwh ubaka ma quab `aka bhmea ecwhvcm{ab o `aka bhmea |ow{h ab op{

    hkom{hlh aka ycw ud pdgcbc" quo quabquow ycm{c ycko pow bc`abhvakc a{wa|p ko ud yaw ko`ccwkomakap-

  • 7/31/2019 mec 2012_proposta de metas curriculares do ensino bsico, matemtica [verso final]

    21/89

    ND0 Ynhma 79

    7- Dokhw khp{m hap o cdywhdom{cp u{hbhvamkc ap umhkakop kc php{oda d{wh c o olo{uaw cm|owpop-0- @cmp{wuhw muda nwobea quakwh`ubaka lhnuwap mc nocdo{wh`adom{o hnuahp cd c dopdc yowdo{wc-;- Wo`cmeo`ow quo lhnuwap `cd a dopda woa yckod {ow yowdo{wcp khlowom{op-?- Lhaw uda umhkako ko cdywhdom{c o hkom{hl h aw a woa ko ud quakwakc ko bakc ko dokhka 1 cdc

    uda umhkako quakwaka-

    - Omquakwaw a woa ko uda lhnuwa u{hbhvamkc lhnuwap ko`cdycm|ohp od umhkakop quakwakap-5- Wo`cmeo`ow" lhaka uda umhkako ko `cdywhdom{c" quo a dokhka" od umhkakop quakwakap" ka woa

    ko ud wo{mnubc ko bakcp ko dokhkap hm{ohwap kaka yobc ywcku{c kap dokhkap ko kchp bakcp`cm`cwwom{op-

    8- Wo`cmeo`ow c do{wc quakwakc `cdc a woa ko ud quakwakc `cd ud do{wc ko bakc-

    ;- Dokhw dappap1- Woba hcmaw ap khlowom{op umhkakop ko dappa kc php{oda d{wh c-7- Woabhvaw yopanomp u{hbhvamkc ap umhkakop kc php{oda d{wh c o olo{uaw cm|owpop-0- Pagow quo ud bh{wc ko nua yopa ud quhbcnwada-

    ?- Dokhw `aya hkakop1- Woba hcmaw ap khlowom{op umhkakop ko `aya hkako kc php{oda d{wh c-7- Dokhw `aya hkakop u{hbhvamkc ap umhkakop kc php{oda d{wh c o olo{uaw cm|owpop-

    - @cm{aw khmeohwc1- Akh hcmaw o pug{wahw quam{hap ko khmeohwc-

    5- Wopcb|ow ywcgbodap1- Wopcb|ow ywcgbodap ko a{ {wp yappcp om|cb|omkc dokhkap ko khlowom{op nwamkovap-

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    22/89

    C[K0 Ynhma 71

    Cwnamhvac o {wa{adom{c ko kakcp C[K0

    Woywopom{ac o {wa{adom{c ko kakcp

    1- Woywopom{aw `cmfum{cp ko kakcp1- Woywopom{aw `cmfum{cp ko mdowcp ma{uwahp od khanwadap ko `aubo o lcbeap-

    7- [wa{aw cmfum{cp ko kakcp1- Hkom{hlh aw a lwoqum ha agpcbu{a ko uda `a{oncwha ko ko{owdhmakc `cmfum{c ko kakcp `cdc c

    mdowc ko obodom{cp ka ycyubac quo yow{om`od a oppa a{oncwha-7- Hkom{hl h aw a dcka ko ud cmfum{c ko kakcp cdc a a{oncwha cd dahcw lwoqum ha agpcbu{a-0- Hkom{hlh aw c dhdc o c dmhdc ko ud `cmfum{c ko kakcp mudwh cp wopyo{h|adom{o `cdc a

    `a{oncwha ko dahcw o domcw |abcw mudwh`c" kophnmamkc$cp ycw o{wodcp-

    ;- Hkom{hl h aw a adybh{uko ko ud cmfum{c ko kakcp mudwh`cp cdc a khlowoma om{wo o{wodcp-0- Wopcb|ow ywcgbodap

    1- Wopcb|ow ywcgbodap om|cb|omkc a ambhpo ko kakcp woywopom{akcp od {agobap" khanwadap cunwlh`cp o a ko{owdhmac ko lwoqum hap agpcbu{ap" dcka" o{wodcp o adybh{uko-

    7- Wopcb|ow ywcgbodap om|cb|omkc a cwnamhvac ko kakcp ycw `a{oncwhap o a wopyo{h|a woywopom{acko uda lcwda akoquaka-

  • 7/31/2019 mec 2012_proposta de metas curriculares do ensino bsico, matemtica [verso final]

    23/89

    MC; Ynhma 77

    ;AMCMdowcp o Cyowaop MC;

    Mdowcp ma{uwahp

    1- @cm{aw1- Wo`cmeo`ow quo po yckowha ywcpponuhw a `cm{anod hmkolhmhkadom{o hm{wckuvhmkc wonwap ko

    `cmp{wuc ambcnap p u{hbhvakap yawa a cm{anod a{ ud dhbec-7- Pagow quo c {owdc ghbhc o {owdcp hkm{h cp mcu{wap bmnuap {d phnmhlh akcp khp{hm{cp od

    khlowom{op yapop" kophnmamkc ud dhbec ko dhbeop od Ycw{unab o mcu{wcp yapop ouwcyoup o uddhbeaw ko dhbeop mc Gwaphb %ghbec( o mcp O_A %ghbbhcm(" ycw oodybc-

    7- Olo{uaw kh|hpop hm{ohwap1- Olo{uaw kh|hpop hm{ohwap cd kh|hkomkcp ko {wp abnawhpdcp o kh|hpcwop ko kchp abnawhpdcp" mcp apcp

    od quo c kh|hkomkc domcw quo 19|ovop c kh|hpcw" `cdoamkc ycw `cmp{wuhw uda {aguaka kckh|hpcw `cmp{h{uka yobcp ywcku{cp `cd cp mdowcp ko 1 a8 o aywopom{aw c wopub{akc `cd akhpycphc upuab kc abncwh{dc-

    7- Olo{uaw kh|hpop hm{ohwap cd kh|hkomkcp ko {wp abnawhpdcp o kh|hpcwop ko kchp abnawhpdcp" mcp apcpod quo c kh|hkomkc domcw quo 19 |ovop c kh|hpcw" u{hbhvamkc c abncwh{dc" cu pofa" ko{owdhmamkccp abnawhpdcp kc wop{c pod ab ubaw ywo|hadom{o c ywcku{c kc quc hom{o yobc kh|hpcw-

    0- Olo{uaw kh|hpop hm{ohwap `cd kh|hkomkcp ko kchp abnawhpdcp o kh|hpcwop ko ud abnawhpdc" mcp `apcpod quo c mdowc ko kovomap kc kh|hkomkc puyowhcw cu hnuab ac kh|hpcw" u{hb hvamkc c abncwh{dc-

    ;- Olo{uaw kh|hpop hm{ohwap u{hbhvamkc c abncwh{dc-?- Hkom{hlh aw cp kh|hpcwop ko ud mdowc ma{uwab a{ 199-

    0- Wopcb|ow ywcgbodap1- Wopcb|ow ywcgbodap ko |whcp yappcp om|cb|omkc ap qua{wc cyowaop-

    Mdowcp wa hcmahp mc mona{h|cp

    ;- Phdybhlh aw lwaop1- Wo`cmeo`ow quo dub{hybh amkc c mudowakcw o c komcdhmakcw ko uda kaka lwac yobc dopdc

    mdowc ma{uwab po cg{d uda lwac oquh|abom{o-7- Phdybhl h aw lwaop mcp apcp od quo c mudowakcw o c komcdhmakcw yow{omad phdub{amoadom{o

    {aguaka kc 7 cu kc ? cu pofad adgcp db{ hybcp ko 19-

    ?- Dub{hybh`aw o kh|hkhw mdowcp wa hcmahp mc mona{h|cp1- Op{omkow kcp ma{uwahp a {ckcp cp wa hcmahp mc mona{h|cp a hkom{hl h ac kc ywcku{c ko ud mdowc

    ycw ud mdowc ma{uwab `cdc a pcda ko yaw`obap hnuahp a" po = 1 " `cdc c ywywhc " po 4 1" o woywopom{$bc ycw o -7- Wo`cmeo`ow quo 4 o quo" od yaw{h ubaw" 4 %pomkc " o mdowcp ma{uwahp(-

  • 7/31/2019 mec 2012_proposta de metas curriculares do ensino bsico, matemtica [verso final]

    24/89

  • 7/31/2019 mec 2012_proposta de metas curriculares do ensino bsico, matemtica [verso final]

    25/89

    ND; Ynhma 7;

    Nocdo{wha o Dokhka ND;

    Bc`abhvac o cwhom{ac mc opyac

    1- Ph{uaw$po o ph{uaw cgfo{cp mc opyac1- Appc haw c {owdc mnubc a ud yaw ko khwoop woba{h|ap a ud dopdc cgpow|akcw" u{ hb hvaw c {owdc

    |w{h o kc mnubc yawa hkom{hlh aw a ycphc kc ycm{c ko cmko loh{a a cgpow|ac o u{hbhvaw`cwwo{adom{o a oywoppc mnubc lcwdakc ycw kuap khwoop o cu{wap oquh|abom{op-

    7- Hkom{hl h aw mnubcp od khlowom{op cgfo{cp o kopomecp-0- Hkom{hlh aw mnubcp `cd a dopda adybh{uko u{hbhvamkc kopbc`adom{cp ko cgfo{cp wnhkcp `cd

    {wp ycm{cp lhakcp-;- Wo`cmeo`ow cdc mnubcp cp yawop ko khwoop appc hakcp wopyo{h|adom{o doha |cb{a o ac quaw{c

    ko |cb{a-

    Lhnuwap nocd{wh ap

    7- Hkom{hlh`aw o `cdyawaw mnubcp1- Hkom{hlh aw ap podhwwo{ap ph{uakap om{wo kuap podhwwo{ap o mc `cbhmoawop

    `cdc ap ko cwhnod quo hm{owpo{ad c pondom{c ko wo{a ZT-

    7- Hkom{hlh aw ud mnubc `cm|oc ko |w{h`o %" o ycm{cp mc `cbhmoawop(`cdc c cmfum{c ko ycm{cp yow{om`om{op p podhwwo{ap ph{uakap om{wo o -

    0- Hkom{hlh aw kchp mnubcp `cm|ocp o `cdc |ow{h abdom{o cycp{cp quamkc appodhwwo{ap o pc wopyo{h|adom{o cycp{ap a o cu a o-

    ;- Wo`cmeo`ow c ybamc ko{owdhmakc ycw {wp ycm{cp" o mc `cbhmoawop `cdc aumhc ko pohp mnubcp `cm|ocp6 cp {wp mnubcp `cm|ocp ycw obop ko{owdhmakcp o cpwopyo{h|cp mnubcp |ow{ h abdom{o cycp{cp-

    ?- Wo`cmeo`ow" kakcp {wp ycm{cp" o mc `cbhmoawop" c {whmnubc ZT `cdc ahm{owpoc kcp {wp mnubcp `cm|ocp ycw obop ko{owdhmakcp-

    - Hkom{hlh aw ud podhybamc `cdc `aka uda kap yaw{op od quo lh a kh|hkhkc udybamc ycw uda wo{a mobo lhaka" pagomkc quo kchp ycm{cp yow{om`od a podhybamcpcycp{cp po c pondom{c ko wo{a ycw obop kolhmhkc hm{owpo{aw a wo{a-

    5- Hkom{hlh aw ud mnubc `m`a|c ko |w{h`o `cdc c `cmfum{c`cdybodom{aw" mc ybamc" kc wopyo{h|c mnubc `cm|oc umhkc `cd ap podhwwo{ap o -

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    ND; Ynhma 7?

