Projeto Desafios5 - Santillana

GUIA DE RECURSOS DO PROFESSOR Desenvolvimento curricular Guiões didácticos Fichas Mais recursos Ferramentas TIC Técnicas e métodos de estudo Vocabulário escolar Registos do professor

Todo o material deste livro está disponível no Manual Interactivo Multimédia do professor.

Matemática

ano

EDUCATECA

Matemática GUIA DE RECURSOS DO PROFESSOR

ano

EDUCATECA

O Projecto Desafios de Matemática destinado ao 5.o ano de escolaridade, 2.o Ciclo do Ensino Básico, é uma obra colectiva, concebida e criada pelo Departamento de Investigações e Edições Educativas da Santillana-Constância, sob a direcção de Sílvia Vasconcelos. CONTEÚDO DA OBRA Elvira Santos Maria José Costa Paula Pedroso Paulo Almeida Sílvia Alves A obra também contempla conteúdos realizados por: Cristina Negra, Emanuel Martinho, José A. Almodóvar, Pilar Garcia, Magdalena Rodriguez, Maria C. Elordi Zamanillo Tradução: João Quina Edições EQUIPA TÉCNICA Chefe de Equipa Técnica: Patrícia Boleto Modelo Gráfico e Capa: Carla Julião Ilustração da Capa: Luís Prina Ilustrações: Ana Mesquita, Paulo Oliveira, NósnaLinha, João Pinto, Jorge Salas, José Maria Valera, Jesus Aguado, Alex Tito, Carolina Temprado, Gabriel Beltrán, Juan Carlos Carmona, Francisco Linhart, Teresa Martí Paginação: Célia Neves, Christophe Marques, João Valado, Leonor Ferreira e Teresa Santos Documentalista: Paulo Ferreira Revisão: Ana Abranches, Ana Felícia e Catarina Pereira EDITORA Alexandra Azevedo Isaías

© 2010 Estrada da Outurela, 118 2794-084 CARNAXIDE APOIO AO PROFESSOR Tel.: 214 246 901 Fax: 214 246 909 [email protected] APOIO AO LIVREIRO Tel.: 214 246 906 Fax: 214 246 907 [email protected] Internet: www.santillana.pt Impressão e acabamento: Printer Portuguesa ISBN: 978-972-761-904-7 1.a Edição 1.a Tiragem: 2000 Depósito Legal: 306275/10

Índice Apresentação do Projecto Desafios t .BUFSJBJTEPBMVOP t .BUFSJBJTEPQSPGFTTPS

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Desenvolvimento curricular

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Guiões didácticos

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Ferramentas TIC

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Técnicas e métodos de estudo

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Vocabulário escolar

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Registos do professor

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Mais recursos

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3

O Projecto Desafios Bastian olhou para o livro: «Gostava de saber», disse a sós consigo, «o que se passa dentro de um livro quando ele está fechado. É claro que só lá tem dentro letras impressas em papel mas… alguma coisa se deve lá passar, porque, mal eu o abro, a história surge imediatamente. Há personagens que eu não conheço ainda, há todas as aventuras, todas as façanhas e todos os combates possíveis… há por vezes tempestades e não faltam cidades e países estrangeiros. Tudo isso está de um ou de outro modo dentro do livro, antes de ele ser aberto. Tem de se ler primeiro, é claro. Mas, de facto, está lá tudo. Só queria saber como.» E, de súbito, sentiu-se a viver um momento de certa solenidade. Sentou-se confortavelmente, pegou no livro, abriu-o na primeira página e começou a ler. MICHAEL ENDE, A História Interminável

De sa fia r Lançar uma provocação; provocar para desafio; espicaçar; incitar; estimular; convidar; enfrentar; afrontar; questionar; tirar o fio a; …

1 Aprender

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4

2 Sonhar

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1 Rigor

e qualidade

2 Ordem

e organização

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A nossa meta é a segurança educativa.

5

Desenvolvimento das competências *ODPSQPSBNPT QSPHSBNBT TFDÎÜFT FSFDVSTPTRVF EFTFOWPMWFN BTDPNQFUÐODJBT FQSPQPSDJPOBN BFEVDBÎÍPJOUFHSBM EPTBMVOPT DPN FTQFDJBMBUFOÎÍPQBSBB DPNQFUÐODJBEFMFJUVSB QBSBBDPNQFUÐODJB DJFOUÓGJDBFNBUFNÈUJDB FQBSBBFEVDBÎÍPQBSB BDJEBEBOJB A nossa meta é a excelência educativa.

3

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A nossa meta é a educação para o século XXI.

4

A nossa meta é a eficácia educativa.

7

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A nossa meta é a riqueza educativa.

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A nossa meta é a autonomia educativa.

6

Recursos didácticos complementares

A nossa meta é a motivação de alunos e professores.

8

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Agora, propomos-lhe um desafio: partilhar e desenvolver um projecto educativo de qualidade e inovador. Aceite-o!

5

M a te r ia is d o a lu n o

Projecto Desafios

na Matemática de 5.o ano

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*Estes elementos formam parte do bloco pedagógico. Santillana-Constância recomenda o seu uso em conjunto, mas podem ser adquiridos separadamente.

1

Desenvolver a curiosidade pelo estudo da Matemática JEFOUJGJDBOEPOBTVBWJWÐODJB RVPUJEJBOBFMFNFOUPT HFPNÏUSJDPTFRVBOUJUBUJWPT

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5

Adquirir destreza na realização de actividades FYQMPSBOEP BDPNQPOFOUFQSÈUJDB EBEJTDJQMJOBFBBQSFFOTÍPQMFOB EBTDPNQFUÐODJBT

6

3

6

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1

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Situações de partida QSPQÜFN QSPCMFNBUJ[BÎÜFT NBUFNÈUJDBT BQBSUJS EFFMFNFOUPT EPRVPUJEJBOP

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Caixas de definições FYQMJDBNPTDPODFJUPT GVOEBNFOUBJTFNUPEBTBT QÈHJOBTEFDPOUFÞEPT

7

M a te r ia is d o a lu n o

3

Para compreender e interpretar os conteúdos

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4

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8

Actividades de integração DPOTPMJEBN PTDPOIFDJNFOUPT BERVJSJEPTFNUPEB BVOJEBEF

5

Para progredir na aprendizagem

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6

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9

M a te r ia is d o p r o f e ss o r

Projecto Desafios

na Matemática de 5.o ano

$POKVOUPEFNBUFSJBJTEFTFOWPMWJEPTQBSBGBDJMJUBSBBDUJWJEBEFEPDFOUF OBQSPHSBNBÎÍPFQSFQBSBÎÍPEBTBVMBT livro do professor, educateca — guia de recursos do professor — e Manual Interactivo Multimédia (MIM) do professor. "QSFTFOUBNHSBOEFOÞNFSPEFSFDVSTPTEJWFSTJGJDBEPT RVFQPTTJCJMJUBNBPQSPGFTTPSBQFSTPOBMJ[BÎÍP EPTNFTNPTFPVTPEFFTUSBUÏHJBTBMUFSOBUJWBTOBTVBQSÈUJDBMFDUJWB

Livro do professor

Educateca Manual Interactivo Multimédia

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Expondo nas laterais… … sugestões metodológicas… … soluções das actividades…

10

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11


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Desenvolvimento curricular DPNQFUÐODJBT OPWPQSPHSBNB FQMBOJGJDBÎÍPBOVBM

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12

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Manual do Geogebra.

Outras ferramentas TIC. Técnicas e métodos de estudo.

Vocabulário escolar. Registos do professor.

13


Projecto Desafios

Multimédia

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1 Pertinência

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2

5

Utilidade

8

Complementariedade

14

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35

PARTE


1

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&TUBGJOBMJEBEFEFWFTFSFOUFOEJEBDPNPBJODMVTÍPOPEFTFOWPMWJNFOUPEPTBMVOPTEB t DPNQSFFOTÍPEFDPODFJUPT SFMBÎÜFT NÏUPEPTFQSPDFEJNFOUPTNBUFNÈUJDPTFEBDBQBDJEBEFEFPTVUJMJ[BS OBBOÈMJTF JOUFSQSFUBÎÍPFSFTPMVÎÍPEFTJUVBÎÜFTFNDPOUFYUPNBUFNÈUJDPFOÍPNBUFNÈUJDP t DBQBDJEBEFEFBOBMJTBSJOGPSNBÎÍPFEFSFTPMWFSFGPSNVMBSQSPCMFNBT JODMVJOEPPTRVFFOWPMWFNQSPDFT TPTEFNPEFMBÎÍPNBUFNÈUJDB t DBQBDJEBEFEFBCTUSBDÎÍPFHFOFSBMJ[BÎÍPFEFDPNQSFFOEFSFFMBCPSBSBSHVNFOUBÎÜFTNBUFNÈUJDBT FSBDJPDÓOJPTMØHJDPT t DBQBDJEBEFEFDPNVOJDBSFN.BUFNÈUJDB PSBMNFOUFFQPSFTDSJUP EFTDSFWFOEP FYQMJDBOEPFKVTUJGJDBOEP BTTVBTJEFJBT QSPDFEJNFOUPTFSBDJPDÓOJPT CFNDPNPPTSFTVMUBEPTFDPODMVTÜFTBRVFDIFHB

C %FTFOWPMWFSBUJUVEFTQPTJUJWBTGBDFË.BUFNÈUJDBFDBQBDJEBEFEFBQSFDJBSFTUBDJÐODJB

&TUBGJOBMJEBEFEFWFTFSFOUFOEJEBDPNPBJODMVTÍPOPEFTFOWPMWJNFOUPEPTBMVOPTEF t BVUPDPOGJBOÎBOPTTFVTDPOIFDJNFOUPTFDBQBDJEBEFTNBUFNÈUJDBT FBVUPOPNJBFEFTFNCBSBÎPOBTVB VUJMJ[BÎÍP t Ë WPOUBEFFTFHVSBOÎBQBSBMJEBSDPNTJUVBÎÜFTRVFFOWPMWBN.BUFNÈUJDBOBWJEBFTDPMBS DPSSFOUF PV QSPGJTTJPOBM t JOUFSFTTFQFMB.BUFNÈUJDBFFNQBSUJMIBSBTQFDUPTEBTVBFYQFSJÐODJBOFTUBDJÐODJB t DPNQSFFOTÍPEB.BUFNÈUJDBDPNPFMFNFOUPEBDVMUVSBIVNBOB JODMVJOEPBTQFDUPTEBTVBIJTUØSJB t DBQBDJEBEFEFSFDPOIFDFSFWBMPSJ[BSPQBQFMEB.BUFNÈUJDBOPTWÈSJPTTFDUPSFTEBWJEBTPDJBMFFN QBSUJDVMBSOPEFTFOWPMWJNFOUPUFDOPMØHJDPFDJFOUÓGJDP t DBQBDJEBEFEFBQSFDJBSBTQFDUPTFTUÏUJDPTEB.BUFNÈUJDB

0CKFDUJWPTHFSBJTEPFOTJOPEB.BUFNÈUJDB ®TGJOBMJEBEFTFOVODJBEBTQBSBPFOTJOPEB.BUFNÈUJDBBTTPDJBTFVNDPOKVOUPEFPCKFDUJWPTHFSBJTQBSBFTTF FOTJOP JHVBMNFOUFGPSNVMBEPTFNUFSNPTEFSFTVMUBEPTFTQFSBEPTQPSQBSUFEPTBMVOPT NBTEFVNBGPSNB NBJTFTQFDÓGJDB0TPCKFDUJWPTHFSBJTQSPQPTUPTDPOUFNQMBN OPTFVDPOKVOUP PEFTFOWPMWJNFOUPEFDPOIFDJ NFOUPT DBQBDJEBEFTFBUJUVEFTNBT EJGFSFOUFNFOUFEPTQSPHSBNBTEF OÍPTÍPBQSFTFOUBEPTFNDBUFHP SJBTTFQBSBEBT QPSTFDPOTJEFSBSRVFEFTUFNPEPTFGBWPSFDFVNBWJTÍPJOUFHSBEPSBEFTUFTUSÐTEPNÓOJPT 0TPCKFDUJWPTHFSBJT OVNBGPSNVMBÎÍPNBJTQSØYJNBEPUSBCBMIPOBEJTDJQMJOB QSFUFOEFNDMBSJGJDBSPTJHOJGJDBEP FBMDBODFEBTGJOBMJEBEFTFOVODJBEBT QSPDVSBNUPSOBSNBJTFYQMÓDJUPPRVFTFFTQFSBEBBQSFOEJ[BHFNEPT BMVOPT WBMPSJ[BOEPBTEJNFOTÜFTEFTTBBQSFOEJ[BHFNSFMBDJPOBEBTDPNBSFQSFTFOUBÎÍP DPNVOJDBÎÍPFSBDJP DÓOJPFN.BUFNÈUJDB BSFTPMVÎÍPEFQSPCMFNBTFBTDPOFYÜFTNBUFNÈUJDBT FBDPNQSFFOTÍPFEJTQPTJÎÍPQBSB VTBSFBQSFDJBSB.BUFNÈUJDBFNDPOUFYUPTEJWFSTPT$PNFTUFFOUFOEJNFOUP PFOTJOPEFTUBEJTDJQMJOBOPTUSÐT DJDMPTEBFTDPMBSJEBEFCÈTJDBEFWFUFSFNWJTUBPTTFHVJOUFTPCKFDUJWPTHFSBJT

36


PARTE

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t UFSQSFTFOUFFVTBSBEFRVBEBNFOUFBTDPOWFOÎÜFTNBUFNÈUJDBT JODMVJOEPBUFSNJOPMPHJBFBTOPUBÎÜFT t FGFDUVBSQSPDFEJNFOUPTFBMHPSJUNPTEFDÈMDVMPSPUJOFJSPT t SFDPOIFDFSBTGJHVSBTHFPNÏUSJDBTCÈTJDBT t FGFDUVBSNFEJÎÜFTFSFBMJ[BSDPOTUSVÎÜFTHFPNÏUSJDBTDPNVNHSBVEFQSFDJTÍPBEFRVBEP t V TBSJOTUSVNFOUPTNBUFNÈUJDPT UBJTDPNPSÏHVBT FTRVBESPT DPNQBTTPT USBOTGFSJEPSFT FUBNCÏN DBMDVMBEPSBTFDPNQVUBEPSFT 4 VQÜFTFRVFPTBMVOPTQPTTVBNBJOGPSNBÎÍPNBUFNÈUJDBCÈTJDBOFDFTTÈSJBQBSBPUSBCBMIPOBEJTDJQMJOB QSPOUBBTFSVUJMJ[BEB"MÏNEJTTP EFWFNTFSDBQB[FTEFSFBMJ[BSPTQSPDFEJNFOUPTFBMHPSJUNPTCÈTJDPTFEF VTBSPTJOTUSVNFOUPTBQSPQSJBEPT&TUBJOGPSNBÎÍPFFTUBTDBQBDJEBEFTTÍPEBPSEFNEPjTBCFSxFEPjTBCFS GB[FSxFOÍPEFWFNTFSWJTUBTBQFOBTDPNPGJOTFNTJNFTNBT NBTTPCSFUVEPDPNPNFJPTQBSBBQPJBS BDPNQSFFOTÍPEB.BUFNÈUJDBQPSQBSUFEPTBMVOPT BVYJMJBOEPPTOBTVBBQMJDBÎÍP FGBWPSFDFSBTVB BQSFDJBÎÍP

0TBMVOPTEFWFNEFTFOWPMWFSVNBDPNQSFFOTÍPEB.BUFNÈUJDB*TUPÏ EFWFNTFSDBQB[FTEF t FOUFOEFSPTJHOJGJDBEPEPTDPODFJUPT SFMBDJPOBOEPPTDPNPVUSPTDPODFJUPTNBUFNÈUJDPTFOÍPNBUFNÈUJDPT t QFSDFCFSBSB[ÍPEFTFSEPTBMHPSJUNPTFQSPDFEJNFOUPTEFSPUJOB t SFDPOIFDFSSFHVMBSJEBEFTFDPNQSFFOEFSSFMBÎÜFT t BDPNQBOIBSFBOBMJTBSVNSBDJPDÓOJPPVFTUSBUÏHJBNBUFNÈUJDB

& TUFPCKFDUJWPÏEBPSEFNEPjTBCFSQPSRVÐxFEFWFTFSQSPTTFHVJEPBDBEBNPNFOUPEBBQSFOEJ[BHFN "DPNQSFFOTÍPEBTJEFJBTNBUFNÈUJDBTQPSQBSUFEPTBMVOPTEFWFTFSQSPDVSBEBOPNPNFOUPEBTVBBQSFO EJ[BHFNFOÍPBQFOBT FWFOUVBMNFOUF FNNPNFOUPTQPTUFSJPSFT0TBMVOPTEFWFNDPNQSFFOEFSDPODFJUPT BMHPSJUNPT QSPDFEJNFOUPTFSFMBÎÜFT FQFSDFCFSB.BUFNÈUJDBDPNPVNBEJTDJQMJOBMØHJDBFDPFSFOUF

0 TBMVOPTEFWFNTFSDBQB[FTEFMJEBSDPNJEFJBTNBUFNÈUJDBTFNEJWFSTBTSFQSFTFOUBÎÜFT*TUPÏ EFWFNTFS DBQB[FTEF t MFSFJOUFSQSFUBSSFQSFTFOUBÎÜFTTJNCØMJDBT QJDUØSJDBT UBCFMBTFHSÈGJDPT FBQSFTFOUBSBEFRVBEBNFOUF JOGPSNBÎÍPFNRVBMRVFSVNBEFTUBTGPSNBTEFSFQSFTFOUBÎÍP t U SBEV[JSJOGPSNBÎÍPBQSFTFOUBEBOVNBGPSNBEFSFQSFTFOUBÎÍPQBSBPVUSB FNQBSUJDVMBSUSBEV[JSQBSB UFSNPTNBUFNÈUJDPTJOGPSNBÎÍPBQSFTFOUBEBFNMJOHVBHFNOBUVSBM t FMBCPSBSFVTBSSFQSFTFOUBÎÜFTQBSBSFHJTUBS PSHBOJ[BSFDPNVOJDBSJEFJBTNBUFNÈUJDBT t VTBSSFQSFTFOUBÎÜFTQBSBNPEFMBS JOUFSQSFUBSFBOBMJTBSTJUVBÎÜFTNBUFNÈUJDBTFOÍPNBUFNÈUJDBT JODMVJOEP GFOØNFOPTOBUVSBJTPVTPDJBJT

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0 TBMVOPTEFWFNTFSDBQB[FTEFDPNVOJDBSBTTVBTJEFJBTFJOUFSQSFUBSBTJEFJBTEPTPVUSPT PSHBOJ[BOEP FDMBSJGJDBOEPPTFVQFOTBNFOUPNBUFNÈUJDP*TUPÏ EFWFNTFSDBQB[FTEF t JOUFSQSFUBSFOVODJBEPTNBUFNÈUJDPTGPSNVMBEPTPSBMNFOUFFQPSFTDSJUP t VTBSBMJOHVBHFNNBUFNÈUJDBQBSBFYQSFTTBSBTJEFJBTNBUFNÈUJDBTDPNQSFDJTÍP t EFTDSFWFSFFYQMJDBS PSBMNFOUFFQPSFTDSJUP BTFTUSBUÏHJBTFQSPDFEJNFOUPTNBUFNÈUJDPTRVFVUJMJ[BN FPTSFTVMUBEPTBRVFDIFHBN t BSHVNFOUBSFEJTDVUJSBTBSHVNFOUBÎÜFTEFPVUSPT

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0TBMVOPTEFWFNTFSDBQB[FTEFSBDJPDJOBSNBUFNBUJDBNFOUFVTBOEPPTDPODFJUPT SFQSFTFOUBÎÜFTFQSPDF EJNFOUPTNBUFNÈUJDPT*TUPÏ EFWFNTFSDBQB[FTEF t TFMFDDJPOBSFVTBSGØSNVMBTFNÏUPEPTNBUFNÈUJDPTQBSBQSPDFTTBSJOGPSNBÎÍP t SFDPOIFDFSFBQSFTFOUBSHFOFSBMJ[BÎÜFTNBUFNÈUJDBTFFYFNQMPTFDPOUSBFYFNQMPTEFVNBBGJSNBÎÍP t KVTUJGJDBSPTSBDJPDÓOJPTRVFFMBCPSBNFBTDPODMVTÜFTBRVFDIFHBN


37

PARTE

t DPNQSFFOEFSPRVFDPOTUJUVJVNBKVTUJGJDBÎÍPFVNBEFNPOTUSBÎÍPFN.BUFNÈUJDBFVTBSWÈSJPTUJQPTEF SBDJPDÓOJPFGPSNBTEFEFNPOTUSBÎÍP t EFTFOWPMWFSFEJTDVUJSBSHVNFOUPTNBUFNÈUJDPT t GPSNVMBSFJOWFTUJHBSDPOKFDUVSBTNBUFNÈUJDBT


1

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0TBMVOPTEFWFNTFSDBQB[FTEFSFTPMWFSQSPCMFNBT*TUPÏ EFWFNTFSDBQB[FTEF t DPNQSFFOEFSQSPCMFNBTFNDPOUFYUPTNBUFNÈUJDPTFOÍPNBUFNÈUJDPTFEFPTSFTPMWFSVUJMJ[BOEPFTUSB UÏHJBTBQSPQSJBEBT t BQSFDJBSBQMBVTJCJMJEBEFEPTSFTVMUBEPTPCUJEPTFBBEFRVBÎÍPBPDPOUFYUPEBTTPMVÎÜFTBRVFDIFHBN t NPOJUPSJ[BSPTFVUSBCBMIPFSFGMFDUJSTPCSFBBEFRVBÎÍPEBTTVBTFTUSBUÏHJBT SFDPOIFDFOEPTJUVBÎÜFTFN RVFQPEFNTFSVUJMJ[BEBTFTUSBUÏHJBTEJGFSFOUFT t GPSNVMBSQSPCMFNBT

SFTPMVÎÍPEFQSPCMFNBTÏVNBBDUJWJEBEFQSJWJMFHJBEBQBSBPTBMVOPTDPOTPMJEBSFN BNQMJBSFNFBQSPGVO " EBSFNPTFVDPOIFDJNFOUPNBUFNÈUJDP/FTUFQSPDFTTP PTBMVOPTEFWFNDPNQSFFOEFSRVFVNQSPCMFNB NBUFNÈUJDP GSFRVFOUFNFOUF QPEFTFSSFTPMWJEPBUSBWÏTEFEJGFSFOUFTFTUSBUÏHJBTFEBSBUFOÎÍPËBOÈMJTF SFUSPTQFDUJWBEBTVBSFTPMVÎÍPFBQSFDJBÎÍPEBTTPMVÎÜFTRVFPCUÐN

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0TBMVOPTEFWFNTFSDBQB[FTEFGB[FS.BUFNÈUJDBEFNPEPBVUØOPNP*TUPÏ EFWFNTFSDBQB[FTEF t PSHBOJ[BSJOGPSNBÎÍPQPSFMFTSFDPMIJEB t JEFOUJGJDBSQPSTJQSØQSJPTRVFTUÜFTFQSPCMFNBTFNDPOUFYUPTWBSJBEPTFEFPTSFTPMWFSBVUPOPNBNFOUF t FYQMPSBSSFHVMBSJEBEFTFGPSNVMBSFJOWFTUJHBSDPOKFDUVSBTNBUFNÈUJDBT

ÍPTFFTQFSB OBUVSBMNFOUF RVFPTBMVOPTEFTDVCSBNPVJOWFOUFNOPWPTSFTVMUBEPTNBUFNÈUJDPTTJHOJGJ / DBUJWPT&TQFSBTF JTTPTJN RVFTFKBNDBQB[FTEFSFBMJ[BSBDUJWJEBEFTNBUFNÈUJDBTDPNBVUPOPNJB UBOUPOB SFTPMVÎÍPEFQSPCMFNBTDPNPOBFYQMPSBÎÍPEFSFHVMBSJEBEFT GPSNVMBOEPFUFTUBOEPDPOKFDUVSBT TFOEP DBQB[FTEFBTBOBMJTBSFTVTUFOUBS%FTUFNPEP QPEFSÍPTFOUJSTFNBJTFOWPMWJEPTOBFMBCPSBÎÍPEPTFV DPOIFDJNFOUPNBUFNÈUJDPFDPOTFHVJSVNBBQSPQSJBÎÍPNBJTQSPGVOEBEFTTFDPOIFDJNFOUP

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38

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PARTE


PFTUÓNVMPFEFTBGJPRVFUBSFGBTDPNDBSÈDUFSQSPCMFNÈUJDPQPEFNQSPQPSDJPOBS FPFOWPMWJNFOUPOBFYQMP SBÎÍPEFSFHVMBSJEBEFT GPSNBTFSFMBÎÜFTNBUFNÈUJDBT TÍPFMFNFOUPTNVJUPJNQPSUBOUFTQBSBPEFTFOWPM WJNFOUPEFTUFUJQPEFBUJUVEFT1PSPVUSPMBEP BIJTUØSJBEB.BUFNÈUJDBQPEFFWJEFODJBSPEFTFOWPMWJNFOUP EFEFUFSNJOBEBTJEFJBTNBUFNÈUJDBT BQSFTFOUBOEPBDPNPVNBDJÐODJBWJWBFFNFWPMVÎÍP & TUFTPCKFDUJWPTHFSBJTJOUFSMJHBNTFQSPGVOEBNFOUFFOÍPFOWPMWFNVNBSFMBÎÍPEFPSEFNFOUSFTJ1PS FYFNQMP TFPDPOIFDJNFOUPEFGBDUPTCÈTJDPTÏVNBDPOEJÎÍPQBSBBDPNQSFFOTÍPEB.BUFNÈUJDB UBNCÏN ÏWFSEBEFRVFBDPNQSFFOTÍPEB.BUFNÈUJDBDPOUSJCVJQBSBVNNBJTTØMJEPDPOIFDJNFOUPEPTGBDUPTCÈTJ DPT0EFTFOWPMWJNFOUPEBDBQBDJEBEFEFDPNVOJDBÎÍPGBWPSFDFPDPOIFDJNFOUPEFGBDUPTCÈTJDPTFBTVB DPNQSFFOTÍP UBMDPNPGBWPSFDFPEFTFOWPMWJNFOUPEPSBDJPDÓOJPFEBDBQBDJEBEFEFSFTPMVÎÍPEFQSPCMF NBT NBTUBNCÏNÏWFSEBEFRVFPEFTFOWPMWJNFOUPEFTUBTDBQBDJEBEFTGBWPSFDFPEPNÓOJPEBDBQBDJEBEF EFDPNVOJDBÎÍPQPSQBSUFEPBMVOP1PSGJN PTUSÐTÞMUJNPTPCKFDUJWPTUÐNVNBGPSUFMJHBÎÍPDPNUPEPTPT PVUSPTFDPOUSJCVFNJHVBMNFOUFQBSBPTFVSFGPSÎPFBQSPGVOEBNFOUP

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PARTE


1

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40


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41

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43

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t "CPSEBSBTPQFSBÎÜFTDPNOÞNFSPT JOUFJSPTFNDPOUFYUP QPSFYFNQMP SFDUBOVNÏSJDB UFNQFSBUVSBT DBSUBT HFPHSÈGJDBTFTBMEPTCBODÈSJPT

t $PNQSFFOEFSFVTBSVNOÞNFSP SBDJPOBMDPNPRVPDJFOUF SFMBÎÍP QBSUFUPEP SB[ÍP NFEJEBFPQFSBEPS t $PNQBSBSFPSEFOBSOÞNFSPTSBDJPOBJT SFQSFTFOUBEPTEFEJGFSFOUFTGPSNBT t -PDBMJ[BSFQPTJDJPOBSOBSFDUB OVNÏSJDBVNOÞNFSPSBDJPOBMOÍP OFHBUJWPSFQSFTFOUBEPOBTTVBT EJGFSFOUFTGPSNBT t 3FQSFTFOUBSTPCBGPSNBEFGSBDÎÍP VNOÞNFSPSBDJPOBMOÍPOFHBUJWP EBEPQPSVNBEÓ[JNBGJOJUB t "EJDJPOBS TVCUSBJS NVMUJQMJDBSFEJWJEJS OÞNFSPTSBDJPOBJTOÍPOFHBUJWPT SFQSFTFOUBEPTFNEJGFSFOUFTGPSNBT t $PNQSFFOEFSPFGFJUPEFNVMUJQMJDBS EJWJEJS VNOÞNFSPSBDJPOBMOÍP OFHBUJWPQPSVNOÞNFSPNFOPSRVF t $PNQSFFOEFSBOPÎÍPEFJOWFSTP EFVNOÞNFSP t $BMDVMBSBQPUÐODJBEFFYQPFOUF OBUVSBMEFVNOÞNFSPSBDJPOBMOÍP OFHBUJWP SFQSFTFOUBEPOBTTVBT EJGFSFOUFTGPSNBT t *EFOUJGJDBSFEBSFYFNQMPTEFGSBDÎÜFT FRVJWBMFOUFTBVNBEBEBGSBDÎÍP FFTDSFWFSVNBGSBDÎÍPOBTVBGPSNB JSSFEVUÓWFM t 6UJMJ[BSFTUSBUÏHJBTEFDÈMDVMPNFOUBM FFTDSJUPQBSBBTRVBUSPPQFSBÎÜFT VTBOEPBTTVBTQSPQSJFEBEFT

t 3FDPSSFSBSFQSFTFOUBÎÜFTEFOÞNFSPT QPSGSBDÎÜFT EFDJNBJTFOVNFSBJT NJTUPT t 4PMJDJUBSBMPDBMJ[BÎÍPFP QPTJDJPOBNFOUPOBSFDUBOVNÏSJDB EFOÞNFSPTSBDJPOBJT DPNP QPS FYFNQMP F F t 6TBSTJUVBÎÜFTEFNFEJEBOPFTUVEP EBOPÎÍPEFOÞNFSPSBDJPOBMOÍP OFHBUJWP t 1SPQPSTJUVBÎÜFTFNRVFPTBMVOPT FYFSDJUFNPTBMHPSJUNPTKÈUSBCBMIBEPT FNFTQFDJBMPEBEJWJTÍPDPNEFDJNBJT t 1SPQPSTJUVBÎÜFTRVFFWJEFODJFN PTJHOJGJDBEPEBTPQFSBÎÜFT QPS FYFNQMP F3 F3 t 4PMJDJUBSPDÈMDVMPEFFYQSFTTÜFT OVNÏSJDBTEPUJQP 2 PV13

/ÞNFSPTJOUFJSPT t /PÎÍPEFOÞNFSPJOUFJSP FSFQSFTFOUBÎÍPOBSFDUB OVNÏSJDB t $PNQBSBÎÍPFPSEFOBÎÍP t "EJÎÍPFTVCUSBDÎÍPDPN SFQSFTFOUBÎÍPOBSFDUB OVNÏSJDB

/ÞNFSPTSBDJPOBJT OÍPOFHBUJWPT t /PÎÍPFSFQSFTFOUBÎÍP EFOÞNFSPSBDJPOBM t $PNQBSBÎÍPFPSEFOBÎÍP

t 0QFSBÎÜFT

t 7BMPSFTBQSPYJNBEPT

46

t %FUFSNJOBSPWBMPSBQSPYJNBEP EFVNOÞNFSPFFTUJNBSBSFTQPTUB BQSPCMFNBTFOWPMWFOEPOÞNFSPT JOUFJSPTFSBDJPOBJTOÍPOFHBUJWPT


t 1SPQPSPVTPEFFTUSBUÏHJBT DPNP QPSFYFNQMP 35 31 3 8 53 8 23 8 5 5 t 4PMJDJUBSBQSPYJNBÎÜFT ËTEÏDJNBT QPSFYDFTTPFQPSEFGFJUP t 1SPQPSBFTUJNBÎÍPEFSFTVMUBEPT EFPQFSBÎÜFT BEJÎÍP TVCUSBDÎÍP VTBOEPOÞNFSPTSFQSFTFOUBEPT DPNVNBPVEVBTDBTBTEFDJNBJT

PARTE

5»1*$04

NOTAS

t /BFTUJNBÎÍPEFSFTVMUBEPTEB NVMUJQMJDBÎÍP EJWJTÍP

VUJMJ[BSOÞNFSPT OBUVSBJTOVNEPTGBDUPSFT OPEJWJTPS t $PNQSFFOEFSBOPÎÍPEFQFSDFOUBHFN t 4PMJDJUBSBSFQSFTFOUBÎÍPEF FSFMBDJPOBSEJGFSFOUFTGPSNBT QFSDFOUBHFOTQJDUPSJDBNFOUF EFSFQSFTFOUBSVNBQFSDFOUBHFN FVTBOEPPTÓNCPMP FSFMBDJPOBS t 5SBEV[JSVNBGSBDÎÍPQPSVNB QFSDFOUBHFOTDPNGSBDÎÜFT QFSDFOUBHFNFJOUFSQSFUÈMBDPNP FEFDJNBJT POÞNFSPEFQBSUFTFN t 1SPQPSPVTPEBDBMDVMBEPSBOB t $BMDVMBSFVTBSQFSDFOUBHFOT FYQMPSBÎÍPEBTSFMBÎÜFTFOUSFWÈSJBT t 3FTPMWFSQSPCMFNBTRVFFOWPMWBN SFQSFTFOUBÎÜFTEFVNOÞNFSP OÞNFSPTSBDJPOBJTOÍPOFHBUJWPT


t 1FSDFOUBHFN

0#+&$5*704&41&$¶'*$04

(FPNFUSJB "SUJDVMBÎÍPDPNPDJDMP /PDJDMPPTBMVOPTEFTDSFWFN DPOTUSPFNFSFQSFTFOUBNGJHVSBTOPQMBOPFOPFTQBÎP JEFOUJGJDBOEPQSPQSJF EBEFT/PDJDMP PTBMVOPTBNQMJBNFTUFFTUVEP EBOEPUBNCÏNBUFOÎÍPËTGJHVSBTVOJEJNFOTJPOBJT"TJTP NFUSJBT RVFDPNFÎBNBTFSBCPSEBEBTOPDJDMPFVUJMJ[BEBTOPFTUVEPEPTGSJTPT TÍPBQSPGVOEBEBTOPDJDMP FTQFDJBMNFOUFBSFGMFYÍPFBSPUBÎÍP"THSBOEF[BTFPTSFTQFDUJWPTQSPDFTTPTEFNFEJÎÍP RVFDPOTUJUVFNVN BTTVOUPEFHSBOEFSFMFWÉODJBOPDJDMP DPOUJOVBNBSFDFCFSBUFOÎÍPOPDJDMP UBNCÏNBTTPDJBEPTËSFTP MVÎÍPEFQSPCMFNBTEPRVPUJEJBOP"JOEBOFTUFDJDMP PQFSÓNFUSPÏUSBCBMIBEPDPNPVUSBTGJHVSBTHFPNÏUSJDBT DÓSDVMPFQPMÓHPOPTJSSFHVMBSFT

FBQSPGVOEBNTFPTDPODFJUPTEFÈSFBFWPMVNF JODMVJOEPPFTUVEPEBTGØSNV MBTEBTÈSFBTEPUSJÉOHVMPFEPDÓSDVMP FBTEPTWPMVNFTEPDVCP EPQBSBMFMFQÓQFEPFEPDJMJOESP/PDJDMP PT BMVOPTBERVJSFNJOUVJUJWBNFOUFBOPÎÍPEFÉOHVMPFJEFOUJGJDBNEJWFSTPTUJQPTEFÉOHVMPT$PNFTUBCBTF OP DJDMP JOUSPEV[TFPDPODFJUPEFBNQMJUVEF NFEFNTF DMBTTJGJDBNTFFDPOTUSPFNTFÉOHVMPT$PNFTUFT DPOIFDJNFOUPT BQSPGVOEBTFPFTUVEPEBTQSPQSJFEBEFTEPTQPMÓHPOPTFBTVBDMBTTJGJDBÎÍP 1SPQØTJUPQSJODJQBMEFFOTJOP %FTFOWPMWFSOPTBMVOPTPTFOUJEPFTQBDJBM DPNÐOGBTFOBWJTVBMJ[BÎÍPFOBDPNQSFFOTÍPEBTQSPQSJFEBEFTEF GJHVSBTHFPNÏUSJDBTOPQMBOPFOPFTQBÎP BDPNQSFFOTÍPEFHSBOEF[BTHFPNÏUSJDBTFSFTQFDUJWPTQSPDFTTPT EFNFEJEB CFNDPNPBVUJMJ[BÎÍPEFTUFTDPOIFDJNFOUPTFDBQBDJEBEFTOBSFTPMVÎÍPEFQSPCMFNBTFNDPOUFY UPTEJWFSTPT 0CKFDUJWPTHFSBJTEFBQSFOEJ[BHFN $PNBTVBBQSFOEJ[BHFN OPÉNCJUPEFTUFUFNB PTBMVOPTEFWFN t DPNQSFFOEFSQSPQSJFEBEFTEBTGJHVSBTHFPNÏUSJDBTOPQMBOPFOPFTQBÎP t EFTFOWPMWFSBWJTVBMJ[BÎÍPFPSBDJPDÓOJPHFPNÏUSJDPFTFSDBQB[FTEFPTVTBS t TFSDBQB[FTEFBOBMJTBSQBESÜFTHFPNÏUSJDPTFEFTFOWPMWFSPDPODFJUPEFTJNFUSJB t TFSDBQB[FTEFSFTPMWFSQSPCMFNBT DPNVOJDBSFSBDJPDJOBSNBUFNBUJDBNFOUFFNTJUVBÎÜFTRVFFOWPMWBN DPOUFYUPTHFPNÏUSJDPT *OEJDBÎÜFTNFUPEPMØHJDBT Abordagem/PFTUVEPEB(FPNFUSJBFEBTHSBOEF[BTHFPNÏUSJDBTEFWFUPNBSTFDPNPQPOUPEFQBSUJEBTJUVB ÎÜFTEPRVPUJEJBOPEPTBMVOPT SFDPSSFOEP QPSFYFNQMP BB[VMFKPTFPVUSPTBSUFGBDUPTEFDFSÉNJDB BUBQFÎBSJBT PVQJOUVSBFBPQSØQSJPDPSQPIVNBOP%BEPRVFB(FPNFUSJBFB.FEJEBFTUÍPEJSFDUBNFOUFSFMBDJPOBEBTDPN BTBDUJWJEBEFTNBUFNÈUJDBTNBJTBOUJHBTFNRVFPTFSIVNBOPTFFOWPMWFV PTFVFTUVEPQPTTJCJMJUBBFYQMPSBÎÍP EFBTQFDUPTIJTUØSJDPT B.BUFNÈUJDBDPNPBDUJWJEBEFEFSFTPMVÎÍPEFQSPCMFNBTQSÈUJDPTFNBMHVNBTDJWJMJ[B ÎÜFTFUBNCÏNDPNPBDUJWJEBEFQSFEPNJOBOUFNFOUFJOUFMFDUVBM QBSBPT(SFHPT /BTFRVÐODJBEPDJDMPBOUFSJPS B.FEJEBDPOUJOVBBTFSUSBCBMIBEBBPMPOHPEPDJDMP SFMBDJPOBOEPBDPNPTOÞNFSPTSBDJPOBJTFBQSPGVO EBOEPBMHVOTDPODFJUPT"TFYQFSJÐODJBTEFNFEJÎÍP QFSÓNFUSPT ÈSFBT WPMVNFTFDBQBDJEBEFT EFWFNTFS