    8- Kophnmaw uda podhwwo{a quo yappa ycw ud ycm{c ycw mnubc ko |w{h`o o wolowh$ba`cdc mnubc mubc-

    19- Appc haw ud mnubc wapc a ud podhybamc o a ud yaw ko podhwwo{ap cycp{ap quo c kobhdh{ad okophnmaw ycw |w{h o kop{o mnubc a cwhnod cdud kap podhwwo{ap-

    11- Appc haw ud mnubc nhwc a ud ybamc o a uda podhwwo{a mobo lhaka o kophnmaw ycw |w{h o kop{omnubc a cwhnod ka podhwwo{a-

    17- _{hbhvaw cwwo{adom{o c {owdc bakc ko ud mnubc-10- Wo`cmeo`ow kchp mnubcp" adgcp `cm|ocp cu adgcp `m`a|cp" `cdc

    {omkc a dopda adybh{uko daw`amkc ycm{cp oquhkhp{am{op kcp |w{h opmcp bakcp cwwopycmkom{op ko aka ud kcp mnubcp o |owhlh amkc quo pchnuahp cp pondom{cp ko wo{a ko{owdhmakcp ycw `aka yaw ko ycm{cp apphdlhakc od `aka mnubc" o pagow quo mnubcp `cd a dopda adybh{uko pcnocdo{wh adom{o hnuahp-

    1;- Hkom{hlh aw kchp mnubcp ph{uakcp mc dopdc ybamc `cdc akfa`om{op quamkcyaw{hbead ud bakc o momeud kcp mnubcp op{ cm{hkc mc cu{wc-

    1?- Hkom{hlh`aw ud mnubc `cdc {omkc dahcw adybh{uko kc quo cu{wc quamkc lcwnocdo{wh adom{o hnuab umhc kop{o cd ud mnubc akfa om{o-

    1- Hkom{hlh aw mnubc anukc `cdc ud mnubc `cd adybh{uko domcw kc quo a koud mnubc wo{c-15- Hkom{hlh aw ud mnubc `cm|oc `cdc cg{upc po {h|ow adybh{uko dahcw kc

    quo a ko ud mnubc wo{c-

    18- Wo`cmeo`ow mnubcp wo{cp" anukcp" cg{upcp" `cm|ocp o `m`a|cp od kopomecp o cgfo{cp o pagowwoywopom{$bcp-

    79- _{hbhvaw `cwwo{adom{o cp {owdcp {whmnubc wo{mnubc" {whmnubc a`u{mnubc o {whmnubccg{upmnubc-

    0- Wo cmeo ow ywcywhokakop nocd{wh`ap1- Wo`cmeo`ow quo kuap wo{ap pc yowyomkh ubawop quamkc lcwdad ud mnubc wo{c o pagow quo mop{a

    ph{uac cp wop{am{op {wp mnubcp lcwdakcp pc hnuabdom{o wo{cp-7- Kophnmaw ycw wo{ap yawabobap wo{ap od ko{owdhmakc ybamc quo mc po hm{owpo{ad o `cdc wo{ap

    `cm cwwom{op kuap wo{ap quo po hm{owpo{ad oa{adom{o mud ycm{c-0- Pagow quo wo{ap cd kchp ycm{cp od cdud pc chm hkom{op-;- Olo{uaw woywopom{aop ko wo{ap yawabobap o cm`cwwom{op" o hkom{hlh aw wo{ap mc yawabobap quo mc

    po hm{owpo{ad-

    ?- Hkom{hl h aw cp wo{mnubcp cdc cp quakwhb{owcp ufcp mnubcp pc wo{cp-

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    27/89

    ND; Ynhma 7- Pagow quo kchp ycbncmcp pc nocdo{wh adom{o hnuahp quamkc {h|owod cp bakcpo cp mnubcp `cwwopycmkom{op nocdo{wh adom{o hnuahp-

    5- Hkom{hlh aw cp yawaboboyyokcp wo{mnubcp `cdc cp ycbhokwcp ko pohp la`op wo{amnubawop o kophnmawycw khdompop cp cdywhdom{cp ko {wp awop{ap cm cwwom{op mud |w{ h o-

    8- Kophnmaw ycw ybamcp yawabobcp kchp ybamcp quo mc po hm{owpo{ad-19- Hkom{hlh aw ywhpdap {whamnubawop wo{cp `cdc ycbhokwcp `cd hm`c la`op" kap quahp kuap pc

    {whamnubawop o ap wop{am{op {wp wo{amnubawop" pagomkc quo ap la`op {whamnubawop pc yawabobap-11- Ko cdycw c ugc o c yawaboboyyokc wo{mnubc od kchp ywhpdap {whamnubawop wo{cp-17- Hkom{hlh aw ywhpdap wo{cp `cdc ycbhokwcp `cd kuap la`op nocdo{wh adom{o hnuahp ph{uakap

    wopyo{h|adom{o od kchp ybamcp yawabobcp o ap wop{am{op wo{amnubawop o wo`cmeo`ow cp `ugcp o cpkodahp yawaboboyyokcp wo{mnubcp `cdc ywhpdap wo{cp-

    10- Woba hcmaw ugcp" yawaboboyyokcp wo{mnubcp o ywhpdap wo{cp cd ap wopyo{h|ap ybamhlh aop-1;- Wo`cmeo`ow ya|hdom{aop kc ybamc ycw {whmnubcp" wo{mnubcp o eoncmcp" hkom{hlh aw ap quo

    u{hbhvad ayomap ycbncmcp wonubawop o wo`cmeo`ow quo c ybamc ycko pow ya|hdom{akc ko cu{wcpdckcp-

    1?- @cmp{wuhw ya|hdom{aop {whamnubawop a yaw{hw ko ya|hdom{aop eoancmahp %o |h o$|owpa( oya|hdom{aop {whamnubawop a yaw{hw ko ya|hdom{aop wo{amnubawop-

    Dokhka

    ;- Dokhw `cdywhdom{cp o woap1- Wo`cmeo`ow quo a woa ko ud quakwakc `cd ud ko do{wc ko bakc %ko do{wc quakwakc( hnuab

    `om{phda yaw{o kc do{wc quakwakc o woba hcmaw ap khlowom{op umhkakop ko woa kc php{odad{wh`c-

    7- Wo`cmeo`ow ap `cwwopycmkm hap om{wo ap umhkakop ko dokhka ko woa kc php{oda d{wh c o apumhkakop ko dokhka anwwhap-

    0- Dokhw woap u{hbhvamkc ap umhkakop kc php{oda d{wh`c o olo{uaw `cm|owpop-;- @ab ubaw muda kaka umhkako kc php{oda d{wh c a woa ko ud wo{mnubc `ufa dokhka kcp bakcp

    ycppa pow oywoppa" muda pugumhkako" ycw mdowcp ma{uwahp-

    ?- Dokhw |cbudop o aya hkakop1- Lhaw uda umhkako ko `cdywhdom{c o hkom{hlh aw c |cbudo ko ud `ugc ko bakc ud `cdc uda

    umhkako `gh a-7- Dokhw c |cbudo ko lhnuwap ko`cdycm|ohp od umhkakop `gh ap-0- Wo`cmeo`ow" lhaka uda umhkako ko `cdywhdom{c" quo a dokhka" od umhkakop `gh ap" kc |cbudo

    ko ud yawaboboyyokc wo{mnubc ko awop{ap ko dokhka hm{ohwa kaka yobc ywcku{c kap dokhkap kap{wp khdompop-

    ;- Wo cmeo ow c do{wc `gh c cdc c |cbudo ko ud `ugc cd ud do{wc ko awop{a-?- Wo`cmeo`ow quo c |cbudo ko ud `ugc `cd ud ko`do{wc ko awop{a %ko`do{wc `gh c( hnuab

    dhbphda yaw{o kc do{wc `gh c o woba hcmaw ap khlowom{op umhkakop ko dokhka ko |cbudo kc

    php{oda d{wh c-

  • 7/31/2019 mec 2012_proposta de metas curriculares do ensino bsico, matemtica [verso final]

    28/89

    ND; Ynhma 7>

  • 7/31/2019 mec 2012_proposta de metas curriculares do ensino bsico, matemtica [verso final]

    29/89

    C[K; Ynhma 75

    Cwnamhvac o {wa{adom{c ko kakcp C[K;

    [wa{adom{c ko kakcp

    1- _{hbhvaw lwoqum hap woba{h|ap o yow`om{anomp1- Hkom{hlh aw a lwoqum ha woba{h|a ko uda `a{oncwha ko ko{owdhmakc `cmfum{c ko kakcp `cd a

    lwac `ufc mudowakcw a lwoqum ha agpcbu{a koppa `a{oncwha o c komcdhmakcw c mdowc {c{abko kakcp-

    7- Oywhdhw quabquow lwac ywywha od yow`om{anod awwokcmkaka p k hdap-7- Wopcb|ow ywcgbodap

    1- Wopcb|ow ywcgbodap om|cb|omkc c b ubc o a cdyawac ko lwoqum hap woba{h|ap-

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    30/89

    7- `h`bc Ynhma 78

    7- h bc

    Woba{h|adom{o acp {odap Mdowcp o Cyowaop o bnogwa" `cm buh$po mop{o h bc c op{ukc kapcyowaop obodom{awop pcgwo lwaop o `cdybo{a$po a `cmp{wuc kcp mdowcp wa hcmahp" hm{wckuvhmkc cpmona{h|cp- Cp abumcp ko|owc" om{waka kc 0- h bc" dcp{waw lbum ha o kopodgawac ma u{hbhvac ko

    mdowcp wa hcmahp od `cm{o{cp |awhakcp" woba hcmaw ko lcwda olh av ap puap kh|owpap woywopom{aop%lwaop" kvhdap" mudowahp dhp{cp" yow`om{anomp( o {wa{aw ph{uaop quo om|cb|ad ywcycw hcmabhkakokhwo{a om{wo nwamkovap-

    Pc hnuabdom{o op{ukakap yc{m hap ko gapo wa hcmab ycph{h|a o oycom{o ma{uwab" pomkc cu{wcpoycom{op dahp nowahp hm{wckuvhkcp mc 0- h bc o mc Po`umkwhc- A agcwkanod kop{op `cm{okcp ywo{omkoclowo`ow acp abumcp ud ywhdohwc `cm{a{c `cd cp d{ckcp phdgbh cp ywywhcp ka bnogwa" quo yowdh{odkokuvhw o cwnamhvaw ud `ow{c mdowc ko `cmeo hdom{cp ko lcwda php{od{h a- Lhmabdom{o" pcaywopom{akap mcop gph ap ko kh|hphghbhkako" oybcwamkc$po c Abncwh{dc ko Ou bhkop mc ?- amc o c[ocwoda Lumkadom{ab ka Awh{d{h a" quo kobo ycko pow kokuvhkc" mc

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    31/89

    7- `h`bc Ynhma 09

    pagow hbup{w$bap u{hbhvamkc oodybcp `cm`wo{cp- Mc `apc kap ywcywhokakop dahp phdybop" o koychp ko{owod phkc omphmakap" cp abumcp yckowc pow `eadakcp a aywopom{aw ko lcwda au{mcda uda fup{hlh acnowab ud ycu`c dahp ywo hpa-

    Pagow6 Ywo{omko$po quo c abumc `cmeoa c wopub{akc" dap pod quo beo pofa ohnhka quabquowfup{hlh`ac cu |owhlh`ac cm wo{a-

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    32/89

    MC? Ynhma 01

    ?AMCMdowcp o Cyowaop MC?