47

PARTE


1

EJWFSTJGJDBEBTFGB[FSBQFMPBWÈSJBTVOJEBEFT/PDBTPEPÉOHVMP JOUSPEV[TFBBNQMJUVEFFBTVBNFEJEB/FTUBT FYQFSJÐODJBT BFTUJNBÎÍPEFNFEJEBTEFTFNQFOIBVNQBQFMJNQPSUBOUFDPOUSJCVJOEPQBSBPEFTFOWPMWJNFOUP EPTFOUJEPDSÓUJDPEPTBMVOPTRVBOUPËSB[PBCJMJEBEFEFVNEFUFSNJOBEPSFTVMUBEP 0SBDJPDÓOJPHFPNÏUSJDPFBWJTVBMJ[BÎÍPFTQBDJBMTÍPDBQBDJEBEFTBBQSPGVOEBSOFTUFDJDMPRVF DPOKVOUBNFOUF DPNPQFOTBNFOUPOVNÏSJDP QFSNJUFNEFTFOWPMWFSOPWBTFTUSBUÏHJBTOBSFTPMVÎÍPEFQSPCMFNBT Tarefas e recursos0FTUVEPEB(FPNFUSJBEFWFUFSDPNPCBTFUBSFGBTRVFQSPQPSDJPOFNPQPSUVOJEBEFTQBSB PCTFSWBS BOBMJTBS SFMBDJPOBSFDPOTUSVJSGJHVSBTHFPNÏUSJDBTFEFPQFSBSDPNFMBT"TUBSFGBTRVFFOWPMWFNBT JTPNFUSJBTEPQMBOPEFWFNNFSFDFSBUFOÎÍPFTQFDJBMOFTUFDJDMP TPCSFUVEPBTRVFEJ[FNSFTQFJUPBSFGMFYÜFT FSPUBÎÜFT QPJTQFSNJUFNBBQSFOEJ[BHFNEFDPODFJUPTHFPNÏUSJDPTEFGPSNBEJOÉNJDBFPBQSPGVOEBNFOUP EBTVBDPNQSFFOTÍP /PFTUVEPEFTUFUFNB ÏGVOEBNFOUBMPSFDVSTPBJOTUSVNFOUPTEFNFEJEBFEFEFTFOIPSÏHVB FTRVBESP USBOTGFSJEPS DPNQBTTPCFNDPNPBVUJMJ[BÎÍPEFNBUFSJBJTNBOJQVMÈWFJTHFPQMBOPT tangrans puzzles NPTBJDPT QFÎBTQPMJHPOBJTFODBJYÈWFJT DBSUPMJOBFFMÈTUJDPT BSNBÎÜFTFQBMIJOIBT NJSBFFTQFMIPT5PEPTFTUFT JOTUSVNFOUPTFNBUFSJBJTTÍPVNBQPJPJNQPSUBOUFQBSBBBQSFOEJ[BHFNFN(FPNFUSJB FNQBSUJDVMBSOBFYQMP SBÎÍP BOÈMJTFFSFTPMVÎÍPEFQSPCMFNBTEFOBUVSF[BHFPNÏUSJDBFOBSFBMJ[BÎÍPEFEFTFOIPTFDPOTUSVÎÜFTDPN VNSJHPSBEFRVBEP0TQSPHSBNBTDPNQVUBDJPOBJTEF(FPNFUSJB%JOÉNJDBFPTappletsGBWPSFDFNJHVBMNFOUF BDPNQSFFOTÍPEPTDPODFJUPTFSFMBÎÜFTHFPNÏUSJDBT QFMPRVFEFWFNTFSUBNCÏNVUJMJ[BEPT Conceitos específicos"TJNFUSJBÏVNDPODFJUPDIBWFFNEJWFSTBTÈSFBTEB.BUFNÈUJDBNBTÏFN(FPNFUSJBRVF BUJOHFNBJPSSFMFWÉODJB"USBWÏTEBTJNFUSJBQPEFNDBSBDUFSJ[BSTFPCKFDUPTHFPNÏUSJDPTFTJNQMJGJDBSTFBSHV NFOUPTF DPNPTFVSFDVSTP ÏQPTTÓWFMFMBCPSBSFTUSBUÏHJBTEFSFTPMVÎÍPEFQSPCMFNBTFNNVJUPTDBTPTEF NBJPSFGJDÈDJB "TJTPNFUSJBTQFSNJUFNEFTFOWPMWFSOPTBMVOPTPDPODFJUPEFDPOHSVÐODJB GJHVSBTDPOHSVFOUFTSFMBDJPOBNTF FOUSFTJBUSBWÏTEFSFGMFYÜFT SPUBÎÜFT USBOTMBÎÜFTPVSFGMFYÜFTEFTMJ[BOUFT &TUFUJQPEFUSBOTGPSNBÎÜFTQFSNJUF BFYQMPSBÎÍP DPOTUSVÎÍPFDMBTTJGJDBÎÍPEFGSJTPTFSPTÈDFBT"OPÎÍPEFBNQMJUVEFEFVNÉOHVMPFBTVBNFEJ ÎÍPFNHSBVTTÍPJOUSPEV[JEBTOFTUFDJDMP FUÐNVNQBQFMJNQPSUBOUFOPFTUVEPEBTSPUBÎÜFTFOPUSBCBMIPDPN BTGJHVSBTHFPNÏUSJDBT 5ØQJDPTFPCKFDUJWPTFTQFDÓGJDPT 5»1*$04

0#+&$5*704&41&$¶'*$04

NOTAS

t %FTDSFWFSTØMJEPTHFPNÏUSJDPT FJEFOUJGJDBSPTTFVTFMFNFOUPT t $PNQSFFOEFSBTQSPQSJFEBEFTEPT TØMJEPTHFPNÏUSJDPTFDMBTTJGJDÈMPT t 3FMBDJPOBSPOÞNFSPEFGBDFT EF BSFTUBTFEFWÏSUJDFTEFVNBQJSÉNJEF FEFVNQSJTNB DPNPQPMÓHPOP EBCBTF t *EFOUJGJDBSTØMJEPTBUSBWÏTEF SFQSFTFOUBÎÜFTOPQMBOPFWJDFWFSTB t *EFOUJGJDBS WBMJEBSFEFTFOIBS QMBOJGJDBÎÜFTEFTØMJEPTFDPOTUSVJS NPEFMPTBQBSUJSEFTUBTQMBOJGJDBÎÜFT

t 1BSBPFTUVEPEFTØMJEPT VTBSPCKFDUPT NBUFSJBJTEFVTPDPSSFOUFFNPEFMPT EFTØMJEPTHFPNÏUSJDPT t /BTDPOTUSVÎÜFTEFNPEFMPT EFTØMJEPTVTBSUBNCÏNDBSUPMJOB FFMÈTUJDPT BSNBÎÜFTFQBMIJOIBT FQFÎBTQPMJHPOBJTFODBJYÈWFJT t 6TBSTJUVBÎÜFTEFQPTTJCJMJEBEF FJNQPTTJCJMJEBEFFFYFNQMPT FDPOUSBFYFNQMPTOBGPSNVMBÎÍP EFMFJTHFSBJT 6NBQJSÉNJEFQPEF UFSBSFTUBT

t &ODPOUSBSFYQFSJNFOUBMNFOUF BSFMBÎÍPEF&VMFS

4ØMJEPTHFPNÏUSJDPT t 1SJTNB QJSÉNJEF DJMJOESP DPOF FFTGFSB t 1MBOJGJDBÎÍPFDPOTUSVÎÍP EFNPEFMPT

'JHVSBTOPQMBOP t 3FDUBT TFNJSFDUBT FTFHNFOUPTEFSFDUB

t ¬OHVMPTBNQMJUVEFFNFEJÎÍP

48

t *EFOUJGJDBSFSFQSFTFOUBSSFDUBTQBSBMFMBT QFSQFOEJDVMBSFTFDPODPSSFOUFT TFNJ SFDUBTFTFHNFOUPTEFSFDUB FJEFOUJGJDBSBTVBQPTJÎÍPSFMBUJWB OPQMBOP t .FEJS FNHSBVT BBNQMJUVEFEFVN ÉOHVMPFDPOTUSVJSVNÉOHVMPTFOEP EBEBBTVBBNQMJUVEF


t 1SPQPSTJUVBÎÜFTQBSBFTUJNBSBPSEFN EFHSBOEF[BEFÉOHVMPT t /BNFEJÎÍPEFBNQMJUVEFT BQSPYJNBS BPHSBV

PARTE

5»1*$04

t &TUBCFMFDFSSFMBÎÜFTFOUSFÉOHVMPT FDMBTTJGJDBSÉOHVMPT t %JTUJOHVJSÉOHVMPTDPNQMFNFOUBSFT FTVQMFNFOUBSFTFJEFOUJGJDBSÉOHVMPT WFSUJDBMNFOUFPQPTUPTFÉOHVMPT BMUFSOPTJOUFSOPT t *EFOUJGJDBSPTFMFNFOUPTEFVN QPMÓHPOP DPNQSFFOEFSBTTVBT QSPQSJFEBEFTFDMBTTJGJDBSQPMÓHPOPT t $MBTTJGJDBSUSJÉOHVMPTRVBOUP BPTÉOHVMPTFRVBOUPBPTMBEPT t $POTUSVJSUSJÉOHVMPTFDPNQSFFOEFS PTDBTPTEFQPTTJCJMJEBEFOBDPOTUSVÎÍP EFUSJÉOHVMPT t $PNQSFFOEFSSFMBÎÜFTFOUSFFMFNFOUPT EFVNUSJÉOHVMPFVTÈMBTOBSFTPMVÎÍP EFQSPCMFNBT t $PNQSFFOEFSPWBMPSEBTPNB EBTBNQMJUVEFTEPTÉOHVMPTJOUFSOPT FFYUFSOPTEFVNUSJÉOHVMP t *EFOUJGJDBSBTQSPQSJFEBEFT EBDJSDVOGFSÐODJBFEJTUJOHVJS DJSDVOGFSÐODJBEFDÓSDVMP t 3FTPMWFSQSPCMFNBTFOWPMWFOEP QSPQSJFEBEFTEPTUSJÉOHVMPT FEPDÓSDVMP

3FGMFYÍP SPUBÎÍPFUSBOTMBÎÍP t /PÎÍPFQSPQSJFEBEFT EBSFGMFYÍP EBSPUBÎÍP FEBUSBOTMBÎÍP t 4JNFUSJBTBYJBMFSPUBDJPOBM

t *EFOUJGJDBS QSFEJ[FSFEFTDSFWFS BJTPNFUSJBFNDBVTB EBEBBGJHVSB HFPNÏUSJDBFPUSBOTGPSNBEP t $POTUSVJSPUSBOTGPSNBEPEFVNB GJHVSB BQBSUJSEFVNBJTPNFUSJBPV EFVNBDPNQPTJÎÍPEFJTPNFUSJBT t $PNQSFFOEFSBTOPÎÜFTEFTJNFUSJB BYJBMFSPUBDJPOBMFJEFOUJGJDBS BTTJNFUSJBTOVNBGJHVSB t $PNQMFUBS EFTFOIBSFFYQMPSBS QBESÜFTHFPNÏUSJDPTRVFFOWPMWBN TJNFUSJBT t *EFOUJGJDBSBTTJNFUSJBTEFGSJTPT FSPTÈDFBT t $POTUSVJSGSJTPTFSPTÈDFBT

NOTAS


t 1PMÓHPOPTQSPQSJFEBEFT FDMBTTJGJDBÎÍP t $ÓSDVMPFDJSDVOGFSÐODJB QSPQSJFEBEFTFDPOTUSVÎÍP

0#+&$5*704&41&$¶'*$04

t 4PMJDJUBSBDPOTUSVÎÍPEFUSJÉOHVMPT TFOEPEBEPTPDPNQSJNFOUPEPT MBEPTPDPNQSJNFOUPEFEPJTMBEPT FBBNQMJUVEFEPÉOHVMPQPSFMFT GPSNBEPPDPNQSJNFOUPEFVNMBEP FBBNQMJUVEFEPTÉOHVMPTBEKBDFOUFT BFTTFMBEP t /BNFEJÎÍPEFDPNQSJNFOUPT BQSPYJNBSBPNJMÓNFUSP t 1SPQPSDPNPFYFNQMPTEFSFMBÎÜFT FOUSFFMFNFOUPTEFVNUSJÉOHVMP OVNUSJÉOHVMP VNÉOHVMPFYUFSOP ÏNBJPSRVFRVBMRVFSEPTJOUFSOPT OÍPBEKBDFOUFTBPNBJPSMBEP ÉOHVMP PQÜFTFPNBJPSÉOHVMP MBEP RVBMRVFSMBEPÏNFOPSRVFBTPNB EPTPVUSPTEPJT t 1BSBBTPNBEBTBNQMJUVEFTEPT ÉOHVMPTJOUFSOPTFFYUFSOPTEFVN USJÉOHVMP SFDPSSFSBQSPWBTJOGPSNBJT PVBQSPHSBNBTEF(FPNFUSJB %JOÉNJDB t /PFTUVEPEBTJTPNFUSJBTSFDPSSFS ËFYQMPSBÎÍPEFPCSBTEFBSUF FBSUFTBOBUP t 6TBSJNBHFOTPCUJEBTQPSDPNQPTJÎÍP EFJTPNFUSJBT t 'B[FSOPUBSRVFBSFDUBRVFDPOUÏN BCJTTFDUSJ[EFVNÉOHVMPÏVNFJYP EFTJNFUSJBEFTTFÉOHVMP t /BJEFOUJGJDBÎÍPEPTFJYPTEFTJNFUSJB EFVNBGJHVSB EBSQBSUJDVMBSSFMFWPBP DBTPEPTUSJÉOHVMPT t $POTJEFSBSPOÞNFSPEFFJYPTEF TJNFUSJBOBDMBTTJGJDBÎÍPEFUSJÉOHVMPT t 1SPQPSBDPOTUSVÎÍPEFGJHVSBTDPN NBJTEFVNFJYPEFTJNFUSJB t /BSPUBÎÍP TPMJDJUBSJOEJDBÎÍPEP DFOUSP EPTFOUJEPFEBBNQMJUVEF EPÉOHVMPEFSPUBÎÍP t /BDPOTUSVÎÍPEFSPTÈDFBT DPOTJEFSBS BEJWJTÍPEPDÓSDVMPOVNOÞNFSPQBS FÓNQBSEFTFDUPSFT EFTFOIBSVNB GJHVSB NPUJWP OVNEPTTFDUPSFT F QPSEFDBMRVFPVQPSEPCSBHFN QSFFODIFSPTTFDUPSFTTFHVJOUFT TFHVOEPVNBSFHSB SPEBSPVSFGMFDUJS t 6TBSFTQFMIPTFEPCSBHFOTEFQBQFM SFQSFTFOUBÎÜFTHSÈGJDBTFapplets


PARTE


1

5»1*$04

0#+&$5*704&41&$¶'*$04

t 1PMÓHPOPTSFHVMBSFTFJSSFHVMBSFT t $ÓSDVMP

t %FUFSNJOBSPQFSÓNFUSPEFQPMÓHPOPT SFHVMBSFTFJSSFHVMBSFT t %FUFSNJOBSVNWBMPSBQSPYJNBEP EFp t 3FTPMWFSQSPCMFNBTFOWPMWFOEP QFSÓNFUSPTEFQPMÓHPOPTFEPDÓSDVMP

NOTAS

1FSÓNFUSPT

«SFBT t &RVJWBMÐODJBEFGJHVSBTQMBOBT t 6OJEBEFTEFÈSFB t «SFBEPUSJÉOHVMPFEPDÓSDVMP

7PMVNFT t 7PMVNFEPDVCP EPQBSBMFMFQÓQFEPFEPDJMJOESP t 6OJEBEFTEFWPMVNF

t 1SPQPSBEFUFSNJOBÎÍPFYQFSJNFOUBM EFVNWBMPSBQSPYJNBEPEFp t 6TBSTJUVBÎÜFTFYQFSJNFOUBJTQBSB FODPOUSBSBGØSNVMBEPQFSÓNFUSP EPDÓSDVMP

t $PNQSFFOEFSBOPÎÍPEFFRVJWBMÐODJB EFGJHVSBTQMBOBTFEJTUJOHVJSGJHVSBT FRVJWBMFOUFTEFGJHVSBTDPOHSVFOUFT t 3FMBDJPOBSBGØSNVMBEBÈSFBEP USJÉOHVMPDPNBEPSFDUÉOHVMP t $BMDVMBSBÈSFBEFGJHVSBTQMBOBT TJNQMFT EFDPNQPOÓWFJTFN SFDUÉOHVMPTFFNUSJÉOHVMPT PVQPSNFJPEFFTUJNBUJWBT t %FUFSNJOBSWBMPSFTBQSPYJNBEPT EBÈSFBEFVNDÓSDVMPEFTFOIBEP FNQBQFMRVBESJDVMBEP t 3FTPMWFSQSPCMFNBTRVFFOWPMWBN ÈSFBTEPUSJÉOHVMPFEPDÓSDVMP CFN DPNPBEFDPNQPTJÎÍPFDPNQPTJÎÍP EFPVUSBTGJHVSBTQMBOBT

t 6TBSBTPCSFQPTJÎÍP DPNQPTJÎÍP FEFDPNQPTJÎÍPEFGJHVSBT t 1SPQPSTJUVBÎÜFTRVFFWJEFODJFN BEJTUJOÎÍPFOUSFÈSFBFQFSÓNFUSP 1PSFYFNQMP BTFQBSBÎÍP FBSFPSHBOJ[BÎÍPEBTQBSUFTEFVNB GJHVSBRVFBMUFSFNPTFVQFSÓNFUSP NBTOÍPBTVBÈSFB FSFDJQSPDBNFOUF t 6TBSGJHVSBTFSFTQFDUJWP FORVBESBNFOUPFNQBQFM RVBESJDVMBEP t 6TBSTJUVBÎÜFTFYQFSJNFOUBJT QBSBEFUFSNJOBSBGØSNVMBEBÈSFB EPDÓSDVMP

t 3FMBDJPOBSBTVOJEBEFTEFWPMVNF DPNBTVOJEBEFTEFDBQBDJEBEF EPTJTUFNB4* t 3FTPMWFSQSPCMFNBTRVFFOWPMWBN WPMVNFTEFDVCPT QBSBMFMFQÓQFEPT FDJMJOESPT

t 3FMBDJPOBSBGØSNVMBEPWPMVNF EPQBSBMFMFQÓQFEPDPNBEPDVCP

«MHFCSB "SUJDVMBÎÍPDPNPDJDMP 0TBMVOPTOPDJDMPEFTFOWPMWFNPQFOTBNFOUPBMHÏCSJDPRVBOEP QPSFYFNQMP JOWFTUJHBNTFRVÐODJBTOVNÏ SJDBTFQBESÜFTHFPNÏUSJDPT/PDJDMP BNQMJBNFBQSPGVOEBNFTTFUSBCBMIP FYQMPSBOEPQBESÜFT EFUFSNJOBOEP UFSNPTEFVNBTFRVÐODJBBQBSUJSEBTVBMFJEFGPSNBÎÍPFVNBMFJEFGPSNBÎÍPQFMPFTUVEPEBSFMBÎÍPFOUSFPT UFSNPT0TBMVOPTEFTFOWPMWFNJHVBMNFOUFBDBQBDJEBEFEFJEFOUJGJDBSSFMBÎÜFTFEFVTBSBMJOHVBHFNTJNCØMJDB QBSBBTEFTDSFWFS FDPNFÎBNBFYQSFTTBSSFMBÎÜFTNBUFNÈUJDBTBUSBWÏTEFJHVBMEBEFTFEFTJHVBMEBEFT/PDJDMP USBCBMIBTFDPNBTFTUSVUVSBTNVMUJQMJDBUJWBTFDPNPTOÞNFSPTSBDJPOBJT PRVFDPOTUJUVJVNBCBTFQBSBPEFTFO WPMWJNFOUPEBOPÎÍPEFQSPQPSDJPOBMJEBEF/PDJDMP FTUFBTTVOUPÏBQSPGVOEBEPFTJTUFNBUJ[BEPBUSBWÏTEB FYQMPSBÎÍPEFNÞMUJQMBTTJUVBÎÜFTRVFFOWPMWFNPTDPODFJUPTEFQSPQPSDJPOBMJEBEFEJSFDUB SB[ÍPFQSPQPSÎÍP 1SPQØTJUPQSJODJQBMEFFOTJOP %FTFOWPMWFSOPTBMVOPTPQFOTBNFOUPBMHÏCSJDP CFNDPNPBTVBDBQBDJEBEFEFSFQSFTFOUBSTJNCPMJDBNFOUF TJUVBÎÜFTNBUFNÈUJDBTFOÍPNBUFNÈUJDBTFEFSFTPMWFSQSPCMFNBTFNDPOUFYUPTEJWFSTPT 0CKFDUJWPTHFSBJTEFBQSFOEJ[BHFN $PNBTVBBQSFOEJ[BHFN OPÉNCJUPEFTUFUFNB PTBMVOPTEFWFN t TFSDBQB[FTEFFYQMPSBSFJOWFTUJHBSSFHVMBSJEBEFT t DPNQSFFOEFSBOPÎÍPEFQSPQPSDJPOBMJEBEFEJSFDUBFVTBSPSBDJPDÓOJPQSPQPSDJPOBM t TFSDBQB[FTEFSFTPMWFSQSPCMFNBT SBDJPDJOBSFDPNVOJDBSSFDPSSFOEPBSFQSFTFOUBÎÜFTTJNCØMJDBT


PARTE

*OEJDBÎÜFTNFUPEPMØHJDBT


Abordagem"JOWFTUJHBÎÍPEFSFHVMBSJEBEFT UBOUPFNTFRVÐODJBTOVNÏSJDBTGJOJUBTPVJOGJOJUBT TVDFTTÜFT DPNP FNSFQSFTFOUBÎÜFTHFPNÏUSJDBT EFWFTFSUPNBEBDPNPCBTFQBSBPEFTFOWPMWJNFOUPEPQFOTBNFOUPBMHÏCSJDP /PFTUVEPEBSFMBÎÍPEFQSPQPSDJPOBMJEBEFEJSFDUBÏEFQSJWJMFHJBSTJUVBÎÜFTGBNJMJBSFTEPTBMVOPTFDPOUFYUPT NBUFNÈUJDPTTJNQMFT/PRVFTFSFGFSFBPTOÞNFSPT BHFOFSBMJ[BÎÍPEBTQSPQSJFEBEFTEBTPQFSBÎÜFTBSJUNÏUJDBT DPOTUJUVJVNBGPSNBEFEFTFOWPMWFSPQFOTBNFOUPBMHÏCSJDP SFQSFTFOUBOEPVNBEJGFSFOÎBTVCTUBODJBMSFMBUJWB NFOUFBPDJDMPBOUFSJPS 0TBMVOPTEFWFNTFSJODFOUJWBEPTBVUJMJ[BSUFSNJOPMPHJBFTJNCPMPHJBNBUFNÈUJDBTFNTJUVBÎÜFTWBSJBEBT BSFMBDJPOBSEJGFSFOUFTGPSNBTEFSFQSFTFOUBÎÍPFBMJOHVBHFNNBUFNÈUJDBDPNBMJOHVBHFNOBUVSBM"FMBCPSBÎÍP EFSFMBUØSJPTFEFQFRVFOPTUFYUPTTPCSFBTUBSFGBTSFBMJ[BEBTFTPCSFBTTVOUPTNBUFNÈUJDPTTÍPCPBTPDBTJÜFT QBSBFTTBVUJMJ[BÎÍP Recursos"GPMIBEFDÈMDVMPÏVNSFDVSTPUFDOPMØHJDPJNQPSUBOUFOPEFTFOWPMWJNFOUPEPQFOTBNFOUPBMHÏCSJDP VNBWF[RVFQFSNJUFSFBMJ[BSDPNSBQJEF[FYQFSJÐODJBTDPNOÞNFSPTFQÙSFNFWJEÐODJBSFMBÎÜFTOVNÏSJDBT %FJHVBMNPEP BDBMDVMBEPSBQPTTJCJMJUBBSFBMJ[BÎÍPEFTUFUJQPEFUSBCBMIPDPNPTOÞNFSPT QFSNJUJOEPFGFDUVBS MPOHBTDBEFJBTEFDÈMDVMPT EFJYBOEPPTBMVOPTDPNNBJTEJTQPOJCJMJEBEFQBSBBQSPDVSBEFSFMBÎÜFTFBTVB SFQSFTFOUBÎÍPTJNCØMJDB Conceitos específicos0FTUVEPEFTFRVÐODJBTFOWPMWFPUSBCBMIPDPNOÞNFSPTFPQFSBÎÜFTFQSPQPSDJPOB PFTUBCFMFDJNFOUPEFSFMBÎÜFTFBFYQMJDJUBÎÍPEFMFJTEFGPSNBÎÍP0TBMVOPTEFWFNHBOIBSEFTFNCBSBÎPOB NBOJQVMBÎÍPEFFYQSFTTÜFTOVNÏSJDBT DPNQSFFOEFOEPPQBQFMFBOFDFTTJEBEFEPTQBSÐOUFTFT BQSJPSJEBEF EBTPQFSBÎÜFTFPTFGFJUPTEBTPQFSBÎÜFTTPCSFPTOÞNFSPT 4ÍPUSBCBMIBEBTSFMBÎÜFTBTTPDJBEBTBTFRVÐODJBTOVNÏSJDBTFBQSPQPSDJPOBMJEBEFEJSFDUB RVFÏVNBSFMBÎÍP JNQPSUBOUFOPEFTFOWPMWJNFOUPEPQFOTBNFOUPBMHÏCSJDPQSFTFOUFFNNVJUBTTJUVBÎÜFTEPRVPUJEJBOPEPT BMVOPT FOWPMWFOEP QPSFYFNQMP QSPCMFNBTEFOBUVSF[BNVMUJQMJDBUJWBOBTDPNQSBTPVFNSFDFJUBTDVMJOÈSJBT QFSDFOUBHFOTFFTDBMBT 0TBMVOPTEFWFNVTBSBQSPQPSDJPOBMJEBEFQBSBGB[FSQSFWJTÜFTFEJTUJOHVJSBSFMBÎÍPEF QSPQPSDJPOBMJEBEFEJSFDUBEFPVUSPTUJQPTEFSFMBÎÜFT 5ØQJDPTFPCKFDUJWPTFTQFDÓGJDPT 5»1*$04

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NOTAS

3FMBÎÜFTFSFHVMBSJEBEFT t &YQSFTTÜFTOVNÏSJDBT FQSPQSJFEBEFTEBTPQFSBÎÜFT

t 4FRVÐODJBTFSFHVMBSJEBEFT

t $PNQSFFOEFSPTJHOJGJDBEP EPTQBSÐOUFTFTFBQSJPSJEBEFEBT PQFSBÎÜFTOVNBFYQSFTTÍPOVNÏSJDB t 6TBSFYQSFTTÜFTOVNÏSJDBTQBSB SFQSFTFOUBSTJUVBÎÜFTFEBSFYFNQMPT EFTJUVBÎÜFTRVFQPTTBNTFS SFQSFTFOUBEBTQPSVNBFYQSFTTÍP OVNÏSJDB t &YQSFTTBSSFMBÎÜFTNBUFNÈUJDBT BUSBWÏTEFJHVBMEBEFTFEFTJHVBMEBEFT

t 1SPQPSFYFNQMPTRVFFWJEFODJFNBT QSPQSJFEBEFTDPNVUBUJWB BTTPDJBUJWB FEJTUSJCVUJWBEBTPQFSBÎÜFTFTUVEBEBT t 1BSBFWJEFODJBSPQBQFMEPTQBSÐOUFTFT FBTQSJPSJEBEFTEBTPQFSBÎÜFT VUJMJ[BS DBTPTEPUJQP1 3 F 1 3 21 F 2 1 t 1SPQPSTJUVBÎÜFTRVFQPTTJCJMJUFN BjWJTVBMJ[BÎÍPxEFFYQSFTTÜFT BMHÏCSJDBT QPSFYFNQMP PDÈMDVMP t *EFOUJGJDBSFEBSFYFNQMPTEFTFRVÐODJBT EBÈSFBEPSFDUÉOHVMPEFEJNFOTÜFTa FSFHVMBSJEBEFTOVNÏSJDBTFOÍP Fa VTBOEPBGØSNVMBEBÈSFB OVNÏSJDBT FBTPNBEBTNFEJEBTEBTÈSFBTEP t %FUFSNJOBSPUFSNPTFHVJOUF PVP RVBESBEPEFMBEPBFEPSFDUÉOHVMP BOUFSJPS BVNEBEPUFSNPFBNQMJBS EFEJNFOTÜFTaF VNBTFRVÐODJBOVNÏSJDB DPOIFDJEB t 6TBSBDBMDVMBEPSBOBFYQMPSBÎÍP BTVBMFJEFGPSNBÎÍP EFSFHVMBSJEBEFTOVNÏSJDBT t %FUFSNJOBSUFSNPTEFPSEFOTWBSJBEBT EFVNBTFRVÐODJB TFOEPDPOIFDJEB BTVBMFJEFGPSNBÎÍP


PARTE


1

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t 1SPQPSDJPOBMJEBEFEJSFDUB

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NOTAS

t "OBMJTBSBTSFMBÎÜFTFOUSFPTUFSNPT EFVNBTFRVÐODJBFJOEJDBSVNBMFJ EFGPSNBÎÍP VUJMJ[BOEPBMJOHVBHFN OBUVSBMFTJNCØMJDB t 3FQSFTFOUBSTJNCPMJDBNFOUFSFMBÎÜFT EFTDSJUBTFNMJOHVBHFNOBUVSBM FSFDJQSPDBNFOUF t *OUFSQSFUBSEJGFSFOUFTSFQSFTFOUBÎÜFT EFVNBSFMBÎÍPFSFMBDJPOÈMBT t $PNQSFFOEFSPTDPODFJUPTEFSB[ÍP QSPQPSÎÍPFDPOTUBOUF EFQSPQPSDJPOBMJEBEF t 6UJMJ[BSQSPQPSÎÜFTQBSBNPEFMBS TJUVBÎÜFTFGB[FSQSFWJTÜFT t 3FTPMWFSFGPSNVMBSQSPCMFNBT FOWPMWFOEPTJUVBÎÜFTEF QSPQPSDJPOBMJEBEFEJSFDUB

t %JTUJOHVJSTJUVBÎÜFTFNRVFOÍPFYJTUF QSPQPSDJPOBMJEBEFEFTJUVBÎÜFTFN RVFFYJTUF TPMJDJUBOEP OFTUFDBTP BDPOTUBOUFEFQSPQPSDJPOBMJEBEF t 6 TBSTJUVBÎÜFTRVFFOWPMWBN QFSDFOUBHFOTFFTDBMBT FBBOÈMJTF EFUBCFMBTFHSÈGJDPT t 1SPQPSTJUVBÎÜFTRVFQFSNJUBN WFSJGJDBSBQSPQSJFEBEFGVOEBNFOUBM EBTQSPQPSÎÜFT

0SHBOJ[BÎÍPFUSBUBNFOUPEFEBEPT "SUJDVMBÎÍPDPNPDJDMP /PDJDMP OFTUFUFNB PTBMVOPTBERVJSFNBMHVNBFYQFSJÐODJBEFSFDPMIBFPSHBOJ[BÎÍPEFEBEPTRVBMJUBUJWPT FRVBOUJUBUJWPTEJTDSFUPT SFQSFTFOUBOEPPTFNUBCFMBTEFGSFRVÐODJBTBCTPMVUBTFFNHSÈGJDPTEFWÈSJPTUJQPT DPNPPTQJDUPHSBNBTFHSÈGJDPTEFCBSSBT/PDJDMP PTBMVOPTBQSPGVOEBNFBMBSHBNFTUFUSBCBMIP SFBMJ[BOEP FTUVEPTRVFFOWPMWFNEBEPTEFOBUVSF[BWBSJBEB JODMVJOEPEBEPTRVBOUJUBUJWPTDPOUÓOVPT SFQSFTFOUBOEPPT FNUBCFMBTEFGSFRVÐODJBTBCTPMVUBTFSFMBUJWBTFFNHSÈGJDPTEFCBSSBT HSÈGJDPTDJSDVMBSFTPVEJBHSBNBTEFDBVMF FGPMIBT DPOTPBOUFBTVBBEFRVBÎÍPFVUJMJEBEFOBBOÈMJTFFJOUFSQSFUBÎÍPEBTJUVBÎÍP0TBMVOPTRVFOPDJDMP BQSFOEFSBNBJEFOUJGJDBSFBVTBSBNPEBEFVNDPOKVOUPEFEBEPTBNQMJBNPTFVSFQPSUØSJPEFNFEJEBT FTUBUÓTUJDBT QBTTBOEPBEJTQPSUBNCÏNEBNÏEJBBSJUNÏUJDB FYUSFNPTFBNQMJUVEFQBSBEFTDSFWFSVNDPOKVOUP EFEBEPT%BOEPTFHVJNFOUPBPUSBCBMIPDPNBJODFSUF[BJOJDJBEPOPDJDMP PTBMVOPTDPOUJOVBNPFTUVEPEF TJUVBÎÜFTBMFBUØSJBTTJNQMFTFSFBMJ[BNFYQFSJÐODJBTRVFQPTTJCJMJUBNBFYFNQMJGJDBÎÍPEBSFHVMBSJEBEFBMPOHP UFSNP DPOTPMJEBOEP TJNVMUBOFBNFOUF PWPDBCVMÈSJPCÈTJDPSFMBUJWPBTJUVBÎÜFTBMFBUØSJBT 1SPQØTJUPQSJODJQBMEPFOTJOP %FTFOWPMWFSOPTBMVOPTBDBQBDJEBEFEFDPNQSFFOEFSFEFQSPEV[JSJOGPSNBÎÍPFTUBUÓTUJDB CFNDPNPEF BVUJMJ[BSQBSBSFTPMWFSQSPCMFNBTFUPNBSEFDJTÜFTJOGPSNBEBTFBSHVNFOUBEBT 0CKFDUJWPTHFSBJTEFBQSFOEJ[BHFN $PNBTVBBQSFOEJ[BHFN OPÉNCJUPEFTUFUFNB PTBMVOPTEFWFNTFSDBQB[FTEF t FYQMPSBS BOBMJTBS JOUFSQSFUBSFVUJMJ[BSJOGPSNBÎÍPEFOBUVSF[BFTUBUÓTUJDB t TFMFDDJPOBSFVTBSNÏUPEPTFTUBUÓTUJDPTBQSPQSJBEPTQBSBSFDPMIFS PSHBOJ[BSFSFQSFTFOUBSEBEPT t QMBOFBSFSFBMJ[BSFTUVEPTRVFFOWPMWBNQSPDFEJNFOUPTFTUBUÓTUJDPT JOUFSQSFUBSPTSFTVMUBEPTPCUJEPTFGPSNV MBSDPOKFDUVSBTBQBSUJSEFMFT VUJMJ[BOEPMJOHVBHFNFTUBUÓTUJDB *OEJDBÎÜFTNFUPEPMØHJDBT Abordagem3FDPMIFS PSHBOJ[BS EFTDSFWFS BQSFTFOUBSFJOUFSQSFUBSEBEPTDPOTUJUVFNBDUJWJEBEFTRVFEFWFNTFS DPMPDBEBTBPTFSWJÎPEBSFTPMVÎÍPEFQSPCMFNBTJEFOUJGJDBEPTQFMPTBMVOPTOBTVBWJEBRVPUJEJBOB1PSFYFNQMP DPNQSFFOEFSRVF TFTFRVJTFSNBOEBSGB[FSVNDBNQPEFKPHPTOBFTDPMB ÏOFDFTTÈSJPDPOIFDFSPTKPHPT GBWPSJUPTEBDPNVOJEBEFFTDPMBSPV TFTFRVJTFSBWBMJBSPHSBVEFTBUJTGBÎÍPEPTBMVOPTSFMBUJWBNFOUFËTSFGFJÎÜFT


PARTE


TFSWJEBTOBDBOUJOB ÏOFDFTTÈSJPSFDPMIFSFBOBMJTBSEBEPTKVOUPEPTBMVOPTRVFBVTBN²JNQPSUBOUFJODFOUJWBS PTBMVOPTBGPSNVMBSRVFTUÜFTSFMBDJPOBEBTDPNPVUSBTEJTDJQMJOBTSFDPSSFOEP QPSFYFNQMP ËMFJUVSBFJOUFSQSF UBÎÍPEFHSÈGJDPTFUBCFMBTSFMBUJWPTËFWPMVÎÍPEBQPQVMBÎÍPQPSUVHVFTBFËFNJHSBÎÍP BPFTUVEPEBTDBMPSJBT EFEJGFSFOUFTUJQPTEFGSVUPT PVPVUSPUJQPEFBMJNFOUP

BPFTUVEPDPNQBSBUJWPEPOÞNFSPEFMFUSBTEBTQBMBWSBT EFVNBGPMIBEFVNMJWSPEFIJTUØSJBJOGBOUJMPVEFVNSPNBODF/PFTUVEPEFTUFUFNB PEFTFOWPMWJNFOUPEF QFRVFOPTQSPKFDUPTCFOFGJDJBDPNPUSBCBMIPFNHSVQP VNBWF[RVFÏQPTTÓWFMSFBMJ[BSNBJPSEJWFSTJEBEFEF UBSFGBTFPCUFSHBOIPTEFUFNQP/BTVBDPODSFUJ[BÎÍP ÏJNQPSUBOUFTFOTJCJMJ[BSPTBMVOPTQBSBBJNQPSUÉODJB EBEFGJOJÎÍPEFPCKFDUJWPTDPNVOT QBSBBEJWJTÍPEFUBSFGBTFQBSBBUPNBEBEFJOJDJBUJWBTFPBTTVNJSEFSFT QPOTBCJMJEBEFT UFOEPFNWJTUBPEFTFOWPMWJNFOUPUBOUPEBTVBBVUPOPNJBDPNPEPTFOUJEPEFDPMBCPSBÎÍP Tarefas e recursos0FTUVEPEFTUFUFNBEFWFBTTVNJSVNBOBUVSF[BJOWFTUJHBUJWB FTUJNVMBOEPPTBMVOPTBGPSNV MBSRVFTUÜFTDPNPQPOUPEFQBSUJEBQBSBPUSBCBMIPBEFTFOWPMWFS"QSPDVSBEFSFTQPTUBTQBSBPTQSPCMFNBT GPSNVMBEPTEFWFDPOEV[JMPTËOFDFTTJEBEFEBSFDPMIBFBOÈMJTFEFEBEPT0TBMVOPTEFWFNEFDJEJSRVFJOGPS NBÎÍPSFDPMIFS DPNPBSFDPMIFS PSHBOJ[BSFSFQSFTFOUBS"BOÈMJTFFJOUFSQSFUBÎÍPEFEBEPTDPOTUJUVJVNNPNFOUP EPUSBCBMIP OFTUFUFNB RVFPQSPGFTTPSEFWFEFTUBDBS MFWBOEPPTBMVOPTBFTUBCFMFDFSSFMBÎÜFTFDPOKFDUVSBT RVFQPEFNTFSPQPOUPEFQBSUJEBQBSBOPWBTJOWFTUJHBÎÜFT"MÏNEJTTP EFWFNUBNCÏNTFSJODFOUJWBEPTBVTBS BBOÈMJTFEFEBEPTQBSBUFOUBSKVTUJGJDBSFTTBTDPOKFDUVSBTFGB[FSQSFEJÎÜFT /PTFHVJNFOUPEPRVFGPJGFJUPOPDJDMP PTBMVOPTEFWFNSFBMJ[BSFYQFSJÐODJBTBMFBUØSJBTFNRVFTFFYQMPSB BSFHVMBSJEBEFBMPOHPUFSNP JTUPÏ BPGJNEFNVJUBTSFBMJ[BÎÜFTEBFYQFSJÐODJB OBTNFTNBTDJSDVOTUÉODJBT %FWFNJEFOUJGJDBSFMJTUBSUPEPTPTSFTVMUBEPTQPTTÓWFJT BTTPDJBEPTBFYQFSJÐODJBTBMFBUØSJBTTJNQMFT UBJTDPNP MBOÎBSEPJTEBEPTFSFHJTUBSPSFTVMUBEPEBTPNBEBTQJOUBTEBTGBDFTRVFGJDBNWPMUBEBTQBSBDJNB PVFYUSBJS EVBTCPMBTEFVNBDBJYB POEFTFDPMPDBSBNDJODPCPMBTOVNFSBEBTEFVNBDJODP TFNSFQPTJÎÍPPVDPN SFQPTJÎÍP FSFHJTUBSUPEBTBTQPTTJCJMJEBEFT%FWFNBJOEBFYQMPSBSTJUVBÎÜFTFNRVFPFTUVEPEBJOGPSNBÎÍP SFDPMIJEBTPCSFBMHVOTBMVOPTEBFTDPMBQFSNJUB PVOÍP HFOFSBMJ[BSPTSFTVMUBEPTPCUJEPT QBSBUPEPTPTBMVOPT EBFTDPMB "UFDOPMPHJBBTTVNFVNBHSBOEFJNQPSUÉODJBOPUSBUBNFOUPEFEBEPT"DBMDVMBEPSBFPDPNQVUBEPSTÍPJOT USVNFOUPTGVOEBNFOUBJTOPUSBCBMIPBSFBMJ[BSOFTUFUFNB VNBWF[RVFQFSNJUFNRVFPTBMVOPTTFDPODFOUSFN OBFTDPMIBFKVTUJGJDBÎÍPEPTNÏUPEPTBVTBS OBBOÈMJTFEFEBEPTFOBJOUFSQSFUBÎÍPEFSFTVMUBEPT MJCFSUBOEPPT EFDÈMDVMPTEFNPSBEPT0DPNQVUBEPS DPNBGPMIBEFDÈMDVMP PGFSFDFBPTBMVOPTBNQMBTQPTTJCJMJEBEFTEF PSHBOJ[BSFSFQSFTFOUBSEBEPTFNUBCFMBTFHSÈGJDPT1PSPVUSPMBEP BUSBWÏTEB*OUFSOFU PTBMVOPTQPEFNBDFEFS SBQJEBNFOUFBCBTFTEFEBEPTFBJOGPSNBÎÍPFTUBUÓTUJDB Conceitos específicos/PFTUVEPEFTUFUFNB PTBMVOPTEFWFNTFSDPOGSPOUBEPTDPNBOFDFTTJEBEFEFQSPEV[JS FJOUFSQSFUBSJOGPSNBÎÍPFTUBUÓTUJDB EFWFOEPTFSFTUJNVMBEPTBTJOUFUJ[BSFEJTDVUJSJOGPSNBÎÍPFBDPNVOJDBS SFTVMUBEPT VTBOEPUBCFMBTFHSÈGJDPTFVNWPDBCVMÈSJPBEFRVBEP/FTUFDJDMP PTBMVOPTJOJDJBNPFTUVEPEF EBEPTRVBOUJUBUJWPTDPOUÓOVPT VUJMJ[BOEPPEJBHSBNBEFDBVMFFGPMIBTQBSBPTSFQSFTFOUBSFN F QBSBSFQSFTFO UBSEBEPTRVFFWPMVFNDPNPUFNQP TÍPJOUSPEV[JEPTPTHSÈGJDPTEFMJOIB"QBSEBTSFQSFTFOUBÎÜFTHSÈGJDBT BT NFEJEBTFTUBUÓTUJDBTFTUVEBEBTOFTUFDJDMP NÏEJBBSJUNÏUJDB FYUSFNPTFBNQMJUVEF DPOTUJUVFNGFSSBNFOUBT NVJUPÞUFJTOBJOUFSQSFUBÎÍPFBOÈMJTFEPTEBEPT 5ØQJDPTFPCKFDUJWPTFTQFDÓGJDPT 5»1*$04

0#+&$5*704&41&$¶'*$04

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t 'PSNVMBSRVFTUÜFTTVTDFQUÓWFJT t 1SPQPSFTPMJDJUBSFYFNQMPTEFTJUVBÎÜFT EFUSBUBNFOUPFTUBUÓTUJDP FJEFOUJGJDBS EBWJEBSFBM PTEBEPTBSFDPMIFSFBGPSNB t 1SPQPSQFRVFOPTQSPKFDUPT EFPTPCUFS JEFOUJGJDBOEPPTEBEPTBSFDPMIFS t %JTUJOHVJSEBEPTEFOBUVSF[B PTQSPDFTTPTEFSFDPMIBFPT RVBMJUBUJWBEFEBEPTEFOBUVSF[B QSPDFEJNFOUPTQBSBBTVBPSHBOJ[BÎÍP RVBOUJUBUJWB EJTDSFUBPVDPOUÓOVB t 3FDPMIFSEBEPTSFDPSSFOEP t 3FDPMIFS DMBTTJGJDBSFNDBUFHPSJBTPV BPCTFSWBÎÜFTPVFYQFSJNFOUBÎÜFT DMBTTFT FPSHBOJ[BSEBEPTEFOBUVSF[B FBGPOUFTTFDVOEÈSJBT DPNPB*OUFSOFU EJWFSTB


PARTE


1

5»1*$04

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NOTAS

t 5BCFMBTEFGSFRVÐODJBTBCTPMVUBT FSFMBUJWBT t (SÈGJDPTEFCBSSBT DJSDVMBSFT EFMJOIBFEJBHSBNBT EFDBVMFFGPMIBT t .ÏEJBBSJUNÏUJDB t &YUSFNPTFBNQMJUVEF

t $POTUSVJSFJOUFSQSFUBSUBCFMBT EFGSFRVÐODJBTBCTPMVUBTFSFMBUJWBT HSÈGJDPTEFCBSSBT DJSDVMBSFT EFMJOIB FEJBHSBNBTEFDBVMFFGPMIBT t $PNQSFFOEFSFEFUFSNJOBSBNÏEJB BSJUNÏUJDBEFVNDPOKVOUPEFEBEPT FJOEJDBSBBEFRVBÎÍPEBTVBVUJMJ[BÎÍP OVNEBEPDPOUFYUP t $PNQSFFOEFSFEFUFSNJOBS PTFYUSFNPTFBBNQMJUVEFEFVN DPOKVOUPEFEBEPT t *OUFSQSFUBSPTSFTVMUBEPTRVFEFDPSSFN EBPSHBOJ[BÎÍPFSFQSFTFOUBÎÍPEF EBEPT FGPSNVMBSDPOKFDUVSBTBQBSUJS EFTTFTSFTVMUBEPT t 6UJMJ[BSJOGPSNBÎÍPFTUBUÓTUJDBQBSB SFTPMWFSQSPCMFNBTFUPNBSEFDJTÜFT

t &YQMPSBSTJUVBÎÜFTRVFFWJEFODJFN GPOUFTEFFOWJFTBNFOUP OBSFDPMIB EFEBEPT1PSFYFNQMP QBSBTBCFS TFPTBMVOPTEFVNBFTDPMBHPTUBN EFGVUFCPM VUJMJ[BSDPNPBNPTUSB VNBUVSNBRVFQSBUJDBGVUFCPM t 1BSBPFTUVEPEFEBEPTEJTDSFUPT PVDPOUÓOVPT DPOTUSVJSEJBHSBNBT EFDBVMFFGPMIBTFVUJMJ[ÈMPTQBSB PCUFSPTFYUSFNPTEFVNDPOKVOUP EFEBEPT t 6UJMJ[BSHSÈGJDPTEFMJOIBQBSBSFHJTUP EFPCTFSWBÎÜFTRVFFWPMVFNDPN PUFNQP QPSFYFNQMP BUFNQFSBUVSB OVNBTBMBBPMPOHPEPEJB t 4BMJFOUBSRVFBNÏEJBTØQPEFTFS DBMDVMBEBQBSBEBEPTRVBOUJUBUJWPT t 3FBMÎBSBOBUVSF[BEJTUJOUBEBT EJGFSFOUFTNFEJEBTDBMDVMBEBTBQBSUJS EPTEBEPTBNÏEJB MPDBMJ[BOEP PDFOUSPEBEJTUSJCVJÎÍPEPTEBEPT PTFYUSFNPT MPDBMJ[BOEPPVUSPTQPOUPT JNQPSUBOUFTBBNQMJUVEF NFEJOEP BWBSJBCJMJEBEFQSFTFOUFEPTEBEPT t /BBOÈMJTFEBQMBVTJCJMJEBEF EFDPOKFDUVSBT VUJMJ[BSPTUFSNPT jJNQPTTÓWFMx jQPTTÓWFMx jDFSUPx jQSPWÈWFMx jJHVBMNFOUFQSPWÈWFMx FjJNQSPWÈWFMx t 6UJMJ[BSBTUBCFMBTEFGSFRVÐODJBT SFMBUJWBTQBSBFYQMPSBSBSFHVMBSJEBEF BMPOHPUFSNPFNTJUVBÎÜFTBMFBUØSJBT

$BQBDJEBEFTUSBOTWFSTBJT "SUJDVMBÎÍPDPNPDJDMP /PDJDMP PTBMVOPTSFTPMWFNQSPCMFNBTFNDPOUFYUPTNBUFNÈUJDPTFOÍPNBUFNÈUJDPT DPODFCFOEPFQPOEP FNQSÈUJDBFTUSBUÏHJBTWBSJBEBT/PDJDMP BMBSHBNPSFQPSUØSJPEFFTUSBUÏHJBTEFSFTPMVÎÍPEFQSPCMFNBT BQSPGVOEBNBBOÈMJTFEBQMBVTJCJMJEBEFEPTSFTVMUBEPTPCUJEPTFBBEFRVBÎÍPEPTQSPDFTTPTVUJMJ[BEPT"JOEB OPDJDMP PTBMVOPTFYQMJDBNJEFJBTFQSPDFTTPTFKVTUJGJDBNSFTVMUBEPTNBUFNÈUJDPT VNBCBTFBQBSUJSEBRVBM OPDJDMP EFTFOWPMWFNPTFVSBDJPDÓOJPNBUFNÈUJDP GPSNVMBOEPFUFTUBOEPDPOKFDUVSBT SFDPSSFOEPBFYFNQMPT FDPOUSBFYFNQMPTFËBOÈMJTFFYBVTUJWBEFDBTPTFGB[FOEPEFEVÎÜFTJOGPSNBJTFHFOFSBMJ[BÎÜFT/BDPNVOJDB ÎÍP PTBMVOPTFWPMVFNOBGPSNBEFFYQSJNJSFNBTTVBTJEFJBTFEFEFTDSFWFSFNPTQSPDFTTPTNBUFNÈUJDPTVUJ MJ[BEPT QSPHSFEJOEPOBUSBEVÎÍPEFSFMBÎÜFTEBMJOHVBHFNOBUVSBMQBSBBMJOHVBHFNNBUFNÈUJDBFWJDFWFSTB OBWBSJFEBEFEFGPSNBTEFSFQSFTFOUBÎÍPNBUFNÈUJDBRVFVTBNFOPSJHPSDPNRVFPGB[FN 1SPQØTJUPQSJODJQBMEPFOTJOP %FTFOWPMWFSOPTBMVOPTBTDBQBDJEBEFTEFSFTPMVÎÍPEFQSPCMFNBT EFSBDJPDÓOJPFEFDPNVOJDBÎÍPNBUFNÈUJDPT FEFBTVTBSOBDPOTUSVÎÍP DPOTPMJEBÎÍPFNPCJMJ[BÎÍPEPTDPOIFDJNFOUPTNBUFNÈUJDPT 0CKFDUJWPTHFSBJTEFBQSFOEJ[BHFN $PNBBQSFOEJ[BHFN OFTUFDJDMP PTBMVOPTEFWFNEFTFOWPMWFSBTVBDBQBDJEBEFEF t SFTPMWFSQSPCMFNBTFNDPOUFYUPTNBUFNÈUJDPTFOÍPNBUFNÈUJDPT BEBQUBOEP DPODFCFOEPFQPOEPFN QSÈUJDBFTUSBUÏHJBTWBSJBEBTFEJTDVUJOEPBTTPMVÎÜFTFODPOUSBEBTFPTQSPDFTTPTVUJMJ[BEPT


PARTE


t SBDJPDJOBSNBUFNBUJDBNFOUF GPSNVMBOEPFUFTUBOEPDPOKFDUVSBTFHFOFSBMJ[BÎÜFT FEFTFOWPMWFOEPFBWBMJBOEP BSHVNFOUPTNBUFNÈUJDPTSFMBUJWPTBSFTVMUBEPT JEFJBTFQSPDFTTPTNBUFNÈUJDPT t DPNVOJDBSPSBMNFOUFFQPSFTDSJUP SFDPSSFOEPËMJOHVBHFNOBUVSBMFËMJOHVBHFNNBUFNÈUJDB JOUFSQSFUBOEP FYQSFTTBOEPFEJTDVUJOEPSFTVMUBEPT JEFJBTFQSPDFTTPTNBUFNÈUJDPT *OEJDBÎÜFTNFUPEPMØHJDBT Resolução de problemas"SFTPMVÎÍPEFQSPCMFNBTÏVNBDBQBDJEBEFRVFTFBSUJDVMBDPNBTPVUSBTDBQBDJEBEFT NBUFNÈUJDBTFEFWFTFSUSBCBMIBEBFNUPEPTPTUFNBTNBUFNÈUJDPT DPOGFSJOEPDPFSÐODJBËBQSFOEJ[BHFN NBUFNÈUJDB0TFVEFTFOWPMWJNFOUPÏGBWPSFDJEPDPNVNBFYQFSJÐODJBDPOUJOVBEBEFSFTPMVÎÍPEFQSPCMFNBT EFUJQPFDPOUFYUPWBSJBEPT TPMJDJUBOEPBVUJMJ[BÎÍPEFEJGFSFOUFTFTUSBUÏHJBTFBTVBBQSFDJBÎÍP CFNDPNPBEPT SFTVMUBEPTPCUJEPT&TUBFYQFSJÐODJB BMÏNEJTTP GBWPSFDFPEFTFOWPMWJNFOUPEBBVUPDPOGJBOÎBEPTBMVOPTFBTVB BVUPOPNJBOPUSBCBMIPDPNTJUVBÎÜFTOÍPGBNJMJBSFT 4FSDBQB[EFSFTPMWFSQSPCMFNBTQSFTTVQÜFRVFPBMVOPSFBMJ[BDPNTVDFTTPWÈSJBTFUBQBT"TTJN FMFUFNEFTFS DBQB[EFDPNQSFFOEFSPQSPCMFNB JEFOUJGJDBOEPBJOGPSNBÎÍPBEFRVBEBFPPCKFDUJWPQSFUFOEJEPEFEFGJOJS VNQMBOP TFMFDDJPOBOEPFTUSBUÏHJBTFSFDVSTPTBQSPQSJBEPTEFBQMJDBSPQMBOP QPOEPFNQSÈUJDBBTFTUSBUÏHJBT FTDPMIJEBTPVVTBOEPFTUSBUÏHJBTBMUFSOBUJWBTQBSBTVQFSBSEJGJDVMEBEFTF GJOBMNFOUF EFWFSJGJDBSTPMVÎÜFTFSFWFS QSPDFTTPT /FTUFDJDMPEFFOTJOP BMÏNEPTQSPCMFNBTRVFDPSSFTQPOEFNBTJUVBÎÜFTEBWJEBRVPUJEJBOB PTBMVOPTEFWFN SFTPMWFSQSPCMFNBTRVFTFSFMBDJPOFNDPNPVUSBTÈSFBTEJTDJQMJOBSFTFUBNCÏNQSPCMFNBTSFMBUJWPTBTJUVBÎÜFT NBUFNÈUJDBT%FOUSPEFDBEBUJQP PTBMVOPTEFWFNUFSBNQMBTPQPSUVOJEBEFTEFMJEBSDPNVNBHSBOEFEJWFSTJEBEF EFQSPCMFNBT QPSFYFNQMP QSPCMFNBTDPNNBJTEFVNBTPMVÎÍP DPNFYDFTTPEFEBEPTPVTFNTPMVÎÍP 3FTPMWFSQSPCMFNBTEFWFTFS OBBVMBEF.BUFNÈUJDB UBOUPVNQPOUPEFQBSUJEBQBSBOPWBTBQSFOEJ[BHFOT FN RVFPTBMVOPTEFTFOWPMWFNPTFVDPOIFDJNFOUPNBUFNÈUJDP DPNPVNBPDBTJÍPEFBQMJDBÎÍPEFBQSFOEJ[BHFOT QSFDFEFOUFT OBRVBMPTBMVOPTNPCJMJ[BNFQÜFNFNBDÎÍPPTFVDPOIFDJNFOUP"EJTDVTTÍPEPTQSPCMFNBT UBOUPFNQFRVFOPTHSVQPTDPNPFNDPMFDUJWP ÏVNBWJBJNQPSUBOUFQBSBQSPNPWFSBSFGMFYÍPEPTBMVOPT DPOEV[JSËTJTUFNBUJ[BÎÍPEFJEFJBTFQSPDFTTPTNBUFNÈUJDPTFFTUBCFMFDFSSFMBÎÜFTDPNPVUSPTQSPCMFNBTPV DPNWBSJBOUFTFFYUFOTÜFTEPNFTNPQSPCMFNB Raciocínio matemático1BSBEFTFOWPMWFSFNFTUBDBQBDJEBEF PTBMVOPTEFWFNUFSFYQFSJÐODJBTRVFMIFTQSPQPS DJPOFNPQPSUVOJEBEFEFBDPNQBOIBSSBDJPDÓOJPTNBUFNÈUJDPTFEFFMBCPSBSFKVTUJGJDBSPTTFVTSBDJPDÓOJPT/FTUF QSPDFTTP PQFOTBNFOUPEPTBMVOPTÏFTUJNVMBEPRVBOEPTFDPMPDBNRVFTUÜFTDPNPj1PSRVFTFSÈRVFJTTP BDPOUFDF 0RVFBDPOUFDFTF yx QSPDVSBOEPRVFFYQSFTTFNFEFTFOWPMWBNJEFJBTFDMBSJGJRVFNFPSHBOJ[FN PTTFVTSBDJPDÓOJPT5PEPTPTBMVOPTEFWFNTFSFODPSBKBEPTBQBSUJDJQBSOFTTFTNPNFOUPTEFQBSUJMIBFEFCBUF QBSBRVF QSPHSFTTJWBNFOUF TFKBNDBQB[FTEFFYQMJDBSFKVTUJGJDBSPTFVSBDJPDÓOJP EBOEPFYQMJDBÎÜFTDMBSBT FDPFSFOUFT JODPSQPSBOEPQSPQSJFEBEFTFSFMBÎÜFTNBUFNÈUJDBT %PNFTNPNPEP PQSPGFTTPSEFWFJODFOUJWBSBGPSNVMBÎÍPFPUFTUFEFDPOKFDUVSBTRVFEFWFNTFSKVTUJGJDBEPT DPNCBTFFNBSHVNFOUPTNBUFNÈUJDPTF UBNCÏNBRVJ FMFEFTFNQFOIBVNQBQFMGVOEBNFOUBMBUSBWÏTEP RVFTUJPOBNFOUPRVFGB[ EBTQJTUBTRVFEÈFEPNPEPDPNPJODFOUJWBPTBMVOPT USBOTNJUJOEPMIFTDPOGJBOÎB OBTTVBTDBQBDJEBEFTEFSBDJPDJOBSFNNBUFNBUJDBNFOUF2VFTUÜFTEPUJQPj"SFTQPTUBFTUÈCFNKVTUJGJDBEB )BWFSJBPVUSBTKVTUJGJDBÎÜFT xGBWPSFDFNBDPNQSFFOTÍPEFVNSFTVMUBEPPVEBSFTQPTUBBVNBRVFTUÍP FEB JNQPSUÉODJBEBTVBKVTUJGJDBÎÍP Comunicação matemática1BSBEFTFOWPMWFSFNFTUBDBQBDJEBEF PTBMVOPTUÐNRVFBERVJSJSFVTBSBUFSNJOPMPHJB FBTJNCPMPHJBBQSPQSJBEBT BUSBWÏTEFVNFOWPMWJNFOUPFNTJUVBÎÜFTEFDPNVOJDBÎÍPPSBMFFTDSJUBFFNJOUF SBDÎÜFTEFEJGFSFOUFTUJQPTQSPGFTTPSBMVOP BMVOP T BMVOP T /FTUBTTJUVBÎÜFT EFWFNEJTQPSEFPQPSUVOJEB EFTGSFRVFOUFTQBSBJOUFSQSFUBSUFYUPT BQSFTFOUBSJEFJBTFDPMPDBSRVFTUÜFT FYQPSEÞWJEBTFEJGJDVMEBEFT QSP OVODJBSTFTPCSFPTTFVTFSSPTFPTEPTDPMFHBT SFDPSSFOEPUBOUPËMJOHVBHFNOBUVSBMDPNPËMJOHVBHFN NBUFNÈUJDB &NCPSBBDPNVOJDBÎÍPPSBMTFKBQSFEPNJOBOUFOBBVMBEF.BUFNÈUJDB ÏOFDFTTÈSJPEFTFOWPMWFSBDBQBDJEBEF EFDPNVOJDBÎÍPFTDSJUB OPNFBEBNFOUFBUSBWÏTEBFMBCPSBÎÍPEFSFMBUØSJPTEFUBSFGBTFQFRVFOPTUFYUPT MFWBOEP PTBMVOPTBFYQSFTTBSFSFQSFTFOUBSBTTVBTJEFJBT QBTTBOEPBJOGPSNBÎÍPEFVNUJQPEFSFQSFTFOUBÎÍPQBSBPVUSP FVTBOEPEFGPSNBBEFRVBEBBTJNCPMPHJBFBUFSNJOPMPHJBEB.BUFNÈUJDB


PARTE


1

"DPNVOJDBÎÍPÏVNBQBSUFFTTFODJBMEBBDUJWJEBEFNBUFNÈUJDBEPTBMVOPTFNBVMB EFTFNQFOIBOEPVNQBQFM GVOEBNFOUBMOBBQSFOEJ[BHFNEBEJTDJQMJOB"BQSFTFOUBÎÍPFBWBMJBÎÍPEFSFTVMUBEPT BFYQSFTTÍP BQBSUJMIBFP DPOGSPOUPEFJEFJBTFBFYQMJDJUBÎÍPEFQSPDFTTPTEFSBDJPDÓOJPDPOTUJUVFNPQPSUVOJEBEFTQBSBBDMBSJGJDBÎÍP FPEFTFOWPMWJNFOUPEPQFOTBNFOUPFQBSBBDPOTUSVÎÍPEPDPOIFDJNFOUPNBUFNÈUJDP 5ØQJDPTFPCKFDUJWPTFTQFDÓGJDPT 5»1*$04

0#+&$5*704&41&$¶'*$04

NOTAS

3FTPMVÎÍPEFQSPCMFNBT t $PNQSFFOTÍPEPQSPCMFNB t $PODFQÎÍP BQMJDBÎÍP FKVTUJGJDBÎÍPEFFTUSBUÏHJBT

t *EFOUJGJDBSPTEBEPT BTDPOEJÎÜFT t 6TBSGPSNVMBÎÜFTEFQSPCMFNBT FPPCKFDUJWPEPQSPCMFNB QPSFYFNQMP DPNJOGPSNBÎÍP t $PODFCFSFQÙSFNQSÈUJDBFTUSBUÏHJBT JSSFMFWBOUFPVEBEPTJOTVGJDJFOUFT EFSFTPMVÎÍPEFQSPCMFNBT PVTFNTPMVÎÍP WFSJGJDBOEPBBEFRVBÎÍP t 4PMJDJUBS RVBOEPBQSPQSJBEP EPTSFTVMUBEPTPCUJEPT PSFDVSTPBFTRVFNBTFFTUSBUÏHJBT FEPTQSPDFTTPTVUJMJ[BEPT JOGPSNBJTCFNDPNPPVTPEB t "WFSJHVBSBQPTTJCJMJEBEF DBMDVMBEPSB EFBCPSEBHFOTEJWFSTJGJDBEBTQBSB t 1SPQPSQSPCMFNBTRVFQFSNJUBN BSFTPMVÎÍPEFVNQSPCMFNB EJWFSTPTUJQPTEFFTUSBUÏHJBTEF SFTPMVÎÍP QPSFYFNQMPQBSUJSEPGJN QBSBPQSJODÓQJP UFOUBUJWBFFSSP DSJBÎÍPEFVNQSPCMFNBFRVJWBMFOUF TJNQMJGJDBÎÍPEPQSPCMFNB JEFOUJGJDBÎÍPEFSFHVMBSJEBEFT VUJMJ[BÎÍPEFDBTPTNBJTTJNQMFT PVQBSUJDVMBSFT t 6TBSFYFNQMPTRVFQFSNJUBN EJTUJOHVJSFOUSFBSFTQPTUBËRVFTUÍP RVFPQSPCMFNBDPMPDBFPSFTVMUBEP EPTDÈMDVMPTFGFDUVBEPT t 4PMJDJUBSBWFSJGJDBÎÍPFJOUFSQSFUBÎÍP EPTSFTVMUBEPTDPNQFSHVOUBTDPNP j"SFTQPTUBFODPOUSBEBÏQMBVTÓWFM x j$PNPQPEFSFNPTBTTFHVSBSNPOPT RVFBSFTQPTUBFTUÈDFSUB x t %JTDVUJSPQSPCMFNBOBUVSNBDPN RVFTUÜFTEPUJQPj"MHVÏNSFTPMWFV PQSPCMFNBEFPVUSBGPSNB x j0RVF BDPOUFDFSÈTFBMUFSBSNPTPTEBEPT x j&BTDPOEJÎÜFT x j&PPCKFDUJWP x t *ODFOUJWBSBGPSNVMBÎÍPEFQSPCMFNBT BQBSUJSEFTJUVBÎÜFTNBUFNÈUJDBT FOÍPNBUFNÈUJDBT

3BDJPDÓOJPNBUFNÈUJDP t +VTUJGJDBÎÍP t "SHVNFOUBÎÍP t 'PSNVMBÎÍPFUFTUF EFDPOKFDUVSBT

t &YQMJDBSFKVTUJGJDBSPTQSPDFTTPT JEFJBTFSFTVMUBEPTNBUFNÈUJDPT SFDPSSFOEPBFYFNQMPTFDPOUSB FYFNQMPTFËBOÈMJTFFYBVTUJWB EFDBTPT t 'PSNVMBSFUFTUBSDPOKFDUVSBT FHFOFSBMJ[BÎÜFTFKVTUJGJDÈMBT GB[FOEPEFEVÎÜFTJOGPSNBJT


t 'B[FSQFSHVOUBTEPUJQPj$PNP GJ[FTUF x j1PSRVFDPOTJEFSBTDFSUP PRVFGJ[FTUF x t 'B[FSQFSHVOUBTEPUJQPj0RVF BDPOUFDFSÈTFy x j*TUPWFSJGJDBSTFÈ TFNQSF x t 4PMJDJUBSBBQSFTFOUBÎÍPEFBSHVNFOUPT BTTJNDPNPFYFNQMPTFDPOUSB FYFNQMPT t "USBWÏTEBBQSFTFOUBÎÍPEFFYFNQMPT FEFPVUSPTDBTPTQBSUJDVMBSFTFEF QFSHVOUBTDPNPj0RVFBDPOUFDFSÈ BTFHVJS x j4FSÈRVFJTUPÏWÈMJEPQBSB PVUSPTDBTPT x UFOUBSRVFPTBMVOPT GBÎBNHFOFSBMJ[BÎÜFT

PARTE

5»1*$04

NOTAS

t *OUFSQSFUBSBJOGPSNBÎÍPFJEFJBT NBUFNÈUJDBTSFQSFTFOUBEBT EFEJWFSTBTGPSNBT t 3FQSFTFOUBSJOGPSNBÎÍPFJEFJBT NBUFNÈUJDBTEFEJWFSTBTGPSNBT t 5SBEV[JSSFMBÎÜFTEFMJOHVBHFN OBUVSBMQBSBMJOHVBHFNNBUFNÈUJDB FWJDFWFSTB t &YQSJNJSJEFJBTFQSPDFTTPT NBUFNÈUJDPT PSBMNFOUFFQPSFTDSJUP VTBOEPBOPUBÎÍP TJNCPMPHJB FWPDBCVMÈSJPQSØQSJPT t %JTDVUJSSFTVMUBEPT JEFJBTFQSPDFTTPT NBUFNÈUJDPT

t 6TBSDPNPSFDVSTPTMJWSPT NBOVBJT KPSOBJT *OUFSOFU t 6UJMJ[BSEJWFSTPTUJQPTEFSFQSFTFOUBÎÍP QJDUØSJDB HSÈGJDB TJNCØMJDB

JODMVJOEP PSFDVSTPBUBCFMBTFFTRVFNBT t 4PMJDJUBSPVTPEFOPUBÎÜFT WPDBCVMÈSJP FTJNCPMPHJB EFGPSNBDPOTJTUFOUF t *ODFOUJWBSBFYQPTJÎÍPFEJTDVTTÍP EFJEFJBTNBUFNÈUJDBTFNQFRVFOPT HSVQPTFOBUVSNB TPMJDJUBOEP BFYQMJDBÎÍPEPTQSPDFTTPT FSFTVMUBEPTFBKVTUJGJDBÎÍP EFBGJSNBÎÜFTFBSHVNFOUPT t %BSUFNQPBPTBMVOPTQBSBDMBSJGJDBSFN BTTVBTJEFJBTFSBDJPDÓOJPT

$PNVOJDBÎÍPNBUFNÈUJDB t *OUFSQSFUBÎÍP t 3FQSFTFOUBÎÍP t &YQSFTTÍP t %JTDVTTÍP



0#+&$5*704&41&$¶'*$04

PARTE

1

2VBESPTUFNÈUJDPT


/ÞNFSPTF0QFSBÎÜFT $*$-0 FBOPT

FBOPT

/ÞNFSPTOBUVSBJT t /PÎÍPEFOÞNFSPOBUVSBM t 3FMBÎÜFTOVNÏSJDBT t 4JTUFNBEFOVNFSBÎÍP EFDJNBM

/ÞNFSPTOBUVSBJT t 3FMBÎÜFTOVNÏSJDBT t .ÞMUJQMPTFEJWJTPSFT

0QFSBÎÜFT DPNOÞNFSPTOBUVSBJT t "EJÎÍP t 4VCUSBDÎÍP t .VMUJQMJDBÎÍP t %JWJTÍP

0QFSBÎÜFT DPNOÞNFSPTOBUVSBJT t "EJÎÍP t 4VCUSBDÎÍP t .VMUJQMJDBÎÍP t %JWJTÍP

3FHVMBSJEBEFT t 4FRVÐODJBT

3FHVMBSJEBEFT t 4FRVÐODJBT

/ÞNFSPTSBDJPOBJT OÍPOFHBUJWPT t 'SBDÎÜFT

/ÞNFSPTSBDJPOBJT OÍPOFHBUJWPT t 'SBDÎÜFT t %FDJNBJT

$*$-0

$*$-0

/ÞNFSPTOBUVSBJT t /ÞNFSPTQSJNPT FDPNQPTUPT t %FDPNQPTJÎÍP FNGBDUPSFTQSJNPT t .ÓOJNPNÞMUJQMPDPNVN FNÈYJNPEJWJTPSDPNVN EFEPJTOÞNFSPT t $SJUÏSJPTEFEJWJTJCJMJEBEF t 1PUÐODJBTEFCBTF FFYQPFOUFOBUVSBJT t 1PUÐODJBTEFCBTF t .VMUJQMJDBÎÍPFEJWJTÍP EFQPUÐODJBT t 1SPQSJFEBEFTEBT PQFSBÎÜFTFSFHSBT PQFSBUØSJBT /ÞNFSPTJOUFJSPT t /PÎÍPEFOÞNFSPJOUFJSP FSFQSFTFOUBÎÍPOBSFDUB OVNÏSJDB t $PNQBSBÎÍPFPSEFOBÎÍP t "EJÎÍPFTVCUSBDÎÍPDPN SFQSFTFOUBÎÍPOBSFDUB OVNÏSJDB

/ÞNFSPTJOUFJSPT t .VMUJQMJDBÎÍPFEJWJTÍP QSPQSJFEBEFT t 1PUÐODJBT SBJ[RVBESBEB FSBJ[DÞCJDB

/ÞNFSPTSBDJPOBJT OÍPOFHBUJWPT t /PÎÍPFSFQSFTFOUBÎÍP EFOÞNFSPSBDJPOBM t $PNQBSBÎÍPFPSEFOBÎÍP t 0QFSBÎÜFT t 7BMPSFTBQSPYJNBEPT t 1FSDFOUBHFN

/ÞNFSPTSBDJPOBJT t 3FQSFTFOUBÎÍP DPNQBSBÎÍPFPSEFOBÎÍP t 0QFSBÎÜFT QSPQSJFEBEFT FSFHSBTPQFSBUØSJBT

/ÞNFSPTSFBJT t /PÎÍPEFOÞNFSPSFBM FSFDUBSFBM t 3FMBÎÜFT,F.FN*3 t *OUFSWBMPT


PARTE

(FPNFUSJBF.FEJEB

1

FBOPT

FBOPT

0SJFOUBÎÍPFTQBDJBM t 1PTJÎÍPFMPDBMJ[BÎÍP t 1POUPTEFSFGFSÐODJB FJUJOFSÈSJPT t 1MBOUBT

0SJFOUBÎÍPFTQBDJBM t 1PTJÎÍPFMPDBMJ[BÎÍP t .BQBT QMBOUBTF NBRVFUBT

'JHVSBTOPQMBOP FTØMJEPTHFPNÏUSJDPT t 1SPQSJFEBEFT FDMBTTJGJDBÎÍP t *OUFSJPS FYUFSJPSFGSPOUFJSB t $PNQPTJÎÍP FEFDPNQPTJÎÍP EFGJHVSBT t -JOIBTSFDUBTFDVSWBT t 3FGMFYÍP

'JHVSBTOPQMBOP FTØMJEPTHFPNÏUSJDPT t 1SPQSJFEBEFT FDMBTTJGJDBÎÍP t 1MBOJGJDBÎÍPEPDVCP t $ÓSDVMPFDJSDVOGFSÐODJB t /PÎÍPEFÉOHVMP t 3FDUBTQBSBMFMBT FQFSQFOEJDVMBSFT t 3FGMFYÍP

%JOIFJSP t .PFEBT OPUBT FDPOUBHFN t $PNQBSBÎÍPFPSEFOBÎÍP EFWBMPSFT t &TUJNBÎÍP $PNQSJNFOUP NBTTB DBQBDJEBEFFÈSFB t .FEJEBFVOJEBEF EFNFEJEB t $PNQBSBÎÍPFPSEFOBÎÍP t .FEJÎÍP t 1FSÓNFUSP t &TUJNBÎÍP

$PNQSJNFOUP NBTTB DBQBDJEBEF ÈSFB FWPMVNF t .FEJEBFNFEJÎÍP t 6OJEBEFTEFNFEJEB4* t 1FSÓNFUSP ÈSFBFWPMVNF t &TUJNBÎÍP

5FNQP t 4FRVÐODJBT EFBDPOUFDJNFOUPT t 6OJEBEFTEFUFNQP FNFEJEBEPUFNQP

5FNQP t 6OJEBEFTEFUFNQP t *OUFSWBMPEFUFNQP t &TUJNBÎÍP

$*$-0

$*$-0

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63

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PARTE

1&3$63405&.«5*$0%&"13&/%*;"(&." BOP

BOP

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t .VMUJQMJDBÎÍPFEJWJTÍP QSPQSJFEBEFT t 3BJ[RVBESBEBFSBJ[DÞCJDB t 1PUÐODJBTEFCBTFJOUFJSBFFYQPFOUF *TPNFUSJBT t 5SBOTMBÎÍPBTTPDJBEBBVNWFDUPS OBUVSBM t 1SPQSJFEBEFTEBTJTPNFUSJBT 5SJÉOHVMPTFRVBESJMÈUFSPT t 4PNBEPTÉOHVMPTJOUFSOPT 'VOÎÜFT t 'VOÎÜFTMJOFBSFBGJN FFYUFSOPTEFVNUSJÉOHVMP t $ POHSVÐODJBEFUSJÉOHVMPT t 1SPQSJFEBEFT DMBTTJGJDBÎÍP &RVBÎÜFT t &RVBÎÜFTEPHSBVBVNB FDPOTUSVÎÍPEFRVBESJMÈUFSPT JODØHOJUB DPNEFOPNJOBEPSFT

t 4JTUFNBTEFEVBTFRVBÎÜFT 4FRVÐODJBTFSFHVMBSJEBEFT EPHSBVBEVBTJODØHOJUBT t 5FSNPHFSBMEFVNBTFRVÐODJB OVNÏSJDB 1MBOFBNFOUPFTUBUÓTUJDP t 3FQSFTFOUBÎÍP t &TQFDJGJDBÎÍPEPQSPCMFNB t 3FDPMIBEFEBEPT 'VOÎÜFT t $PODFJUPEFGVOÎÍPFEFHSÈGJDPEF t 1PQVMBÎÍPFBNPTUSB VNBGVOÎÍP EPNÓOJPSBDJPOBJTOÍP 4FRVÐODJBTFSFHVMBSJEBEFT OFHBUJWPT

t &YQSFTTÜFTBMHÏCSJDBT t 1SPQPSDJPOBMJEBEFEJSFDUBDPNP GVOÎÍP &RVBÎÜFT t &RVBÎÜFTMJUFSBJT &RVBÎÜFT t 0QFSBÎÜFTDPNQPMJOØNJPT t &RVBÎÜFTEPHSBVBVNB t &RVBÎÜFT JODPNQMFUBT EPHSBV JODØHOJUB DPNQBSÐOUFTFTNBT BVNBJODØHOJUB TFNEFOPNJOBEPSFT

BOP 'VOÎÜFT t 1SPQPSDJPOBMJEBEFJOWFSTB DPNPGVOÎÍP t 'VOÎÜFTEPUJQPy 5 aû &RVBÎÜFT t &RVBÎÜFT DPNQMFUBT EPHSBV BVNBJODØHOJUB $JSDVOGFSÐODJB t ¬OHVMPBPDFOUSP ÉOHVMPJOTDSJUP FÉOHVMPFYDÐOUSJDP t -VHBSFTHFPNÏUSJDPT t $JSDVOGFSÐODJBJOTDSJUB FDJSDVOGFSÐODJBDJSDVOTDSJUB BVNUSJÉOHVMP t 1PMÓHPOPSFHVMBSJOTDSJUP OVNBDJSDVOGFSÐODJB 1SPCBCJMJEBEF t /PÎÍPEFGFOØNFOPBMFBUØSJP FEFFYQFSJÐODJBBMFBUØSJB t /PÎÍPFDÈMDVMPEBQSPCBCJMJEBEF EFVNBDPOUFDJNFOUP /ÞNFSPTSFBJT t /PÎÍPEFOÞNFSPSFBMFSFDUBSFBM t 3FMBÎÜFT,F.FN*3 t *OUFSWBMPT *OFRVBÎÜFT t *OFRVBÎÜFTEPHSBVBVNB JODØHOJUB 5SJHPOPNFUSJBOPUSJÉOHVMP SFDUÉOHVMP t 3B[ÜFTUSJHPOPNÏUSJDBTEFÉOHVMPT BHVEPT t 3FMBÎÜFTFOUSFSB[ÜFT USJHPOPNÏUSJDBT


PARTE


1

1&3$63405&.«5*$0%&"13&/%*;"(&.# BOP 0SJFOUBÎÍPFTQBDJBM t 1PTJÎÍPFMPDBMJ[BÎÍP t 1POUPTEFSFGFSÐODJBFJUJOFSÈSJPT

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t -JOIBTSFDUBTFDVSWBT t 3FGMFYÍP

/ÞNFSPTOBUVSBJT t /PÎÍPEFOÞNFSPOBUVSBM t 3FMBÎÜFTOVNÏSJDBT t 4JTUFNBEFOVNFSBÎÍPEFDJNBM MFSFSFQSFTFOUBS OÞNFSPT

/ÞNFSPTOBUVSBJT t 4JTUFNBEFOVNFSBÎÍPEFDJNBM DPNQSFFOEFSPWBMPS QPTJDJPOBMEFVNBMHBSJTNP

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t *OUFSJPS FYUFSJPSFGSPOUFJSB t $PNQPTJÎÍPFEFDPNQPTJÎÍPEFGJHVSBT 0QFSBÎÜFTDPNOÞNFSPTOBUVSBJT t "EJÎÍP DPNQSFFOEFSPTEJWFSTPTTFOUJEPTEBPQFSBÎÍP DPNQSFFOEFSFNFNPSJ[BSGBDUPTCÈTJDPT

t 4VCUSBDÎÍP DPNQSFFOEFSPTEJWFSTPTTFOUJEPTEB PQFSBÎÍPDPNQSFFOEFSFNFNPSJ[BSGBDUPTCÈTJDPT

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t $PNQBSBÎÍPFPSEFOBÎÍP t .FEJÎÍP t &TUJNBÎÍP 5FNQP t 4FRVÐODJBTEFBDPOUFDJNFOUPT