    Mdowcp wa hcmahp mc mona{h|cp

    1- Olo{uaw cyowaop cd mdowcp wa hcmahp mc mona{h|cp1- Wo`cmeo`ow" kakap kuap lwaop" quo dub{hybh amkc adgcp cp {owdcp ko `aka uda yobc

    komcdhmakcw ka cu{wa cg{d$po kuap lwaop ko dopdc komcdhmakcw quo beop pcwopyo{h|adom{o oquh|abom{op-

    7- Cwkomaw kuap quahpquow lwaop-0- Wo`cmeo`ow quo * 4 %pomkc " " o mdowcp ma{uwahp(-;- Wo`cmeo`ow quo 4

    %pomkc " " o mdowcp ma{uwahp" (-?- Hkom{hlh`aw c ywcku{c ko ud mdowc wa`hcmab ycph{h|c ycw %pomkc o mdowcp ma{uwahp( cdcc ywcku{c ycw kc ywcku{c ko ycw " woywopom{$bc ycw o o wo`cmeo`ow quo

    4

    %pomkc o mdowcp ma{uwahp(-

    - Phdybhl h aw lwaop kh|hkhmkc adgcp cp {owdcp ycw ud kh|hpcw cdud puyowhcw umhkako-5- Kophnmaw ycw lwac hwwoku{|ob uda lwac `cd domcwop {owdcp kc quo quabquow cu{wa quo beo

    pofa oquh|abom{o-

    8-

    Woywopom{aw cp mdowcp wa hcmahp mc mona{h|cp cdc mudowahp dhp{cp-19- Akh hcmaw o pug{wahw kchp mdowcp wa hcmahp mc mona{h|cp oywoppcp `cdc mudowahp dhp{cp"`cdoamkc wopyo{h|adom{o ycw akh hcmaw cu pug{wahw ap yaw{op hm{ohwap o ap lwaop ywywhapappc hakap" `cd o|om{uab {wampycw{o ko uda umhkako-

    11- Ko{owdhmaw aywchdaop ko mdowcp wa hcmahp ycph{h|cp ycw o`oppc cu ycw koloh{c" cu ycwawwokcmkadom{c" `cd uda kaka ywo hpc-

    7- Wopcb|ow ywcgbodap1- Wopcb|ow ywcgbodap ko |whcp yappcp om|cb|omkc cyowaop `cd mdowcp wa hcmahp woywopom{akcp

    ycw lwaop" kvhdap" yow`om{anomp o mudowahp dhp{cp-

    Mdowcp ma{uwahp

    0- @cmeo ow o aybh aw ywcywhokakop kcp kh|hpcwop1- Pagow cp wh{whcp ko kh|hphghbhkako ycw 0" ycw ;o ycw 8-7- Hkom{hlh aw c dhdc kh|hpcw `cdud ko kchp mdowcp ma{uwahp ycw hmpyoc kcp kh|hpcwop ko `aka

    ud kobop-0- Wo`cmeo`ow quo mud ywcku{c ko mdowcp ma{uwahp" ud kh|hpcw ko ud kcp la{cwop kh|hpcw kc

    ywcku{c-

    ;- Wo`cmeo`ow quo po ud kakc mdowc ma{uwab kh|hko cu{wcp kchp" kh|hko {adgd ap wopyo{h|ap pcdao khlowoma-

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    MC? Ynhma 07

    ?- Wo`cmeo`ow" kaka uda kh|hpc hm{ohwa % 4 * (" quo po ud mdowc kh|hko c quc hom{o %( oc wop{c %( om{c kh|hko c kh|hkomkc %(-

    - _{hbhvaw c abncwh{dc ko Ou bhkop yawa ko{owdhmaw cp kh|hpcwop `cdump ko kchp mdowcp ma{uwahp o"od yaw{h`ubaw" hkom{hlh`aw c wopyo{h|c dhdc kh|hpcw cdud-

    5- Kophnmaw ycw ywhdcp om{wo ph kchp mdowcp ufc dhdc kh|hpcw cdud 1-8- Wo`cmeo`ow quo kh|hkhmkc kchp mdowcp yobc dhdc kh|hpcw `cdud po cg{d kchp mdowcp

    ywhdcp om{wo ph-19- Pagow quo uda lwac hwwoku{|ob po c mudowakcw o c komcdhmakcw pc ywhdcp om{wo ph-11- Hkom{hlh aw c dmhdc db{hybc `cdud ko kchp mdowcp ma{uwahp ycw hmpyoc kcp db{hybcp ko `aka

    ud kobop-17- Pagow quo c ywcku{c ko kchp mdowcp ma{uwahp hnuab ac ywcku{c kc dhdc kh|hpcw `cdud yobc

    dmhdc db{hybc `cdud o u{hbhvaw op{a wobac yawa ko{owdhmaw c ponumkc quamkc `cmeo hkc cywhdohwc" cu |h o$|owpa-

    ;- Wopcb|ow ywcgbodap1- Wopcb|ow ywcgbodap om|cb|omkc c `b ubc kc dhdc kh|hpcw `cdud o kc dmhdc db{hybc `cdud

    ko kchp cu dahp mdowcp ma{uwahp-

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    ND? Ynhma 00

    Nocdo{wha o Dokhka ND?

    Ywcywhokakop nocd{wh ap

    1- Wo cmeo ow ywcywhokakop om|cb|omkc mnubcp" yawabobhpdc o yowyomkh ubawhkako1- Hkom{hlh`aw ud mnubc mc nhwc `cdc pcda ko kchp mnubcp o po lcw

    hnuab umhc ko kchp mnubcp akfa`om{op o wopyo{h|adom{o hnuahp a o a-

    7- Hkom{hlh aw ud mnubc nhwc `cdc hnuab pcda ko cu{wcp kchp po op{oplcwod hnuahp wopyo{h|adom{o a kchp mnubcp mc `chm hkom{op `cd cpdopdcp bakcp-

    0- @cmp{wuhw ud mnubc hnuab pcda ko cu{wcp kchp u{hbhvamkc wnua o `cdyappc-;- Kophnmaw ycw ghppo{whv ko ud kakc mnubc a podhwwo{a mobo `cm{hka" ko cwhnod

    mc |w{h o o quo lcwda `cd `aka ud kcp bakcp mnubcp hnuahp" o `cmp{wuh$bau{hbhvamkc wnua o cdyappc-

    ?- Hkom{hlh aw kchp mnubcp `cdc puybodom{awop quamkc awopyo{h|a pcda lcw hnuab a ud mnubc wapc-

    - Wo`cmeo`ow quo mnubcp |ow{h abdom{o cycp{cp pc hnuahp-

    5- Hkom{hlh aw kuap podhwwo{ap `cd a dopda wo{a puycw{o `cdc {omkc c dopdc pom{hkc po uda`cm{d a cu{wa-

    8- Hkom{hlh aw kuap podhwwo{ap `cd wo{ap puycw{o khp{hm{ap `cdc {omkc c dopdcpom{hkc po lcwod yawabobap o op{h|owod `cm{hkap mud dopdc podhybamcko{owdhmakc yobap wopyo{h|ap cwhnomp-

    19- _{hbhvaw `cwwo{adom{o ap oywoppop podhwwo{ap khwo{adom{o yawabobap o podhwwo{aphm|owpadom{o yawabobap-

    11- Hkom{hlh aw" kakap kuap podhwwo{ap o `cm{hkap ma dopda wo{a o `cd cdopdc pom{hkc o kchp ycm{cp o yow{om om{op a ud dopdc podhybamc kolhmhkcyoba wo{a" cp mnubcp o `cdc `cwwopycmkom{op o pagow quo pchnuahp quamkc %o ayomap quamkc( ap wo{ap o pc yawabobap-

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    ND? Ynhma 0;

    17- @cmp{wuhw pondom{cp ko wo{a yawabobcp wo`cwwomkc a wnua o opquakwc o u{hbhvamkc quabquow yaw kobakcp kc opquakwc-

    10- Hkom{hlh aw" kakap kuap wo{ap o hm{owpo{akap ycw uda po`am{o" mnubcp hm{owmcp o mnubcpo{owmcp o yawop ko mnubcp ab{owmcp hm{owmcp o ab{owmcp o{owmcp o wo`cmeo`ow quo cpmnubcp ko `aka ud kop{op yawop pc hnuahp quamkc %o p quamkc( o pc yawabobap-

    1;- Wo`cmeo`ow quo pc hnuahp kchp mnubcp `cm|ocp`cdybamawop ko bakcp kchp a kchpkhwo{adom{o yawabobcp cu ko bakcp kchp a kchphm|owpadom{o yawabobcp-

    1?- Wo`cmeo`ow quo pc puybodom{awop kchp mnubcp `cm|ocp `cdybamawop quo{omead kchp kcp bakcp khwo{adom{o yawabobcp o cp cu{wcp kchp hm|owpadom{oyawabobcp-

    1

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    ND? Ynhma 0?

    `cwwo{adom{o" mop{o `cm{o{c" a oywoppc `wh{whc ABA ko hnuabkako ko{whmnubcp-

    19- Wo`cmeo`ow quo mud {whmnubc a bakcp hnuahp cyod$po mnubcp hnuahp owo hywc`adom{o-

    11- Wo`cmeo`ow quo od {whmnubcp hnuahp a bakcp hnuahp cyod$po mnubcp hnuahpo wo hywc`adom{o-

    17- @bapphl h aw cp {whmnubcp quam{c acp bakcp u{hbhvamkc ap adybh{ukop kcp wopyo{h|cp mnubcp hm{owmcp-10- Pagow quo mud {whmnubc ac dahcw bakc cyo$po c dahcw mnubc o ac domcw bakc cyo$po c domcw

    mnubc" o |h o$|owpa-1;- Wo`cmeo ow quo mud yawabobcnwadc bakcp cycp{cp pc hnuahp-1?- Pagow quo mud {whmnubc a dokhka kc `cdywhdom{c ko quabquow bakc domcw kc quo a pcda kap

    dokhkap kcp cu{wcp kchp o dahcw kc quo a wopyo{h|a khlowoma o kophnmaw a ywhdohwa kop{apywcywhokakop ycw kophnuabkako {whamnubaw-

    1- Hkom{hl h`aw a khp{m ha ko ud ycm{c a uda wo{a `cdc a khp{m ha ko ac y ka yowyomkh ubaw

    {waaka ko yawa o wo`cmeo ow quo hmlowhcw khp{m ha ko a quabquow cu{wc ycm{c ko -15-

    Hkom{hlh aw" kakc ud {whmnubc o ud kcp wopyo{h|cp bakcp" a ab{uwa kc{whmnubc woba{h|adom{o a oppo bakc %kophnmakc ycw gapo(" `cdc cpondom{c ko wo{a umhmkc c |w{h o cycp{c gapo `cd c y kayowyomkh ubaw {waaka koppo |w{h o yawa a wo{a quo `cm{d a gapo-

    18- Wo`cmeo`ow quo pc hnuahp cp pondom{cp ko wo{a quo umod kuap wo{apyawabobap o beop pc yowyomkh ubawop o kophnmaw c `cdywhdom{c koppoppondom{cp ycw khp{m ha om{wo ap wo{ap yawabobap-

    79- Hkom{hlh aw" kakc ud yawabobcnwadc" uda ab{uwa woba{h|adom{o a udbakc %kophnmakc ycw gapo( `cdc ud pondom{c ko wo{a quo umo udycm{c kc bakc cycp{c wo{a quo cm{d a gapo o beo yowyomkh ubaw-

    71- _{hbhvaw wa hc`mhc koku{h|c yawa wo cmeo ow ywcywhokakop nocd{wh`ap-0- Wopcb|ow ywcgbodap

    1- Wopcb|ow ywcgbodap om|cb|omkc ap mcop ko yawabobhpdc" yowyomkh ubawhkako" mnubcp o{whmnubcp-

    Dokhka

    ;- Dokhw woap ko lhnuwap ybamap1- @cmp{wuhw" lhaka uda umhkako ko cdywhdom{c o kakcp kchp mdowcp ma{uwahp o" ud quakwakc

    umh{whc ko`cdycp{c od wo{mnubcp ko bakcp `cmpo`u{h|cp ko dokhkap o o wo`cmeo`ow

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    ND? Ynhma 0

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    38/89

    ABN? Ynhma 0>

    bnogwa ABN?