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t %JWJTÍP SFDPOIFDFSTJUVBÎÜFTFOWPMWFOEPBEJWJTÍP

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t $PNQBSBÎÍPFPSEFOBÎÍP t .FEJÎÍP t &TUJNBÎÍP t 1FSÓNFUSP 3FQSFTFOUBÎÍPFJOUFSQSFUBÎÍPEFEBEPT t -FJUVSBFJOUFSQSFUBÎÍPEFJOGPSNBÎÍPBQSFTFOUBEB FNUBCFMBTFHSÈGJDPT t 5BCFMBTEFGSFRVÐODJBTBCTPMVUBT HSÈGJDPTEFQPOUPT FQJDUPHSBNBT /ÞNFSPTSBDJPOBJTOÍPOFHBUJWPT t 'SBDÎÜFT JEFOUJGJDBSQBSUFTTJNQMFTEBVOJEBEFFVTBS PQFSBEPSFT

66


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/ÞNFSPTSBDJPOBJTOÍPOFHBUJWPT t 'SBDÎÜFT TJHOJGJDBEPT

t %FDJNBJT SFQSFTFOUBS DPNQBSBS PSEFOBS BEJDJPOBS FTVCUSBJS

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t 4JUVBÎÜFTBMFBUØSJBT WPDBCVMÈSJPQSØQSJP

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t 4VCUSBDÎÍP DPNQSFFOEFSFSFBMJ[BSBMHPSJUNPT

t .VMUJQMJDBÎÍP t %JWJTÍP DPNQSFFOEFSPTTFOUJEPTEBEJWJTÍP

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t 4VCUSBDÎÍP SFTPMWFSQSPCMFNBT

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t %JWJTÍP DPNQSFFOEFSFSFBMJ[BSBMHPSJUNPT

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67

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68


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70

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2 Guiões didácticos · Guião do professor Unidade 1 Unidade 2 Unidade 3 Unidade 4 Unidade 5 Unidade 6 Unidade 7 · Guião de transparências · Guião de esquemas matemáticos · Soluções do manual do aluno

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.BTTFTFQSFUFOEFSVUJMJ[BSBPQFSBÎÍPEJWJTÍPDPNPBQPTTJCJMJEBEFEFDPOIFDFSPTBHSVQBNFOUPTQPTTÓWFJT FOUÍPQPEFTFSBCPSEBEPEPTFHVJOUFNPEP $PNPÏQPTTÓWFMWFSOBUBCFMB TFBHSVQBSNPTEFFNPFYQPFOUFEBQPUÐODJBEÈHSVQPTFSFTUP "TTJN DPNVNOÞNFSPJOUFJSPEFHSVQPT OFTUFDBTP UFSNJOBNPTDPNPOÞNFSPOBTVOJEBEFT$PNP SFTUBSBN TJHOJGJDBRVFPBMHBSJTNPÏPUFSDFJSPEBTFRVÐODJB PVTFKB Materiais de apoio ao trabalho em sala de aula "TGJDIBTEFUSBCBMIPFTÍPVNBCPBGPSNBEFJOUSPEV[JSBTOPWBTBQSFOEJ[BHFOT BCPSEBOEPPTNÞMUJQMPTEF VNOÞNFSPEFVNBGPSNBNFOPTSPUJOFJSB"USBOTQBSÐODJBSFUPNBBGJDIBEFUSBCBMIP GBDJMJUBOEPBEJTDVTTÍP FNUVSNB 0USBCBMIPDPNPTEJWJTPSFTEFVNOÞNFSPJNQMJDBUBNCÏNBMHVNUSFJOPEFDÈMDVMPNFOUBM QPEFOEPPTBMVOPTDPN NBJTEJGJDVMEBEFTSFDPSSFSËDPOTVMUBEBUBCVBEB JEFOUJGJDBOEPPTQSPEVUPTRVFDPSSFTQPOEFNBFTTFOÞNFSP "USBOTQBSÐODJBSFUPNBVNBBDUJWJEBEFEPNBOVBM PDSJWPEF&SBUØTUFOFT RVFQFSNJUFBEFTDPCFSUBEPT OÞNFSPTQSJNPTNFOPSFTRVF "GJDIBEFUSBCBMIPBQSFTFOUBBMHVOTQSPCMFNBTSFMBUJWPTBNÞMUJQMPTFEJWJTPSFT²TFNQSFEFSFTTBMUBSB OFDFTTJEBEFEFIBCJUVBSPTBMVOPTBJOEJDBSUPEPPTDÈMDVMPTFGFDUVBEPT NFTNPRVFFTUFTTFKBNNVJUPTJNQMFT PVFOWPMWBNVNTØQBTTP0EFTFOWPMWJNFOUPEFTUFIÈCJUPQFSNJUFVNBNFMIPSPSHBOJ[BÎÍPEPUSBCBMIP UPSOB FWJEFOUFPSBDJPDÓOJPFDPOUSJCVJQBSBBNFMIPSJBEBDPNQSFFOTÍPEPTFOVODJBEPT ²OBUVSBMBMHVNBDPOGVTÍPFOUSFPTDPODFJUPTEFNÞMUJQMPFEFQPUÐODJBEFVNOÞNFSP²BDPOTFMIÈWFMPVTPEB DBMDVMBEPSBFEPGBDUPSDPOTUBOUFOPDÈMDVMPEFQPUÐODJBTTFRVFODJBJTEPNFTNPOÞNFSP QFSNJUJOEPBPTBMVOPT BQFSDFQÎÍPEPHSBOEFFSÈQJEPBVNFOUPEPTWBMPSFTPCUJEPT 0FTUVEPEBTQSPQSJFEBEFTEBTPQFSBÎÜFTEFWFTFSFODBSBEPDPNPVNNFJPEFGBDJMJUBSPDÈMDVMP "USBOTQBSÐODJBBQSFTFOUBBTUBCFMBTEBBEJÎÍPFEBNVMUJQMJDBÎÍP QPEFOEPTFSWJSEFCBTFËBOÈMJTFEF SFHVMBSJEBEFTFEJTDVTTÍPFNHSBOEFHSVQP 0USFJOPEPDÈMDVMPNFOUBMQPEFTFSFODPSBKBEPDPNPSFDVSTPBKPHPT OPNFBEBNFOUFPNVJUPEJWVMHBEP+PHP EP.BJTEPRVFVUJMJ[BSDBSUÜFTGPSOFDJEPT QPSRVFOÍPQFEJSBPTBMVOPTRVFPTFMBCPSFNFMFTQSØQSJPT &TUB BDUJWJEBEF QPEFOEPTFSEFNPSBEB QFSNJUJSÈRVFNFTNPPTBMVOPTDPNNBJPSFTEJGJDVMEBEFTOBSFBMJ[BÎÍPEP DÈMDVMPNFOUBMUFOIBNPTFVNPNFOUPEFHMØSJB "QSFTFOUBNPTUSÐTWFSTÜFTEFVNKPHPDPNEPJTEBEPT CJOHPEBTTPNBT EBTEJGFSFOÎBTFEPTQSPEVUPT ²UBNCÏNJODMVÓEPOPNBOVBMVNPVUSPKPHP PEPNJOØEBTRVBUSPPQFSBÎÜFT RVFTFEFTUJOBBHSVQPTEFRVBUSP BMVOPT+PHBTFEPNFTNPNPEPRVFPWVMHBSEPNJOØFBTPQFSBÎÜFTSFTVMUBNFNWBMPSFTFOUSF[FSPFTFJT UBM DPNPOPEPNJOØUSBEJDJPOBM /VODBÏEFNBJTGSJTBSBJNQPSUÉODJBEPKPHPOPEFTFOWPMWFSEFDPNQFUÐODJBTNBUFNÈUJDBT0KPHPÏ BMJÈT VNB EBTFYQFSJÐODJBTEFBQSFOEJ[BHFNRVFUPEPTPTBMVOPTEFWFNEFTFOWPMWFSOBBQSFOEJ[BHFNEB.BUFNÈUJDB 0KPHPQSPQPSDJPOBTFNQSFTJUVBÎÜFTJOGPSNBJT F QPSUBOUP NBJTSJDBT EFEFTDPCFSUB EFEVÎÍPFTFMFDÎÍP JOUFS SFMBDJPOBNFOUPFBGJSNBÎÍPQFTTPBM "TUSBOTQBSÐODJBT FSFTVNFNBTBQSFOEJ[BHFOTFGFDUVBEBT"QSFTFOUBNPTBJOEBBTGJDIBTEFBWBMJBÎÍP FDPNEJGFSFOUFTHSBVTEFEJGJDVMEBEF


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6/*%"%& Números racionais não negativos

Guiões didácticos

5&." Números e operações Tópicos t t t t

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t $ PNQSFFOEFSFVTBSVNOÞNFSPSBDJPOBMDPNPRVPDJFOUF SFMBÎÍPQBSUFoUPEP SB[ÍP NFEJEBFPQFSBEPS t $PNQBSBSFPSEFOBSOÞNFSPTSBDJPOBJTSFQSFTFOUBEPTEFEJGFSFOUFTGPSNBT t -PDBMJ[BSFQPTJDJPOBSOBSFDUBOVNÏSJDBVNOÞNFSPSBDJPOBMOÍPOFHBUJWPSFQSFTFOUBEPOBTTVBTEJGFSFOUFT GPSNBT t 3FQSFTFOUBSTPCBGPSNBEFGSBDÎÍPVNOÞNFSPSBDJPOBMOÍPOFHBUJWPEBEPQPSVNBEÓ[JNBGJOJUB t "EJDJPOBSFTVCUSBJSOÞNFSPTSBDJPOBJTOÍPOFHBUJWPTSFQSFTFOUBEPTFNEJGFSFOUFTGPSNBT t *EFOUJGJDBSFEBSFYFNQMPTEFGSBDÎÜFTFRVJWBMFOUFTBVNBEBEBGSBDÎÍPFFTDSFWFSVNBGSBDÎÍPOBTVBGPSNB JSSFEVUÓWFM t 6UJMJ[BSFTUSBUÏHJBTEFDÈMDVMPNFOUBMFFTDSJUPQBSBBTPQFSBÎÜFTFTUVEBEBTVTBOEPBTTVBTQSPQSJFEBEFT t $PNQSFFOEFSBOPÎÍPEFQFSDFOUBHFNFSFMBDJPOBSEJGFSFOUFTGPSNBTEFBSFQSFTFOUBS t 5SBEV[JSVNBGSBDÎÍPQPSVNBQFSDFOUBHFNFJOUFSQSFUÈMBDPNPPOÞNFSPEFQBSUFTFN t $BMDVMBSFVTBSQFSDFOUBHFOT t 3FTPMWFSQSPCMFNBTRVFFOWPMWBNOÞNFSPTSBDJPOBJTOÍPOFHBUJWPT Competências t " DPNQSFFOTÍPHMPCBMEPTOÞNFSPTFEBTPQFSBÎÜFTFBTVBVUJMJ[BÎÍPEFNBOFJSBGMFYÓWFMQBSBGB[FSKVMHBNFOUPT NBUFNÈUJDPTFEFTFOWPMWFSFTUSBUÏHJBTÞUFJTEFNBOJQVMBÎÍPEPTOÞNFSPTFEBTPQFSBÎÜFT t 0SFDPOIFDJNFOUPEPTDPOKVOUPTEPTOÞNFSPTJOUFJSPTFSBDJPOBJTQPTJUJWPT EBTGPSNBTEJGFSFOUFTEFPT SFQSFTFOUBSFSFMBDJPOBS CFNDPNPBDPNQSFFOTÍPEBTQSPQSJFEBEFTEBTPQFSBÎÜFTFNDBEBVNEFTTFT DPOKVOUPTFBBQUJEÍPQBSBVTÈMBTFNTJUVBÎÜFTDPODSFUBT t "BQUJEÍPQBSBFGFDUVBSDÈMDVMPTNFOUBMNFOUF DPNPTBMHPSJUNPTEFQBQFMFMÈQJTPVVTBOEPBDBMDVMBEPSB CFNDPNPQBSBEFDJEJSRVBMEPTNÏUPEPTÏBQSPQSJBEPËTJUVBÎÍP t "TFOTJCJMJEBEFQBSBBPSEFNEFHSBOEF[BEPTOÞNFSPT BTTJNDPNPBBQUJEÍPQBSBFTUJNBSWBMPSFTBQSPYJNBEPT EFSFTVMUBEPTEFPQFSBÎÜFTFEFDJEJSBDFSDBEBSB[PBCJMJEBEFEFSFTVMUBEPTPCUJEPTQPSRVBMRVFSQSPDFTTPEF DÈMDVMPPVQPSFTUJNBÎÍP t "BQUJEÍPQBSBUSBCBMIBSDPNWBMPSFTBQSPYJNBEPTEFOÞNFSPTSBDJPOBJTEFNBOFJSBBEFRVBEBBPDPOUFYUP EPQSPCMFNBPVEBTJUVBÎÍPFNFTUVEP t "DBQBDJEBEFQBSBUSBCBMIBSDPNQFSDFOUBHFOTFQBSBDPNQSFFOEFSFVUJMJ[BSBTTVBTEJGFSFOUFTSFQSFTFOUBÎÜFT t "BQUJEÍPQBSBEBSTFOUJEPBQSPCMFNBTOVNÏSJDPTFQBSBSFDPOIFDFSBTPQFSBÎÜFTRVFTÍPOFDFTTÈSJBTËTVB SFTPMVÎÍP BTTJNDPNPQBSBFYQMJDBSPTNÏUPEPTFPSBDJPDÓOJPRVFGPSBNVTBEPT /ÞNFSPEFBVMBTQSFWJTUBT Sugestões metodológicas %BEPRVFPTBMVOPTKÈUSB[FNEPQSJNFJSPDJDMPBOPÎÍPEFGSBDÎÍPDPNPRVPDJFOUFFQBSUFUPEP JOJDJBNPT BVOJEBEFDPNVNBBDUJWJEBEF WJSUVBMNBTDPNVN DPNPPQJRVFOJRVF FNRVFPDPODFJUPEFGSBDÎÍPTVSHF OBUVSBMNFOUF TFHVJEPBQBSFQBTTPQFMBSFQSFTFOUBÎÍPHSÈGJDB "VUJMJ[BÎÍPHFOFSBMJ[BEBEBDBMDVMBEPSBUFNBVNFOUBEPPVTPEBSFQSFTFOUBÎÍPEFDJNBMEPTOÞNFSPTFN EFUSJNFOUPEBSFQSFTFOUBÎÍPFNGSBDÎÍP QFMPRVFOPTQBSFDFFTTFODJBM OFTUBGBTFEBBQSFOEJ[BHFNEPTOÞNFSPT SBDJPOBJT SFDPSSFSBBDUJWJEBEFTRVFSFDSJFNTJUVBÎÜFTEBWJEBEJÈSJBFEPJOUFSFTTFEPTBMVOPT VUJMJ[BOEP BSFQSFTFOUBÎÍPHSÈGJDBTFNQSFRVFQPTTÓWFMPVOFDFTTÈSJP

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Exploração da Pesquisa (página 120)


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6/*%"%& Representação e interpretação de dados

Guiões didácticos

5&." Organização e tratamento de dados Tópicos t 5 BCFMBTEFGSFRVÐODJBTBCTPMVUBTFSFMBUJWBT t (SÈGJDPTEFCBSSBT EFMJOIBFEJBHSBNBTEFDBVMFFGPMIBT t .ÏEJBBSJUNÏUJDB Objectivos específicos t $ POTUSVJSFJOUFSQSFUBSUBCFMBTEFGSFRVÐODJBTBCTPMVUBTFSFMBUJWBT HSÈGJDPTEFCBSSBTFEFMJOIBFEJBHSBNBTEF DBVMFFGPMIBT t $PNQSFFOEFSFEFUFSNJOBSBNÏEJBBSJUNÏUJDBEFVNDPOKVOUPEFEBEPTFJOEJDBSBBEFRVBÎÍPEBTVBVUJMJ[BÎÍP OVNEBEPDPOUFYUP t *OUFSQSFUBSPTSFTVMUBEPTRVFEFDPSSFNEBPSHBOJ[BÎÍPFSFQSFTFOUBÎÍPEFEBEPT FGPSNVMBSDPOKFDUVSBT BQBSUJSEFTTFTSFTVMUBEPT t 6UJMJ[BSJOGPSNBÎÍPFTUBUÓTUJDBQBSBSFTPMWFSQSPCMFNBTFUPNBSEFDJTÜFT Competências t " QSFEJTQPTJÎÍPQBSBSFDPMIFSFPSHBOJ[BSEBEPTSFMBUJWPTBVNBTJUVBÎÍPPVBVNGFOØNFOPFQBSBPTSFQSFTFOUBS EFNPEPTBEFRVBEPT OPNFBEBNFOUFBUSBWÏTEFUBCFMBTFHSÈGJDPTFVUJMJ[BOEPBTOPWBTUFDOPMPHJBT t "BQUJEÍPQBSBMFSFJOUFSQSFUBSUBCFMBTFHSÈGJDPTËMV[EBTTJUVBÎÜFTBRVFEJ[FNSFTQFJUPFQBSBDPNVOJDBSPT SFTVMUBEPTEBTJOUFSQSFUBÎÜFTGFJUBT t "UFOEÐODJBQBSBEBSSFTQPTUBBQSPCMFNBTDPNCBTFOBBOÈMJTFEFEBEPTSFDPMIJEPTFEFFYQFSJÐODJBTQMBOFBEBT QBSBPFGFJUP t "BQUJEÍPQBSBSFBMJ[BSJOWFTUJHBÎÜFTTJNQMFTRVFSFDPSSBNBEBEPTEFOBUVSF[BRVBOUJUBUJWB FOWPMWFOEP BSFDPMIBFBOÈMJTFEFEBEPTFBFMBCPSBÎÍPEFDPODMVTÜFT t 0TFOUJEPDSÓUJDPGBDFBPNPEPDPNPBJOGPSNBÎÍPÏBQSFTFOUBEB t "DPNQSFFOTÍPEBTOPÎÜFTEFGSFRVÐODJBBCTPMVUBFSFMBUJWBFBBQUJEÍPQBSBDBMDVMBSFTUBTGSFRVÐODJBTFN TJUVBÎÜFTTJNQMFT t "DPNQSFFOTÍPEBTOPÎÜFTEFNPEBFEFNÏEJBBSJUNÏUJDB CFNDPNPBBQUJEÍPQBSBBTEFUFSNJOBSFQBSB JOUFSQSFUBSPRVFTJHOJGJDBNFNTJUVBÎÜFTDPODSFUBT t "TFOTJCJMJEBEFQBSBDSJUJDBSBSHVNFOUPTCBTFBEPTFNEBEPTEFOBUVSF[BRVBOUJUBUJWB /ÞNFSPEFBVMBTQSFWJTUBT Sugestões metodológicas "DUJWJEBEFTSFBMJ[BEBTOP1SJNFJSP$JDMPF BDJNBEFUVEP BPCTFSWBÎÍPEPTNFJPTEFDPNVOJDBÎÍP KÈGBNJMJBSJ[BSBN PTBMVOPTDPNHSÈGJDPTFUBCFMBTJNQPSUBBHPSBEFTFOWPMWFSDPNQFUÐODJBTOBÈSFBEBSFDPMIBFPSHBOJ[BÎÍPEFEBEPT /PSNBMNFOUF PTQSPKFDUPTDVSSJDVMBSFTEFUVSNBSFRVFSFN OVNPVOPVUSPBTQFDUP BDUJWJEBEFTEFTUFUJQP 1PEFNPTJOUSPEV[JSFTUBVOJEBEFQFEJOEPBPTBMVOPTRVFUSBHBNSFDPSUFTEFJNQSFOTBDPNHSÈGJDPTBQSPWÈWFM HSBOEFEJWFSTJEBEFEFHSÈGJDPTSFDPMIJEPTEFWFTFSFYQMPSBEBEBOEPQBSUJDVMBSBUFOÎÍPËFTDBMBPVVOJEBEF HSÈGJDBVUJMJ[BEB KÈRVFFTUFÏPQPOUPRVFBQSFTFOUBNBJPSEJGJDVMEBEFQBSBPTBMVOPT"USBOTQBSÐODJBQPEF TFSVUJMJ[BEBOPEFDPSSFSEFTUBBCPSEBHFNJOJDJBM 1BSUJDVMBSNFOUFEPBHSBEPEPTBMVOPTÏBSFBMJ[BÎÍPEFJORVÏSJUPTFOWPMWFOEPUPEBBUVSNB DPNPTVHFSJEPOP USBCBMIPEFQSPKFDUPJODMVÓEPOPNBOVBM %BEBBOFDFTTJEBEFEFUSBCBMIBSPDPODFJUPEFNÏEJBBSJUNÏUJDBFPTFVDÈMDVMP DPOWÏNRVFWÈSJBTRVFTUÜFT UFOIBNSFTQPTUBFNWBMPSFTOVNÏSJDPT JEBEF OÞNFSPEFJSNÍPT RVBOUJEBEFEFDPQPTEFMFJUFPVEFQSBUPTEF TPQBDPOTVNJEPTOVNDFSUPMBQTPEFUFNQP IPSBEFEFJUBS OÞNFSPEPDBMÎBEP BMUVSB QFTP y /PEFDPSSFS EFTUBSFDPMIB PTBMVOPTEFQBSBNQPSWF[FTDPNRVFTUÜFTTFNJOUFSFTTFQBSBUSBUBNFOUP PRVFQPEFTFS BQSPWFJUBEPQBSBVNEFCBUFFNBVMB²PDBTPEFUPEPTPTBMVOPTTFSFNBEFQUPTEPNFTNPDMVCFEFGVUFCPM PV QFMPDPOUSÈSJP IBWFSUBOUBTSFTQPTUBTEJGFSFOUFTFNSFMBÎÍPBPDBOUPSQSFGFSJEPRVBOUPTPTBMVOPT

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PARTE

Materiais de apoio ao trabalho em sala de aula



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91

PARTE

2

UNIDADE 6 Perímetros

Guiões didácticos

5&." Geometria Tópicos t 1 PMÓHPOPTSFHVMBSFTFJSSFHVMBSFT t $ÓSDVMP Objectivos específicos t % FUFSNJOBSPQFSÓNFUSPEFQPMÓHPOPTSFHVMBSFTFJSSFHVMBSFT t %FUFSNJOBSVNWBMPSBQSPYJNBEPEFp t 3FTPMWFSQSPCMFNBTFOWPMWFOEPQFSÓNFUSPTEFQPMÓHPOPTFEPDÓSDVMP Competências t " BQUJEÍPQBSBVUJMJ[BSBWJTVBMJ[BÎÍPFPSBDJPDÓOJPFTQBDJBMOBBOÈMJTFEFTJUVBÎÜFTFOBSFTPMVÎÍPEFQSPCMFNBT FNHFPNFUSJBFFNPVUSBTÈSFBTEBNBUFNÈUJDB t "DPNQSFFOTÍPEPTDPODFJUPTEFDPNQSJNFOUPFQFSÓNFUSP FBBQUJEÍPQBSBVUJMJ[BSDPOIFDJNFOUPTTPCSF FTUFTDPODFJUPTOBSFTPMVÎÍPFGPSNVMBÎÍPEFQSPCMFNBT t "BQUJEÍPQBSBFGFDUVBSNFEJÎÜFTFFTUJNBUJWBTFNTJUVBÎÜFTEJWFSTBT CFNDPNPBDPNQSFFOTÍPEPTJTUFNB JOUFSOBDJPOBMEFVOJEBEFT t "BQUJEÍPQBSBGPSNVMBSBSHVNFOUPTWÈMJEPTSFDPSSFOEPËWJTVBMJ[BÎÍPFBPSBDJPDÓOJPFTQBDJBM FYQMJDJUBOEPPT FNMJOHVBHFNDPSSFOUF t "QSFEJTQPTJÎÍPQBSBJEFOUJGJDBSQSPQSJFEBEFTEFGJHVSBTHFPNÏUSJDBT CFNDPNPQBSBKVTUJGJDBSFDPNVOJDBS PTSBDJPDÓOJPTFGFDUVBEPT t "BQUJEÍPQBSBFGFDUVBSDÈMDVMPTNFOUBMNFOUF DPNPTBMHPSJUNPTEFQBQFMFMÈQJTPVVTBOEPBDBMDVMBEPSB CFNDPNPQBSBEFDJEJSRVBMEPTNÏUPEPTÏBQSPQSJBEPËTJUVBÎÍP t "BQUJEÍPQBSBEBSTFOUJEPBQSPCMFNBTOVNÏSJDPTFQBSBSFDPOIFDFSBTPQFSBÎÜFTRVFTÍPOFDFTTÈSJBTËTVB SFTPMVÎÍP BTTJNDPNPQBSBFYQMJDBSPTNÏUPEPTFPSBDJPDÓOJPRVFGPSBNVTBEPT /ÞNFSPEFBVMBTQSFWJTUBT Sugestões metodológicas &TUBVOJEBEFEFTFOWPMWFDPOIFDJNFOUPTRVFPTBMVOPTKÈEFUÐNSFMBUJWBNFOUFBPQFSÓNFUSP BNQMJBOEPBHPSB FTTFTDPOIFDJNFOUPTBPDÓSDVMP "EFTDPCFSUBFYQFSJNFOUBMEPWBMPSEFƇQPEFTFSSFBMJ[BEBFNBVMBBUSBWÏTEFNFEJÎÜFTFGFDUVBEBTFNPCKFDUPT DJMÓOESJDPT6NBQSJNFJSBBCPSEBHFNEPWBMPSEPQFSÓNFUSPEPDÓSDVMPDPNPVNQPVDPNBJPSRVFPUSJQMPEB NFEJEBEPEJÉNFUSPGBDJMJUBOÍPTØBSFBMJ[BÎÍPEFFTUJNBUJWBTDPNPEFDJTÜFTRVBOUPËSB[PBCJMJEBEFEFDÈMDVMPT NBJTSJHPSPTPT %BEBBOFDFTTJEBEFEFDÈMDVMPTBMHPDPNQMJDBEPTFDFSUBNFOUFNPSPTPTOBSFTPMVÎÍPEFQSPCMFNBTOFTUB VOJEBEF QBSFDFOPTQSFGFSÓWFMBMJHFJSBSBDBSHBEPTNFTNPT SFDPSSFOEPËVUJMJ[BÎÍPEBDBMDVMBEPSB4ÍPNVJUPT PTBMVOPTRVFBJOEBFODPOUSBNEJGJDVMEBEFTOPTBMHPSJUNPTEBNVMUJQMJDBÎÍPFEBEJWJTÍPRVBOEP DPNPOFTUF DBTP VNEPTGBDUPSFTPVPEJWJTPSUÐNUSÐTPVNBJTBMHBSJTNPT0SFDVSTPËDBMDVMBEPSBUPSOBBSFTPMVÎÍPEF QSPCMFNBTNBJTQSPWFJUPTB QPSOÍPFYDMVJSPTBMVOPTDPNEJGJDVMEBEFTOPDÈMDVMPFQPSQFSNJUJSDPODFOUSBS BBDUJWJEBEFFNEPNÓOJPTFDPNQFUÐODJBTNBJTBNQMPTRVFPDÈMDVMP Materiais de apoio ao trabalho em sala de aula "USBOTQBSÐODJB j1FOUBNJOØTx QPEFTFSFYQMPSBEBWFSJGJDBOEPTFUPEBTBTGJHVSBTUÐNPVOÍPJHVBMQFSÓNFUSP QSFQBSBOEPUFSSFOPQBSBBUBSFGBEFJOWFTUJHBÎÍPQSPQPTUBOBGJDIBEFUSBCBMIP"GJDIBEFUSBCBMIPBQSFTFOUB VNBUBSFGBNBJTSPUJOFJSBEFQFSÓNFUSPTFNGJHVSBTEFTFOIBEBTFNRVBESJDVMBEP "MÏNEBTUSBOTQBSÐODJBTFDPNPSFTVNPEBTBQSFOEJ[BHFOTFGFDUVBEBT BQSFTFOUBNPTBTGJDIBTEFBWBMJBÎÍP F DPNEJGFSFOUFTHSBVTEFEJGJDVMEBEF

92


PARTE

6/*%"%& Áreas


5&." Geometria Tópicos t & RVJWBMÐODJBEFGJHVSBTQMBOBT t 6OJEBEFTEFÈSFB t «SFBEPUSJÉOHVMPFEPDÓSDVMP Objectivos específicos t $ PNQSFFOEFS B OPÎÍP EF FRVJWBMÐODJB EF GJHVSBT QMBOBT F EJTUJOHVJS GJHVSBT FRVJWBMFOUFT EF GJHVSBT DPOHSVFOUFT t 3FMBDJPOBSBGØSNVMBEBÈSFBEPUSJÉOHVMPDPNBEPSFDUÉOHVMP t $BMDVMBSBÈSFBEFGJHVSBTQMBOBTTJNQMFT EFDPNQPOÓWFJTFNSFDUÉOHVMPTFFNUSJÉOHVMPTPVQPSNFJPEF FTUJNBUJWBT t %FUFSNJOBSWBMPSFTBQSPYJNBEPTEBÈSFBEFVNDÓSDVMPEFTFOIBEPFNQBQFMRVBESJDVMBEP t 3FTPMWFSQSPCMFNBTRVFFOWPMWBNÈSFBTEPUSJÉOHVMPFEPDÓSDVMP CFNDPNPBEFDPNQPTJÎÍPFDPNQPTJÎÍP EFPVUSBTGJHVSBTQMBOBT Competências t " BQUJEÍPQBSBSFDPOIFDFSFBOBMJTBSQSPQSJFEBEFTEFGJHVSBTHFPNÏUSJDBT OPNFBEBNFOUFSFDPSSFOEP BNBUFSJBJTNBOJQVMÈWFJTFBsoftwareHFPNÏUSJDP t "BQUJEÍPQBSBVUJMJ[BSBWJTVBMJ[BÎÍPFPSBDJPDÓOJPFTQBDJBMOBBOÈMJTFEFTJUVBÎÜFTFOBSFTPMVÎÍPEFQSPCMFNBT FNHFPNFUSJBFFNPVUSBTÈSFBTEBNBUFNÈUJDB t "DPNQSFFOTÍPEPTDPODFJUPTEFDPNQSJNFOUPFQFSÓNFUSP ÈSFBFBNQMJUVEF FBBQUJEÍPQBSBVUJMJ[BS DPOIFDJNFOUPTTPCSFFTUFTDPODFJUPTOBSFTPMVÎÍPFGPSNVMBÎÍPEFQSPCMFNBT t "BQUJEÍPQBSBFGFDUVBSNFEJÎÜFTFFTUJNBUJWBTFNTJUVBÎÜFTEJWFSTBT CFNDPNPBDPNQSFFOTÍPEPTJTUFNB JOUFSOBDJPOBMEFVOJEBEFT t "QSFEJTQPTJÎÍPQBSBQSPDVSBSFFYQMPSBSQBESÜFTHFPNÏUSJDPTFPHPTUPQPSJOWFTUJHBSQSPQSJFEBEFTFSFMBÎÜFT HFPNÏUSJDBT t "BQUJEÍPQBSBGPSNVMBSBSHVNFOUPTWÈMJEPT SFDPSSFOEPËWJTVBMJ[BÎÍPFBPSBDJPDÓOJPFTQBDJBM FYQMJDJUBOEPPT FNMJOHVBHFNDPSSFOUF t "BQUJEÍPQBSBSFTPMWFSFGPSNVMBSQSPCMFNBTRVFFOWPMWBNSFMBÎÜFTFOUSFPTDPODFJUPTEFQFSÓNFUSPFEF ÈSFB FNEJWFSTPTDPOUFYUPT t "BQUJEÍPQBSBDBMDVMBSÈSFBTEFSFDUÉOHVMPT USJÉOHVMPTFDÓSDVMPT SFDPSSFOEPPVOÍPBGØSNVMBT FNDPOUFYUP EFSFTPMVÎÍPEFQSPCMFNBT t "BQUJEÍPQBSBFGFDUVBSDÈMDVMPTNFOUBMNFOUF DPNPTBMHPSJUNPTEFQBQFMFMÈQJTPVVTBOEPBDBMDVMBEPSB CFNDPNPQBSBEFDJEJSRVBMEPTNÏUPEPTÏBQSPQSJBEPËTJUVBÎÍP t "BQUJEÍPQBSBEBSTFOUJEPBQSPCMFNBTOVNÏSJDPTFQBSBSFDPOIFDFSBTPQFSBÎÜFTRVFTÍPOFDFTTÈSJBTËTVB SFTPMVÎÍP BTTJNDPNPQBSBFYQMJDBSPTNÏUPEPTFPSBDJPDÓOJPRVFGPSBNVTBEPT /ÞNFSPEFBVMBTQSFWJTUBT


93

PARTE

Guiões didácticos

2

Sugestões metodológicas Exploração do exercício 5 (página 207) /ÞNFSPEF TFNJDPSPBTDJSDVMBSFT

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94


PARTE


1SPTTFHVJOEPEFTUBNBOFJSBÏQPTTÓWFMMFWBSPTBMVOPTBEFTDPCSJSFNRVFn 5 TBUJTGB[FTUBDPOEJÎÍP $IBNBOEPBJOEBBBUFOÎÍPQBSBPGBDUPEFFYJTUJSOFTUFSFHJTUPWF[FTPn ÏQPTTÓWFMBJOEBSFEV[JSPSFHJTUPQBSB n 1 1 5 0CTFSWBÎÍP &TUBBQSPYJNBÎÍPTVDFTTJWBBPSFHJTUPEBGØSNVMBHFSBMRVFDBSBDUFSJ[BFTUBSFMBÎÍPEFWFSÈTFSVTBEBTFNQSF DPNBDPMBCPSBÎÍPEPTBMVOPTFBTTPDJBEBËVUJMJ[BÎÍPEBMJOHVBHFNOBUVSBM Materiais de apoio ao trabalho em sala de aula 0SFDVSTPBVNKPHPNVJUPEJWVMHBEP P5FUSJT QFSNJUFOPTBCPSEBSEFGPSNBNVJUPTJNQMFTFDPODSFUBPTDPODFJUPT EFGJHVSBTDPOHSVFOUFT GJHVSBTFRVJWBMFOUFT ÈSFBFQFSÓNFUSP "USBOTQBSÐODJB j1FOUBNJOØTx EBVOJEBEF j1FSÓNFUSPTx QPEFTFSVUJMJ[BEBFNDPOUFYUPTFNFMIBOUF CFN DPNPBUSBOTQBSÐODJB j1MBOJGJDBÎÜFTEPDVCPx EBVOJEBEF j4ØMJEPTHFPNÏUSJDPTx RVFQPEFSÈTFSBQSPWFJUBEB DPNPQPOUPEFQBSUJEBQBSBPEFTFOIPEFPVUSPTIFYBNJOØT FYBDUBNFOUFPTRVFOÍPDPSSFTQPOEFNBQMBOJ GJDBÎÜFTEPDVCP 7ÈSJBTBDUJWJEBEFTEFNFEJÎÍPFDPNQBSBÎÍPEFÈSFBTFEFQFSÓNFUSPTQPEFNTFSSFBMJ[BEBTDPNBTUSBOTQBSÐODJBT F6UJMJ[BEBTFNDPOKVOUP QPSTPCSFQPTJÎÍP QFSNJUFNWFSJGJDBSBFRVJWBMÐODJBEFGJHVSBT5BNCÏNBGJDIB EFUSBCBMIPBCPSEBBÈSFBEFGJHVSBTEFTFOIBEBTFNRVBESJDVMBEP "USBOTQBSÐODJB j«SFBTQPSFORVBESBNFOUPx EFWFTFSVUJMJ[BEBDPNBNCBTBTRVBESÓDVMBTBQSFTFOUBEBTOBT USBOTQBSÐODJBT QFSNJUJOEPWFSJGJDBSRVFBRVBESÓDVMBNBJTQFRVFOBDPOEV[BVNBNFEJÎÍPNBJTDPSSFDUB 1BSBPEFTFOWPMWJNFOUPEBTBQSFOEJ[BHFOTEFTUBVOJEBEFÏJNQPSUBOUFRVFPTBMVOPTUFOIBNCFNQSFTFOUFT DPOIFDJNFOUPTEPDJDMPBOUFSJPS OPNFBEBNFOUFBOPÎÍPEFÈSFBFPVTPEBTVOJEBEFTEFÈSFBEPTJTUFNBNÏUSJDP EFDJNBM"USBOTQBSÐODJBSFDPSEBBTNFEJEBTEFDPNQSJNFOUPFEFÈSFB "EFTDPCFSUBFYQFSJNFOUBMEBTÈSFBTEFPVUSPTQPMÓHPOPTFEPUSJÉOHVMP QPSUSBOTGPSNBÎÍPFQPSFORVBESBNFOUP OVNSFDUÉOHVMP QFSNJUFDIFHBSBPFTUBCFMFDJNFOUPEBTGØSNVMBTTFNEJGJDVMEBEF/PDBTPEPDÓSDVMP BEFTDPCFSUB EBGØSNVMBEBTVBÈSFBOÍPTFSÈUÍPJOUVJUJWB NBTQFOTBNPTRVFBDUJWJEBEFTFNRVFPDÓSDVMPÏEFTFOIBEPTPCSF RVBESJDVMBEP UPNBOEPBRVBESÓDVMBDPNPVOJEBEFEFÈSFB QPEFSÍPMFWBSBFTTBEFTDPCFSUB "USBOTQBSÐODJBSFTVNFBTGØSNVMBTFPDPOUFYUPEBEFTDPCFSUBEFTTBTGØSNVMBTQBSBPDÈMDVMPEBÈSFBEP USJÉOHVMPFEPDÓSDVMP *NQPSUBBJOEBRVFPTBMVOPTHBOIFNBMHVNBEFTUSF[BOBVUJMJ[BÎÍPEBTGØSNVMBTFNDPOUFYUPEFTJUVBÎÍP QSPCMFNÈUJDB"USBOTQBSÐODJBQSPQÜFVNBBDUJWJEBEFEFDÈMDVMPEFÈSFBEFVNBGJHVSBDPNQPTUBQFMPTEPJT QSPDFTTPTKÈDPOIFDJEPTEPTBMVOPT QPSEFDPNQPTJÎÍPFQPSFORVBESBNFOUP "TUSBOTQBSÐODJBT FSFTVNFNBTBQSFOEJ[BHFOTFGFDUVBEBTFBTGJDIBTEFBWBMJBÎÍPF DPNEJGFSFOUFT HSBVTEFEJGJDVMEBEF QFSNJUFNUFTUBSFTTBTBQSFOEJ[BHFOT "GJDIBEFUSBCBMIPDPSSFTQPOEFBVNBUBSFGBEFJOWFTUJHBÎÍPFOWPMWFOEPVNBTFRVÐODJBHFPNÏUSJDBFBQSF TFOUBNPTBJOEBBBDUJWJEBEFNBJTJOGPSNBM j1BSUFTJHVBJTBPUPEPx


95

PARTE

Guiões didácticos

2

Guião de transparências Unidade 1 Transparência 1 4ØMJEPTHFPNÏUSJDPT Objectivos: t t t t

JEFOUJGJDBSFEFTDSFWFSTØMJEPTHFPNÏUSJDPT EJTUJOHVJSQPMJFESPTEFTØMJEPTRVFOÍPTÍPQPMJFESPT EJTUJOHVJSQSJTNBTEFQJSÉNJEFT JEFOUJGJDBSPTFMFNFOUPTEPTTØMJEPTHFPNÏUSJDPT

Transparência 2 0TTØMJEPTHFPNÏUSJDPTOBBSRVJUFDUVSB Objectivo: t BOBMJTBS FNBMHVOTNPOVNFOUPT BTSFMBÎÜFTFOUSFBTTVBTGPSNBTFBTEPTTØMJEPTHFPNÏUSJDPTFTUVEBEPT

Transparência 3 1SJTNBFQJSÉNJEFT Objectivos: t W FSJGJDBSDBSBDUFSÓTUJDBTEFBMHVOTQPMJFESPT t BVYJMJBSBDPSSFDÎÍPEPTFYFSDÓDJPTEBTQÈHJOBTFEPNBOVBM

Transparência 4 1MBOJGJDBÎÜFTEFTØMJEPTHFPNÏUSJDPT Objectivo: t FYQMPSBSDBSBDUFSÓTUJDBTFWFSJGJDBSTFNFMIBOÎBTFEJGFSFOÎBTFOUSFBTQMBOJGJDBÎÜFTEFEJGFSFOUFTTØMJEPTHFPNÏUSJDPT

Transparência 5 1MBOJGJDBÎÜFTEPDVCP Objectivos: t N PTUSBSBTQPTTÓWFJTQMBOJGJDBÎÜFTEPDVCP t FYQMPSBSBDPOTUSVÎÍPEFQPMJNJOØTBQSPQØTJUPEFÈSFBTFQFSÓNFUSPT

Transparências 6, 7 e 8 3FTVNPEPTDPOUFÞEPTEJEÈDUJDPT Objectivos: t S FTVNJSBTBQSFOEJ[BHFOTQSPQPTUBT t WFSJGJDBSTFBTBQSFOEJ[BHFOTGPSBNSFBMJ[BEBT 6 — Vê se sabes1ÈHJOBUØQJDPT t 3FDPOIFDFSQSJTNBTFQJSÉNJEFT t *EFOUJGJDBSPTFMFNFOUPTEFVNTØMJEP 7 — Vê se sabes1ÈHJOBTFUØQJDPT t %JTUJOHVJSQPMJFESPTEFPVUSPTTØMJEPTHFPNÏUSJDPT t $MBTTJGJDBSQSJTNBTFQJSÉNJEFT 8 — Vê se sabes1ÈHJOBUØQJDPT t 3FMBÎÜFTFOUSFPTEJGFSFOUFTFMFNFOUPTEFVNTØMJEP t *EFOUJGJDBSQMBOJGJDBÎÜFTEFTØMJEPTFDPOTUSVJSNPEFMPTEFTØMJEPT 96


PARTE

Unidade 2


Transparência 9 *OTUSVNFOUPTEFUSBÎBEPHFPNÏUSJDP Objectivo: t SFBMJ[BSNFEJÎÜFTFUSBÎBEPTTPCSFUSBOTQBSÐODJBT PTJOTUSVNFOUPTEFWFSÍPTFSSFDPSUBEPT

Transparência 10 5SBÎBSMJOIBTQBSBMFMBTFMJOIBTQFSQFOEJDVMBSFT Objectivo: t EFTDSFWFSUPEPTPTQBTTPTOFDFTTÈSJPTQBSBPUSBÎBEPEFMJOIBTQBSBMFMBTFEFMJOIBTQFSQFOEJDVMBSFT

Transparência 11 -JOIBTQBSBMFMBTFMJOIBTDPODPSSFOUFT Objectivos: t G BWPSFDFSBEJTDVTTÍPEBUBSFGBQSPQPTUBOBGJDIBEFUSBCBMIP VOJEBEF t BVYJMJBSBTVBDPSSFDÎÍP

Transparência 12 .FEJSFUSBÎBSÉOHVMPT Objectivo: t EFNPOTUSBSPTQBTTPTOFDFTTÈSJPTQBSBBNFEJÎÍPFUSBÎBEPEFÉOHVMPT

Transparência 13 .FEJSÉOHVMPT Objectivo: t WFSJGJDBSPTDPOIFDJNFOUPTRVBOUPBPQSPDFTTPEFNFEJÎÍPEFÉOHVMPT

Transparência 14 ¬OHVMPTEFMBEPTQBSBMFMPT Objectivos: t D POGFSJSBTBQSFOEJ[BHFOTSFBMJ[BEBT t BVYJMJBSBDPSSFDÎÍPEPFYFSDÓDJPEBQÈHJOBEPNBOVBM

Transparência 15 3FMBÎÜFTFOUSFÉOHVMPT Objectivos: t E JTUJOHVJSFJEFOUJGJDBSEJGFSFOUFTUJQPTEFÉOHVMPT t BVYJMJBSBDPSSFDÎÍPEBGJDIBEFUSBCBMIP VOJEBEF

Transparência 16 $MBTTJGJDBÎÍPEFQPMÓHPOPT Objectivos: t JEFOUJGJDBSFDMBTTJGJDBSQPMÓHPOPT t BVYJMJBSBDPSSFDÎÍPEPFYFSDÓDJPEBQÈHJOBEPNBOVBM


97

PARTE

Guiões didácticos

2

Transparência 17 $MBTTJGJDBÎÍPEFUSJÉOHVMPTRVBOUPBPDPNQSJNFOUPEPT MBEPTFRVBOUPËBNQMJUVEFEPTÉOHVMPT Objectivo: t FYQMPSBSBTDMBTTJGJDBÎÜFTEFUSJÉOHVMPTRVBOUPBPDPNQSJNFOUPEPTMBEPTFRVBOUPËBNQMJUVEFEPTÉOHVMPT

Transparência 18 $POTUSVÎÍPEFUSJÉOHVMPT Objectivo: t

PTUSBSUPEPTPTQBTTPTOFDFTTÈSJPTQBSBBDPOTUSVÎÍPEFUSJÉOHVMPT N EBEPTPTDPNQSJNFOUPTEFEPJTMBEPTFBBNQMJUVEFEPÉOHVMPQPSFMFTGPSNBEP EBEPTPDPNQSJNFOUPEFVNMBEPFBBNQMJUVEFEPTÉOHVMPTBEKBDFOUFTBFTTFMBEP EBEPTPTDPNQSJNFOUPTEPTUSÐTMBEPT

Transparência 19 $MBTTJGJDBÎÍPEFUSJÉOHVMPT Objectivo: t WFSJGJDBSBBQSFOEJ[BHFNEBUFSNJOPMPHJBBQSPQSJBEBFEPTQSPDFTTPTBVUJMJ[BSQBSBDMBTTJGJDBSUSJÉOHVMPT

Transparência 20 ¬OHVMPTFNQPMÓHPOPT Objectivos: t D POGFSJSPTDPOIFDJNFOUPTFTQFDÓGJDPT t BVYJMJBSBDPSSFDÎÍPEPFYFSDÓDJPEBQÈHJOBEPNBOVBM

Transparência 21 &MFNFOUPTEPDÓSDVMPFEBDJSDVOGFSÐODJB Objectivo: t JEFOUJGJDBSPTFMFNFOUPTEPDÓSDVMPFEBDJSDVOGFSÐODJB

Transparências 22, 23 e 24 3FTVNPEPTDPOUFÞEPTEJEÈDUJDPT Objectivos: t S FTVNJSBTBQSFOEJ[BHFOTQSPQPTUBT t WFSJGJDBSTFBTBQSFOEJ[BHFOTGPSBNSFBMJ[BEBT 22 — Vê se sabes1ÈHJOBUØQJDPT t *EFOUJGJDBSSFDUBT TFNJSFDUBTFTFHNFOUPTEFSFDUB t *EFOUJGJDBSFSFQSFTFOUBSSFDUBTDPODPSSFOUFTFSFDUBTQBSBMFMBT 23 — Vê se sabes1ÈHJOBTFUØQJDPT t $MBTTJGJDBSQPMÓHPOPTFJEFOUJGJDBSPTTFVTFMFNFOUPT t .FEJSFUSBÎBSÉOHVMPT 24 — Vê se sabes1ÈHJOBTFUØQJDPT t 3FMBÎÜFTFOUSFÉOHVMPT t 3FDPOIFDFSBTPNBEBTBNQMJUVEFTEPTÉOHVMPTJOUFSOPTFFYUFSOPTEFVNUSJÉOHVMP

98


PARTE

Unidade 3


Transparência 25 $SJWPEF&SBUØTUFOFT Objectivos: t E FUFSNJOBSPTOÞNFSPTQSJNPTJOGFSJPSFTB t BVYJMJBSBDPSSFDÎÍPEPFYFSDÓDJPEBQÈHJOBEPNBOVBM

Transparência 26 .ÞMUJQMPTEFVNOÞNFSP Objectivos: t W FSJGJDBSBBQSFOEJ[BHFNEPTNÞMUJQMPTEFVNOÞNFSP t USFJOBSPDÈMDVMPNFOUBM t BVYJMJBSBDPSSFDÎÍPEBGJDIBEFUSBCBMIP VOJEBEF

Transparência 27 5BCFMBTEBBEJÎÍPFEBNVMUJQMJDBÎÍP Objectivos: t W FSJGJDBSPDPNQPSUBNFOUPEPTSFTVMUBEPTEBBEJÎÍPFEBNVMUJQMJDBÎÍP t BVYJMJBSBDPSSFDÎÍPEBUBCFMBEBBEJÎÍP

Transparências 28, 29 e 30 3FTVNPEPTDPOUFÞEPTEJEÈDUJDPT Objectivos: t S FTVNJSBTBQSFOEJ[BHFOTQSPQPTUBT t WFSJGJDBSTFBTBQSFOEJ[BHFOTGPSBNSFBMJ[BEBT 28 — Vê se sabes1ÈHJOBFUØQJDPT t %JTUJOHVJSOÞNFSPTQSJNPTEFOÞNFSPTDPNQPTUPT t %FDPNQPSVNOÞNFSPFNGBDUPSFTQSJNPT t *OUFSQSFUBSVNBQPUÐODJBEFFYQPFOUFOBUVSBMDPNPVNQSPEVUPEFGBDUPSFTJHVBJTFDBMDVMBSPTFVWBMPS 29 — Vê se sabes1ÈHJOBUØQJDPT t %FUFSNJOBSPNÓOJNPNÞMUJQMPDPNVNEFEPJTOÞNFSPT t %FUFSNJOBSPNÈYJNPEJWJTPSDPNVNEFEPJTOÞNFSPT t 6UJMJ[BSPTDSJUÏSJPTEFEJWJTJCJMJEBEFEFVNOÞNFSP 30 — Vê se sabes1ÈHJOBUØQJDP t 1SPQSJFEBEFTEBTPQFSBÎÜFT

Unidade 4 Transparência 31 'SBDÎÜFT* Objectivos: t E FUFSNJOBSBGSBDÎÍPRVFSFQSFTFOUBBQBSUFQJOUBEBEFDBEBGJHVSB t F NDPOKVOUPDPNBUSBOTQBSÐODJBTFHVJOUF FYQMPSBSGSBDÎÜFTFRVJWBMFOUFT


99

PARTE

Guiões didácticos

2

Transparência 32 'SBDÎÜFT** Objectivos: t E FUFSNJOBSBGSBDÎÍPRVFSFQSFTFOUBBQBSUFQJOUBEBEFDBEBGJHVSB t QPSTPCSFQPTJÎÍPDPNBBOUFSJPS FYQMPSBSBTGSBDÎÜFTFRVJWBMFOUFT

Transparência 33 /ÞNFSPTEFDJNBJT Objectivos: t U SBCBMIBSBDPNQBSBÎÍPFBPSEFOBÎÍPEFOÞNFSPTEFDJNBJT t QSBUJDBSBBEJÎÍPEFOÞNFSPTSFQSFTFOUBEPTOBGPSNBEFDJNBM t BVYJMJBSBDPSSFDÎÍPEBGJDIBEFUSBCBMIP VOJEBEF

Transparência 34 1FSHVOUBTEFBMHJCFJSB Objectivos: t F YQMPSBSVOJEBEFTEFNFEJEB t USBCBMIBSPDPODFJUPEFGSBDÎÍP t BVYJMJBSBDPSSFDÎÍPEBGJDIBEFUSBCBMIP VOJEBEF

Transparência 35 3FDUBOVNÏSJDB Objectivos: t D POTPMJEBSPTDPOIFDJNFOUPTSFMBUJWPTËDPNQBSBÎÍPFËPSEFOBÎÍPEFOÞNFSPTSFQSFTFOUBEPTEFEJGFSFOUFT GPSNBT t JEFOUJGJDBSPTOÞNFSPTSFQSFTFOUBEPTQPSMFUSBT t VUJMJ[BSBTEVBTÞMUJNBTSFDUBT FNCSBODP QBSBBDPODSFUJ[BÎÍPEFBDUJWJEBEFTBEFRVBEBTËUVSNBFËTJUVBÎÍP BFYQMPSBS

Transparência 36 1FSDFOUBHFOT Objectivos: t FYQMPSBSBSFQSFTFOUBÎÍPHSÈGJDBEFQFSDFOUBHFOT t VUJMJ[BSBÞMUJNBUBCFMB FNCSBODP QBSBBDPODSFUJ[BÎÍPEFBDUJWJEBEFTBEFRVBEBTËUVSNBFËTJUVBÎÍP BFYQMPSBS

Transparência 37 /ÞNFSPTSBDJPOBJTTFDUPSFTDJSDVMBSFT Objectivos: t U SBCBMIBSBDPNQBSBÎÍPFBPSEFOBÎÍPEFGSBDÎÜFT t FYQMPSBSBBEJÎÍPFBTVCUSBDÎÍPEFGSBDÎÜFT

Transparência 38 /ÞNFSPTSBDJPOBJTCBSSBTGSBDDJPOBEBT Objectivos: t U SBCBMIBSBDPNQBSBÎÍPFBPSEFOBÎÍPEFGSBDÎÜFT t FYQMPSBSBBEJÎÍPFBTVCUSBDÎÍPEFGSBDÎÜFT

100


PARTE

Transparência 39 5BOHSBN


Objectivo: t BVYJMJBSBDPSSFDÎÍPEBTDPOTUSVÎÜFTJOEJDBEBTOBQÈHJOBEPNBOVBM

Transparências 40, 41 e 42 3FTVNPEPTDPOUFÞEPTEJEÈDUJDPT Objectivos: t S FTVNJSBTBQSFOEJ[BHFOTQSPQPTUBT t WFSJGJDBSTFBTBQSFOEJ[BHFOTGPSBNSFBMJ[BEBT 40 — Vê se sabes1ÈHJOBUØQJDPT t $PNQSFFOEFSFVTBSOÞNFSPTSBDJPOBJTSFQSFTFOUBEPTEFEJGFSFOUFTGPSNBT t *EFOUJGJDBSFEBSFYFNQMPTEFGSBDÎÜFTFRVJWBMFOUFTBVNBEBEBGSBDÎÍP 41 — Vê se sabes1ÈHJOBTFUØQJDPT t &TDSFWFSVNBGSBDÎÍPOBTVBGPSNBJSSFEVUÓWFM t $PNQBSBSFPSEFOBSOÞNFSPTSBDJPOBJT 42 — Vê se sabes1ÈHJOBUØQJDPT t $PNQSFFOEFSBOPÎÍPEFQFSDFOUBHFN t "EJDJPOBSFTVCUSBJSOÞNFSPTSBDJPOBJT

Unidade 5 Transparência 43 (SÈGJDPT Objectivos: t JOUSPEV[JSBTOPWBTBQSFOEJ[BHFOTOPÉNCJUPEBPSHBOJ[BÎÍPFEPUSBUBNFOUPEFEBEPT t SFUJSBSJOGPSNBÎÍPEFNBUFSJBJTEJWFSTPT t JOUFSQSFUBSBJOGPSNBÎÍPSFDPMIJEB

Transparências 44, 45 e 46 3FTVNPEPTDPOUFÞEPTEJEÈDUJDPT Objectivos: t S FTVNJSBTBQSFOEJ[BHFOTQSPQPTUBT t WFSJGJDBSTFBTBQSFOEJ[BHFOTGPSBNSFBMJ[BEBT 44 — Vê se sabes1ÈHJOBUØQJDPT t 3FQSFTFOUBSFJOUFSQSFUBSEBEPTFNUBCFMBTEFGSFRVÐODJBT t $BMDVMBSGSFRVÐODJBTSFMBUJWBT 45 — Vê se sabes1ÈHJOBTFUØQJDPT t 3FQSFTFOUBSFJOUFSQSFUBSEBEPTFNHSÈGJDPTEFCBSSBT t 3FQSFTFOUBSFJOUFSQSFUBSEBEPTFNHSÈGJDPTEFMJOIB 46 — Vê se sabes 1ÈHJOBUØQJDPT t 3FQSFTFOUBSFJOUFSQSFUBSEBEPTFNEJBHSBNBTEFDBVMFFGPMIBT t $PNQSFFOEFSFDBMDVMBSBNÏEJBBSJUNÏUJDBEFVNDPOKVOUPEFEBEPT


101

PARTE

Guiões didácticos

2

Unidade 6 Transparência 47 1FOUBNJOØT Objectivos: t W FSJGJDBSPTNPEFMPTQPTTÓWFJTEFQFOUBNJOØT t SFBMJ[BSBQSFOEJ[BHFOTTPCSFQFSÓNFUSPT t SFMBDJPOBSÈSFBTFQFSÓNFUSP

Transparências 48 e 49 3FTVNPEPTDPOUFÞEPTEJEÈDUJDPT Objectivos: t S FTVNJSBTBQSFOEJ[BHFOTQSPQPTUBT t WFSJGJDBSTFBTBQSFOEJ[BHFOTGPSBNSFBMJ[BEBT 48 — Vê se sabes1ÈHJOBUØQJDPT t $PNQSFFOEFSFVUJMJ[BSBOPÎÍPEFQFSÓNFUSP t $BMDVMBSPQFSÓNFUSPEFVNQPMÓHPOP t $BMDVMBSPQFSÓNFUSPEFVNQPMÓHPOPSFHVMBS 49 — Vê se sabes1ÈHJOBUØQJDPT t $BMDVMBSPQFSÓNFUSPEFVNDÓSDVMP t 3FTPMWFSQSPCMFNBTFOWPMWFOEPQFSÓNFUSPTEFQPMÓHPOPTFEPDÓSDVMP

Unidade 7 Transparência 50 6OJEBEFTEFNFEJEB Objectivos: t D POTPMJEBSBQSFOEJ[BHFOTTPCSFVOJEBEFTEFNFEJEBEFDPNQSJNFOUPFEFÈSFB t QSBUJDBSBFRVJWBMÐODJBFOUSFVOJEBEFTEPTJTUFNBNÏUSJDP

Transparência 51 «SFBT* Objectivos: t E FUFSNJOBSÈSFBTFQFSÓNFUSPT t WFSJGJDBSBFYJTUÐODJBEFGJHVSBTDPOHSVFOUFTPVFRVJWBMFOUFT FNDPOKVOUPDPNBUSBOTQBSÐODJBTFHVJOUF

Transparência 52 «SFBT** Objectivos: t E FUFSNJOBSÈSFBTFQFSÓNFUSPT t WFSJGJDBSBFYJTUÐODJBEFGJHVSBTDPOHSVFOUFTPVFRVJWBMFOUFT FNDPOKVOUPDPNBUSBOTQBSÐODJBBOUFSJPS

Transparência 53 «SFBTQPSFORVBESBNFOUP Objectivos: t E FUFSNJOBS QPSFORVBESBNFOUP BÈSFBEFGJHVSBTJSSFHVMBSFT t WFSJGJDBS FOUSFPTRVBESJDVMBEPTEJTQPOÓWFJTQBSBTPCSFQPTJÎÍP RVBMPRVFQFSNJUFVNBNBJTFYBDUBNFEJÎÍP

102


PARTE

Transparência 54 «SFBEPUSJÉOHVMPFEPDÓSDVMP


Objectivos: t T JOUFUJ[BSBTBQSFOEJ[BHFOTTPCSFÈSFBT t SFDPSEBSBTGØSNVMBTEBÈSFBEPUSJÉOHVMPFEPDÓSDVMP

Transparência 55 «SFBEFGJHVSBTDPNQPTUBT Objectivos: t D BMDVMBSÈSFBTEFGJHVSBTDPNQPTUBT t QSBUJDBSPQSPDFTTPEFDÈMDVMPEFÈSFBEFVNBGJHVSBDPNQPTUBQPSEFDPNQPTJÎÍPFQPSFORVBESBNFOUP

Transparências 56, 57 e 58 3FTVNPEPTDPOUFÞEPTEJEÈDUJDPT Objectivos: t S FTVNJSBTBQSFOEJ[BHFOTQSPQPTUBT t WFSJGJDBSTFBTBQSFOEJ[BHFOTGPSBNSFBMJ[BEBT 56 — Vê se sabes1ÈHJOBUØQJDPT t %JTUJOHVJSGJHVSBTFRVJWBMFOUFTEFGJHVSBTDPOHSVFOUFT t 6UJMJ[BSBTVOJEBEFTEFÈSFB 57 — Vê se sabes1ÈHJOBTFUØQJDPT t 3FMBDJPOBSBÈSFBEPUSJÉOHVMPDPNBEPSFDUÉOHVMP t $BMDVMBSÈSFBTEFGJHVSBTEFDPNQPOÓWFJTFNSFDUÉOHVMPTFFNUSJÉOHVMPT 58 — Vê se sabes1ÈHJOBUØQJDPT t &TUJNBSÈSFBT t $BMDVMBSBÈSFBEPDÓSDVMP

Transparências de carácter geral Objectivo: &TUBTUSBOTQBSÐODJBTQPEFNTFSVUJMJ[BEBTOBTEJGFSFOUFTVOJEBEFT FNEJGFSFOUFTDPOUFYUPT

Transparência 592VBESJDVMBEP DN Transparência 602VBESJDVMBEPDN Transparência 612VBESJDVMBEPDPNEJBHPOBJT Transparência 621POUFBEPRVBESJDVMBEP Transparência 631POUFBEPJTPNÏUSJDP


103

PARTE

Guiões didácticos

2

Guião de esquemas matemáticos Objectivos: t & TUFTNBQBTEFDPODFJUPTTÍPFTRVFNBTDPODFQUVBJTDVKBDPOTUSVÎÍPQPEFTFSWJSUBOUPDPNPNFJPEFFOTJOP FEFBQSFOEJ[BHFNDPNPGPSNBEFBWBMJBÎÍP0TFTRVFNBTBQSFTFOUBEPTOFTUBTFDÎÍPQSFUFOEFNDPOUSJCVJS QBSBBDPOTUSVÎÍPJOEJWJEVBM QPSQBSUFEFDBEBBMVOPFDPNBOFDFTTÈSJBWBMJEBÎÍPEPQSPGFTTPS EPTNBQBT EFDPODFJUPTDPNRVFNBJTTFJEFOUJGJDBSFN t 0 TFTRVFNBTBQSFTFOUBEPTOÍPBCSBOHFNUPEPTPTDPOUFÞEPTQSPHSBNÈUJDPTQSPQPTUPTQBSBPBOPNBT QPEFNDPOTUJUVJSVNBCBTFJNQPSUBOUFEFUSBCBMIPOBTÓOUFTFEPTDPOUFÞEPT t " BOÈMJTFEPTFTRVFNBTQSPQPTUPTQPTTJCJMJUBSÈBDPOTUSVÎÍPEFPVUSPTNBQBTEFDPODFJUPTQBSBDPOUFÞEPT OÍPBCSBOHJEPTOFTUBTFDÎÍP JODVUJOEP OPTBMVOPT VNFTQÓSJUPEFBVUPOPNJB t ®TFNFMIBOÎBEBTUSBOTQBSÐODJBT FTUFTFTRVFNBTNBUFNÈUJDPTFTUÍPSFGFSFODJBEPTOBTMBUFSBJTEPMJWSPEP QSPGFTTPSFTÍPBQSFTFOUBEPTOP.BOVBM*OUFSBDUJWP.VMUJNÏEJBEPQSPGFTTPS

Esquema 14ØMJEPTHFPNÏUSJDPT Esquema 20QMBOPFBTSFDUBT Esquema 30TÉOHVMPT Esquema 4(FPNFUSJB Esquema 5'JHVSBTQMBOBT Esquema 6$JSDVOGFSÐODJBFDÓSDVMP Esquema 7/ÞNFSPTSPNBOPT Esquema 80TJTUFNBEFOVNFSBÎÍPEFDJNBM Esquema 9.ÞMUJQMPTFEJWJTPSFT Esquema 104PNBFTVCUSBDÎÍP Esquema 11.VMUJQMJDBÎÍP Esquema 12%JWJTÍP Esquema 13'SBDÎÜFT Esquema 140QFSBÎÜFTDPNGSBDÎÜFT Esquema 15/ÞNFSPTEFDJNBJT Esquema 160QFSBÎÜFTDPNOÞNFSPTEFDJNBJT Esquema 176TPEBDBMDVMBEPSB Esquema 18(SÈGJDPT Esquema 19&TUBUÓTUJDB Esquema 204JTUFNBNÏUSJDPEFDJNBMDPNQSJNFOUP Esquema 215FNQPFEJOIFJSP Esquema 224VQFSGÓDJF 104


PARTE

2

Soluções do manual do aluno

Guiões didácticos

UNIDADE 1 Sólidos geométricos 3&$03%" 1

PÁG. 7

1.1 1 BDPUFEFCPMBDIBTDJMJOESP %BEPDVCP #PMBFTGFSB 1.2 UFSNPQBDPUFEFCPMBDIBT UFSNPEBEP UFSNPCPMB UFSNPQBDPUFEFCPMBDIBT UFSNPEBEP UFSNPCPMB 1.3 UFSNPPEBEP JTUPÏ PDVCP"CPMBWBJPDVQBSPTUFSNPTNÞMUJQMPTEF y

QFMPRVF FTUBSÈOPUFSNPFBTTJNTFSÈPEBEPBPDVQBSPUFSNP 1.4 OÍPÏNÞMUJQMPEF/BQPTJÎÍPFTUÈVNQBDPUFEFCPMBDIBT

2

2.1 AFD 2.2 &YFNQMPCUFNBQFOBTGBDFT

3

3.1 " +PBOBEFWFSÈDPNFSVNBEBTRVBUSPGBUJBTEPTDBOUPTEBDBNBEBTVQFSJPSEPCPMP QFMPRVFUFSÈ VNNÈYJNPEFGBUJBTOFTTBTDPOEJÎÜFT 3.2 /ÍP4ØQPEFSÈTBUJTGB[FSVNDPOWJEBEP RVFEFWFSÈDPNFSBGBUJBDFOUSBMEBTFHVOEBDBNBEBEP CPMP

13"5*$"

PÁGS. 9 e 10

1

0QPMÓHPOPEBCBTFEFVNBQJSÉNJEFDPNBSFTUBTÏVNQFOUÈHPOP UFNWÏSUJDFTFGBDFT

2

1JSÉNJEFPDUPHPOBM

3

0OÞNFSPEFMBEPTEPQPMÓHPOPEBCBTFÏNFUBEFEPOÞNFSPEFBSFTUBTEBQJSÉNJEF

4

4JN0OÞNFSPEFWÏSUJDFTEFVNBQJSÉNJEFÏJHVBMBPOÞNFSPEFMBEPTEPQPMÓHPOPEBCBTFNBJTVN

5

PIRÂMIDES

PIRÂMIDE B

PIRÂMIDE D

PIRÂMIDE A

PIRÂMIDE C

/ÞNFSPEFGBDFT

5

7

4

6

/ÞNFSPEFGBDFTMBUFSBJT

4

3

5

/ÞNFSPEFBSFTUBT

8

12

6

10

/ÞNFSPEFWÏSUJDFT

5

7

4

/ÞNFSPEFMBEPTEPQPMÓHPOPEBCBTF

4

6

3

5

Quadrado

Hexágono

Triângulo

Pentágono

1PMÓHPOPEBCBTF


105

PARTE

5.1 a) /VNBQJSÉNJEF POÞNFSPEFGBDFTÏJHVBMBPOÞNFSPEFWÏSUJDFT b) /VNBQJSÉNJEF POÞNFSPEFGBDFTMBUFSBJTÏJHVBMBPOÞNFSPEFWÏSUJDFTNFOPTVN c) 0OÞNFSPEFBSFTUBTÏJHVBMBPEPCSPEPOÞNFSPEFMBEPTEPQPMÓHPOPEBCBTFFPOÞNFSP EFWÏSUJDFTÏJHVBMBPOÞNFSPEFMBEPTEPQPMÓHPOPEBCBTFNBJTVN

Guiões didácticos

2

5.2 /ÍP0OÞNFSPEFBSFTUBTÏTFNQSFQBS WJTUPTFSPEPCSPEPOÞNFSPEFGBDFTMBUFSBJT 5.3 2VBUSP QPSRVFUFSÈVNUSJÉOHVMPOBCBTF 6

a) &YFNQMP"NCBTUÐNVNBTØCBTFb) &YFNQMP5ÐNVNOÞNFSPEJGFSFOUFEFGBDFTMBUFSBJT

7

0BMVOPBFTUÈBEJ[FSBWFSEBEF QPSRVFOVNBQJSÉNJEFPOÞNFSPEFBSFTUBTÏPEPCSPEPOÞNFSPEF GBDFTMBUFSBJT

13"5*$"

PÁG. 12

1

PRISMAS

/ÞNFSPEFGBDFT

6

7

8

/ÞNFSPEFCBTFT

2

2

2

2

/ÞNFSPEFGBDFTMBUFSBJT

3

4

5

6

/ÞNFSPEFBSFTUBT

9

12

18

/ÞNFSPEFWÏSUJDFT

6

8

10

12

/ÞNFSPEFMBEPTEPQPMÓHPOPEBCBTF

3

4

5

Triângulo

Rectângulo

Pentágono

Hexágono

1PMÓHPOPEBCBTF

1.1 5PEPTPTQSJTNBTUÐNEVBTCBTFT 1.2 0QSJNFJSPQSJTNB 1.3 a) 0OÞNFSPEFWÏSUJDFTÏPEPCSPEPOÞNFSPEFMBEPTEPQPMÓHPOPEBCBTF b) 0OÞNFSPEFGBDFTMBUFSBJTÏBUFSÎBQBSUFEPOÞNFSPEFBSFTUBT 1.4 &YFNQMPT 0OÞNFSPEFBSFTUBTEFVNQSJTNBÏPUSJQMPEPOÞNFSPEFMBEPTEPQPMÓHPOPEBCBTFEFTTFQSJTNB 0OÞNFSPEFMBEPTEPQPMÓHPOPEBCBTFEFVNQSJTNBÏNFUBEFEPOÞNFSPEFWÏSUJDFTEFTTFQSJTNB 0OÞNFSPEFGBDFTMBUFSBJTEFVNQSJTNBÏNFUBEFEPOÞNFSPEFWÏSUJDFTEFTTFQSJTNB 2

a) &YFNQMP"NCPTUÐNEVBTCBTFT b) &YFNQMP5ÐNVNOÞNFSPEJGFSFOUFEFGBDFTMBUFSBJT

3

0BMVOPAFTUÈBEJ[FSBWFSEBEF4FOEPVNQSJTNBDPNWÏSUJDFT FOUÍPPQPMÓHPOPEBCBTFUFSÈ MBEPTFPOÞNFSPEFBSFTUBTUFSÈRVFTFSPUSJQMPEPOÞNFSPEFMBEPTEPQPMÓHPOPEBCBTF PVTFKB

13"5*$"

106

PÁGS. 13 e 14

1

a) B C F GFH

2

0DPOFUFNVNBCBTFDJSDVMBSFVNWÏSUJDFPQPTUPËCBTF PDJMJOESPUFNEVBTCBTFTDJSDVMBSFTFOÍPUFN OFOIVNWÏSUJDF

b) A D EFI


c) B CFH

d) FFG

PARTE

/PQSJNFJSPDPOKVOUP PFMFNFOUPFTUSBOIPÏPBQPSRVFÏPÞOJDPQPMJFESP/PTFHVOEPDPOKVOUP PFMFNFOUPFTUSBOIPÏPBQPSRVFÏPÞOJDPRVFOÍPÏQPMJFESP/PUFSDFJSPDPOKVOUP PFMFNFOUP FTUSBOIPÏPDQPSRVFÏBÞOJDBQJSÉNJEF

4

4.1

/EFGBDFTf

8

/EFWÏSUJDFTv

12

f1v

11

20

10

12

/EFBSFTUBTa

9

18

8

10


3

4.2 &NRVBMRVFSQPMJFESP BTPNBEPOÞNFSPEFGBDFTDPNPOÞNFSPEFWÏSUJDFTÏJHVBMBPOÞNFSPEF BSFTUBTNBJT 4.3 f 1 v 5 a 1 2 5

6

SÓLIDOS GEOMÉTRICOS

N.º DE FACES f

N.º DE VÉRTICES

f1v

N.º DE ARESTAS

f1v5a12

$VCP

8

14

12

14 5 12 1 2

1JSÉNJEFUSJBOHVMBS

4

4

8

8 51 2

6.1 0TØMJEPUFSÈBSFTUBT 6.2 0TØMJEPUFNWÏSUJDFT 6.3 0TØMJEPUFNGBDFT 6.4 "QMJDPBJHVBMEBEFEF&VMFS"EJDJPOPBPOÞNFSPEFBSFTUBTFWFSJGJDPRVBOUPGBMUBBEJDJPOBSBP OÞNFSPEFGBDFTQBSBRVFBJHVBMEBEFTFWFSJGJRVF

13"5*$"

PÁG. 15

1

a) b) c) d) e) f) g)

2

"TCBTFTEFTTFQSJTNBUÐNBGPSNBUSJBOHVMBS1SJTNBUSJBOHVMBS

3

3.1 1JSÉNJEFQFOUBHPOBM

1JSÉNJEFUSJBOHVMBS4ØMJEPF 1JSÉNJEFRVBESBOHVMBS4ØMJEPC 1JSÉNJEFIFYBHPOBM4ØMJEPG 1SJTNBUSJBOHVMBS4ØMJEPD 1BSBMFMFQÓQFEPSFDUBOHVMBS4ØMJEPB 1SJTNBRVBESBOHVMBS4ØMJEPE 1SJTNBQFOUBHPOBM4ØMJEPA

3.2 &TTBQJSÉNJEFUFSÈGBDFTMBUFSBJT


107

PARTE

Guiões didácticos

2

13"5*$"

PÁG. 17

1

A1JSÉNJEFUSJBOHVMBSQBMIJOIBT B1BSBMFMFQÓQFEPSFDUBOHVMBSQBMIJOIBT C1SJTNBIFYBHPOBMQBMIJOIBT

2

A$PNQBMIJOIBTJHVBJTQPEFTFSDPOTUSVÓEPVNDVCP B$PNQBMIJOIBTHSBOEFTFQBMIJOIBTQFRVFOBTQPEFSÈDPOTUSVJSTFVNBQJSÉNJEFIFQUBHPOBM

3

3.1 4 VHFTUÍPEFSFTQPTUB EJGFSFOUFEBRVFDPOTUBOPMJWSPEPQSPGFTTPS (BTUBOEPUPEBTBTQBMIJOIBT B*OÐTQPEFSÈDPOTUSVJSVNQSJTNBIFYBHPOBM1PEFSÈDPOTUSVJS UBNCÏNVNDVCPPVRVBMRVFSUJQPEFQBSBMFMFQÓQFEP HBTUBOEPQBMIJOIBTFDPNBTSFTUBOUFT QPEFSÈDPOTUSVJSVNBQJSÉNJEFUSJBOHVMBS 3.2 4VHFTUÍPEFSFTQPTUB EJGFSFOUFEBRVFDPOTUBOPMJWSPEPQSPGFTTPS /PDBTPEFB*OÐTDPOTUSVJSVNQSJTNBIFYBHPOBMQSFDJTBSÈEFCPMBTEFQMBTUJDJOB/PDBTPEFFMB DPOTUSVJSPDVCPQBSBMFMFQÓQFEPFBQJSÉNJEFUSJBOHVMBS QSFDJTBSÈEFCPMBTEFQMBTUJDJOBQBSB PDVCPQBSBMFMFQÓQFEPFRVBUSPCPMBTEFQMBTUJDJOBQBSBBQJSÉNJEFUSJBOHVMBS

4

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PÁG. 52

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PÁG. 54

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PÁG. 54

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PÁG. 59

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7,5 cm

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F

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B

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5 cm

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PÁGS. 70 e 71

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22

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29

30

31

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48

49

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56

57

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59

60

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3.1 "NPEBÏKPHBSGVUFCPM 3.2 1SBUJDBNBOEFCPMBMVOPT 3.3 &YFNQMP/BUVSNBEP"OUØOJPTØVNBMVOPQSBUJDBWPMFJCPM

13"5*$" 1

PÁG. 145

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NÚMERO DE LIVROS LIDOS

FREQUÊNCIA ABSOLUTA

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1

7

4

9

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INSTRUMENTOS MUSICAIS

PÁG. 147

ESTAÇÃO PREFERIDA


FREQUÊNCIA RELATIVA (SEM ARREDONDAMENTO)

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HORAS DEDICADAS A ACTIVIDADES DESPORTIVAS


FREQUÊNCIA RELATIVA

0

8

2

7

4

4

1

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145

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Guiões didácticos

2

13"5*$" 1

PÁG. 149

1.1 QFTTPBT 1.2 &YFNQMPUBSUBSVHBTFQFJYFT 1.3 &YFNQMP Frequência absoluta

Animais domésticos preferidos 14 12 10 8 6 4 2 0

Cão

Gato

Hámster Aves de gaiola Animais

Outros

2

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3

&YFNQMP

Frequência absoluta

Modalidades desportivas dos alunos do 5.º ano 50 45 40 35 30 25 20 15 10 5 0 Futebol

Natação

Patinagem

Voleibol

Modalidades desportivas

13"5*$" 1

PÁG. 151

1.1 &YFNQMP

Euros

Poupanças da Filipa 16 14 12 10 8 6 4 2 0

Segunda-feira Terça-feira Quarta-feira Quinta-feira Sexta-feira

Sábado

Domingo

Dias da semana

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146


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4

4

1

2

3

3

3


147

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13"5*$" 1

PÁGS. 155-157

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NÚMERO DE GOLOS

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148


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1 2 5

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7

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1

2

2

7

1

4

8

1

2

2

4

7

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4

4


149

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7.2 &YFNQMP


AMIGOS

IDAS AO CINEMA

1

2

2

7

1

4

4

8

1

2

1

2

4

2

7

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2

4

12

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1.1

PÁGS. 160-163

SEMANADA


0

2

4

1

4

4

8

10

2

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Destino da semanada 10 9 8 7 6 5 4 3 2 1 0 Compras no bufete da escola

150

Compra de cartas de jogar


Compra de revistas

Poupança

PARTE

2

2.1 DESTINO PREFERIDO — 5.º D


DESTINO PREFERIDO — 5.º C


'VOEBÎÍPEF4FSSBMWFT

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1BWJMIÍPEP$POIFDJNFOUP

1BWJMIÍPEP$POIFDJNFOUP

4FSSBEB&TUSFMB

4FSSBEB&TUSFMB

Guiões didácticos

'VOEBÎÍPEF4FSSBMWFT

2

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4

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Temperaturas

Temperaturas registadas na última semana de Fevereiro 16 14 12 10 8 6 4 2 0 Segunda-feira Terça-feira Quarta-feira Quinta-feira Sexta-feira Dias da semana

6

Sábado

Domingo

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NÚMERO DE VOLTAS


4

7

8

6.3 "NPEBÏEBSWPMUBT 6.4 WPMUBT


151

PARTE

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6.6 &YFNQMP Frequência absoluta

Número de voltas dadas à escola do Luís 7 6 5 4 3 2 1 0

5 voltas

4 voltas

6 voltas

7 voltas

8 voltas

Número de voltas

7

7.1

IDADES


9

3

10

7

11

12

4

13

2

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9

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152


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ESTAÇÕES PREFERIDAS



3ÈEJP"

4

3ÈEJP#

3ÈEJP$

2

3ÈEJP%

1

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1

2

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12 10 8 6 4 2 0

Futebol

Natação

Patinagem

Surf

Desportos

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3.1 &YFNQMP Salário da Filipa 200 Montante