    Oywoppop abngwh ap

    1- @cmeo`ow o aybh aw ap ywcywhokakop kap cyowaop1- @cmeo`ow ap ywhcwhkakop `cm|om hcmakap kap cyowaop ko akhc" pug{wac" dub{hybh ac o

    kh|hpc o u{hbhvaw cwwo{adom{o cp yawm{opop-7- Wo`cmeo`ow ap ywcywhokakop appc ha{h|a o `cdu{a{h|a ka akhc o ka dub{hybh ac o ap

    ywcywhokakop khp{whgu{h|ap ka dub{hybh ac woba{h|adom{o akhc o pug{wac o woywopom{$bapabnogwh adom{o-

    0- Hkom{hlh`aw c 9 o c 1 `cdc cp obodom{cp mou{wcp wopyo{h|adom{o ka akhc o ka dub{hybh ac komdowcp wa hcmahp mc mona{h|cp o c 9 `cdc obodom{c agpcw|om{o ka dub{ hyb h ac-

    ;- _{hbhvaw c {wac ko lwac yawa woywopom{aw c quc hom{o ko kchp mdowcp wa hcmahp o kophnm$bc ycwwavc kcp kchp mdowcp-?- Hkom{hlh aw kchp mdowcp wa hcmahp ycph{h|cp `cdc hm|owpcp ud kc cu{wc quamkc c wopyo{h|cywcku{c lcw hnuab a1 o wo`cmeo ow quo c hm|owpc ko ud kakc mdowc wa hcmab ycph{ h|c hnuab a -

    - Wo`cmeo`ow quo c hm|owpc kc ywcku{c %wopyo{h|adom{o quc hom{o( ko kchp mdowcp wa hcmahpycph{ h|cp hnuab ac ywcku{c %wopyo{h|adom{o quc hom{o( kcp hm|owpcp-

    5- Wo`cmeo`ow" kakcp mdowcp wa hcmahp ycph{h|cp " " o " quo 4 o `cm buhw quo chm|owpc ko

    hnuab a

    -

    8- Wo`cmeo`ow" kakcp mdowcp wa hcmahp ycph{h|cp" " o " quo

    4 -19- Phdybhlh aw o `ab ubaw c |abcw ko oywoppop mudwh ap om|cb|omkc ap qua{wc cyowaop awh{d{h ap-11- [wakuvhw od bhmnuanod phdgbh a omum hakcp da{od{h cp oywoppcp od bhmnuanod ma{uwab o |h o$

    |owpa" pagomkc quo c phmab ko dub{hybh ac ycko pow cdh{hkc om{wo mdowcp o bo{wap o om{wo bo{wap"o quo ycko {adgd u{hb hvaw$po" od {ckcp cp apcp" ud ycm{c mc bunaw kop{o phmab-

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    C[K? Ynhma 05

    Cwnamhvac o {wa{adom{c ko kakcp C[K?

    Woywopom{ac o {wa{adom{c ko kakcp

    1- Cwnamhvaw o woywopom{aw kakcp1- @cmp{wuhw {agobap ko lwoqum hap agpcbu{ap o woba{h|ap wo`cmeo`omkc quo a pcda kap lwoqum hap

    woba{h|ap kap kh|owpap a{oncwhap ko ko{owdhmakc cmfum{c ko kakcp hnuab a1-7- Woywopom{aw ud `cmfum{c ko kakcp od nwlh c ko gawwap-0- Hkom{hlh aw ud wolowom hab `aw{ophamc `cdc ud yaw ko wo{ap mudwh ap mc `chm hkom{op quo po

    hm{owpo{ad map wopyo{h|ap cwhnomp" kap quahp uda lhaka cdc ohc kap ag hppap o a cu{wa cdcohc kap cwkomakap %cp ohcp `ccwkomakcp(" kophnmaw c wolowom hab `aw{ophamc `cdccw{cncmab quamkc cp ohcp pc yowyomkh ubawop o ycw dcmcd{wh c quamkc a umhkako ko`cdywhdom{c a dopda yawa adgcp cp ohcp-

    ;- Hkom{hlh aw" kakc ud ybamc dumhkc ko ud wolowom hab `aw{ophamc" a ag hppa %wopyo{h|adom{ocwkomaka( ko ud ycm{c Ykc ybamc cdc c mdowc woywopom{akc yoba hm{owpoc cd c ohc kapag hppap %wopyo{h|adom{o cwkomakap( `cd a wo{a yawaboba ac ohc kap cwkomakap %wopyo{h|adom{oag hppap( quo yappa ycw Yo kophnmaw a ag hppa o a cwkomaka ycw `ccwkomakap koY-

    ?- @cmp{wuhw" mud ybamc dumhkc ko ud wolowom hab `aw{ophamc cw{cncmab" c nwlh c ko ycm{cpwolowom{o a kchp `cmfum{cp ko mdowcp {ahp quo a {ckc c obodom{c kc ywhdohwc op{ appc hakc udmh c obodom{c kc ponumkc" woywopom{amkc moppo ybamc cp ycm{cp `ufap ag hppap pc hnuahp acp|abcwop kc ywhdohwc `cmfum{c o ap cwkomakap wopyo{h|adom{o hnuahp acp |abcwop appc hakcp pag hppap mc ponumkc cmfum{c-

    - Wopcb|ow ywcgbodap om|cb|omkc a ambhpo ko kakcp woywopom{akcp od {agobap ko lwoqum ha"khanwadap ko aubo$o$lcbeap cu nwlh cp ko gawwap o ko bhmea-

    7- [wa{aw cmfum{cp ko kakcp1- Hkom{hlh aw a dkha awh{d{h a ko ud `cmfum{c ko kakcp mudwh cp `cdc c quc hom{o om{wo a

    pcda kcp wopyo{h|cp |abcwop %woyo{hmkc `aka yaw`oba ud mdowc ko |ovop hnuab lwoqum haagpcbu{a ka a{oncwha od aupa( o c mdowc ko kakcp" o woywopom{$ba ycw -

    0- Wopcb|ow ywcgbodap1- Wopcb|ow ywcgbodap om|cb|omkc a dkha awh{d{h a o a dcka ko ud `cmfum{c ko kakcp"

    hm{owywo{amkc c wopyo{h|c phnmhlh akc mc cm{o{c ko aka ph{uac-

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    MC< Ynhma 08

  • 7/31/2019 mec 2012_proposta de metas curriculares do ensino bsico, matemtica [verso final]

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    MC< Ynhma ;9

    cdc c cmfum{c lcwdakc yobc 9" cp mdowcp ma{uwahp o cp wopyo{h|cp phd{wh`cp" woywopom{$bc ycw o c cmfum{c kcp mdowcp ma{uwahp ycw -

    17- Hkom{hlh aw c `cmfum{c kcp mdowcp wa hcmahp `cdc c `cmfum{c lcwdakc yobc 9" cp mdowcpwa hcmahp ycph{ h|cp o cp wopyo{h|cp phd{wh`cp o woywopom{$bc ycw -

    0- Akh hcmaw mdowcp wa hcmahp1- Hkom{hlh aw ud pondom{c cwhom{akc `cdc ud pondom{c ko wo{a mc quab po op`cbeo uda cwhnod ko

    om{wo cp kchp o{wodcp o woywopom{aw ycw Z"T c pondom{c cwhom{akc ZT ko cwhnod "kophnmamkc c ycm{c G ycw o{wodhkako kop{o pondom{c cwhom{akc-

    7- Wolowhw" kakcp kchp mdowcp wa hcmahp o woywopom{akcp wopyo{h|adom{o yobcp ycm{cp o kawo{a mudwh a" c pondom{c cwhom{akc Z"T `cdc cwhom{akc ycph{h|adom{o quamkc domcwkc quo o cdc cwhom{akc mona{h|adom{o quamkc dahcw kc quo-

    0- Hkom{hlh aw" kakcp kchp mdowcp wa hcmahp o woywopom{akcp wopyo{h|adom{o yobcp ycm{cp o ka wo{a mudwh a" a pcda * `cdc a ag hppa ka cu{wa o{wodhkako kc pondom{c cwhom{akc kocwhnod o ko `cdywhdom{c o cwhom{ac ko Z"T cu yobc ycm{c po lcw mubc" wo`cmeo`omkcquo apphd po op{omko a {ckcp cp mdowcp wa hcmahp a kolhmhc ko akhc ko mdowcp wa hcmahp mcmona{h|cp-

    ;- Wo`cmeo`ow" kakcp mdowcp wa hcmahp `cd c dopdc phmab" quo a wopyo{h|a pcda hnuab ac mdowcwa hcmab cd c dopdc phmab o ko |abcw agpcbu{c hnuab pcda kcp |abcwop agpcbu{cp kap yaw`obap-

    ?- Wo`cmeo`ow" kakcp kchp mdowcp wa hcmahp ko phmab `cm{wwhc mc phd{wh cp" quo a wopyo{h|a pcda hnuab ac mdowc wa hcmab ko phmab hnuab ac ka yaw`oba cd dahcw |abcw agpcbu{c o ko |abcw agpcbu{chnuab khlowoma om{wo c dahcw o c domcw kcp |abcwop agpcbu{cp kap yaw`obap-

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    ND< Ynhma ;1

    Nocdo{wha o Dokhka ND Ynhma ?1

    Nocdo{wha o Dokhka ND>

    Ablago{c nwonc

    1- @cmeo`ow c ablago{c nwonc1- Pagow mcdoaw o woywopom{aw ap bo{wap nwonap dhmp`ubap""""" o -

    Lhnuwap Nocd{wh ap

    7- @bapphlh`aw o cmp{wuhw quakwhb{owcp1- Hkom{hlh aw uda bhmea ycbhncmab `cdc uda poqum ha ko pondom{cp ko wo{a mud

    kakc ybamc" kophnmakcp ycw bakcp" {ab quo yawop ko bakcp `cmpo`u{h|cp yaw{hbeadud o{wodc" bakcp quo po hm{owpo{ad mc pc cbhmoawop o mc e dahp kc quo kchp

    bakcp yaw{hbeamkc ud o{wodc" kophnmaw ycw |w{h op cp o{wodcp cdump a kchpbakcp o u{hbhvaw `cwwo{adom{o c {owdc o{wodhkakop ka bhmea ycbhncmab-