160 120 80 40 0 1.ª semana

2.ª semana 3.ª semana Semanas

4.ª semana

3.2 û 4

4.1 &OUSFFDN 4.2


153

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4.3

ALTURA/METROS


B

4

B

8

B

5

B

3

Guiões didácticos

2

4.4 "NBJPSGSFRVÐODJBSFHJTUBTFFOUSF F N 4.5 &YFNQMP5SÐTBMVOPTEBUVSNBUÐNEFBMUVSBWBMPSFTDPNQSFFOEJEPTFOUSF NF N 5

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PÁG. 171

1

2

A

B

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t

t

N

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t

t

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t

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t

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t

t

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3

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4

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13"5*$"

PÁG. 172

1

1FSÓNFUSPEPMBHP→ N 1FSÓNFUSPEBDFSDB→N

2

0MBEPNBJTQFRVFOPNFEFDFOUÓNFUSPT

13"5*$" 1

PÁGS. 174 e 175

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154

2 cm


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2

2

Guiões didácticos

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4

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5

NFUSPT

6

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7

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8

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9

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c) N5 690DN

e) N5 3,45IN

b) DN5 0,25N

d) EN5 700NN

f) LN5 4000N

13"5*$"

PÁGS. 177 e 178

1

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3

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4 Raio = 1,5


155

PARTE

5

Guiões didácticos

2

3BJP

%JÉNFUSP

1FSÓNFUSP

DN

4,2 cm

13,188 cm

3,9 dm

EN

24,492 dm

7 cm

14 cm

DN

N

0,8 m

2,512 m

6

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7

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8

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9

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PESQUISA

PÁG. 178

&N FN'SBOÎB GPJFTDPMIJEBVNBDPNJTTÍPEFDJODPNBUFNÈUJDPTDVKBUBSFGBFSBEFGJOJSVNTJTUFNB QBESPOJ[BEPQBSBBNFEJÎÍPEFDPNQSJNFOUPT &TUBDPNJTTÍPEFDJEJVRVFBQSJODJQBMVOJEBEFEFTUFTJTUFNBTFDIBNBSJBNFUSPFRVFDPSSFTQPOEFSJBË EÏDJNBNJMJPOÏTJNBQBSUFEBEJTUÉODJBRVFWBJEP&RVBEPSBP1ØMP/PSUF .BJTUBSEF FN QBSBFWJUBSFSSPTEFNFEJEB GPJDPOTUSVÓEBVNBCBSSBEFNFUBM PNFUSPQBESÍP RVFBJOEB QPEFTFSBQSFDJBEBOVNNVTFVOB4VÓÎB 'JOBMNFOUF DPNPBWBOÎPEBDJÐODJBFEBUFDOPMPHJB FNDIFHPVTFBVNBNFMIPSEFGJOJÎÍPEPNFUSP CBTFBEBOBWFMPDJEBEFDPNRVFBMV[TFQSPQBHBOPWÈDVP "KBSEBFPQÏTÍPNFEJEBTBJOEBVTBEBTOP3FJOP6OJEP"KBSEBFRVJWBMFB NFUSPTFPQÏB DFOUÓNFUSPT

13"5*$"026&"13&/%&45&

156

PÁGS. 180-183

1

&YFNQMPQBSBVNBNFTBEF NEFDPNQSJNFOUPFVNQBMNPEFDNBNFTBNFEJSÈPJUPQBMNPT "TEJGFSFOÎBTFODPOUSBEBTUÐNBWFSDPNPGBDUPEFPQBMNPTFSVNBNFEJEBEPDPSQPF QPSUBOUP WBSJÈWFM

2

0QFSÓNFUSPEBGJHVSBAÏEFVOJEBEFT 0QFSÓNFUSPEBGJHVSBBÏEFVOJEBEFT 0QFSÓNFUSPEBGJHVSBCÏEFVOJEBEFT

3

&YFNQMPT

4

0QFSÓNFUSPEBGJHVSBAÏEF DN 0QFSÓNFUSPEBGJHVSBBÏEFDN

5

0PVUSPMBEPEBUPBMIBNFEJSÈ NFUSPT


PARTE

0RVBSUPEP1FESPUFNEFMBEP NFUSPT

7

7.1 'JHVSBA →"NFEJEBEBFTRVFSEB RVFOÍPÏJOEJDBEB PCUÏNTFUSBOTQPOEPFEFQPJTBEJDJPOBOEP PTNFPTNEPMBEPEJSFJUP0CUÐNTFBTTJNNQBSBBNFEJEBFNGBMUB "NFEJEBOBQBSUFTVQFSJPSRVFFTUÈFNGBMUBPCUÏNTFTVCUSBJOEPPTNBPTN EBCBTF0CUÐNTFBTTJNNQBSBBNFEJEBFNGBMUB


6

'JHVSBB →"NFEJEBRVFOÍPÏJOEJDBEBPCUÏNTFUSBOTQPOEPFEFQPJTBEJDJPOBOEPPT DN PTDNFPT DNEPTMBEPTEFCBJYP0CUÐNTFBTTJNDNQBSBBNFEJEBFNGBMUB

7.2 0QFSÓNFUSPEBGJHVSBAÏEFN O QFSÓNFUSPEBGJHVSBBÏEFDN 8

$BEBVNEPTPVUSPTMBEPTNFEFDFOUÓNFUSPT

9

3BJP5DN

3 cm

"DJSDVOGFSÐODJBUFN DNEFQFSÓNFUSP

10 "$SJTUJOBEFWFSÈDPNQSBSDNEFGJUBWFSEF 11 "TNFEJEBTQPTTÓWFJTTÍPDNFDN 12 "TFHVOEBGJHVSBUFNVNQFSÓNFUSPNBJPSQPJT FNCPSBPTEPJTTFNJDÓSDVMPTUFOIBNPNFTNPQFSÓNFUSP RVFPDÓSDVMPEBQSJNFJSBGJHVSB BJOEBUFNPTEFDPOTJEFSBSPTEJÉNFUSPTUSBÎBEPT 13 "UPBMIBUFN NEFEJÉNFUSP 14 "GJHVSBUFN NNEFQFSÓNFUSP 15

RAIO DA BASE/CM

DIÂMETRO DA BASE/CM

ALTURA/CM

PERÍMETRO DA BASE/CM

$JMJOESPA

6

7

18,84

$JMJOESPB

3,5

7

2

21,98

$JMJOESPC

2,5

5

16 a) N

b) N

17 N 18 "QJTDJOBEP&EVBSEPUFN NEFQFSÓNFUSP 19 ")FMFOBUFSÈEFDPNQSBS NEFSFOEB 20 0QFSÓNFUSPEBGJHVSBAÏEF DN 0QFSÓNFUSPEBGJHVSBBÏEF DN 21 ""OBCFMBQFSDPSSFSÈVNBEJTUÉODJBTVQFSJPSBNFUSPT %&4"'*04 t .BUFNÈUJDB t oBOP t .BUFSJBMGPUPDPQJÈWFMª4BOUJMMBOB$POTUÉODJB

157

PARTE

2

22 "[POBBUSBWÏTEBRVBMPDÍPTFQPEFEFTMPDBSUFN NEFQFSÓNFUSP

Guiões didácticos

23 23.1 UFSNP5VOJEBEFT UFSNP5VOJEBEFT UFSNP5VOJEBEFT UFSNP5VOJEBEFT 23.2

UFSNP5VOJEBEFT

23.3 UFSNP5VOJEBEFT &YFNQMP 5FSNP

1

2

4

9

1FSÓNFUSP

8

12

20

24

40

234

3 4

434

3 4

3 4

10 3 4

$ÈMDVMP

23.4 /ÍPFYJTUFQPSRVF TFDBEBRVBESBEPUFNVOJEBEFTEFMBEP PQFSÓNFUSPEFRVBMRVFSUFSNPTFSÈ TFNQSFVNOÞNFSPQBS 23.5 "EJGFSFOÎBFOUSFPQFSÓNFUSPEFEPJTUFSNPTDPOTFDVUJWPTÏTFNQSFJHVBMBFRVBMRVFSOÞNFSP ÏTFNQSFNÞMUJQMPEFTJQSØQSJP

"7"-*"026&"13&/%&45&

PÁGS. 184 e 185

1

0QFSÓNFUSPEBGJHVSBAÏEF DN 0QFSÓNFUSPEBGJHVSBBÏEF N

2

DN

3

DN

4

N

5

C DN

6

a) N

7

a) 0RVBESBEPUFNDNEFQFSÓNFUSP b) 0DÓSDVMPUFN DNEFQFSÓNFUSP

8

a) N

9

0BUMFUBQFSDPSSFSÈ LN

b) N

b) N

10 0+PÍPOFDFTTJUBSÈEFSPTFJSBT 11 "[POBQBWJNFOUBEBUFN NEFQFSÓNFUSP 12 $BEBSPEBEBCJDJDMFUBEFVBQSPYJNBEBNFOUFWPMUBT 13 0QFSÓNFUSPEBGJHVSBAÏEF DN 0QFSÓNFUSPEBGJHVSBBÏEF DN

158


PARTE

UNIDADE 7 Áreas 1

Guiões didácticos

3&$03%"

2

PÁG. 191

A

B

3

t

3 9

t

3

t

3

t

2

AA 5 AB 5 AC 5 4

3

3.1 &YFNQMP

t

t

t

t

t

11 900

t

A B

3.2 &YFNQMP

R S

13"5*$" 1

PÁG. 193

1.1 .BJPSÈSFB→ C .FOPSÈSFB→ I 1.2 AFD 1.3 &YFNQMPAFB 1.4 5PEBTUÐNQFMPNFOPTVNÉOHVMPSFDUP FYDFQUPBGJHVSBI 1.5 I

2

2.1 AA 5 42 AB 5 2.2 &YFNQMP/BGJHVSBA EJWJEJSBGJHVSBFNQBSUFT DPOUBSPTRVBESBEPTFEFQPJTNVMUJQMJDBS PSFTVMUBEPQPS VNBWF[RVFBVOJEBEFDPOTJEFSBEBÏNFUBEFEFVNRVBESBEP /BGJHVSBB DPOUBSQSJNFJSPPTRVBESBEPTOPSFDUÉOHVMPWFSUJDBM EFQPJTDPOUBSPTRVBESBEPTOVN EPTUSJÉOHVMPT NVMUJQMJDBSQPSRVBUSP WJTUPTFSFNUSJÉOHVMPT FFOUÍPBEJDJPOBSBPPCUJEPOP SFDUÉOHVMP1PSGJN NVMUJQMJDBSQPS WJTUPRVFBVOJEBEFDPOTJEFSBEBÏNFUBEFEFVNRVBESBEP 2.3 3FTQPTUBMJWSF %&4"'*04 t .BUFNÈUJDB t oBOP t .BUFSJBMGPUPDPQJÈWFMª4BOUJMMBOB$POTUÉODJB

159

PARTE

3

3.1

Guiões didácticos

2

3.2 5PEBTBTGJHVSBTUÐNBNFTNBÈSFBNBTUÐNGPSNBTEJGFSFOUFT OÍPTÍPDPOHSVFOUFT 4

4.1 0QFSÓNFUSPEFEVBTGJHVSBTDPOHSVFOUFTÏJHVBM 4.2 % VBTGJHVSBTFRVJWBMFOUFTOÍPUÐNEFUFSOFDFTTBSJBNFOUFPNFTNPQFSÓNFUSP OFNEJGFSFOUFT QFSÓNFUSPT

13"5*$"

PÁG. 195

1

&YFNQMP

2

"QFOBT D QPEFDPSSFTQPOEFSËÈSFBEFVNRVBESBEP

3

AA 5DN2 AB 5 N2

4

0RVBSUPEP+PBRVJNUFNN2EFÈSFB

5

&YFNQMP

1,5 cm 2 cm

4 cm 3 cm

6

N2

7

8

160

".BSJBUFSÈPRVBSUPNBJTFTQBÎPTP QPJTUFSÈN2EFÈSFB FORVBOUPPEP+PTÏUFSÈN2EFÈSFB


PARTE

13"5*$" 1

N2

«SFBEFVNBGPMIB"

DN2

«SFBEFVNDBNQPEFBOEFCPM

N2

«SFBEB&VSPQB

Guiões didácticos

«SFBEFVNBQPSUB

«SFBEPEJTUSJUPEF$PJNCSB

2

2

PÁG. 197

LN2 LN2

2.1 0/VOPOÍPUFNSB[ÍP 2.2 "RVJOUBEPBWÙEP/VOPÏWF[FTNBJPSEPRVFBEPTQBJTEP.JHVFM

3

3.1 NJMIÜFTEFIFDUBSFT 3.2 BOPT

4

a) b) c) d) e)

N2 5 50 000DN2 IN2 5 52 000N2 DN2 5 0,75N2 N2 5 0,012LN2 IN2 5 8EBN2

PESQUISA

f) g) h) i) j)

DN2 5 8,05EN2 LN2 5 7 800 000N2 EBN2 5 8,4IN2 NN2 5 1EN2 IN2 5 64 000 000EN2

PÁG. 198

t «SFBEPSFDJOUPPOEFTFQSBUJDBGVUFCPMTFGPSGVUFCPMEFTÍPN2 TFGPSGVUFCPMEF QPEFNWBSJBS BTEJNFOTÜFTEPTDBNQPT JOEPEFBNEFMBSHVSBFBNEFDPNQSJNFOUP t «SFBEPSFDJOUPPOEFTFQSBUJDBBOEFCPMN2 t «SFBEPSFDJOUPPOEFTFQSBUJDBCBTRVFUFCPMN2

13"5*$"

PÁG. 199

1

a) "NCPTUÐNBNFTNBÈSFB

2

2.1

b) 0TSFDUÉOHVMPTUÐNEJGFSFOUFTQFSÓNFUSPT

2.2 0USBCBMIPEFWFSÈTFSJHVBMBPEPTDPMFHBT QPJTOÍPFYJTUFNPVUSBTIJQØUFTFT DPNBTDPOEJÎÜFTEBEBT 3

&YFNQMP


161

PARTE

Guiões didácticos

2

4

4.1 0CBMDÍPEBTTBMBEBTUFN NEFQFSÓNFUSP 4.2 "[POBPOEFJSÈTFSDPMPDBEPTPBMIPUFSÈ N2EFÈSFB

5

a)

PERÍMETRO

DN

b)

ÁREA

DN2

6

COMPRIMENTO

LARGURA

DN

DN

DN

DN

DN

DN

DN

DN

DN

DN

DN

DN

DN

DN

DN

DN

DN

DN

COMPRIMENTO

LARGURA

DN

DN

DN

DN

DN

DN

DN

DN

"ÈSFBÏEFN2 %BEPRVFDBEBÈSFBSFDUBOHVMBSUFNNEFQFSÓNFUSP PTFVDPNQSJNFOUPFBTVBMBSHVSB FNDPOKVOUP TÍPEFN

13"5*$"

PÁG. 201

1

a)

2

a) E

b) c) 9 b)

C

c)

J

M

D K H

162

3

a) EN2

4

DN2

5

&YFNQMP

b) N2


I

c) DN2

L

PARTE

13"5*$"

PÁG. 203

"+PBOBUFSÈEJUPRVFFTUFRVBESJMÈUFSPÏFRVJWBMFOUFBVNSFDUÉOHVMP FQBSBPQSPWBSNVEPVBQBSUFFN GPSNBEFUSJÉOHVMPEBFTRVFSEBQBSBBEJSFJUB

2

AA 5DN2 AB 5DN2

3

"QBSUFQBWJNFOUBEBUFSÈ N2EFÈSFB

4

&YFNQMP

5

AA 5DN2 AB 5N2

13"5*$"

PÁG. 205

1

3FTQPTUBMJWSF

2

b) $FSDBEFDN2

3

$FSDBEFDN2

4

$FSDBEFDN2

13"5*$" 1

2

3


1

PÁG. 207

AA 5 DN2 AB 5 N2 AC 5 EN2 AD 5 DN2 MOEDAS

DIÂMETRO APROXIMADO

PERÍMETRO

ÁREA

DÐOUJNP

50,24 mm

200,96 mm2

DÐOUJNPT

20

62,8 mm

314 mm2

FVSP

72,22 mm

415,265 mm2

3.1 û 3.2 û

4

AA 5 N2 AB 5 DN2

5

5.1 A 5 DN2 5.2 P 5 DN 5.3 $PNQSJNFOUP5DN 5.4 4FUFTFNJDPSPBTDJSDVMBSFT 5.5 3OÞNFSPEFTFNJDPSPBT1 1 31 1 51 1 5DN %&4"'*04 t .BUFNÈUJDB t oBOP t .BUFSJBMGPUPDPQJÈWFMª4BOUJMMBOB$POTUÉODJB

163

PARTE

2

13"5*$" O QUE APRENDESTE

Guiões didácticos

1

PÁGS. 210-213

1.1 5PEBTBTGJHVSBTSFQSFTFOUBNQPMÓHPOPT 1.2 AFBCFD. 1.3 D → 10

E→9

F →

1.4 &YFNQMP

2

2.1 5PEBTBTGJHVSBTUÐNVOJEBEFTEFQFSÓNFUSP PRVFTFSJBUBNCÏNPQFSÓNFUSPEPRVBESBEPJOJDJBM 2.2 C , D , B , A 2.3 &YFNQMP

3

&YFNQMP

4

&YFNQMP

5

ÁREA

DN2

164

6

NFUSPT

7

a) b) c) d) e) f)

COMPRIMENTO

LARGURA

PERÍMETRO

DN

DN

DN

12 cm

2 cm

28 cm

8 cm

3 cm

22 cm

6 cm

4 cm

20 cm

N2 .EN2 N2 5DN2 DN2 ,NN2 N2 .DN2 LN2 5N2 DN2 , N2


PARTE

8

2

8.1 û

9

9.1 "F$→

Guiões didácticos

8.2 N N N N N N 1 1 1 DBEB#→ DBEB" # $F%→ DBEB 12

9.2 &YFNQMP "ÈSFBEP#ÏFRVJWBMFOUFËTPNBEBTÈSFBTEP"FEP$ "ÈSFBEP$ÏFRVJWBMFOUFËTPNBEBTÈSFBTEP"FEP# 9.3 "F$→N2DBEB #→N2 " # $F%→N2DBEB 10 DN2 11 AA 5 DN2 AB 5DN2 AC 5DN2 12

13 A 5 DN2 14 AA 5DN2 AB 5 LN2 15 AA 5 DN2 AB 5 DN2

AC 5 DN2 AD 5 DN2

16 16.1 5SJÉOHVMP SFDUÉOHVMPFTFNJDÓSDVMP 16.2 $BMDVMBWBFTPNBWBBTÈSFBTEPUSJÉOHVMP EPSFDUÉOHVMPFEPTFNJDÓSDVMP NFUBEFEFVNDÓSDVMP /FDFTTJUBSJBEFTBCFSBTNFEJEBTEBBMUVSBFEBCBTFEPUSJÉOHVMPFBJOEBBNFEJEBEBBMUVSBEP SFDUÉOHVMP 17 AA 5 DN2 AB5 DN2 18 18.1 N2 18.2 N2 19 "UBSUFFNGPSNBDJSDVMBSTBJNBJTCBSBUB QPJTUFNNBJPSÈSFB DN2 FORVBOUPBUBSUFSFDUBOHVMBSUFN DN2EFÈSFB

"7"-*"026&"13&/%&45& 1

PÁGS. 214 e 215

1.1 PA 5DN

PB 5DN

PC 5DN

PD 5DN

1.2 AA 5DN

AB 5DN

AC 5DN

AD 5DN2

2

2

2

1.3 "TGJHVSBTBFCTÍPFRVJWBMFOUFT %&4"'*04 t .BUFNÈUJDB t oBOP t .BUFSJBMGPUPDPQJÈWFMª4BOUJMMBOB$POTUÉODJB

165

PARTE

Guiões didácticos

2

2

DN2 , EN2 , N2 ,EBN2 , LN2

3

3.1 "'BCJBOB QFMPWJESP WBJQBHBSDÐOUJNPT 3.2 7BJQBHBS ûQFMBGJUB

4

"ÈSFBEBQBSUFDPMPSJEBÏEF DN2

5

a) DN2 b) DN2 c) DN2

6

A 5 N2

7

7.1 7 ,ÈSFB, 7.2 "ÈSFBÏEFDN2

8

a) AA 5 DN2 b) AB 5 DN2

9

9.1 AT 5 N2 9.2 4ÍPOFDFTTÈSJPT BQSPYJNBEBNFOUF QBDPUFTEFTFNFOUFT 9.3 (BTUBSTFÍP ûFNQBDPUFTEFTFNFOUFT

DESAFIOS

PÁGS. 216 e 217

«3&".«(*$" 0SFDUÉOHVMPUFNEFDPNQSJNFOUPVOJEBEFTFEFMBSHVSBVOJEBEFT PRVFEÈVNBÈSFBEFVOJEBEFT /BWFSEBEF OPSFDUÉOHVMPBTQFÎBTOÍPTFBKVTUBNDPNQMFUBNFOUFIÈVNBGBMIBBPMPOHPEBEJBHPOBMRVFÏ VNQBSBMFMPHSBNPNVJUPFTUSFJUP EFÈSFBJHVBMB

26"%3"%0".#*7"-&/5&

53"#"-)0%&130+&$50 1

166

PÁG. 218

7BJTFSOFDFTTÈSJPHBTUBS û


PARTE

3 Fichas

t t t t

'JDIBTEFUSBCBMIP 'JDIBTEFBWBMJBÎÍP 'JDIBTEFSFGPSÎP 'JDIBTEFBNQMJBÎÍP

168 206 250 304

167

PARTE

Fichas

3

Fichas de trabalho 6/*%"%& t t t t

FICHA DE TRABALHO 1 FICHA DE TRABALHO 2 FICHA DE TRABALHO 3 ACTIVIDADE 1

*HVBMEBEFEF&VMFS 1JOUBOEPQPMJFESPT 1MBOJGJDBÎÜFTEPDVCP $POTUSVÎÍPEFNPEFMPTEFTØMJEPTHFPNÏUSJDPT

169 170 171 172

1PTJÎÍPSFMBUJWBEFEVBTSFDUBT $MBTTJGJDBÎÍPEFÉOHVMPT 3FMBÎÜFTFOUSFÉOHVMPT 5BOHSBNJ

174 175 176 177

.ÞMUJQMPT .ÞMUJQMPT .ÞMUJQMPTFEJWJTJCJMJEBEF +PHPTDPNEPJTEBEPT

178 179 180 181

183 184 185 186

6/*%"%& t t t t


6/*%"%& t t t t


6/*%"%& t t t t

FICHA DE TRABALHO 10 'SBDÎÜFTFRVJWBMFOUFT FICHA DE TRABALHO 11 /ÞNFSPTEFDJNBJT FICHA DE TRABALHO 12 /ÞNFSPTSBDJPOBJT ACTIVIDADE 4 %PNJOØEPTOÞNFSPTSBDJPOBJT

6/*%"%& t FICHA DE TRABALHO 13 (SÈGJDPTEFCBSSBT t FICHA DE TRABALHO 14 %JBHSBNBT UBCFMBTFNÏEJB t FICHA DE TRABALHO 15 "NBSBUPOBOPT+PHPT0MÓNQJDPT

188 189 190

6/*%"%& t FICHA DE TRABALHO 16 1FSÓNFUSPT t FICHA DE TRABALHO 17 /PSFTUBVSBOUF

191 192

6/*%"%&

168

t FICHA DE TRABALHO 18 «SFBT t FICHA DE TRABALHO 19 4FRVÐODJBRVBESBEPTFNFTDBEB t ACTIVIDADE 5 1BSUFTJHVBJTBPUPEP

193 194 195

t 4PMVÎÜFTEBTGJDIBTEFUSBCBMIPFEBTBDUJWJEBEFT

196

PARTE

3

'*$)"%&53"#"-)0 IHVBMEBEFEF&VMFS

1

%"5":

1BSBDBEBVNEPTQPMJFESPT JOEJDBPOÞNFSPEFGBDFT EFBSFTUBTFEFWÏSUJDFTFWFSJGJDBBTFHVJOUF JHVBMEBEF DPOIFDJEBQPSJHVBMEBEFEF&VMFSBTPNBEPOÞNFSPEFGBDFTDPNPOÞNFSPEFWÏSUJDFT ÏJHVBMËTPNBEPOÞNFSPEFBSFTUBTDPN PRISMA TRIANGULAR

PIRÂMIDE PENTAGONAL

PRISMA QUADRANGULAR

/ÞNFSPEFGBDFT

/ÞNFSPEFGBDFT

/ÞNFSPEFGBDFT

/ÞNFSPEFWÏSUJDFT

/ÞNFSPEFWÏSUJDFT

/ÞNFSPEFWÏSUJDFT

/ÞNFSPEFBSFTUBT

/ÞNFSPEFBSFTUBT

/ÞNFSPEFBSFTUBT

*HVBMEBEFEF&VMFS

*HVBMEBEFEF&VMFS

*HVBMEBEFEF&VMFS

PIRÂMIDE QUADRANGULAR

2

563.":

Fichas

/0:

/0.&:

PRISMA OCTOGONAL

PIRÂMIDE HEXAGONAL

/ÞNFSPEFGBDFT

/ÞNFSPEFGBDFT

/ÞNFSPEFGBDFT

/ÞNFSPEFWÏSUJDFT

/ÞNFSPEFWÏSUJDFT

/ÞNFSPEFWÏSUJDFT

/ÞNFSPEFBSFTUBT

/ÞNFSPEFBSFTUBT

/ÞNFSPEFBSFTUBT

*HVBMEBEFEF&VMFS

*HVBMEBEFEF&VMFS

*HVBMEBEFEF&VMFS

+VTUJGJDBBTUVBTSFTQPTUBTBDBEBVNBEBTRVFTUÜFT

B 2 VBOUBTGBDFTUFNVNTØMJEPDPNBSFTUBTFWÏSUJDFT 2VFGPSNBUÐNBTGBDFTEFTTFTØMJEP

C 2 VBOUPTWÏSUJDFTUFNVNTØMJEPDPNGBDFTFBSFTUBT 2VFGPSNBUÐNBTTVBTGBDFTMBUFSBJT

D 2 VBOUBTBSFTUBTUFSÈVNTØMJEPDPNGBDFTFWÏSUJDFT *EFOUJGJDBPTØMJEPSFGFSJEP

E 1 PEFSÈIBWFSQJSÉNJEFTDPNVNOÞNFSPÓNQBSEFBSFTUBT &QSJTNBT

F % J[TFÏWFSEBEFJSBBGSBTFPTWÏSUJDFT OVNQSJTNB TÍPTFNQSFFNOÞNFSPQBS FORVBOUPOVNB QJSÉNJEFTÍPTFNQSFFNOÞNFSPÓNQBS %&4"'*04 t .BUFNÈUJDB t oBOP t .BUFSJBMGPUPDPQJÈWFMª4BOUJMMBOB$POTUÉODJB

169

PARTE

Fichas

3

'*$)"%&53"#"-)0 1JOUBOEPQPMJFESPT /0:

/0.&:

1

2

563.":

%"5":

*OEJDB QBSBDBEBVNEPTTØMJEPTHFPNÏUSJDPTSFQSFTFOUBEPT RVBMÏPOÞNFSPNÓOJNPEFDPSFT RVFEFWFSÈTVTBSEFNPEPRVFDBEBVNBEBTGBDFTUFOIBVNBDPSEJGFSFOUFEBTRVFMIFTÍP DPOUÓHVBT PRISMA TRIANGULAR

PIRÂMIDE PENTAGONAL

PRISMA QUADRANGULAR

PIRÂMIDE QUADRANGULAR

PRISMA HEXAGONAL

PIRÂMIDE TRIANGULAR

PRISMA OCTOGONAL

PIRÂMIDE HEXAGONAL

PARALELEPÍPEDO RECTÂNGULO

"TTJOBMB7QBSBBTGSBTFTRVFDPOTJEFSBSFTWFSEBEFJSBTF'QBSBBTRVFDPOTJEFSBSFTGBMTBT 2VBOUBTNBJTGBDFTUFNPTØMJEPNBJTDPSFTTÍPOFDFTTÈSJBT 0OÞNFSPEFDPSFTWBSJBDPOGPSNFTFUSBUFEFVNBQJSÉNJEFPVEFVNQSJTNB )ÈVNBSFMBÎÍPFOUSFPOÞNFSPEFGBDFTEPTØMJEPFPOÞNFSPEFDPSFTBVUJMJ[BS

3

170

1SPDVSBEFTDPCSJSVNBSFMBÎÍPFOUSFPOÞNFSPEFDPSFTBVUJMJ[BSFVNBDBSBDUFSÓTUJDBEPTØMJEP BQJOUBS


PARTE

3

'*$)"%&53"#"-)0 1MBOJGJDBÎÜFTEPDVCP /0:

563.":

Fichas

/0.&:

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0CTFSWBBTGJHVSBTFBTTJOBMBDPNVNBDSV[ 9 BTRVFQFOTBTRVFQPEFNDPSSFTQPOEFSBQMBOJGJDBÎÜFT EPDVCP3FDPSUBEFQPJTBTGJHVSBTFWFSJGJDBTFBUVBJEFJBFTUBWBDPSSFDUB


171

PARTE

Fichas

3

"$5*7*%"%& $POTUSVÎÍPEFNPEFMPTEFTØMJEPTHFPNÏUSJDPT .BUFSJBJT t $BSUÜFT t 1BMIJOIBT t 1MBTUJDJOB $BEBHSVQPSFDFCFVNDBSUÍPFPNBUFSJBMOFMFJOEJDBEP 0EFTBGJPDPOTJTUFFNJEFOUJGJDBSPTØMJEPQBTTÓWFMEFTFSDPOTUSVÓEPVUJMJ[BOEPUPEBTBTQBMIJOIBT "QØTBDPOTUSVÎÍP DBEBHSVQPEFWFSFHJTUBSPTEBEPTSFGFSFOUFTBPTØMJEPDPOTUSVÓEPGPSNBEB T CBTF T FEBT GBDFTMBUFSBJT OÞNFSPEFCBTFT GBDFT BSFTUBTFWÏSUJDFT PALHINHAS CARTÃO

172


Grandes

Médias

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A

1JSÉNJEFUSJBOHVMBS

#

1JSÉNJEFRVBESBOHVMBS

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D

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G

1SJTNBQFOUBHPOBM

)

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I

1SJTNBPDUPHPOBM

J

1SJTNBRVBESBOHVMBS

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-

$VCP


PARTE

#

$

D

E

F

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173

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252 253 254 255

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Frequência absoluta e frequência relativa Média Média e moda Aproximação de números decimais

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FICHA DE REFORÇO 6 FICHA DE REFORÇO 7 FICHA DE REFORÇO 8 FICHA DE REFORÇO 9 FICHA DE REFORÇO 10 FICHA DE REFORÇO 11 FICHA DE REFORÇO 12 FICHA DE REFORÇO 13 FICHA DE REFORÇO 14 FICHA DE REFORÇO 15

UNIDADE 4 t t t t t t t

FICHA DE REFORÇO 16 FICHA DE REFORÇO 17 FICHA DE REFORÇO 18 FICHA DE REFORÇO 19 FICHA DE REFORÇO 20 FICHA DE REFORÇO 21 FICHA DE REFORÇO 22

UNIDADE 5 t t t t

FICHA DE REFORÇO 23 FICHA DE REFORÇO 24 FICHA DE REFORÇO 25 FICHA DE REFORÇO 26

UNIDADE 6 t FICHA DE REFORÇO 27 Submúltiplos do metro t FICHA DE REFORÇO 28 Relações entre as unidades de comprimento t FICHA DE REFORÇO 29 O perímetro da circunferência

277 278 279

UNIDADE 7 t t t t t t t t

FICHA DE REFORÇO 30 FICHA DE REFORÇO 31 FICHA DE REFORÇO 32 FICHA DE REFORÇO 33 FICHA DE REFORÇO 34 FICHA DE REFORÇO 35 FICHA DE REFORÇO 36 FICHA DE REFORÇO 37

Relações entre unidades de superfície Unidades de superfície Base e altura de triângulos e paralelogramos A área do quadrado e do rectângulo Área do triângulo Área de uma figura A área de figuras compostas Área do círculo

t 4PMVÎÜFTEBTGJDIBTEFSFGPSÎP

250

280 281 282 283 284 285 286 287 288

PARTE

'*$)"%&3&'03±0 Poliedros e poliedros regulares TURMA:

Fichas

N.O:

NOME:

3

DATA:

RECORDA

t 0TpoliedrosTÍPTØMJEPTHFPNÏUSJDPTDVKBTGBDFTTÍPQPMÓHPOPT0TFMFNFOUPTEFVNQPMJFESPTÍP faces, arestasFvértices t 0Tpoliedros regularesTÍPBRVFMFTDVKBTGBDFTTÍPQPMÓHPOPTSFHVMBSFTJHVBJTFFNRVFFNDBEB VNEPTTFVTWÏSUJDFTTFFODPOUSBNPNFTNPOÞNFSPEFGBDFT &YJTUFNBQFOBTDJODPQPMJFESPTSFHVMBSFTtetraedro, octaedro, icosaedro, cuboFdodecaedro

1

Coloca um círculo à volta dos poliedros. Depois, marca com uma cruz (x) os poliedros regulares.

2

Escreve o nome dos elementos deste poliedro. Depois, responde.

t ²VNQPMJFESPSFHVMBS 1PSRVÐ

3

Completa a tabela. POLIEDRO REGULAR

NÚMERO DE FACES

NÚMERO DE ARESTAS

NÚMERO DE VÉRTICES

5FUSBFESP 0DUBFESP *DPTBFESP $VCP %PEFDBFESP


251

PARTE

Fichas

3

'*$)"%&3&'03±0 Ângulos com mais de 180º N.O:

NOME:

TURMA:

DATA:

RECORDA

1PSFYFNQMP QBSBNFEJSVNÉOHVMPDPNNBJTEF 1SPMPOHBNPTVNEPTMBEPTEPÉOHVMPAμ 0ÉOHVMPAμÏJHVBMB1 B$ .FEJNPTPÉOHVMPB$ DPNPUSBOTGFSJEPSB$ 5 $ BMDVMBNPTBNFEJEBEPÉOHVMPAμ Aμ 515

1

Mede os seguintes ângulos com mais de 180º.

2

%FTFOIBPTÉOHVMPTRVFTFJOEJDBN 6NÉOHVMPEF

Agora, explica como traças ângulos com mais de 180º.

252


6NÉOHVMPEF

PARTE

3

'*$)"%&3&'03±0 Traçar ângulos TURMA:

Fichas

N.O:

NOME:

DATA:

RECORDA

1BSBUSBÎBSVNÉOHVMP TFHVFFTUFTQBTTPT %FTFOIBDPNVNBSÏHVBVNBTFNJSFDUBDPNPSJHFNOPQPOUP" $PMPDBPUSBOTGFSJEPSEFNBOFJSBBRVFPTFVDFOUSPDPJODJEBDPNPQPOUP" FBTFNJSFDUBBOUFSJPSQBTTFQPS 1 SPDVSBOPUSBOTGFSJEPSBNFEJEBEPÉOHVMPRVFQSFUFOEFTEFTFOIBS QPS FYFNQMP FNBSDBDPNVNSJTDP %FTFOIBPVUSBTFNJSFDUBDPNPSJHFNOPQPOUP"RVFQBTTFQFMPSJTDP NBSDBEP

1

4FHVFBTJOTUSVÎÜFTFEFTFOIBVNÉOHVMPEF t t t t

2

%FTFOIBVNBTFNJSFDUB $PMPDBPUSBOTGFSJEPS .BSDBBNFEJEBEPÉOHVMP %FTFOIBPPVUSPMBEPEPÉOHVMP

Traça os seguintes ângulos. Aμ 5

B$ 5

Cμ 5

μ 5 D

E$ 5

F$ 5


253

PARTE

Fichas

3

'*$)"%&3&'03±0 Ângulos complementares e suplementares N.O:

NOME:

TURMA:

DATA:

RECORDA

t %PJTÉOHVMPTEJ[FNTFcomplementaresTFBTVBTPNBGPSJHVBMB t %PJTÉOHVMPTEJ[FNTFsuplementaresTFBTVBTPNBGPSJHVBMB

1

&NDBEBDBTP QSJNFJSPFTDSFWFDPNQMFNFOUBSPVTVQMFNFOUBSDPOGPSNFMIFDPSSFTQPOEB Depois, calcula a medida do ângulo cinzento.

Aμ 65º B$

Cμ

μ D

100º

F$ 35º

Gμ

2

t ¬OHVMP

t ¬OHVMPAμ 5

t ¬OHVMPB$ 5

t ¬OHVMP

t ¬OHVMPCμ 5

μ5 t ¬OHVMPD

t ¬OHVMP

t ¬OHVMPF$ 5

t ¬OHVMPGμ 5

Observa a medida do ângulo Aμ e calcula.

Aμ 5¡

0TFVÉOHVMPDPNQMFNFOUBS

254


0TFVÉOHVMPTVQMFNFOUBS

PARTE

'*$)"%&3&'03±0 Circunferência e círculo: elementos TURMA:

Fichas

N.O:

NOME:

3

DATA:

RECORDA co ar

t 0TFMFNFOUPTEBDJSDVOGFSÐODJBFEPDÓSDVMPTÍPPcentro, o raio, o diâmetro BcordaFParco

diâmet

r ai

o

t "circunferênciaÏVNBMJOIBDVSWBGFDIBEBFPcírculoÏVNB GJHVSBQMBOBMJNJUBEBQPSVNBDJSDVOGFSÐODJB

ro centro corda

1

Completa.

t 0

ÏPTFHNFOUPRVFVOFPDFOUSPDPNRVBMRVFSQPOUPEBDJSDVOGFSÐODJB

t 0

ÏPQPOUPRVFFTUÈBJHVBMEJTUÉODJBEFRVBMRVFSQPOUPEBDJSDVOGFSÐODJB

t "

ÏPTFHNFOUPRVFVOFEPJTQPOUPTEBDJSDVOGFSÐODJB

t 0

ÏBQBSUFEBDJSDVOGFSÐODJBDPNQSFFOEJEBFOUSFEPJTQPOUPT

t 0

ÏPTFHNFOUPRVFVOFEPJTQPOUPTEBDJSDVOGFSÐODJBFQBTTBQFMPDFOUSP

2

Observa e completa. B A

M C D E

t 0QPOUPMÏP

EBDJSDVOGFSÐODJB

t 0TFHNFOUPADÏVN

EBDJSDVOGFSÐODJB

t 0TFHNFOUPMBÏVN

EBDJSDVOGFSÐODJB

t 0TFHNFOUPECÏVNB

EBDJSDVOGFSÐODJB

"HPSB EFTFOIBVNBSDPOFTTBDJSDVOGFSÐODJB


255

PARTE

Fichas

3

'*$)"%&3&'03±0 Cálculo de todos os divisores de um número N.O:

NOME:

TURMA:

DATA:

RECORDA

1BSBDBMDVMBSUPEPTPTEJWJTPSFTEFVNOÞNFSP %JWJEFFTTFOÞNFSPQFMPTOÞNFSPTOBUVSBJT y %FDBEBEJWJTÍPFYBDUB PCUÏOTEPJTEJWJTPSFTPEJWJTPSFPRVPDJFOUF %FJYBEFEJWJEJSRVBOEPPRVPDJFOUFGPSNFOPSEPRVFPVJHVBMBPEJWJTPS

1

Calcula todos os divisores de cada um dos números. %JWJTPSFTEF

t 0TEJWJTPSFTEFTÍP

%JWJTPSFTEF

t 0TEJWJTPSFTEFTÍP

2

Lê e resolve. "1BVMBQSFUFOEFSFQBSUJSDSPNPTFNWÈSJPT NPOUFT EFGPSNBBRVFDBEBNPOUFUFOIB PNFTNPOÞNFSPEFDSPNPTFOÍPMIFTPCSF → OFOIVN 2VBOUPTDSPNPTQPEFB1BVMBQÙSFNDBEB NPOUF

256


%JWJTPSFTEF

t 0TEJWJTPSFTEFTÍP

%JWJTPSFTEF

t 0TEJWJTPSFTEFTÍP

PARTE

3

'*$)"%&3&'03±0 Divisores de um número TURMA:

Fichas

N.O:

NOME:

DATA:

RECORDA

t 6NOÞNFSPbÏEJWJTPSEFPVUSPaTFBEJWJTÍPa : bGPSFYBDUB t 4FbGPSEJWJTPSEFa, aÏNÞMUJQMPEFb FTFaGPSNÞMUJQMPEFb, bÏEJWJTPSEFa

1

Em cada caso, coloca um círculo à volta de três divisores de cada número.

t %F →

t %F →

t %F→

t %F →

2

Observa e depois completa. ÏNÞMUJQMPEF

3 3 5

5 3

3 ÏEJWJTPSEF

t ÏNÞMUJQMPEFFÏEJWJTPSEF

t

ÏNÞMUJQMPEF

F

ÏEJWJTPSEF

t

ÏNÞMUJQMPEF

F

ÏEJWJTPSEF

t

ÏNÞMUJQMPEF

F

ÏEJWJTPSEF

3

Pinta segundo se indica. Depois, responde. Vermelho →EJWJTPSFTEF Azul →EJWJTPSFTEF

13

18

23

11

17

53

31 3

71

41

65

100

4

2

61 19

t 2VFOÞNFSPUFTBJV

t &TTFOÞNFSPÏEJWJTPSEFF

12

37

35

25

29 55

6

0

7

43 9 24

8

59


257

PARTE

3 Fichas

'*$)"%&3&'03±0 Números primos e compostos N.O:

NOME:

TURMA:

RECORDA

t 6NOÞNFSPEJ[TFprimoTFBQFOBTUFNEPJTEJWJTPSFTFFMFNFTNP t 6NOÞNFSPEJ[TFcompostoTFUFNNBJTEFEPJTEJWJTPSFT

1

4 →

→

→

→

→

t 2VBJTEFTUFTOÞNFSPTTÍPOÞNFSPTQSJNPT 1PSRVÐ

t 2VBJTEFTUFTOÞNFSPTTÍPOÞNFSPTDPNQPTUPT 1PSRVÐ

2

33 →

Calcula. Depois, encontra cada um dos resultados na sopa de números.

t 1 3 5

t 32 2 5

t 32 3 5

t 3 3 13135

t 13 12 5

3

258

Calcula todos os divisores de cada número. Depois, responde.

4

3

4

4

Como são os números que encontraste, primos ou compostos? Porquê?


DATA:

PARTE

3

'*$)"%&3&'03±0 Múltiplos de um número TURMA:

Fichas

N.O:

NOME:

DATA:

RECORDA

t 0TNÞMUJQMPTEFVNOÞNFSPPCUÐNTFNVMUJQMJDBOEPFTTFOÞNFSPQFMPTOÞNFSPTOBUVSBJT y t 6NOÞNFSPaÏNÞMUJQMPEFPVUSPbTFBEJWJTÍPa : bGPSFYBDUB

1

Em cada caso, escreve os números que se indicam. →

t 0TUSÐTQSJNFJSPTNÞMUJQMPTEF

t 0TRVBUSPQSJNFJSPTNÞMUJQMPTEF →

t 0TUSÐTQSJNFJSPTNÞMUJQMPTEF

→

t 0TTFJTQSJNFJSPTNÞMUJQMPTEF

→

2

Em cada sequência, escreve mais quatro termos e completa.

,

,

3

,

,

,

→4ÍPNÞMUJQMPTEF

,

→4ÍPNÞMUJQMPTEF

,

,

→4ÍPNÞMUJQMPTEF

,

Calcula e responde.

ÏNÞMUJQMPEF

ÏNÞMUJQMPEF

ÏNÞMUJQMPEF

→

t BEJWJTÍPÏFYBDUB

t é múltiploEF

→

t

t

→

t

t


259

PARTE

3 Fichas

'*$)"%&3&'03±0 Mínimo múltiplo comum (m. m. c.) N.O:

NOME:

TURMA:

DATA:

RECORDA

O mínimo múltiplo comum (m.m.c.)EFEPJTPVNBJTOÞNFSPTÏPNFOPSNÞMUJQMPDPNVN EJGFSFOUF EF[FSP EFTTFTOÞNFSPT

1

Coloca um círculo à volta dos números do quadro, de acordo com as instruções. Depois, responde. Vermelho →NÞMUJQMPTEF Azul →NÞMUJQMPTEF

3

4

t 2VFOÞNFSPTTÍPTJNVMUBOFBNFOUFNÞMUJQMPTEFFEF

t 2VBMÏPNÓOJNPNÞMUJQMPDPNVNEFF 2

Escreve os 8 primeiros múltiplos dos seguintes números.

t .ÞMUJQMPTEF →

t .ÞMUJQMPTEF →

t .ÞMUJQMPTEF →

t .ÞMUJQMPTEF →

t .ÞMUJQMPTEF → Agora, escreve o mínimo múltiplo comum de cada par de números.

t NND

→

t NND

→

t NND

→

t NND → 3

Lê e resolve 0$BSMPTUFNVNBUÞMJQBRVFSFHB BDBEBEJBTFVNHFSÉOJPRVFSFHB BDBEBEJBT → )PKFSFHPVBTEVBTQMBOUBT %FOUSPEFRVBOUPTEJBTWPMUBSÈ BSFHBSBTEVBTQMBOUBT TJNVMUBOFBNFOUF

260


PARTE

'*$)"%&3&'03±0 Máximo divisor comum (m. d. c.) TURMA:

Fichas

N.O:

NOME:

3

DATA:

RECORDA

O máximo divisor comum (m. d. c.)EFEPJTPVNBJTOÞNFSPTÏPNBJPSEJWJTPSDPNVNEFTTFT OÞNFSPT

1

Calcula o máximo divisor comum de cada par de números. t %JWJTPSFTEF

→

t %JWJTPSFTEF

→

t %JWJTPSFTDPNVOTEFF

→

NED

t NED

→

t %JWJTPSFTEF

→

t %JWJTPSFTEF

→

NED

t NED

→

t %JWJTPSFTEF

→

t %JWJTPSFTEF → NED → t %JWJTPSFTDPNVOTEFF →

t NED

→

t %JWJTPSFTEF

→

t %JWJTPSFTEF → NED → t %JWJTPSFTDPNVOTEFF →

2

→

→

t %JWJTPSFTDPNVOTEFF →

t NED

→

Lê e resolve.

""OBUFNGBUJBTEFRVFJKPFEF QSFTVOUP5FNEFQSFQBSBSTBOEVÓDIFTDPN BNFTNBRVBOUJEBEFEFRVFJKPFEFQSFTVOUP FNDBEBVNBTFNRVFTPCSFOBEB2VBOUBT TBOEVÓDIFTQPEFSÈGB[FS

→


261

PARTE

3 Fichas

'*$)"%&3&'03±0 Critérios de divisibilidade por 2, 3 e 5 N.O:

NOME:

TURMA:

DATA:

RECORDA

t 6NOÞNFSPÏdivisível por 2TFGPSVNOÞNFSPQBS t 6NOÞNFSPÏdivisível por 3TFBTPNBEPTTFVTBMHBSJTNPTGPSVNNÞMUJQMPEF t 6NOÞNFSPÏdivisível por 5TFPTFVÞMUJNPBMHBSJTNPGPSPV

Responde.

t ÏEJWJTPSEF 1PSRVÐ



2

Completa a tabela, escrevendo em cada casa sim ou não conforme o caso.

3

ÏNÞMUJQMPEFy ÏNÞMUJQMPEFy ÏNÞMUJQMPEFy

3

$PMPDBVNDÓSDVMPTFHVOEPBDIBWF%FQPJT SFTQPOEF Vermelho →NÞMUJQMPTEF Azul →NÞMUJQMPTEF Verde →NÞMUJQMPTEF

4

t 2VFOÞNFSPÏTJNVMUBOFBNFOUFEJWJTÓWFMQPS F 4

262

Pensa e escreve um número menor do que 50 que seja simultaneamente múltiplo de 2, 3 e 5.


PARTE

3

'*$)"%&3&'03±0 Potências TURMA:

Fichas

N.O:

NOME:

DATA:

RECORDA

t "TQPUÐODJBTSFQSFTFOUBNQSPEVUPTEFGBDUPSFTJHVBJT t 0GBDUPSRVFTFSFQFUFDIBNBTFCBTFFPOÞNFSPEFWF[FTRVFTFSFQFUFDIBNBTFFYQPFOUF 3

#BTF

1

Escreve em forma de potência.

t 33 3 5 4

t 33 5

t 33 3 3 5

t 33 3 3 3 3 5

t 35 2

Escreve em forma de produto.

t 5

t 4 5

t 5

t 5 3

4

&YQPFOUF3 533

Relaciona cada potência com o seu desenvolvimento.

t

t 33 3 3

4

t

t 33 3

t

t 33 3 3 3

Completa a tabela. 1SPEVUP

1PUÐODJB

#BTF

&YQPFOUF

-ÐTF

333333333 33 3 3 3 3 33 33 3 3 3


263

PARTE

Fichas

3

'*$)"%&3&'03±0 Fracções: termos, leitura e escrita N.O:

NOME:

TURMA:

DATA:

RECORDA

t 0TUFSNPTEFVNBGSBDÎÍPTÍPPOVNFSBEPSFPEFOPNJOBEPS — O denominadorJOEJDBPOÞNFSPEFQBSUFTJHVBJTFNRVFTFEJWJEFBVOJEBEF — O numeradorJOEJDBPOÞNFSPEFQBSUFTJHVBJTRVFTFUPNBNEBVOJEBEF t 1BSBMFSVNBGSBDÎÍPDPNEFOPNJOBEPSNBJPSEPRVF EJ[FNPTQSJNFJSPPOÞNFSPEPOVNFSBEPS F TFHVJEBNFOUF POÞNFSPEPEFOPNJOBEPS BDSFTDFOUBOEPBFTUFÞMUJNPBUFSNJOBÎÍPjBWPTx

1

Observa e responde.

t 2VFGSBDÎÍPSFQSFTFOUBPTRVBESBEPTDJO[FOUPT

t 2VBMÏPOVNFSBEPSEFTTBGSBDÎÍP

t 0RVFJOEJDBPOVNFSBEPS

t 2VBMÏPEFOPNJOBEPSEFTTBGSBDÎÍP

t 0RVFJOEJDBPEFOPNJOBEPS

2

Escreve a fracção que representa a parte colorida em cada figura.

3

Pinta em cada figura a fracção que se indica. Depois, escreve como se lê cada fracção. →

→ TFJTEF[BTTFJTBWPT

→

264


→

PARTE

3

'*$)"%&3&'03±0 Fracções e números mistos TURMA:

Fichas

N.O:

NOME:

DATA:

RECORDA

t 6Nnúmero mistoÏGPSNBEPQPSVNnúmero naturalFVNBfracção t 5PEBTBTGSBDÎÜFTNBJPSFTEPRVFBVOJEBEFRVFOÍPTÍPFRVJWBMFOUFTBVNOÞNFSPOBUVSBMQPEFN FYQSJNJSTFFNGPSNBEFVNOÞNFSPNJTUP

1

Escreve a fracção que representa a parte colorida. Depois, exprime essa fracção em forma de número misto.

5 3 3 2

Pinta a fracção que se indica e escreve-a em forma de um número misto.

→ 3

→

→ 4

→

3

$PNQMFUB t

5 3 3

t

5

t

5 3

t

5

t

4 5

t

3 5 4

t

5

t

5


265

PARTE

3 Fichas

'*$)"%&3&'03±0 Unidades decimais N.O:

NOME:

TURMA:

DATA:

RECORDA

"EÏDJNB BDFOUÏTJNBFBNJMÏTJNBTÍPVOJEBEFTEFDJNBJT VOJEBEF5EÏDJNBT5DFOUÏTJNBT5NJMÏTJNBT

1

Completa.

t VOJEBEF 5

EÏDJNBT5

DFOUÏTJNBT5

NJMÏTJNBT

t VOJEBEFT5

EÏDJNBT5

DFOUÏTJNBT5

NJMÏTJNBT

t VOJEBEFT5

EÏDJNBT5

DFOUÏTJNBT5

NJMÏTJNBT

t VOJEBEFT5

EÏDJNBT5

DFOUÏTJNBT5

NJMÏTJNBT

2

Expressa na unidade decimal que se indica em cada caso.

t VOJEBEFTFEÏDJNBT515

Em décimas



t VOJEBEFTFDFOUÏTJNBT5

Em centésimas



t VOJEBEFTFNJMÏTJNBT5

Em milésimas



3

266

DFOUÏTJNBT

NJMÏTJNBT

Escreve em forma de fracção e em forma decimal. 9 DÉCIMAS

4

EÏDJNBT

'PSNBEFGSBDÎÍP

'PSNBEFDJNBM

5 CENTÉSIMAS

6 MILÉSIMAS

Escreve em forma de fracção e em forma decimal.

t EÏDJNBT →

t DFOUÏTJNBT→

t NJMÏTJNBT →


3 DÉCIMAS

4 CENTÉSIMAS

8 MILÉSIMAS

PARTE

3

'*$)"%&3&'03±0 Fracções decimais TURMA:

Fichas

N.O:

NOME:

DATA:

RECORDA

"Tfracções decimaisTÍPBTGSBDÎÜFTRVFUÐNQPSEFOPNJOBEPSBVOJEBEFTFHVJEBEF[FSPT y

1

Coloca um círculo à volta das fracções decimais.

3

2

3

/ÞNFSP EFDJNBM

'SBDÎÍP EFDJNBM

/ÞNFSP EFDJNBM

'SBDÎÍP EFDJNBM

3333

333

33

3

4

/ÞNFSP EFDJNBM

Completa. Centésimas

4

Escreve o número decimal que corresponde a cada fracção decimal. 'SBDÎÍP EFDJNBM

3

Fracção decimal

Número decimal

Milésimas

DFOUÏTJNBT

NJMÏTJNBT

DFOUÏTJNBT

NJMÏTJNBT

DFOUÏTJNBT

NJMÏTJNBT

DFOUÏTJNBT

NJMÏTJNBT

DFOUÏTJNBT

NJMÏTJNBT

Fracção decimal

Número decimal

Completa a sequência.

Número decimal

Fracção decimal


267

PARTE

3 Fichas

'*$)"%&3&'03±0 Fracções equivalentes N.O:

NOME:

TURMA:

DATA:

RECORDA

t "Tfracções equivalentesSFQSFTFOUBNBNFTNBQBSUFEBVOJEBEF t 4FEVBTGSBDÎÜFTTÍPFRVJWBMFOUFT PTQSPEVUPTEPTTFVTUFSNPTFNDSV[TÍPJHVBJT

1

Para cada caso, escreve a fracção que representa a parte colorida. Depois, indica se as fracções de cada par são ou não equivalentes.

3 4ÍPFRVJWBMFOUFT 2

Coloca um círculo em volta das fracções equivalentes à fracção dada.

3

3

t

4

268

Calcula três fracções equivalentes a cada fracção. 3 t t t

→ → → →

Pensa e escreve. t 6NBGSBDÎÍPFRVJWBMFOUFB FNRVFPOVNFSBEPSÏ → t 6NBGSBDÎÍPFRVJWBMFOUFB FNRVFPEFOPNJOBEPSÏ →


PARTE

'*$)"%&3&'03±0 Redução ao mesmo denominador TURMA:

Fichas

N.O:

NOME:

3

DATA:

RECORDA

1BSBSFEV[JSEVBTPVNBJTGSBDÎÜFTBPNFTNPEFOPNJOBEPSBUSBWÏTEPNÏUPEPEPNÓOJNPNÞMUJQMP DPNVN FTDSFWFDPNPEFOPNJOBEPSPNNDEPTEFOPNJOBEPSFTFDPNPOVNFSBEPSEFDBEB GSBDÎÍP PSFTVMUBEPEFEJWJEJSPEFOPNJOBEPSDPNVNFOUSFDBEBEFOPNJOBEPSFNVMUJQMJDÈMPQFMP OVNFSBEPSDPSSFTQPOEFOUF 1PSFYFNQMP

1

3 F →NND 5 4 3 : 4 3 3 3 5 5 ; 5 5 4 3 F → F 4

Reduz ao mesmo denominador através do método do mínimo múltiplo comum. 3 F 4

3 F

3 , F 3

3 , F 4


269

PARTE

Fichas

3

'*$)"%&3&'03±0 Comparação de fracções N.O:

NOME:

TURMA:

DATA:

RECORDA

t 2VBOEPEVBTPVNBJTGSBDÎÜFTUÐNPNFTNPEFOPNJOBEPS ÏNBJPSBRVFUFNPNBJPSOVNFSBEPS 3 1PSFYFNQMP . t 2VBOEPEVBTPVNBJTGSBDÎÜFTUÐNJHVBMOVNFSBEPS ÏNBJPSBRVFUFNNFOPSEFOPNJOBEPS 1PSFYFNQMP . 4

1

Primeiro, escreve a fracção que representa a parte colorida de cada figura. Depois, compara e completa.

4

2

Primeiro, escreve a fracção que representa a parte de cada cor. Depois, compara e completa.

4

3

270

3

.

4

,

Escreve o sinal , ou . correspondente.

34

34


PARTE

'*$)"%&3&'03±0 Comparação de fracções com a unidade TURMA:

Fichas

N.O:

NOME:

3

DATA:

RECORDA

t 6NBGSBDÎÍPÏJHVBMËVOJEBEFTFPTFVOVNFSBEPSFPTFVEFOPNJOBEPSTÍPJHVBJT 3 1PSFYFNQMP 5 3 t 6NBGSBDÎÍPÏNFOPSEPRVFBVOJEBEFTFPOVNFSBEPSGPSNFOPSEPRVFPEFOPNJOBEPS 3 1PSFYFNQMP , t 6NBGSBDÎÍPÏNBJPSEPRVFBVOJEBEFTFPOVNFSBEPSGPSNBJPSEPRVFPEFOPNJOBEPS 1PSFYFNQMP . 3

1

Escreve a fracção que representa a parte colorida. Depois, compara-a com a unidade.

→

4 2

4

→

Representa cada fracção e completa.

→

3

→

→

→

4 →

→

4

→

Compara e escreve o sinal correspondente. 4

3 3


271

PARTE

3 Fichas

'*$)"%&3&'03±0 Percentagens N.O:

NOME:

TURMA:

DATA:

RECORDA

6NBQFSDFOUBHFNÏVNBGSBDÎÍPRVFUFNDPNPEFOPNJOBEPS

1

Completa a percentagem que está pintado de cada cor.

→

5→QPSDFOUP

→ 2

t

3

→

→

5

→

5 t 5

t

Escreve as seguintes percentagens em forma de fracção.

t 5

t 5

t 5

t 5

t 5

t 5

4

Completa a tabela.

1FSDFOUBHFN

-FJUVSB

QPSDFOUP

'SBDÎÍP

/ÞNFSPEFDJNBM

4JHOJGJDBEP

272

5

Escreve cada fracção em forma de percentagem. 34 5 t 5

→

5

→

FNDBEB


QPSDFOUP

PARTE

'*$)"%&3&'03±0 Frequência absoluta e frequência relativa TURMA:

Fichas

N.O:

NOME:

3

DATA:

RECORDA

t "frequência absolutaEFVNEBEPÏPOÞNFSPEFWF[FTFNRVFFMFBQBSFDF t "frequência relativaEFVNEBEPÏPRVPDJFOUFFOUSFPOÞNFSPEFWF[FTFNRVFFMFBQBSFDF FPOÞNFSPUPUBMEFEBEPT

1

Completa a tabela de frequências com os seguintes dados.

*EBEFEPTKPHBEPSFTEFVNBFRVJQBEFSÉHVFCJ

2

'SFRVÐODJBBCTPMVUB

→5PUBM

'SFRVÐODJBSFMBUJWB

→5PUBM

Observa quais são as comidas preferidas de 12 alunos e completa a tabela de frequências. QBFMIBNBTTBNBTTBNBTTB NBTTBQBFMIBNBTTBQBFMIB DP[JEPNBTTBQBFMIBDP[JEP

$PNJEB

3

'SFRVÐODJBBCTPMVUB

→5PUBM

'SFRVÐODJBSFMBUJWB

→5PUBM

Observa quais são os desportos preferidos de um grupo de amigos e constrói a tabela de frequências. GVUFCPMGVUFCPMCBTRVFUFCPMUÏOJTCBTRVFUFCPM CBTRVFUFCPMCBTRVFUFCPMUÏOJTCBTRVFUFCPMGVUFCPM

→5PUBM →5PUBM


273

PARTE

3 Fichas

'*$)"%&3&'03±0 Média N.O:

NOME:

TURMA:

DATA:

RECORDA

1BSBDBMDVMBSBNÏEJBEFVNDPOKVOUPEFEBEPT QSJNFJSPNVMUJQMJDBNPTDBEBEBEPQFMPOÞNFSP EFWF[FTRVFBQBSFDFFTPNBNPTFTTFTQSPEVUPT%FQPJT EJWJEJNPTFTTBTPNBQFMPOÞNFSPUPUBM EFEBEPT

1

Calcula em cada caso a média que se indica. D

D N

N

DN

LH

LH

t 4PNBEPTDPNQSJNFOUPT

→115

t /ÞNFSPEFDBSSJOIPTEFMJOIBT

→

t $PNQSJNFOUPNÏEJP

→

5

DN

DN

Peso médio

LH

LH

Comprimento médio

t 4PNBEPTQFTPT

→

t /ÞNFSPEFQBDPUFT

→

t 1FTPNÏEJP

→

Capacidade média D-

D-

t 4PNBEBTDBQBDJEBEFT

→

t /ÞNFSPEFSFDJQJFOUFT → D-

2

t $BQBDJEBEFNÏEJB

D-

→

Resolve. t 2VBMÏBBMUVSBNÏEJBEFTUBTÈSWPSFT N

N

N

N

t 2VBMBJEBEFNÏEJBEFTUBTQFTTPBT N

BOPT

274


BOPT

BOPT

BOPT

PARTE

3

'*$)"%&3&'03±0 Média e moda TURMA:

Fichas

N.O:

NOME:

DATA:

RECORDA

t " médiaEFVNDPOKVOUPEFEBEPTPCUÏNTFBPEJWJEJSBTPNBEPTQSPEVUPTEFDBEBEBEPQFMBTVB GSFRVÐODJBBCTPMVUBFOUSFPOÞNFSPUPUBMEFEBEPT t "modaÏPEBEP PVEBEPT DPNNBJPSGSFRVÐODJBBCTPMVUB 1

Observa quantos livros leram os alunos este ano, e calcula a média e a moda.

:

3

3

4

4

5 5

t .PEB 2

Observa quais são as idades dos primos do Jaime, e calcula a média e a moda das idades. *EBEFTEPTQSJNPTEP+BJNF

'SFRVÐODJBBCTPMVUB

3

5

t .ÏEJB 31 :

5

t .PEB 3

Observa quantos quilos de fruta uma família consumiu durante 12 semanas, e calcula a média e a moda. 2VJMPTEFGSVUB

'SFRVÐODJBBCTPMVUB

4

3

3

5

t .ÏEJB :

'SFRVÐODJBBCTPMVUB

t .ÏEJB 13 3 1

/ÞNFSPEFMJWSPT

5

t .PEB %&4"'*04 t .BUFNÈUJDB t oBOP t .BUFSJBMGPUPDPQJÈWFMª4BOUJMMBOB$POTUÉODJB

275

PARTE

3 Fichas

'*$)"%&3&'03±0 Aproximações de números decimais N.O:

NOME:

TURMA:

DATA:

RECORDA

t 1BSBBQSPYJNBSËTunidades EFWFTFPCTFSWBSPBMHBSJTNPEBTEÏDJNBTTFGPSNBJPSPVJHVBMB BVNFOUBTFBPBMHBSJTNPEBTVOJEBEFTTFGPSNFOPSEPRVF PBMHBSJTNPEBTVOJEBEFTGJDBJHVBM t 1BSBBQSPYJNBSËTdécimas EFWFTFPCTFSWBSPBMHBSJTNPEBTDFOUÏTJNBTTFGPSNBJPSPVJHVBMB BVNFOUBTFBPBMHBSJTNPEBTEÏDJNBTTFGPSNFOPSEPRVF PBMHBSJTNPEBTEÏDJNBTGJDBJHVBM t 1BSBBQSPYJNBSËTcentésimas EFWFTFPCTFSWBSPBMHBSJTNPEBTNJMÏTJNBTTFGPSNBJPSPVJHVBMB BVNFOUBTFBPBMHBSJTNPEBTDFOUÏTJNBTTFGPSNFOPSEPRVF PBMHBSJTNPEBTDFOUÏTJNBTGJDB JHVBM

1

Aproxima às unidades cada um destes números decimais.

t →

t →

t →

t →

t →

t →

2

Aproxima às décimas cada um destes números decimais.

t →

t →

t →

t →

t →

t →

3

Aproxima às centésimas cada um destes números decimais.

t →

t →

t →

t →

t →

t →

4

Completa a tabela. "1309*."±°0 ÀS UNIDADES

"1309*."±°0 ®4%²$*."4

276


"1309*."±°0 ®4$&/5²4*."4

PARTE

3

'*$)"%&3&'03±0 Submúltiplos do metro TURMA:

Fichas

N.O:

NOME:

DATA:

RECORDA

0TTVCNÞMUJQMPTEPNFUSPTÍPPdecímetro, o centímetroFPmilímetro N5ENN5DNN5NN

1

Completa o esquema com o sinal correspondente. N

2

EN

DN

NN

Completa.

t N5 4 35

EN

t N5

DN

t N5

NN

t N5

EN

t N5

DN

t N5

NN

t N5

EN

t N5

DN

t N5

NN

t N5

EN

t N5

DN

t N5

NN

N

EN

DN

3

Completa o esquema com o sinal correspondente.

4

Completa.

NN

t EN55

N

t DN5

t NN5

N

t EN5

N

t DN5

t NN5

N

t EN5

N

t DN5

t NN5

N

t EN5

N

t DN5

t NN5

N

5

N

N

N

N

Expressa em metros.

t EN DNFNN5

N

t N DNFNN5

N

t EN DNFNN5

t N EN DNFNN5

N N


277

PARTE

3 Fichas

'*$)"%&3&'03±0 Relações entre as unidades de comprimento N.O:

NOME:

TURMA:

DATA:

RECORDA 3

3 IN

km

1

dam

3 m

3 dm

3 cm

mm

Responde.

t 2VFPQFSBÎÍPTFEFWFSFBMJ[BSQBSBQBTTBSEFEFDÉNFUSPTBNJMÓNFUSPT

t 1 PSRVFOÞNFSPTFEFWFEJWJEJSQBSBQBTTBSEFIFDUØNFUSPTBRVJMØNFUSPT &QBSBQBTTBSEF DFOUÓNFUSPTBEFDÉNFUSPT

t 2VFPQFSBÎÍPTFEFWFSFBMJ[BSQBSBQBTTBSEFNJMÓNFUSPTBEFDÓNFUSPT

t 1PSRVFOÞNFSPTFEFWFNVMUJQMJDBSQBSBQBTTBSEFIFDUØNFUSPTBEFDÓNFUSPT

2

Completa.

t LN5

N

t N5

IN

t EN5

DN

t DN5

N

t EN5

NN

t EBN5

IN

t IN5

EN

t DN5

EN

t NN5

EBN

t NN5

N

t EBN5

LN

t DN5

EBN

3

Completa. &NDFOUÓNFUSPT

NFEN5

278

3

&NNJMÓNFUSPT

ENFDN5


&NEFDÉNFUSPT

LNFN5

PARTE

'*$)"%&3&'03±0 O perímetro da circunferência TURMA:

Fichas

N.O:

NOME:

3

DATA:

RECORDA

O perímetro da circunferênciaÏJHVBMBPQSPEVUPEF QFMPTFVEJÉNFUSP C 5 p 3 d 53 p 3 r

1

Em cada caso, mede o diâmetro e calcula o perímetro da circunferência.

t d 5

t P 5 3 2

t d 5

DN 5

t P 5 3

DN

Calcula.

t 0QFSÓNFUSPEFVNBDJSDVOGFSÐODJBDPNDNEFSBJP

t 0QFSÓNFUSPEFVNBDJSDVOGFSÐODJBDPNDNEFEJÉNFUSP

t 0QFSÓNFUSPEFVNBDJSDVOGFSÐODJBDPNDNEFEJÉNFUSP

t 0QFSÓNFUSPEFVNBDJSDVOGFSÐODJBDPNDNEFSBJP

3

Lê e resolve

0TPSHBOJ[BEPSFTEFVNDBNQFPOBUPRVFSFN QÙSVNBCBSSBEFGJUBWFSNFMIBOBUBÎBRVFTF FOUSFHBSÈËFRVJQBWFODFEPSB → 4FBUBÎBNFEFDNEFEJÉNFUSP RVBOUPT DFOUÓNFUSPTEFGJUBWFSNFMIBTFSÍP OFDFTTÈSJPT


279

PARTE

3 Fichas

'*$)"%&3&'03±0 Relações entre unidades de superfície N.O:

NOME:

TURMA:

DATA:

RECORDA

"TVOJEBEFTEFTVQFSGÓDJFFBTSFMBÎÜFTFOUSFFMBTTÍPBTTFHVJOUFT 1BSBQBTTBSEFVNBVOJEBEFQBSBPVUSBNFOPS NVMUJQMJDBTF 3 km2

3 IN2

3 dam2

3 m2

3 dm2

3 cm2

mm2

1BSBQBTTBSEFVNBVOJEBEFQBSBPVUSBNBJPS EJWJEFTF

1

Completa o esquema das unidades de superfície.

2

Escreve a operação que se deve fazer para passar de uma unidade para outra.

t %FEBNBEN →.VMUJQMJDBSQPS

t %FINBN

t %FEN BEBN →

t %FLNBIN →

3

→

Completa.

t LN 5

EBN

t DN 5

EN

t LN 5

EN

t DN 5

IN

t N 5

IN

t EN 5

EBN

4

Lê e resolve.

0-VÓTUFNVNUFSSFOPDPN INRVF QSFUFOEFEJWJEJSFNQBSDFMBTJHVBJT 2VBOUPTNFUSPTRVBESBEPTNFEJSÈDBEBQBSDFMB

280


→

PARTE

3

'*$)"%&3&'03±0 Unidades de superfície TURMA:

Fichas

N.O:

NOME:

DATA:

RECORDA

O metro quadrado, o decímetro quadradoFPcentímetro quadradoTÍPVOJEBEFTEFTVQFSGÓDJF N 5ENEN 5DNN 5DN

1

Responde.

t 2VBJTTÍPBTVOJEBEFTEFTVQFSGÓDJF

t 2VFPQFSBÎÍPUFOTEFSFBMJ[BSQBSBQBTTBSEFNQBSBDN

t 1PSRVFOÞNFSPUFOTEFEJWJEJSQBSBQBTTBSEFENBN

2

Completa.

t N 5 3 35

EN t N 535

t EN 535

DN

t N 5

EN t N 5

DN

t EN 5

DN

t EN 5

DN

t DN 55

N

3

t EN 5

DN

Completa.

t EN 55

N

t DN 55

EN t DN 5

t EN 5

N

t DN 5

EN t DN 5

4

DN

EN

t DN 5

N EN

Determina a área de cada figura em cm2, sabendo que o lado de cada quadrado mede 1 cm.

«SFB5

DN

«SFB5

DN

«SFB5

DN


281

PARTE

3 Fichas

'*$)"%&3&'03±0 Base e altura de triângulos e paralelogramos N.O:

NOME:

TURMA:

DATA:

RECORDA Altura

t "baseEFVNUSJÉOHVMPPVEFVNQBSBMFMPHSBNPÏRVBMRVFSVN EPTTFVTMBEPT

Base

t "alturaEFVNUSJÉOHVMPPVEFVNQBSBMFMPHSBNPÏVN TFHNFOUPQFSQFOEJDVMBSBVNBCBTFPVBPTFVQSPMPOHBNFOUP USBÎBEPEFTEFPWÏSUJDFPQPTUP

Altura Base

1

1JOUBBWFSNFMIPBCBTFFBB[VMBBMUVSB

2

Para cada caso, traça a altura correspondente ao lado AB.

/ÍPUFFTRVFÎBTEFVUJMJ[BSVNFTRVBESP C

C

A

3

B

B

B

A

Para cada caso, traça a altura correspondente à base AB desde o vértice D. /ÍPUFFTRVFÎBTEFVUJMJ[BSVNFTRVBESP C

A

282

A

C

D

B

C

D

A

B


C

A

D

B

PARTE

'*$)"%&3&'03±0 A área do quadrado e do rectângulo TURMA:

Fichas

N.O:

NOME:

3

DATA:

RECORDA

t "área do quadradoÏJHVBMBPQSPEVUPEPTFVMBEPQPSTJNFTNP t "área do rectânguloÏJHVBMBPQSPEVUPEPTFVDPNQSJNFOUPQFMBTVBMBSHVSB

Considera a medida dos lados de cada polígono e completa.

DN

1

DN

t $PNQSJNFOUP→

t -BSHVSB→

t «SFB→3 2

DN

DN DN

DN 5

t «SFB→3

5

DN

DN

Mede com uma régua os lados do cada polígono e calcula a sua área.

t -BEP→

DN

t «SFB→

5

3

t -BEP→

t $PNQSJNFOUP→

DN

DN

t -BSHVSB→

t «SFB→

DN 5

DN

Lê e resolve.

0MBEPEFVNRVBESBEPNFEFDN 2VBMÏBTVBÈSFBFNDN

→

0DPNQSJNFOUPEFVNSFDUÉOHVMP NFEFDNFBMBSHVSBNFEFDN 2VBMÏBTVBÈSFBFNDN

→


283

PARTE

Fichas

3

'*$)"%&3&'03±0 Área do triângulo N.O:

NOME:

TURMA:

DATA:

RECORDA

A área do triânguloÏPQSPEVUPEBTVBCBTFQFMBBMUVSBEJWJEJEPQPS Área do triângulo 5

1

2

Mede com uma régua e completa.

t b 5

DN

t h 5

DN

t «SFB5

t b 5

DN

t h 5

DN

t «SFB5

t b 5

DN

t h 5

DN

t «SFB5

DN

DN

DN

Lê e calcula a área dos seguintes triângulos. b 5 DNh 5 DN

284

b 3h


b 5DNI5 DN

PARTE

3

'*$)"%&3&'03±0 Área de uma figura TURMA:

Fichas

N.O:

NOME:

DATA:

RECORDA

1BSBNFEJSBÈSFBEFVNBGJHVSB FTDPMIFTFVNRVBESBEPDPNPVOJEBEFFDPOUBTFRVBOUPT RVBESBEPTVOJEBEFPDVQBBGJHVSB &TUBNFEJEBÏBÈSFBEBGJHVSB

1

Conta os quadrados unidade e completa a área da cada figura.

5 «SFB5 2

5

«SFB5

«SFB5

«SFB5

«SFB5

Determina a área das seguintes figuras.

«SFB5 3

5

%FTFOIBBTTFHVJOUFTGJHVSBT t 6NBGJHVSBRVFUFOIBNFJPTRVBESBEPTQFRVFOPTFBTVBÈSFBTFKBEFRVBESBEPTQFRVFOPT t 6NBGJHVSBRVFUFOIBMJNJUFTDVSWPTFDVKBÈSFBTFKBEFRVBESBEPTQFRVFOPT t 6NBGJHVSBRVFUFOIBNFJPTDÓSDVMPTFDVKBÈSFBTFKBRVBESBEPTQFRVFOPT


285

PARTE

Fichas

3

'*$)"%&3&'03±0 A área de figuras compostas N.O:

NOME:

TURMA:

DATA:

RECORDA

1BSBDBMDVMBSBÈSFBEFVNBGJHVSBDPNQPTUB EFWFDBMDVMBSTFBÈSFBEFDBEBVNBEBTGJHVSBT RVFBDPNQÜFN1PSFYFNQMP DN

DN

t «SFBEPSFDUÉOHVMPDN3DN5DN

t «SFBEPRVBESBEPDN3DN5DN

t «SFBEBGJHVSBDN 1DN 5DN

DN DN

1

Calcula a área das seguintes figuras. DN DN

t «SFBEPSFDUÉOHVMPDN3

DN DN

t «SFBEPRVBESBEP t «SFBEBGJHVSB

DN5

DN3DN5 DN 1

DN DN

DN 5

DN

DN 5

DN

DN DN DN

t «SFBEP

:

t «SFBEP

:

t «SFBEBGJHVSB DN

t «SFBEP DN DN

:

t «SFBEP t «SFBEBGJHVSB

: DN 2

DN

DN DN

DN

t «SFBEP

:

t «SFBEP

:

t «SFBEBGJHVSB DN

286


PARTE

3

'*$)"%&3&'03±0 Área do círculo

Fichas

N.O:

NOME:

TURMA:

DATA:

RECORDA

A área do círculoÏPQSPEVUPEPOÞNFSPpQFMPTFVSBJPBPRVBESBEP «SFBEPDÓSDVMP5 p 3 r

1

2

3

Traça o raio desta circunferência e completa.

t r 5

t «SFB5

DN DN

%FTFOIBDPNVNDPNQBTTPVNBDJSDVOGFSÐODJBEFDNEFSBJPFDBMDVMBBTVBÈSFB

t r 5

t «SFB5

DN DN

Lê e calcula a área dos seguintes círculos. 6NDÓSDVMPDPNDNEFEJÉNFUSP

6NDÓSDVMPDPNDNEFSBJP


287

PARTE

Fichas

3

Soluções das fichas de reforço UNIDADE 1 '*$)"%&3&'03±0

PÁG. 251

1

2

aresta face vértice

t 4 JN QPSRVFUPEBTBTGBDFTTÍPQPMÓHPOPTSFHVMBSFTJHVBJTFFNDBEBWÏSUJDFFODPOUSBNTFPNFTNP OÞNFSPEFGBDFT 3

POLIEDRO REGULAR

NÚMERO DE FACES

NÚMERO DE ARESTAS

NÚMERO DE VÉRTICES

5FUSBFESP

4

6

4

0DUBFESP

8

12

6

*DPTBFESP

20

30

12

$VCP

6

12

8

%PEFDBFESP

12

30

20

UNIDADE 2 '*$)"%&3&'03±0

PÁG. 252

1 ¡ ¡ ¡ 2 1 BSBUSBÎBSÉOHVMPTDPNNBJTEF¡ QPSFYFNQMPVNÉOHVMPEF¡ QSJNFJSPEFTFOIBTFVNÉOHVMP EF¡FEFQPJTUSBÎBTFVNÉOHVMPEF¡ ¡2¡ DPNPNFTNPWÏSUJDF

'*$)"%&3&'03±0

PÁG. 253

1 3FTQPTUBHSÈGJDB 2 3FTQPTUBTHSÈGJDBT

288


'*$)"%&3&'03±0

PARTE

PÁG. 254

3

t 4VQMFNFOUBS t ¬OHVMPCμ 5¡ μ 5¡2 100° 5¡ t ¬OHVMPD

t $PNQMFNFOUBS t ¬OHVMPF$ 5¡ t ¬OHVMPGμ 5¡2¡5¡

Fichas

1 t $PNQMFNFOUBS t ¬OHVMPAμ 5¡ t ¬OHVMPB$ 5¡2¡5¡

2 ¬ OHVMPDPNQMFNFOUBS5¡2¡5¡ ¬OHVMPTVQMFNFOUBS5¡2¡5¡

'*$)"%&3&'03±0 1 t t t t t

3BJP $FOUSP $PSEB "SDP %JÉNFUSP

2 t t t t

$FOUSP %JÉNFUSP 3BJP $PSEB

PÁG. 255

6/*%"%& '*$)"%&3&'03±0 1 t t t t

PÁG. 256

%JWJTPSFTEF %JWJTPSFTEF %JWJTPSFTEF %JWJTPSFTEF

2 % JWJTPSFTEF "1BVMBQPEFGB[FSNPOUFTEF PVDSPNPT

'*$)"%&3&'03±0

PÁG. 257

1 % JWJTPSFTEF %JWJTPSFTEF %JWJTPSFTEF %JWJTPSFTEF 2 t ÏNÞMUJQMPEFFÏEJWJTPSEF t ÏNÞMUJQMPEFFÏEJWJTPSEF t ÏNÞMUJQMPEFFÏEJWJTPSEF


289

PARTE

3 Fichas

3 7 FSNFMIP "[VM t 4BÓVP t 0OÞNFSPÏEJWJTPSEFFEF

'*$)"%&3&'03±0

PÁG. 258

1 t %JWJTPSFTEF t %JWJTPSFTEF t %JWJTPSFTEF

t 0TOÞNFSPTQSJNPTTÍP F QPSRVFBQFOBTUÐNEPJTEJWJTPSFTPFFMFTNFTNPT t 0TOÞNFSPTDPNQPTUPTTÍP F QPSRVFUÐNNBJTEFEPJTEJWJTPSFT 2 t t t t t

1 3 5 3 6 2 2 5 325 313 2 13 6 5 1 2 3 1 26 2 5

7

2

0

7

1

7

6

2

6

1

0

1

3 &TUFTOÞNFSPTTÍPQSJNPTQPSRVFTØUÐNEPJTEJWJTPSFT

'*$)"%&3&'03±0 1 t t t t

PÁG. 259

.ÞMUJQMPTEF .ÞMUJQMPTEF .ÞMUJQMPTEF .ÞMUJQMPTEF

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PÁG. 261

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Equipa Júpiter

Equipa Saturno

A pontuação da Ana foi a diferença entre soma de 52 com 63 e a soma de 75 com 26.