    7- Hkom{hlh aw uda bhmea ycbhncmab `cdc lo`eaka quamkc ap o{wodhkakop`chm hkod-

    0- Hkom{hlh aw uda bhmea ycbhncmab `cdc phdybop quamkc cp mh cp ycm{cp`cdump a kchp bakcp pc |w{ h`op-

    ;- Wo`cmeo`ow hmlcwdabdom{o quo uda bhmea ycbhncmab lo`eaka phdybopkobhdh{a mc ybamc kuap wonhop khpfum{ap" pomkc uda kobap bhdh{aka o kophnmakaycw yaw{o hm{owma o a cu{wa hbhdh{aka o kophnmaka ycw yaw{o o{owma ka bhmea-

    ?- Hkom{hlh aw ud ycbncmc phdybop" cu ayomap ycbncmc" `cdc a umhc kcp bakcp ko uda bhmeaycbhncmab lo`eaka phdybop `cd a wopyo{h|a yaw{o hm{owma" kophnmaw ycw |w{h op o bakcp kcycbncmc wopyo{h|adom{o cp |w{h op o cp bakcp ka bhmea ycbhncmab" ycw hm{owhcw kc ycbncmc ayaw{o hm{owma ka bhmea ycbhncmab" ycw o{owhcw kc ycbncmc a yaw{o o{owma ka bhmea ycbhncmab o ycwlwcm{ohwa kc ycbncmc a umhc kcp wopyo{h|cp bakcp" o u{hbhvaw `cwwo{adom{o cp {owdcp |w{h op`cmpo`u{h|cp o bakcp cmpo`u{h|cp-

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    ND> Ynhma ?7

    19- Pagow quo ud ycbncmc cm|oc quamkc %o ayomap quamkc( cp mnubcp hm{owmcp pc{ckcp `cm|ocp o quo" mop{o `apc" c ycbncmc hnuab hm{owpoc kcp wopyo{h|cpmnubcp hm{owmcp-

    11- Hkom{hlh aw ud mnubc o{owmc ko ud ycbncmc `cm|oc `cdc ud mnubcpuybodom{aw o akfa`om{o a ud mnubc hm{owmc kc ycbncmc-

    17- Kodcmp{waw quo a pcda kcp mnubcp hm{owmcp ko ud quakwhb{owc hnuab a udmnubc nhwc-

    10- Wo`cmeo`ow" kakc ud ycbncmc" quo a pcda kap dokhkap kap adybh{ukop" od nwaup" kcp wopyo{h|cpmnubcp hm{owmcp hnuab ac ywcku{c ko 159 yobc mdowc ko bakcp khdhmukc ko kuap umhkakop oquo appc hamkc a `aka mnubc hm{owmc ud o{owmc akfa`om{o a pcda kop{op hnuab a ud mnubcnhwc-

    1;- Kophnmaw ycw khancmab ko ud kakc ycbncmc quabquow pondom{c ko wo{a quoumo kchp |w{h op mc `cmpo`u{h|cp-

    1?- Wo`cmeo`ow quo ud quakwhb{owc {od oa{adom{o kuap khancmahp o pagow quo apkhancmahp ko ud quakwhb{owc `cm|oc po hm{owpo{ad mud ycm{c quo hm{owhcw ac quakwhb{owc-

    1- Wo`cmeo`ow quo ud yawabobcnwadc ud wo{mnubc quamkc %o ayomapquamkc( ap khancmahp pc hnuahp-

    15- Wo`cmeo`ow quo ud yawabobcnwadc ud bcpamnc quamkc %o ayomapquamkc( ap khancmahp pc yowyomkh`ubawop-

    18- Hkom{hlh aw ud yayanahc `cdc ud quakwhb{owc quo {od kchp yawopko bakcp `cmpo`u{h|cp hnuahp o wo`cmeo`ow quo ud bcpamnc udyayanahc-

    79- Wo`cmeo ow quo ap khancmahp ko ud yayanahc pc yowyomkh`ubawop-

    71- Hkom{hlh aw {wayvhc `cdc ud quakwhb{owc phdybop `cd kchp bakcp yawabobcp %kophnmakcp ycwgapop( o fup{hlh aw quo ud yawabobcnwadc ud {wayvhc-

    77- Kophnmaw ud {wayvhc `cd kchp bakcp cycp{cp mc yawabobcp ycw{wayvhc hpp`obop quamkc oppop bakcp pc hnuahp o ycw{wayvhc op abomc mc apc cm{wwhc-

    70- Kophnmaw ud {wayvhc ycw {wayvhc wo{mnubc quamkc {od ud bakc yowyomkh ubawp gapop-

    7;- Kodcmp{waw quo {ckc c {wayvhc `cd gapop hnuahp ud yawabobcnwadc-

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    0- Wopcb|ow ywcgbodap1- Wopcb|ow ywcgbodap om|cb|omkc `cmnwum hap ko {whmnubcp o ywcywhokakop kcp quakwhb{owcp"

    yckomkc hm buhw kodcmp{waop nocd{wh ap-

    Yawabobhpdc" cmnwum ha o podobeama

    ;- Hkom{hlh`aw o cmp{wuhw lhnuwap cmnwuom{op o podobeam{op1- Hkom{hlh aw kuap lhnuwap nocd{wh ap `cdc hpcd{wh ap cu `cmnwuom{op

    quamkc ycpp|ob op{agobo`ow om{wo cp wopyo{h|cp ycm{cp uda`cwwopycmkm ha ud a ud ko {ab dckc quo yawop ko ycm{cp `cwwopycmkom{oppc oquhkhp{am{op o kophnmaw uda `cwwopycmkm ha `cd op{a ywcywhokako ycwhpcdo{wha-

    7- Hkom{hlh aw kuap lhnuwap nocd{wh ap `cdc podobeam{op quamkc ycpp|obop{agobo`ow om{wo cp wopyo{h|cp ycm{cp uda `cwwopycmkm ha ud a ud ko {abdckc quo ap khp{m hap om{wo yawop ko ycm{cp `cwwopycmkom{op pckhwo{adom{o ywcycw hcmahp" kophnmaw a wopyo{h|a `cmp{am{o koywcycw hcmabhkako ycw wavc ko podobeama" uda `cwwopycmkm ha `cdop{a ywcywhokako ycw podobeama o fup{hlh aw quo ap hpcdo{whap pc appodobeamap ko wavc 1-

    0- Pagow quo {cka a lhnuwa podobeam{o a ud ycbncmc ud ycbncmc `cd c dopdc mdowc ko|w{h op o quo {cka a podobeama appc haka lav `cwwopycmkow acp |w{h op o acp bakcp ko udwopyo{h|adom{o cp |w{h op o cp bakcp kc cu{wc-

    ;- Pagow quo kchp ycbncmcp `cm|ocp pc podobeam{op quamkc %o ayomap quamkc( po yckoop{agobo`ow uda `cwwopycmkm ha om{wo cp |w{h op ko ud o kc cu{wc ko {ab dckc quo cp

    `cdywhdom{cp kcp bakcp o kap khancmahp kc ponumkc po cg{d dub{hyb h amkc cp cdywhdom{cp kcp`cwwopycmkom{op bakcp o kap khancmahp kc ywhdohwc ycw ud dopdc mdowc-

    ?- Ko`cdycw ud kakc {whmnubc od kchp {whmnubcp o ud yawabobcnwadc {waamkcap kuap wo{ap quo yappad yobc ycm{c dkhc ko ud kcp bakcp o pcwopyo{h|adom{o yawabobap a `aka ud kcp kchp cu{wcp" fup{hlh aw quo cp kchp{whmnubcp ka ko cdycphc pc hnuahp o cm buhw quo {ckcp cp bakcp kc {whmnubchmh hab lh ad apphd ghppo{akcp-

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    ND> Ynhma ?;

    19- Wo`cmeo`ow" u{hbhvamkc c {ocwoda ko [abop" quo kchp {whmnubcp pc podobeam{op quamkc kchpmnubcp hm{owmcp ko ud pc hnuahp a kchp kcp mnubcp hm{owmcp kc cu{wc o kophnmaw op{a ywcywhokakoycw `wh{whc AA ko podobeama ko {whmnubcp-

    11- Wo`cmeo`ow" u{hbhvamkc c {ocwoda ko [abop" quo kchp {whmnubcp podobeam{op {d cp mnubcp`cwwopycmkom{op hnuahp-

    17- Wo`cmeo`ow quo kchp quahpquow w`ubcp pc podobeam{op" `cd wavc ko podobeama hnuab acquc hom{o kcp wopyo{h|cp wahcp-

    10- Pagow quo kchp ycbncmcp pc podobeam{op quamkc %o ayomap quamkc( {d c dopdc mdowc kobakcp o ohp{o uda `cwwopycmkm ha om{wo obop {ab quo cp `cdywhdom{cp kcp bakcp kc ponumkc pckhwo{adom{o ywcycw hcmahp acp `cdywhdom{cp kcp bakcp kc ywhdohwc o cp mnubcp lcwdakcp ycwbakcp `cwwopycmkom{op pc hnuahp o wo`cmeo`ow op{a ywcywhokako od `apcp `cm`wo{cp ycw{whamnubaop-

    1;- Kh|hkhw" kakc ud mdowc ma{uwab " ud pondom{c ko wo{a od pondom{cp ko hnuab`cdywhdom{c u{hbhvamkc wnua o `cdyappc" `cd cu pod opquakwc-

    ?- @cmp{wuhw o wo`cmeo`ow ywcywhokakop ko ecdc{o{hap1- Hkom{hl h`aw" kakc ud ycm{c o ud mdowc wa hcmab ycph{h|c " a ecdc{o{ha ko om{wc o wavc

    `cdc a `cwwopycmkm ha quo a ud ycm{c appc ha c ycm{c ka podhwwo{a {ab quo 4 -

    7- Hkom{hl h`aw" kakc ud ycm{c o ud mdowc wa hcmab mona{h|c " a ecdc{o{ha ko om{wc o wavc `cdc a `cwwopycmkm ha quo a ud ycm{c appc ha c ycm{c ka podhwwo{a cycp{a a {ab quo 4 -

    0- _{hbhvaw `cwwo{adom{o cp {owdcp ecdc{o{ha khwo{a" ecdc{o{ha hm|owpa" adybhac" wokuco lhnuwap ecdc{{h ap-

    ;- Wo`cmeo ow quo kuap lhnuwap ecdc{{h`ap pc podobeam{op" pomkc a wavc ko podobeama c dkubcka wavc ka ecdc{o{ha-

    ?- @cmp{wuhw lhnuwap ecdc{{h`ap u{hbhvamkc quakw`ubap cu u{hbhvamkc wnua o cdyappc-

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    ND> Ynhma ??

    7 " ko`cdycmkc c {whmnubc od kchp {whmnubcp a obo podobeam{op yoba ab{uwa woba{h|a ehyc{omupa" o u{hbhvaw c [ocwoda lumkadom{ab ka awh{d{h a yawa dcp{waw quo mc ohp{od mdowcpma{uwahp o moppap `cmkhop" dcp{wamkc quo c oycom{o ko 7 ma ko`cdycphc od mdowcpywhdcp kc mdowc ma{uwab {owha ko pow phdub{amoadom{o yaw o dyaw-

    ?- Fup{hl h aw quo a ehyc{omupa o ud a{o{c ko ud {whmnubc wo{mnubc hpp obop mc pc cdompuw|ohpo kophnmaw pondom{cp ko wo{a `cd op{a ywcywhokako ycw hm`cdompuw|ohp-

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    LPP> Ynhma ?

  • 7/31/2019 mec 2012_proposta de metas curriculares do ensino bsico, matemtica [verso final]

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    LPP> Ynhma ?>

    - Kodcmp{waw quo c ywcku{c ycw `cmp{am{o" a pcda o a khlowoma ko lumop alhmp pc lumop alhmpko `colh hom{op ka |awh|ob o {owdcp hmkoyomkom{op wopyo{h|adom{o hnuahp ac ywcku{c yoba

    `cmp{am{o" pcda o khlowoma kcp colh hom{op o kcp {owdcp hmkoyomkom{op kap lumop kakap-5- Hkom{hlh aw lumop bhmoawop o alhmp wokuvhmkc ap oywoppop kakap yawa oppap lumop lcwda

    `ammh a-

    0- Kolhmhw lumop ko ywcycw hcmabhkako khwo{a1- Wo`cmeo`ow" kaka uda nwamkova khwo{adom{o ywcycw hcmab a cu{wa" quo" lhakap umhkakop" a

    lumc ko ywcycw hcmabhkako khwo{a quo appc ha dokhka ka ponumka a `cwwopycmkom{odokhka 4 %( ka ywhdohwa pa{hplav" yawa {ckc c mdowc ycph{h|c "%( 4 %( %acdub{hybh`aw a dokhka ka ponumka ycw ud kakc mdowc ycph{h|c" a dokhka 4 %( ka ywhdohwalh a {adgd dub{hybh aka ycw oppo mdowc( o" `cmphkowamkc 4 1" quo uda lumc bhmoaw ko`colh`hom{o 4 %1(-

    7- Wo`cmeo`ow" kaka uda nwamkova khwo{adom{o ywcycw hcmab a cu{wa" quo a `cmp{am{o koywcycw hcmabhkako hnuab ac colh hom{o ka wopyo{h|a lumc ko ywcycw hcmabhkako khwo{a-

    0- Wopcb|ow ywcgbodap om|cb|omkc lumop ko ywcycw hcmabhkako khwo{a od kh|owpcp cm{o{cp-;- Kolhmhw poqum hap o pu`oppop

    1- Hkom{hlh`aw" kakc ud mdowc ma{uwab " uda poqum ha ko obodom{cp `cdc uda lumc kokcdmhc z1"7""t o u{hbhvaw `cwwo{adom{o a oywoppc {owdc ko cwkod ka poqum ha o{owdc nowab ka poqum ha-

    7- Hkom{hlh aw uda pu`oppc `cdc uda lumc ko kcdmhc " kophnmamkc ycw a hdanod kcmdowc ma{uwab ycw o u{hbhvaw `cwwo{adom{o a oywoppc {owdc ko cwkod ka pu`oppc o{owdc nowab ka pu oppc-

    0- Woywopom{aw" mud ybamc dumhkc ko ud wolowom hab aw{ophamc" nwlh cp ko poqum hap-?- Wopcb|ow ywcgbodap

    1- Wopcb|ow ywcgbodap om|cb|omkc poqum hap o pu`oppop o cp wopyo{h|cp {owdcp nowahp-

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    ABN> Ynhma ?5

    bnogwa ABN>

    Oywoppop abngwh ap

    1- Op{omkow a yc{om hac o `cmeo`ow ap ywcywhokakop kap cyowaop1- Op{omkow kcp wa hcmahp mc mona{h|cp a {ckcp cp wa hcmahp ap ywcywhokakop appc ha{h|a o `cdu{a{h|a

    ka akhc o ka dub{hybh ac o ap ywcywhokakop khp{whgu{h|ap ka dub{hybh ac woba{h|adom{o akhc o pug{wac-

    7- Op{omkow kcp wa hcmahp mc mona{h|cp a {ckcp cp wa hcmahp" a hkom{hlh ac kc 9 o kc 1 `cdc cpobodom{cp mou{wcp wopyo{h|adom{o ka akhc o ka dub{hybh ac ko mdowcp" kc 9 `cdc obodom{cagpcw|om{o ka dub{hybh ac oko kchp mdowcp `cdc hm|owpcp ud kc cu{wc quamkc c wopyo{h|cywcku{c lcw hnuab a1-

    0- Op{omkow kcp wa hcmahp mc mona{h|cp a {ckcp cp wa hcmahp c wo`cmeo hdom{c ko quo c hm|owpc koud kakc mdowc mc mubc hnuab a " c hm|owpc kc ywcku{c hnuab ac ywcku{c kcp hm|owpcp" chm|owpc kc quc hom{o hnuab ac quc hom{o kcp hm|owpcp o ko quo" kakcp mdowcp" " o "

    4 % o mc mubcp( o

    4 %" o mc mubcp(-;- Op{omkow kcp wa hcmahp mc mona{h|cp a {ckcp cp wa hcmahp a kolhmhc o ap ywcywhokakop

    ywo|hadom{o op{ukakap kap yc{m hap ko oycom{o ma{uwab ko ud mdowc-?- Wo`cmeo`ow" kakc ud mdowc wa hcmab o ud mdowc ma{uwab " quo %( 4 po lcw yaw o

    %( 4 po lcw dyaw-- Phdybhl h aw o `ab ubaw c |abcw ko oywoppop mudwh`ap om|cb|omkc ap qua{wc cyowaop awh{d{h apo a yc{om hac-

    Wavop quakwakap o gh ap

    7- Cyowaw `cd wavop quakwakap o gh ap wa hcmahp1- Pagow" kakcp kchp mdowcp wa hcmahp ycph{h|cp o `cd 2 " quo 2 " |owhlh amkc op{a

    ywcywhokako od oodybcp `cm`wo{cp" `cmphkowamkc kchp quakwakcp ko bakcp `cd dokhka ko`cdywhdom{c wopyo{h|adom{o hnuahp a o od ko{owdhmaka umhkako" c ponumkc cg{hkc kc ywhdohwcycw ywcbcmnadom{c kcp wopyo{h|cp bakcp-7- Pagow" kakcp kchp mdowcp wa hcmahp ycph{h|cp o `cd 2 " quo 2 " |owhlh amkc op{aywcywhokako od oodybcp `cm`wo{cp" `cmphkowamkc kchp `ugcp ko awop{ap `cd dokhka ko`cdywhdom{c wopyo{h|adom{o hnuahp o od ko{owdhmaka umhkako" c ponumkc cg{hkc kc ywhdohwcycw ywcbcmnadom{c kap wopyo{h|ap awop{ap-

    0- Kophnmaw ycw quakwakcp yowloh{cp %wopyo{h|adom{o `ugcp yowloh{cp( cp quakwakcp%wopyo{h|adom{o `ugcp( kcp mdowcp hm{ohwcp mc mona{h|cp o `cmp{wuhw {agobap ko quakwakcp o`ugcp yowloh{cp-

    ;- Wo cmeo ow" kakc ud quakwakc yowloh{c mc mubc cu" dahp nowabdom{o" ud mdowc wa hcmab hnuabac quc hom{o ko kchp quakwakcp yowloh{cp mc mubcp" quo ohp{od oa{adom{o kchp mdowcp

    wa hcmahp" phd{wh cp ud kc cu{wc" `ufc quakwakc hnuab a" kophnmaw c quo ycph{h|c ycw wahvquakwaka ko o woywopom{$bc ycw -

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    ABN> Ynhma ?8

    ?- Wo`cmeo`ow quo 9 c mh c mdowc wa hcmab `ufc quakwakc hnuab a 9" kophnm$bc ycw wahvquakwaka ko 9 o woywopom{$bc ycw 9-

    - Wo cmeo ow" kakc ud ugc yowloh{c cu" dahp nowabdom{o" ud mdowc wa hcmab hnuab ac quc hom{o

    ko kchp `ugcp yowloh{cp cu ac wopyo{h|c phd{wh c" quo ohp{o ud mh c mdowc wa hcmab `ufc `ugc

    hnuab a" kophnm$bc ycw wahv gh a ko o woywopom{$bc ycw -5- Ywc|aw" u{hbhvamkc a kolhmhc ko wahv `gh a" quo yawa quahpquow o wopyo{h|adom{o hnuahp a

    quc hom{op cu a phd{wh cp ko quc hom{op ko ugcp yowloh{cp mc mubcp" quo {adgd c pc o%yawa 9( " quo 4 " 4 o %yawa 9( 4

    -

    8- Ko{owdhmaw" ma lcwda lwa hcmwha cu `cdc kvhdap" wavop quakwakap %wopyo{h|adom{o `gh ap( komdowcp wa hcmahp quo ycppad pow woywopom{akcp `cdc quc hom{op ko quakwakcp yowloh{cp%wopyo{h|adom{o quc hom{op cu phd{wh`c ko quc hom{op ko ugcp yowloh{cp( ycw hmpyoc ko {agobapko quakwakcp %wopyo{h|adom{o `ugcp( yowloh{cp-

    19- Wo`cmeo`ow" kakc ud mdowc wa hcmab woywopom{akc `cdc kvhda o {ab quo kopbc`amkc a |wnubakuap %wopyo{h|adom{o {wp( `apap ko hdahp yawa a khwoh{a cg{odcp ud quakwakc %wopyo{h|adom{o`ugc( yowloh{c" quo ycpp|ob woywopom{$bc `cdc lwac ko hdab `ufcp {owdcp pc quakwakcp%wopyo{h|adom{o ugcp( yowloh{cp o ko{owdhmaw a woywopom{ac ko hdab ka wopyo{h|a wahv quakwaka%wopyo{h|adom{o gh a(-

    11- Ko{owdhmaw ap woywopom{aop ko hdahp ko wavop quakwakap %wopyo{h|adom{o `gh ap( ko mdowcpwa hcmahp woywopom{akcp ma lcwda ko kvhdap" cg{hkap ycw kopbc`adom{c ka |wnuba yawa a opquowka

    ud mdowc yaw ko `apap ko hdahp %wopyo{h|adom{o ud mdowc ko `apap ko hdahp quo pofa db{hybcko {wp( od woywopom{aop ko hdahp ko mdowcp wo{hwakcp ka `cbuma ko wopub{akcp ko {agobap koquakwakcp %wopyo{h|adom{o ugcp( yowloh{cp-

    Oquaop abngwh`ap

    0- Wopcb|ow oquaop kc 1- nwau1- Hkom{hlh aw" kakap kuap lumop o " uda oquac `cd uda hm`nmh{a `cdc uda

    oywoppc ka lcwda %( 4 %(" kophnmaw" mop{o `cm{o{c" %( ycw ywhdohwc dodgwc kaoquac" %( ycw ponumkc dodgwc ka oquac" quabquow {ab quo%( 4 %( ycwpcbuc ka oquac o c cmfum{c kap pcbuop ycw `cmfum{c$pcbuc-

    7- Kophnmaw uda oquac ycw hdycpp|ob quamkc c `cmfum{c$pcbuc |avhc o ycw ycpp|ob mc `apc`cm{wwhc-

    0- Hkom{hlh aw kuap oquaop `cdc oquh|abom{op quamkc {h|owod c dopdc `cmfum{c$pcbuc ou{hbhvaw cwwo{adom{o c pdgcbc -

    ;- Hkom{hlh aw uda oquac %( 4 %( `cdc mudwh a quamkc o pc lumop mudwh ap"wo`cmeo ow quo po cg{d uda oquac oquh|abom{o akh hcmamkc cu pug{wahmkc ud dopdc mdowca adgcp cp dodgwcp" cu dub{hybh amkc$cp cu kh|hkhmkc$cp ycw ud dopdc mdowc mc mubc okophnmaw op{ap ywcywhokakop ycw ywhm`yhcp ko oquh|abm ha-

    ?- Kophnmaw ycw oquac bhmoaw `cd uda hm`nmh{a cu phdybopdom{o oquac bhmoaw quabquowoquac%( 4 %( {ab quoo pc lumop alhmp-

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    ABN> Ynhma - Ywc|aw" kakcp mdowcp wa hcmahp o" quo a oquac 4 hdycpp|ob po 4 9 o 9" quoquabquow mdowc pcbuc po 4 4 9 %oquac bhmoaw ycpp|ob hmko{owdhmaka(" quo po 9 amh a pcbuc c mdowc wa hcmab

    %oquac bhmoaw ycpp|ob ko{owdhmaka( o kophnmaw uda

    oquac bhmoaw ko{owdhmaka ycw oquac abngwh`a ko 1- nwau-5- Wopcb|ow oquaop bhmoawop khp{hmnuhmkc ap quo pc hdycpp|ohp kap quo pc ycpp|ohp o om{wo op{ap

    ap quo pc ko{owdhmakap cu hmko{owdhmakap" o aywopom{aw a pcbuc ko uda oquac abngwh a ko1- nwau ma lcwda ko lwac hwwoku{|ob cu mudowab dhp{c cu ma lcwda ko kvhda `cd udaaywchdac pcbh h{aka-

    ;- Wopcb|ow ywcgbodap1- Wopcb|ow ywcgbodap om|cb|omkc oquaop bhmoawop-

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    C[K> Ynhma

    Khanwadap ko o{wodcp o quaw{hp

    1- Woywopom{aw" {wa{aw o amabhpaw `cmfum{cp ko kakcp1- @cmp{wuhw" `cmphkowakc ud cmfum{c ko kakcp mudwh`cp" uda poqum ha wop om{o od pom{hkc ba{c

    `ufcp |abcwop pofad cp |abcwop kap `a{oncwhap" woyo{hkcp ud mdowc ko |ovop hnuab wopyo{h|alwoqum ha agpcbu{a" kophnmamkc$a ycw poqum ha cwkomaka kcp kakcp-

    7- Hkom{hl h`aw" kakc ud cmfum{c ko kakcp mudwh cp" a dokhama `cdc c |abcw `om{wab mc `apc ko pow dyaw %|abcw kc obodom{c ko cwkod ka poqum ha cwkomaka kcp kakcp(" cu cdc a dkhaawh{d{h a kcp kchp |abcwop `om{wahp %|abcwop kcp obodom{cp ko cwkomp

    o * 1 ka poqum ha

    cwkomaka kcp kakcp( mc `apc ko pow yaw o woywopom{aw a dokhama ycw cu -0- Ko{owdhmaw a dokhama ko ud cmfum{c ko kakcp mudwh`cp-;- Hkom{hlh`aw" kakc ud `cmfum{c ko kakcp mudwh cp %pomkc dyaw(" c ywhdohwc quaw{hb

    %wopyo{h|adom{o {ow`ohwc quaw{hb( `cdc a dokhama kc pug`cmfum{c ko kakcp ko cwkod hmlowhcw

    %wopyo{h|adom{o puyowhcw( a ma poqum ha cwkomaka kc cmfum{c hmh hab ko kakcp-

    ?- Hkom{hlh`aw" kakc ud `cmfum{c ko kakcp mudwh cp %pomkc yaw(" c ywhdohwc quaw{hb%wopyo{h|adom{o {ow`ohwc quaw{hb( `cdc a dokhama kc pug`cmfum{c ko kakcp ko cwkod hmlowhcw cu

    hnuab a %wopyo{h|adom{o puyowhcw cu hnuab a

    * 1( ma poqum ha cwkomaka kc `cmfum{c hmh hab ko

    kakcp-- Wo`cmeo`ow" kakc ud `cmfum{c ko kakcp mudwh cp" quo yobc domcp ud quaw{c kcp kakcp {d|abcwop mc puyowhcwop ac ywhdohwc quaw{hb o quo yobc domcp {wp quaw{cp kcp kakcp {d |abcwop mcpuyowhcwop ac {ow`ohwc quaw{hb-

    5- Woywopom{aw `cmfum{cp ko kakcp quam{h{a{h|cp od khanwadap ko o{wodcp o quaw{ hp-8- Kophnmaw ycw dokhkap ko bc`abhvac a dkha" a dcka" a dokhama o cp quaw{hp ko ud `cmfum{c ko

    kakcp-19- Kophnmaw ud cmfum{c ko kakcp cdc phd{wh c quamkc a dkha" a dcka o a dokhama pc hnuahp-11- Hkom{hlh`aw a adybh{uko hm{owquaw{hp `cdc a khlowoma om{wo c 0- quaw{hb o c 1- quaw{hb %Q Q(

    o kophnmaw ycw dokhkap ko khpyowpc a adybh{uko o a adybh{uko hm{owquaw{hp-

    7- Wopcb|ow ywcgbodap1- Wopcb|ow ywcgbodap om|cb|omkc a ambhpo ko kakcp woywopom{akcp od {agobap ko lwoqum ha"

    nwlh cp ko gawwap o od khanwadap ko o{wodcp o quaw{hp-

  • 7/31/2019 mec 2012_proposta de metas curriculares do ensino bsico, matemtica [verso final]

    63/89

    MC5 Ynhma

  • 7/31/2019 mec 2012_proposta de metas curriculares do ensino bsico, matemtica [verso final]

    64/89

    MC5 Ynhma

  • 7/31/2019 mec 2012_proposta de metas curriculares do ensino bsico, matemtica [verso final]

    65/89

    ND5 Ynhma

  • 7/31/2019 mec 2012_proposta de metas curriculares do ensino bsico, matemtica [verso final]

    66/89

    ND5 Ynhma

  • 7/31/2019 mec 2012_proposta de metas curriculares do ensino bsico, matemtica [verso final]

    67/89

    ND5 Ynhma

  • 7/31/2019 mec 2012_proposta de metas curriculares do ensino bsico, matemtica [verso final]

    68/89

    LPP5 Ynhma

    Lumop" Poqum hap o Pu oppop LPP5

    Nwlh cp ko lumop alhmp

    1- Hkom{hlh aw ap oquaop kap wo{ap kc ybamc1- Kodcmp{waw" u{hbhvamkc c {ocwoda ko [abop" quo ap wo{ap mc |ow{h ahp mud kakc ybamc quo yappad

    yoba cwhnod ko ud wolowom hab `aw{ophamc mobo l hakc pc cp nwlh cp kap lumop bhmoawop o fup{hlh`awquo c colh hom{o ko uda lumc bhmoaw hnuab cwkomaka kc ycm{c kc nwlh`c cd ag hppa hnuab a1o wavc ko ywcycw hcmabhkako om{wo a cwkomaka o a ag hppa ko quabquow ycm{c ka wo{a"kophnmamkc$c ycw ko bh|o ka wo{a-

    7- Wo`cmeo`ow" kaka uda lumc6 " % ( quo c nwlh c ka lumc kolhmhka yoba oywoppc%( 4 %( * %pomkc ud mdowc woab( po cg{d kc nwlh c ka lumc ycw {wampbac ko|o{cw kolhmhkc yobc pondom{c cwhom{akc ko cwhnod mc ycm{c ko `ccwkomakap %9"9( o o{wodhkako

    ko ccwkomakap%9"(-0- Wo`cmeo`ow quo ap wo{ap mc |ow{h ahp pc cp nwlh cp kap lumop alhmp o" kaka uda wo{a kooquac 4 * " kophnmaw ycw ko bh|o ka wo{a o ycw cwkomaka ma cwhnod-

    ;- Wo`cmeo`ow quo kuap wo{ap mc |ow{h ahp pc yawabobap quamkc %o ayomap quamkc( {d c dopdcko bh|o-

    ?- Wo`cmeo`ow" kaka uda wo{a ko{owdhmaka ycw kchp ycm{cp" ko `ccwkomakap %"( o ko`ccwkomakap%"(" quo a wo{a mc |ow{h ab quamkc %o ayomap quamkc( o quo" moppo`apc" c ko bh|o ko hnuab a -

  • 7/31/2019 mec 2012_proposta de metas curriculares do ensino bsico, matemtica [verso final]

    69/89

    ABN5 Ynhma

  • 7/31/2019 mec 2012_proposta de metas curriculares do ensino bsico, matemtica [verso final]

    70/89

    ABN5 Ynhma

  • 7/31/2019 mec 2012_proposta de metas curriculares do ensino bsico, matemtica [verso final]

    71/89

    ABN5 Ynhma >9

    nocdo{wh adom{o hnuabkakop quo cp om|cb|ad-7- La{cwhvaw ycbhmdhcp `cbc`amkc la{cwop `cdump od o|hkm ha o u{hbhvamkc cp `apcp mc{|ohp ka

    dub{hybh`ac ko ycbhmdhcp-

    Oquaop hm`cdybo{ap ko 7- nwau

    ?- Wopcb|ow oquaop kc 7- nwau1- Kophnmaw ycw oquac kc 7- nwau `cd uda hm`nmh{a uda oquac oquh|abom{o quo po cg{d

    hnuabamkc a 9 ud ycbhmdhc ko 7- nwau cd uda |awh|ob-7- Kophnmaw a oquac kc 7- nwau * * 4 9 % 9( ycw hm`cdybo{a quamkc 4 9 cu

    4 9-0- Ywc|aw quo po ud ywcku{c ko mdowcp mubc om{c ud kcp la{cwop mubc o kophnmaw op{a

    ywcywhokako ycw boh kc amubadom{c kc ywcku{c-;- Kodcmp{waw quo a oquac kc 7- nwau 4 mc {od pcbuop po 2 9" {od uda mh a pcbuc

    po 4 9 o {od kuap pcbuop phd{wh`ap po = 9-?- Aybh aw a boh kc amubadom{c kc ywcku{c wopcbuc ko oquaop ko 7- nwau" wo`cmeo`omkc" od

    `aka apc" quo mc ohp{od dahp kc quo kuap pcbuop o phdybhlh`amkc ap oywoppop mudwh`ap kapo|om{uahp pcbuop-

    - Wo cmeo ow o wopcb|ow oquaop bh{owahp od cwkod a uda kap hm`nmh{ap1- Kophnmaw ycw oquac bh{owab uda oquac quo po cg{d hnuabamkc kchp ycbhmdhcp ko lcwda quo

    yobc domcp ud kcp colh hom{op om|cb|a uda cu dahp bo{wap-7- Wopcb|ow oquaop bh{owahp kc 1- o kc 7- nwau od cwkod a uda kaka hm`nmh{a `cmphkowamkc

    ayomap oppa hm`nmh{a `cdc |awh|ob kcp ycbhmdhcp om|cb|hkcp o ap wop{am{op bo{wap `cdc`cmp{am{op-

    Php{odap ko kuap oquaop kc 1- nwau `cd kuap hm`nmh{ap

    5- Wopcb|ow php{odap ko kuap oquaop kc 1- nwau a kuap hm`nmh{ap1- Kophnmaw ycw php{oda ko kuap oquaop kc 1- nwau `cd kuap hm`nmh{ap o ud php{oda ko

    kuap oquaop mudwh ap woku{|ohp lcwda * 4 {ab quo cp `colh hom{op o mc pcadgcp mubcp o u{hbhvaw `cwwo{adom{o a oywoppc php{oda ma lcwda `ammh a-

    7- Kophnmaw" lhaka uda cwkod yawa ap hm`nmh{ap" c yaw cwkomakc ko mdowcp %"( `cdc pcbucko ud php{oda `cd kuap hm`nmh{ap quamkc" ac pugp{h{uhw od `aka uda kap oquaop a ywhdohwahm`nmh{a ycw o a ponumka ycw po cg{d kuap hnuabkakop |owkakohwap o ycw php{odapoquh|abom{op php{odap cd c dopdc cmfum{c ko pcbuop-

    0- Hm{owywo{aw nocdo{wh adom{o cp php{odap ko kuap oquaop ko 1- nwau mud ybamc dumhkc ko udwolowom hab `aw{ophamc o wo`cmeo`ow quo ud {ab php{oda cu mc ycppuh pcbuop %php{oda

    hdycpp|ob(" cu uda mh a pcbuc %php{oda ycpp|ob o ko{owdhmakc( cu ap pcbuop pc ap`ccwkomakap kcp ycm{cp ka wo{a kolhmhka ycw uda kap kuap oquaop oquh|abom{op kc php{oda

  • 7/31/2019 mec 2012_proposta de metas curriculares do ensino bsico, matemtica [verso final]

    72/89

    ABN5 Ynhma >1

    %php{oda ycpp|ob o hmko{owdhmakc(-;- Wopcb|ow php{odap ko kuap oquaop kc 1- nwau yobc d{ckc ko pugp{h{uhc-

    8- Wopcb|ow ywcgbodap0- Wopcb|ow ywcgbodap u{hbhvamkc php{odap ko oquaop kc 1- nwau cd kuap hm`nmh{ap-

  • 7/31/2019 mec 2012_proposta de metas curriculares do ensino bsico, matemtica [verso final]

    73/89

    C[K5 Ynhma >7

    Cwnamhvac o {wa{adom{c ko kakcp C[K5

    Ybamoadom{c ko ud op{ukc op{a{p{h c

    1- Hkom{hlh`aw abnudap lapop kc ybamoadom{c ko ud op{ukc op{a{p{h`c

    1- Kophnmaw ycw adcp{wa ud pug`cmfum{c ko uda ycyubac ma quab op{c kolhmhkap uda cu dahp|awh|ohp op{a{p{h`ap o ycw khdompc ka adcp{wa c mdowc ko umhkakop op{a{p{h`ap yow{om om{op adcp{wa-

    7- Pagow quo ohp{od `wh{whcp yawa cg{omc ko uda adcp{wa ko lcwda quo ap dokhkap ko bc`abhvaco cu{wap dokhkap op{a{p{h ap `ab ubakap u{hbhvamkc cp kakcp ka adcp{wa pofad op{hda{h|ap`cmphkowakap akoquakap kap `cwwopycmkom{op dokhkap ka ycyubac o kophnmaw ycwwoywopom{a{h|a uda adcp{wa quo `udywo oppop `wh{whcp o ycw om|hopaka mc `apc `cm{wwhc-

    0- Hkom{hl h aw abnump d{ckcp ko wo cbea ko kakcp-

  • 7/31/2019 mec 2012_proposta de metas curriculares do ensino bsico, matemtica [verso final]

    74/89

    MC8 Ynhma >0

    8AMCMdowcp o Cyowaop MC8

    Wobac ko cwkod

    1- Wo`cmeo`ow ywcywhokakop ka wobac ko cwkod od1- Wo`cmeo`ow" kakcp {wp mdowcp wa hcmahp" o woywopom{akcp od lcwda ko lwac `cd 2 "

    quo po {od * 2 * `cdyawamkc ap lwaop wopub{am{op o pagow quo op{a ywcywhokako poop{omko a {ckcp cp mdowcp woahp-

    7- Wo`cmeo`ow" kakcp {wp mdowcp wa hcmahp" o woywopom{akcp od lcwda ko lwac `cd 2 o = 9" quo po {od 2 `cdyawamkc ap lwaop wopub{am{op o pagow quo op{a ywcywhokako poop{omko a {ckcp cp mdowcp woahp-

    0- Wo`cmeo`ow" kakcp {wp mdowcp wa hcmahp" o woywopom{akcp od lcwda ko lwac cd 2 o 2 9" quo po {od = `cdyawamkc ap lwaop wopub{am{op o pagow quo op{a ywcywhokako poop{omko a {ckcp cp mdowcp woahp-

    ;- Ywc|aw quo yawa"" o mdowcp woahp `cd 2 o 2 po {od * 2 * o" mc `apc ko"" o powod ycph{h|cp" 2 -

    ?- Fup{hlh aw" kakcp kchp mdowcp woahp ycph{h|cp o" quo po 2 om{c 2 o 2 "cgpow|amkc quo op{a b{hda ywcywhokako po op{omko a quahpquow kchp mdowcp woahp-

    - Phdybhlh aw o cwkomaw oywoppop mudwh ap woahp quo om|cb|ad lwaop" kvhdap o wakh ahp

    u{hb hvamkc ap ywcywhokakop ka wobac ko cwkod-

    7- Kolhmhw hm{ow|abcp ko mdowcp woahp1- Hkom{hlh aw" kakcp kchp mdowcp woahp o %`cd 2 (" cp hm{ow|abcp mc konomowakcp" cu

    phdybopdom{o hm{ow|abcp" Z"T " T"Z " Z"Z o T"T `cdc cp `cmfum{cp `cmp{h{ukcp yobcpmdowcp woahp {ahp quo" wopyo{h|adom{o" " 2 2 " 2 o 2 "kophnmamkc ycw o{wodcp kop{op hm{ow|abcp cp mdowcp o o u{hbhvaw `cwwo{adom{o cp {owdcphm{ow|abc lo`eakc" hm{ow|abc agow{c o adybh{uko ko ud hm{ow|abc-

    7- Hkom{hlh aw" kakc ud mdowc woab " cp hm{ow|abcp Z"*Z" T"*Z" T "Z o T "T `cdc cp`cmfum{cp `cmp{h{ukcp yobcp mdowcp woahp {ahp quo" wopyo{h|adom{o" " = " 2 o o kophnmaw cp pdgcbcp o * ycw" wopyo{h|adom{o" domcp hmlhmh{c o dahphmlhmh{c-

    0- Hkom{hlh aw c `cmfum{c kcp mdowcp woahp `cdc hm{ow|abc" woywopom{amkc$c ycw T"*Z -;- Woywopom{aw hm{ow|abcp ma wo{a mudwh`a-?- Ko{owdhmaw hm{owpoop o woumhop ko hm{ow|abcp ko mdowcp woahp" woywopom{amkc$ap" quamkc

    ycpp|ob" pcg a lcwda ko ud hm{ow|abc cu" apc cm{wwhc" ko uda umhc ko hm{ow|abcp khpfum{cp-

    0- Cyowaw `cd |abcwop aywchdakcp ko mdowcp woahp1- Hkom{hl h`aw" kakc ud mdowc o ud mdowc ycph{h|c " ud mdowc `cdc uda aywchdac ko `cd owwc hmlowhcw a quamkc T " * Z -

  • 7/31/2019 mec 2012_proposta de metas curriculares do ensino bsico, matemtica [verso final]

    75/89

    MC8 Ynhma >;

    7- Wo`cmeo`ow" kakcp kchp mdowcp woahp o o aywchdaop o wopyo{h|adom{o ko o `cdowwc hmlowhcw a " quo * uda aywchdac ko * cd owwc hmlowhcw a7-

    0- Aywchdaw c ywcku{c ko kchp mdowcp woahp yobc ywcku{c ko aywchdaop kcp la{cwop" dafcwamkcycw omquakwadom{cp c owwc `cdo{hkc-

    ;- Aywchdaw wavop quakwakap %wopyo{h|adom{o `gh ap( `cd owwc hmlowhcw a ud kakc |abcw ycph{h|c "ko{owdhmamkc mdowcp wa hcmahp ufa khp{m hapofa hmlowhcw a o ufcp quakwakcp %wopyo{h|adom{o`ugcp( omquakwod cp mdowcp kakcp-

    ;- Wopcb|ow ywcgbodap1- Wopcb|ow ywcgbodap om|cb|omkc aywchdaop ko dokhkap ko nwamkovap od cm{o{cp kh|owpcp-

  • 7/31/2019 mec 2012_proposta de metas curriculares do ensino bsico, matemtica [verso final]

    76/89

    ND8 Ynhma >?

    Nocdo{wha o Dokhka ND8

    Ahcda{hvac kap {ocwhap Da{od{h ap

    1- _{hbhvaw `cwwo{adom{o c |c`agubwhc ywywhc kc d{ckc ahcd{h`c1- Hkom{hlh aw uda {ocwha `cdc ud kakc `cmfum{c ko ywcycphop `cmphkowakap |owkakohwap"

    hm buhmkc$po {adgd ma {ocwha {ckap ap ywcycphop quo kobap lcwod koku{|ohp bcnh`adom{o-7- Wo`cmeo`ow" mc dgh{c ko uda {ocwha" quo yawa mc po hm`cwwow od wa hc`mhc hw`ubaw cu muda

    `akoha ko kokuop pod lhd" mo`oppwhc lhaw abnump cgfo{cp %cgfo{cp ywhdh{h|cp(" abnudapwobaop om{wo cgfo{cp quo mc po kolhmod a yaw{hw ko cu{wap %wobaop ywhdh{h|ap(" o abnudapywcycphop quo po cmphkowad |owkakohwap pod ap kokuvhw ko cu{wap %ahcdap(-

    0- Kophnmaw ycw ahcd{h a ko uda {ocwha ud `cmfum{c ko cgfo{cp ywhdh{h|cp" wobaop ywhdh{h|ap oahcdap a yaw{hw kcp quahp {ckcp cp cgfo{cp o wobaop ka {ocwha ycppad pow kolhmhkcp o {ckap ap

    ywcycphop |owkakohwap kodcmp{wakap o u{hb hvaw cwwo{adom{o cp {owdcp kolhmhc" {ocwoda okodcmp{wac ko ud {ocwoda-;- Pagow quo cp cgfo{cp ywhdh{h|cp" wobaop ywhdh{h|ap o ahcdap ko abnudap {ocwhap yckod {ow

    hm{owywo{aop hm{uh{h|ap quo yowdh{od aybh aw cp {ocwodap wopcbuc ko ywcgbodap ka |hka woabo" od `cmpoqum ha" {op{aw a |abhkako ka {ocwha `cdc dckobc ka woabhkako od ko{owdhmakc`cm{o{c-

    ?- Khp{hmnuhw `cmkhc mo`oppwha ko `cmkhc pulh hom{o o u{hbhvaw `cwwo{adom{o cp {owdcpehy{opo o {opo ko ud {ocwoda o c pdgcbc -

  • 7/31/2019 mec 2012_proposta de metas curriculares d