O quociente da diferença entre 634 e 426 por 26 foi a pontuação da Laura.

O Jorge obteve a soma do triplo de 9 com o produto de 16 por 38.

A Helena obteve a diferença entre o dobro de 48 e o produto de 7 por 12.

O Luís atingiu o dobro da diferença entre 125 e 98.

O Ivo obteve a diferença entre a soma de 316 com 45, pelo produto de 25 por 3.

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EQUIPA SATURNO

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TURMA:

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50 000 L 45 000 L

Litros de água por ano 225 210 195 180 165 150 135 120 105 90 75 60 45 30 15 5

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40 000 L Bebida Lava-loiça 1.º

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321

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4

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4 BCFOEPRVFPBOÞODJPPDVQBPFTQBÎPEFNØEVMPT JOEJDBRVBOUBTIJQØUFTFTEJGFSFOUFTTFBQSFTFOUBN FRVBOUPQBHBSJBP'JMJQFQPSDBEBVNBEFMBT HORÁRIO RÉGUA-PORTO-RÉGUA Localidade

(1)

(2)

(2)

(3)

3ÏHVB

&SNJEB

.PTUFJSP

.BSDPEF$BOBWFTFT

-JWSBÎÍP

1FOBGJFM

1BSFEFT

&SNFTJOEF

1PSUP$BNQBOIÍ

1PSUP4ÍP#FOUP

Observações: &YDFQUPEPNJOHPT %JÈSJP 4ØTFFGFDUVBBPTTÈCBEPT EPNJOHPTFGFSJBEPT PGJDJBJT (1)

(1)

(1)

(1)

1PSUP4ÍP#FOUP

Localidade

1PSUP$BNQBOIÍ

&SNFTJOEF

1BSFEFT

1FOBGJFM

-JWSBÎÍP

.BSDPEF$BOBWFTFT

.PTUFJSP

&SNJEB

3ÏHVB

Observações: %JÈSJP


325

PARTE

Mais recursos

4


N.O:

563.":

%"5":

0$-6#&%&+03/"-*4.0 ²PQSJNFJSPBOPFNRVFP$MVCFEF+PSOBMJTNPGVODJPOB OBFTDPMBEB+PBOB0TRVJO[FBMVOPTJOTDSJUPTTFOUFNTF CBTUBOUFFYDJUBEPTGJOBMNFOUFWÍPMBOÎBSPKPSOBMEB FTDPMB "MÏNEPIPSÈSJPOPSNBMEFGVODJPOBNFOUP ËTRVJOUBTEBTIËTI UPEPTTFUÐNSFVOJEP UBNCÏNËTRVBSUBT NFJBIPSBSPVCBEBBPJOUFSWBMP EPBMNPÎP FËTTFYUBT BQØTBTBVMBT EBTI ËTI-BOÎBSVNKPSOBMOÍPÏCSJODBEFJSB %FQPJTEFNVJUBEJTDVTTÍP GPJEFDJEJEPRVFQBSB FTUFQSJNFJSPOÞNFSPBTFSMBOÎBEPUPEBTBTUVSNBT TFSJBNDPOWJEBEBTBSFMBUBSBMHVNFQJTØEJPJOUFSFTTBOUF RVFTFUJWFTTFQBTTBEPDPNBUVSNB "UFOÎÍPBPFTQBÎPDPNWJOUFFVNBUVSNBT BT OPTTBT PJUP QÈHJOBT QPEFN OÍP DIFHBS BWJTPV B+PBOB &OUÍP DPNPJUPQÈHJOBTBQSFFODIFS DBEBUVSNBGJDB DPNy"KVEBBÓ .ÈSJPRVBOUPEÈBEJWJEJSQPS B5FSFTBBUSBQBMIBWBTF TFNQSFDPNB.BUFNÈUJDB FSBTBCJEP 0JUP OÍP1SFDJTBNPTQFMPNFOPTEFVNBQÈHJOBQBSBPFEJUPSJBMFOPUÓDJBTJOUFSOBT OÍPBDIBN &OUÍP TÍPTFUFQÈHJOBTQBSBWJOUFFVNBUVSNBTBTTJNÏNBJTGÈDJM EÈVNUFSÎPEFQÈHJOBQBSBDBEB UVSNBDPODMVJVB+PBOB %VBTTFNBOBTEFQPJT UJOIBNDPOTFHVJEPBDPMBCPSBÎÍPEFRVBTFEBTUVSNBTEBFTDPMB "UFOÎÍPBPUFYUPEP$ UFNNBJTEFNFJBQÈHJOB/BWFSEBEF TPCSBBQFOBTVNRVBSUPEFTUBQÈHJOB FOÍPUFNPTOFOIVNUFYUPRVFDBJCBBRVJOPSFTUBOUFFTQBÎP .BTUFNPTFTUBCBOEBEFTFOIBEBEP"4ÍPPJUPWJOIFUBTFTFNVEBSNPTBQPTJÎÍP TFNBMUFSBS BTFRVÐODJB DBCFBÓEFDFSUF[B 0MIFN P"NBOEPVVNBGPUPHSBGJBEPDPMFHBRVFWFODFVPDPSUBNBUP+ÈNFEJ PDVQBVNRVJOUP EFQÈHJOB UBOUPRVBOUPBEBFRVJQBEP' RVFHBOIPVBQSPWBEFFTUBGFUBT1PEFNPTQÙMBTMBEPBMBEP FDPMPDBSFNCBJYP OFTTBQÈHJOB BRVFMBIJTUØSJBFOHSBÎBEBEP# OÍPBDIBN

326

1

*OEJDBRVBOUPTNJOVUPTQPSTFNBOBTÍPEFEJDBEPTOPSNBMNFOUFBP$MVCFEF+PSOBMJTNP

2

$BMDVMBRVBOUPUFNQPFTUÍPBHPSBBEFEJDBSBP$MVCFPTTFVTNFNCSPT

3

/BTÏUJNBMJOIBFNQSFHBTFBFYQSFTTÍPjNFJBIPSBx&TDSFWFNFJBIPSBEFUSÐTNBOFJSBT EJGFSFOUFTVUJMJ[BOEPTFNQSFBMHBSJTNPT

4

+VTUJGJDBPSBDJPDÓOJPEB+PBOBRVBOEPFMBEJ[RVFDBEBUVSNBUFNEJSFJUPBVNUFSÎPEFQÈHJOB

5

*OEJDBRVBOUBTUVSNBTKÈUFSJBNBTTFHVSBEPBTVBDPMBCPSBÎÍPBPGJNEBTEVBTTFNBOBT

6

&TDSFWFBGSBDÎÍPEBQÈHJOBRVFDPSSFTQPOEFËQBSUJDJQBÎÍPEP$

7

$BMDVMBFNRVBOUPP$FYDFEFVPFTQBÎPRVFMIFFSBEFTUJOBEP DPOTJEFSBOEPRVF BDPOUSJCVJÎÍPDBMDVMBEBQBSBDBEBUVSNBDPSSFTQPOEJBBVNUFSÎPEFQÈHJOB


PARTE

FOEPFNDPOUBBÈSFBEBQÈHJOBRVFBCBOEBEFTFOIBEBPDVQB JOEJDBRVFGSBDÎÍPEBQÈHJOB 5 ÏPDVQBEBQPSDBEBVNBEBTPJUPWJOIFUBTEP"

9

*OEJDBBGSBDÎÍPEBQÈHJOBRVFÏPDVQBEBDPNBTGPUPHSBGJBTQSPWFOJFOUFTEP'FEP"

4 Mais recursos

8

10 $BMDVMBBGSBDÎÍPEBQÈHJOBRVFÏPDVQBEBQFMBQBSUJDJQBÎÍPEP# 11 ' B[VNFTRVFNBEBQÈHJOBRVFJSÈDPOUFSBTQBSUJDJQBÎÜFTEBTUVSNBT' "F#FBTTJOBMB OFTTFFTRVFNBRVBMÏBQFSDFOUBHFNEBQÈHJOBPDVQBEBQPSDBEBVNBEBTUSÐTUVSNBT 12 0 TNFNCSPTEP$MVCFDPOTVMUBSBNWÈSJPT KPSOBJTFTDPMBSFTBOUFTEFMBOÎBSFNNÍPTËPCSB /BTBMBPOEFTFSFÞOFN QPEFWFSTFBJOEBVNB GPMIBEVQMBEFVNKPSOBMRVFDPOTJEFSBSBN JOUFSFTTBOUF&TTBGPMIBEVQMBUFNBTQÈHJOBT OVNFSBEBT F %FTDPCSFRVBOUBTQÈHJOBTUFSJBFTTFKPSOBM &YQMJDBPUFVSBDJPDÓOJPPVKVTUJGJDBPBUSBWÏTEF FTRVFNBT 13 2 VBOEPEJTDVUJBNPQSFÎPBRVFWFOEFSJBN PKPSOBM B+PBOBEFVDPNPFYFNQMPVNKPSOBM EFPVUSBFTDPMB DPNNVJUPNBJTQÈHJOBT FDVKP QSFÎPFSBEF û 0TDPMFHBTRVFSJBNTBCFSRVBOUBTQÈHJOBTUJOIBFTTFKPSOBM NBTB+PBOBOÍPTBCJBSFTQPOEFS QPJTUJOIBBQFOBTVNBGPMIBEVQMBDPNBTQÈHJOBT F

7 FSJGJDBRVBOUBTQÈHJOBTUFSJBFTTFKPSOBM

+ ÈRVFPKPSOBMEBFTDPMBEB+PBOBUFNNFOPTQÈHJOBT JOEJDBPQSFÎPRVFDPOTJEFSBTBEFRVBEP QBSBBTVBWFOEB SFMBDJPOBOEPPDPNPQSFÎPEFTTFPVUSPKPSOBM

14 " DPOUSJCVJÎÍPEP"GPJVNBDIBSBEBNBUFNÈUJDB7ÐTFDPOTFHVFTSFTPMWÐMB TBCFOEPRVF QBSBUPSOBSDFSUBDBEBVNBEBTJHVBMEBEFT TØQPEFTEFTMPDBSVNGØTGPSP


327

PARTE

4 Mais recursos

'*$)" .BUFNÈUJDBOPEJBBEJB N.O:

/0.&:

563.":

%"5":

6."%Á;*"%&.".¶'&304

0RVBESPBQSFTFOUBJOGPSNBÎÜFTWÈSJBTFNSFMBÎÍPBBMHVOTBOJNBJT Comprimento do macho adulto (metros)

Peso do macho adulto (quilos)

Velocidade de locomoção máxima (km/h)

Regime alimentar

Período de gestação (meses)

Longevidade (anos)

)FSCÓWPSP

$BTUPS

)FSCÓWPSP

$PBMB

&MFGBOUFBGSJDBOP

)FSCÓWPSP

(JSBGB

)FSCÓWPSP

)JFOB

-FÍP

$BNFMPCBDUSJBOP

328

3JOPDFSPOUF

$BSOÓWPSP

5JHSF

6STPQPMBS

7FBEP

;FCSB

)FSCÓWPSP

1

$PNQMFUBPRVBESPJOEJDBOEPPSFHJNFBMJNFOUBSEPTBOJNBJTPOEFPNFTNPOÍPFTUÈSFHJTUBEP

2

PEPTPTBOJNBJTSFGFSJEPTTÍPNBNÓGFSPT 5 *OEJDBRVFDBSBDUFSÓTUJDBTEJTUJOHVFNPTNBNÓGFSPTEPTPVUSPTBOJNBJT

3

%PTBOJNBJTSFGFSJEPT JEFOUJGJDBPNBJTQFRVFOP

4

3FGFSFBEJGFSFOÎBRVFFYJTUFFOUSFPTDPNQSJNFOUPTEPSJOPDFSPOUFFEPUJHSF

5

FEJTTFSNPTRVFPQFTPNÏEJPEFVNBIJFOBNBDIPBEVMUBÏEFRVJMPT FTUBNPTBBSSFEPOEBS 4 QPSFYDFTTPPVQPSEFGFJUP

6

* OEJDBBEJGFSFOÎBEFQFTPFOUSF BHJSBGBFPDBNFMPCBDUSJBOP


PARTE

*OEJDB QPSPSEFNEFDSFTDFOUF PTDJODPBOJNBJTNBJTQFTBEPT

8

*EFOUJGJDBPTBOJNBJTNBJTWFMP[FT

9

BSFDFUFIBWFSBMHVNBQPTTÓWFMSFMBÎÍPFOUSFPSFHJNFBMJNFOUBSEPTBOJNBJTFBTVBWFMPDJEBEF 1 EFMPDPNPÎÍP +VTUJGJDBBUVBSFTQPTUB

4 Mais recursos

7

10 " OBMJTBPRVFTJHOJGJDBEJ[FSRVFjBWFMPDJEBEFNÈYJNBEPDBNFMPCBDUSJBOPÏEFRVJMØNFUSPT QPSIPSBx 11 *EFOUJGJDBPBOJNBMRVFBQSFTFOUBVNBFTQFSBOÎBEFWJEBNBJTQSØYJNBEBEP)PNFNFBRVFMFT 1 BOJNBJTDVKBFTQFSBOÎBEFWJEBÏEFDFSDBEF EBEP)PNFN 4 12 0 QFSÓPEPEFHFTUBÎÍPEPUJHSFÏEF NFTFT $BMDVMBBRVBOUPTEJBTDPSSFTQPOEF BQSPYJNBEBNFOUF

13 3FGFSFRVBMÏPBOJNBMRVFBQSFTFOUBPQFSÓPEPEFHFTUBÎÍPNBJTDVSUP 14 *OEJDBRVBMBQSFTFOUBPQFSÓPEPEFHFTUBÎÍPNBJTMPOHP 15 *EFOUJGJDBVNBOJNBMDVKPQFSÓPEPEFHFTUBÎÍPTFKBTFNFMIBOUFBPEP)PNFN 16 0SEFOBPTDPNQSJNFOUPTJOEJDBEPT PSHBOJ[BOEPPTQSJNFJSPOVNEJBHSBNBEFDBVMFFGPMIBT 17 $ PQJBPRVBESP DPNQMFUBPFGB[VNHSÈGJDPEFCBSSBTSFMBUJWPBPDPNQSJNFOUPEPTBOJNBJT JOEJDBEPT "OJNBM

$PNQSJNFOUP

$BNFMPCBDUSJBOP $BTUPS )JFOB 6STPQPMBS 7FBEP


329

PARTE

Mais recursos

4


N.O:

563.":

%"5":

6.'*.ű%&ű4&."/"/"$045"7*$&/5*/" 2VFSJEPEJÈSJP "DBCÈNPTEFSFHSFTTBSEPGJNEFTFNBOB FNBMQPTTPFTQFSBSQBSBDPOUBSUVEPPRVFTF QBTTPV 2VBOEPPQBJEJTTFRVFÓBNPTWJTJUBSBUJB BWØRVFWJWFFN"MKF[VS QFOTFJRVFJBTFSVNB TFDB USÐTEJBTNFUJEPTFNDBTBTFNOBEBQBSB GB[FS0QBJJOTJTUJVRVFMFWÈTTFNPTBTCJDJDMFUBT FBJOEBCFN0QSJNP/VOPUFNNBJTPVNFOPT BOPTTBJEBEFFMFWPVOPTBQSBJBTGBOUÈTUJDBT $PNPTØDPOIFDÓBNPTB[POBFOUSF"MCV GFJSBF1PSUJNÍP GJRVFJFTQBOUBEBQPSEFTDPCSJS VN"MHBSWFUÍPEJGFSFOUF DPNQPVDPTUVSJTUBT FHSBOEFTQSBJBTEFTFSUBT$MBSPRVFOP7FSÍP UBNCÏNBRVJIÈNVJUBHFOUF NBTQFMPNFOPTBQBJTBHFNOÍPFTUÈJOWBEJEBQPSIPUÏJTFBQBSUBNFOUPT 5JWFNPTTPSUFDPNPUFNQP FTUBWBTPMFDÏVMJNQP%FQPJTEFQFEBMBSVNBTIPSBT TBCJBCFNEFTQJSBT DBNJTPMBTFGJDBSEFNBOHBDVSUB 1BSUJNPTEFDBTBËTEF[IPSBTEBNBOIÍFTØDIFHÈNPTB"MKF[VSQFMBTTFJTIPSBTEBUBSEF JTUPEFWJEPBP NBOJOIPRVFQFEJBQBSBJSËDBTBEFCBOIPEFEVBTFNEVBTIPSBT/FNQPTTPBDSFEJUBSRVFBRVFMFUJQPÏNFV JSNÍPHÏNFP'FMJ[NFOUFQPSUPVTFCFNOPGJNEFTFNBOBFOÍPMFWBOUPVNVJUBTPOEBT 0/VOPÏJNQFDÈWFM$POWJEPVOPTMPHPQBSBJSNPTOPEJBTFHVJOUFBUÏËQSBJBEB"NPSFJSB4BÓNPTEFDBTB MPHPBTFHVJSBPQFRVFOPBMNPÎPFGFMJ[NFOUFBBWØGF[OPTMFWBSVNBTTBOEFT QPJTTØWPMUÈNPTËIPSBEP BMNPÎP%FUBSEF PQBJMFWPVOPTBPDBTUFMP ËTJHSFKBTFBPNVTFV0DBTUFMPEBUBEPTÏDVMP X PUFNQPEPT «SBCFT/PNVTFVWJNPTWÈSJBTQFÎBTEPQFSÓPEPÈSBCFFPVUSBTQSÏIJTUØSJDBT"SFDPORVJTUBDSJTUÍEF"MKF[VSGPJ FNFPTFVQSJNFJSPGPSBMEBUBEF"*HSFKB.BUSJ[GPJDPOTUSVÓEBOPTÏDVMP XVIII BQØTPUFSSBNPUPEF UFSEFTUSVÓEPHSBOEFQBSUFEBWJMB /PEJBTFHVJOUFMFWÈNPTNBOUJNFOUPT QPJTP/VOPUJOIBQSPHSBNBEPVNEJBFNDIFJPTBÓNPTËTOPWF FVNRVBSUPFGPNPTBUÏ.POUF$MÏSJHP%FQPJTQBTTÈNPTQFMP7BMFEB5FMIB POEFUSBCBMIBB$MBSJTTF JSNÍEP /VOP%BÓGPNPTQBSBBQSBJBEB"SSJGBOB POEFGJ[FNPTPNFSFDJEPQJRVFOJRVF &SBNKÈRVBUSPFNFJBEBUBSEFRVBOEPSFHSFTTÈNPTBDBTBEPTUJPT/FTTBOPJUFGPNPTKBOUBSBP3PHJM NBT GFMJ[NFOUFOÍPUJWFNPTEFQFEBMBS GPNPTEFDBSSP0VNFMIPS WÈSJPTDBSSPT QPJT BMÏNEFNJN EP7BTDPFEP QBJ FTUBWBBUJB.BUJMEF PTTFVTUSÐTGJMIPTDPNBTSFTQFDUJWBTFTQPTBT FPTGJMIPTEFTUFT EPTRVBJTTØDPOIFDÓBNPT P/VOPFB$MBSJTTF RVFTÍPGJMIPTEPGJMIPNBJTOPWPEBUJB0TPVUSPTQSJNPTTÍPUPEPTNBJTWFMIPT DPNP B$MBSJTTF RVFUFN DPNPFMBEJ[RVBOEPMIFQFSHVOUBNBJEBEF jFNDBEBQFSOBx0GJMIPNBJTWFMIPEBUJBUFNGJMIPT UPEPT QSFTFOUFTOPKBOUBS FPEPNFJPUFN EPTRVBJTOÍPQÙEF FTUBSQSFTFOUF)BWJBBJOEBCFCÏT DPNBQFOBTTFNBOBT FPPVUSPDPNNFTFT CJTOFUPTEBUJB.BUJMEF&SBNVOTRVFSJEPT NFTNPGPGPT )PKFQBSUJNPTËIPSBEPBMNPÎP NBTBOUFTGJ[FNPTPQBJ QSPNFUFSRVFOP7FSÍPOPTEFJYBMÈWPMUBSQPSVNBTTFNBOBT "UÏËWJTUB $PTUB7JDFOUJOB

330


PARTE

BSFDFUFRVFFTUFEJÈSJPGPJFTDSJUPQPSVNSBQB[PVQPSVNBSBQBSJHB &NRVFCBTFJBTBUVB 1 PQJOJÍP

2

$BMDVMBRVBOUBTIPSBTEFNPSPVBWJBHFNBUÏ"MKF[VS

3

$POTVMUBPNBQBFJOEJDBRVBJTGPSBNBTEJTUÉODJBTQFSDPSSJEBT

4 Mais recursos

1

B OPQBTTFJPËQSBJBEB"NPSFJSB C OPQBTTFJPBP.POUF$MÏSJHPFË"SSJGBOB QBTTBOEPQPS7BMFEB5FMIB D OBJEBBP3PHJM 4

%FUFSNJOBBEVSBÎÍPEPQBTTFJPB.POUF$MÏSJHPFË"SSJGBOB

5

*OEJDBRVBOUBTQFTTPBTFTUBWBNQSFTFOUFTOPKBOUBSSFBMJ[BEPOP3PHJM

6

3FHJTUBRVBOUPTOFUPTUFNBUJBBWØ.BUJMEF

7

*OEJDBBJEBEFEBQSJNB$MBSJTTF

8

&YQSFTTBFNNFTFTBJEBEFEPCJTOFUPNBJTOPWPEBUJBBWØ.BUJMEF

9

*OEJDBRVFQBSUFEPBOPGBMUBQBTTBSQBSBRVFPCFCÏNBJTWFMIPDPNQMFUFBOPEFWJEB

10 / PUFYUPTÍPSFGFSJEBTWÈSJBTEBUBT *EFOUJGJDBPTÏDVMPFNRVFTFEFVBSFDPORVJTUBDSJTUÍEF"MKF[VS 11 *OEJDBRVBMGPJ

B PQSJNFJSPBOPEPTÏDVMPX C PÞMUJNPBOPEPTÏDVMPXVIII

12 5 FOEPFNDPOUBBEBUBFNRVF"MKF[VSSFDFCFVPTFVQSJNFJSPGPSBM UFOUBTBCFSRVFNGPJPSFJ RVFPDPODFEFV 13 1PSRVFTFDIBNBSÈ$PTUB7JDFOUJOBBFTUBSFHJÍP 14 %ÈPVUSPUÓUVMPBPUFYUP


331

PARTE

Mais recursos

4


N.O:

563.":

%"5":

6."4$035*/"4/07"4 5JOIBQFOTBEPBSSBOKBSVNBTDPSUJOBTOPWBT QBSBBTBMB /PIJQFSNFSDBEP POEFGVJOBUFSÎBGFJSB UJOIBNDPSUJOBTWFSEFTFBNBSFMBT NBTBDIFJ P UFDJEP NVJUP QFTBEP F DPNP BHPSB WFN P*OWFSOP RVFSJBVNBDPJTBNBJTMFWF5BNCÏN BDIFJDBSP û "DBCFJQPSDPNQSBSVNBFNCBMBHFNEF EFUFSHFOUF QBSB B NÈRVJOB RVF FTUBWB FN QSPNPÎÍP FNFJBEÞ[JBEFPWPT %FQPJT OBTFYUBGFJSB GVJBBMHVNBTMPKBTEP DFOUSP RVFBJOEBWFOEFNUFDJEPTBPNFUSP &ODPOUSFJEPJTUFDJEPTRVFNFBHSBEBWBN VNEFVNBTØDPS BMBSBOKBEP FPVUSPDPNVOT EFTFOIPTHFPNÏUSJDPT VOTRVBESBEPTDBTUBOIPT UFOEPDBEBVNOPDFOUSPVNDÓSDVMPMBSBOKB FEFOUSPEFDBEBDÓSDVMPVNUSJÉOHVMPBNBSFMPWJWP0QSJNFJSPFSBPNBJTDBSPB ûPNFUSP FORVBOUP PTFHVOEP PEPTEFTFOIPTHFPNÏUSJDPT DVTUBWB ûPNFUSP "DBCFJQPSFTDPMIFSPNBJTCBSBUPFDPNQSFJNFUSPT$PNQSFJBJOEB NEFGJUBEFGSBO[JSFVNDBSSJOIP EFMJOIBDBTUBOIBEFQPJTGVJËESPHBSJBDPNQSBSVNBDBJYBDPNBSHPMJOIBTEFQMÈTUJDP QBSBQFOEVSBSBT DPSUJOBT $MBSPRVFEFVNBJTUSBCBMIPGB[FSBTDPSUJOBTFNWF[EFBTDPNQSBSGFJUBT NBTQPVQFJEJOIFJSPFOFN JNBHJOBNDPNPBNJOIBTBMBFTUÈCPOJUB

"-ÐPUFYUPDPNNVJUBBUFOÎÍP

332

1

%ÈVNPVUSPUÓUVMPBPUFYUP

2

*OEJDBRVBOUPTEJBTTFQBTTBSBNFOUSFBNJOIBJEBBPIJQFSNFSDBEPFBJEBËTMPKBTEPDFOUSP

3

&YQMJDBPRVFTJHOJGJDBEJ[FSRVFVNBSUJHPFTUÈFNQSPNPÎÍP

4

$BMDVMBRVBOUPHBTUFJOPTNFUSPTEFUFDJEP

5

%FTFOIBDPNPJNBHJOBTUFPQBESÍPEBTNJOIBTDPSUJOBTOPWBT


PARTE

4 Mais recursos

#1BSBSFTQPOEFSFTËTSFTUBOUFTQFSHVOUBT UFSÈTEFDPOTVMUBSOÍPTØPUFYUPDPNP PTFHVJOUFCBODPEFEBEPT/ÍPUFFTRVFÎBTTFNQSFRVFGPSOFDFTTÈSJPGB[FS DPOUBT EFWFTJOEJDÈMBT BANCO DE DADOS )JQFSNFSDBEP )PSBBRVFDIFHVFJ

-PKBTEPDFOUSP I

)PSBBRVFDPNFDFJBTDPNQSBT

I

/ÞNFSPEFDPSUJOBTWFSEFT

1SFÎPEBGJUBEFGSBO[JS

/ÞNFSPEFDPSUJOBTBNBSFMBT

1SFÎPEPDBSSJOIPEFMJOIBT

û

1SFÎPEFVNBDBJYBEFBSHPMBTQMÈTUJDBT

û

1SFÎPEPEFUFSHFOUF

û

1FTPEPEFUFSHFOUF

LH

/ÞNFSPEFBSHPMBTQPSDBJYB

1SFÎPEPTPWPT EÞ[JB

û

%JTUÉODJBFOUSFBMPKBEFUFDJEPTFBESPHBSJB

/ÞNFSPEFDPSSFEPSFTOPIJQFSNFSDBEP $PNQSJNFOUPEPTDPSSFEPSFT )PSBBRVFTBÓ

ûNFUSP

NFUSPT

1SFÎPEPEFUFSHFOUFOBMPKBEBFTRVJOB

û

NFUSPT 1FTPEPEFUFSHFOUF I

)PSBBRVFUFSNJOFJBTDPNQSBT

LH I

1

* OEJDBRVBOUPTNFUSPT OPNÓOJNP BOEBVNBQFTTPBRVFQFSDPSSBUPEPTPTDPSSFEPSFT EPIJQFSNFSDBEP

2

$BMDVMBPQSFÎPEFDBEBRVJMPEFEFUFSHFOUFOPIJQFSNFSDBEP

3

PNQBSBPQSFÎPEPEFUFSHFOUFOPIJQFSNFSDBEPDPNPQSFÎPEPNFTNPBSUJHPOBMPKB $ EBFTRVJOB

4

7FSJGJDBRVBOUPTFHBTUBFNGJUBEFGSBO[JSDPNQSBOEP NFUSPT

5

$BMDVMBPUPUBMEBNJOIBEFTQFTBOPIJQFSNFSDBEP

6

$BMDVMBRVBOUPHBTUFJOBTNJOIBTDPSUJOBTOPWBT

7

*OEJDBRVBOUPUFNQPHBTUFJOPIJQFSNFSDBEP

8

7FSJGJDBRVBOUPUFNQPHBTUFJOBTDPNQSBTRVFGJ[OBTMPKBTEPDFOUSP

9

&TDSFWFBHPSBUVVNBQFSHVOUBRVFQPTTBTFSSFTQPOEJEBDPNPTEBEPTEJTQPOÓWFJT


333

PARTE

Mais recursos

4

Leituras matemáticas t t t t t t t t t t t t t

FICHA 1 FICHA 2 FICHA 3 FICHA 4 FICHA 5 FICHA 6 FICHA 7 FICHA 8 FICHA 9 FICHA 10 FICHA 11 FICHA 12 FICHA 13

1PMJFESPTOPGVUFCPM 04PMFPTHSBVT )JQBUJB 6NBHSBOEFNBUFNÈUJDB "IJTUØSJBEP[FSP 'SBDÎÜFTFJNQPTUPT "TGSBDÎÜFTEPTGBSBØT 0TOÞNFSPTEFDJNBJTOB#BCJMØOJB 0*7" 0TDFOTPT 0OÞNFSPp 6OJEBEFTQBESÍP "TÈSFBTOB¶OEJB

t 4PMVÎÜFTEBTGJDIBTEBTMFJUVSBTNBUFNÈUJDBT

334

335 336 337 338 339 340 341 342 343 344 345 346 347

348

PARTE

4

'*$)" -FJUVSBTNBUFNÈUJDBT 563.":

Mais recursos

N.O:

/0.&:

%"5":

POLIEDROS NO FUTEBOL 0TTØMJEPTHFPNÏUSJDPTFTUÍPQSFTFOUFTFNNVJUBTTJUVBÎÜFTSFBJT&OUSFFMFT NFSFDFNFTQFDJBMSFMFWÉODJB PTQPMJFESPT RVFTÍPTØMJEPTHFPNÏUSJDPTDVKBTGBDFTTÍPUPEBTQPMÓHPOPT "DBEBGJNEFTFNBOB NJMIBSFTEFQFTTPBTFTUÍPNVJUPBUFOUBTBPTNPWJNFOUPTEFVNQPMJFESPNVJUP QBSUJDVMBSBCPMBEFGVUFCPM"CPMBEFGVUFCPMÏGPSNBEBQPSQPMÓHPOPTEFDPVSPDPTJEPTFOUSFTJ2VBOEPTF FODIF FTUFTQPMÓHPOPTGJDBNDPNNBJPSUFOTÍPFBEPQUBNVNBGPSNBRVBTFFTGÏSJDB "CPMBNBJTDPNVNÏGPSNBEBQPSQFOUÈHPOPTFIFYÈHPOPT FTUBOEPDBEBQFOUÈHPOPVOJEPB IFYÈHPOPT 1PEFNPTFODPOUSBSQPMJFESPTFNRVBTFUPEBBQBSUF

-ÐFSFTQPOEF t "RVBOUPTQPMÓHPOPTQFSUFODFTJNVMUBOFBNFOUF DBEBMBEPEPTQPMÓHPOPTRVFGPSNBNBCPMBEFGVUFCPM

t "RVBOUPTQPMÓHPOPTQFSUFODFDBEBWÏSUJDF

t *OEJDBBMHVOTPCKFDUPTRVFUFOIBNGPSNBEFQPMJFESP


335

PARTE

4 Mais recursos

'*$)" -FJUVSBTNBUFNÈUJDBT /0.&:

N.O:

563.":

%"5":

040-&04(3"64 %FTEFIÈNVJUPUFNQPRVFPTFSIVNBOPPMIBQBSB PDÏVFTFRVFTUJPOBTPCSFBTFTUSFMBT B-VBFP4PM 0T#BCJMØOJPT VNQPWPNVJUPBOUJHP GJ[FSBNNVJUPT FTUVEPTTPCSFPTBTUSPT1FOTBWBNRVFB5FSSBFTUBWB QBSBEBFP4PMHJSBWBFNTFVSFEPS EFTDSFWFOEPVNB FOPSNFDJSDVOGFSÐODJBDVKPDFOUSPFSBPOPTTPQMBOFUB 0CTFSWBSBNRVFP4PMEFNPSBWBEJBTBWPMUBS BFTUBSOBNFTNBQPTJÎÍPOPDÏV1PSJTTP EFDJEJSBN EJWJEJSBDJSDVOGFSÐODJBFNQBSUFTJHVBJT&TTBEJWJTÍP EPT#BCJMØOJPTQFSEVSBBJOEBOPTOPTTPTEJBT $IBNBNPTHSBVBDBEBVNBEBTQBSUFTJHVBJT FNRVFEJWJEJNPTVNÉOHVMPDPNQMFUP

-ÐFSFTQPOEF t 2VBOUPTHSBVTUFNVNÉOHVMPDPNQMFUP $PNPQPEFTNFEJMP

t $PNPQPEFSJBTEJWJEJSVNDÓSDVMPFNQBSUFTJHVBJT

t *OWFOUBPVUSBVOJEBEFQBSBNFEJSPTÉOHVMPTFFYQMJDB BUSBWÏTEFVNFYFNQMP DPNPNFEJSJBTVNÉOHVMP DPNFMB

336


PARTE

4

'*$)" -FJUVSBTNBUFNÈUJDBT N.O:

563.":

Mais recursos

/0.&:

%"5":

)*1"5*" /BIJTUØSJBEBT.BUFNÈUJDBT )JQBUJBÏDPOIFDJEBQPSTFS BQSJNFJSBNVMIFSRVFEFVVNBJNQPSUBOUFDPOUSJCVJÎÍPQBSB PBWBOÎPEFTUBDJÐODJB7JWFVFN"MFYBOESJB &HJQUP IÈDFSDB EFNJMFTFUFDFOUPTBOPT 'JMIBEPNBUFNÈUJDPFGJMØTPGP5ÏPOEF"MFYBOESJB EFTEF QFRVFOB P TFV QBJ BKVEPVB B EFTFOWPMWFS UPEBT BT TVBT DBQBDJEBEFT OVNBÏQPDBFNRVFBTNVMIFSFTOÍPUJOIBNGÈDJM BDFTTPËFEVDBÎÍP 5PSOPVTFVNBNBHOÓGJDBQSPGFTTPSB VNBWF[RVFUJOIB HSBOEFDBQBDJEBEFQBSBUSBOTNJUJSPTTFVTDPOIFDJNFOUPT /PDBNQPEBHFPNFUSJB DPMBCPSPVDPNPTFVQBJOB SFEBDÎÍPEBWFSTÍPNBJTVUJMJ[BEBEFOs Elementos VN MJWSPNVJUPGBNPTPOFTTBNBUÏSJB &NCPSB)JQBUJBUFOIBWJWJEPIÈNVJUPTBOPT BTTVBT DPOUSJCVJÎÜFT KVOUBNFOUFDPNBTEFPVUSBTNVMIFSFT GPSBNGVOEBNFOUBJTQBSBPEFTFOWPMWJNFOUPEBT .BUFNÈUJDBT

-ÐFSFTQPOEF t 1PSRVFBDIBTRVFÏJNQPSUBOUFBGJHVSBEF)JQBUJB

t 2VFRVBMJEBEFTBDIBTRVFEFWFUFSVNNBUFNÈUJDP

t 0RVFBDIBTRVFBDPOUFDFSJBTFOÍPIPVWFTTFNBUFNÈUJDPTOPNVOEP

t 0RVFTFFTUVEBFN(FPNFUSJB 1SFGFSFMBBPVUSBTÈSFBTEB.BUFNÈUJDB


337

PARTE

4 Mais recursos


N.O:

563.":

%"5":

6."(3"/%&."5&.«5*$" &OUSFBTNVMIFSFTRVFEFSBNDPOUSJCVUPTEFDJTJWPTQBSBPEFTFOWPMWJNFOUPEBT.BUFNÈUJDBT EFTUBDBTFB JUBMJBOB$BFUBOB"HOFTJ7JWFVOPTÏDVMPXVIIIFFSBGJMIBEFVNBGBNÓMJBBCBTUBEB %FTEFQFRVFOBNPTUSPVPTFVHSBOEFUBMFOUPFHSBOEFJOUFSFTTFQFMBT.BUFNÈUJDBT FBMDBOÎPVVNHSBOEF QSFTUÓHJPOBTVBÏQPDB &TDSFWFVWÈSJPTMJWSPT BMHVOTTPCSF(FPNFUSJB RVFGPSBNNVJUPFMPHJBEPTQPSUPEPTFUSBEV[JEPTFNNVJUPT JEJPNBT &NTVBIPNFOBHFN PTNBUFNÈUJDPTEFSBNPTFVOPNFBVNBMJOIBDVSWBBDVSWBEF"HOFTJ OPNFRVF BJOEBTFVUJMJ[BIPKFFNEJB %FTUBGPSNB SFDPOIFDFSBNBJNQPSUÉODJBEPTFVUSBCBMIP $BFUBOB DPNPNVJUBTPVUSBTNVMIFSFT EFV VNDPOUSJCVUPJOEJTQFOTÈWFMQBSBPBWBOÎP EBT.BUFNÈUJDBT

-ÐFSFTQPOEF t 0RVFUFDIBNPVBBUFOÎÍPOBIJTUØSJBEF$BFUBOB

t % FRVFQBSUFEBT.BUFNÈUJDBTHPTUBTNBJTEPTOÞNFSPT EBTPQFSBÎÜFT EPTQPMÓHPOPT EBTVOJEBEFTEF NFEJEB y 1PSRVFBDIBTRVFÏBTTJN

t 2VFDBQBDJEBEFTBDIBTRVFVNNBUFNÈUJDPEFWFUFS 2VBJTQFOTBTTFSFNBTNBJTOFDFTTÈSJBT

t 2VFJNQPSUÉODJBBDIBTRVFUFNPUSBCBMIPEPTNBUFNÈUJDPT

338


PARTE

4


Mais recursos

N.O:

/0.&:

%"5":

")*45»3*"%0;&30 "UÏBPBOPEF P[FSPFSBUPUBMNFOUFEFTDPOIFDJEPOB &VSPQB/BRVFMBÏQPDB VUJMJ[BWBNTFFNUPEBBQBSUFPTOÞNFSPT SPNBOPT/FTUFT POÞNFSP[FSPOÍPFYJTUJB 2VBOEPUJOIBNEFGB[FSPQFSBÎÜFT JTUPQSPWPDBWB HSBOEFTJODPOWFOJFOUFT BTTJNDPNPOBTNVMUJQMJDBÎÜFT FEJWJTÜFT /FTTFBOP 'JCPOBDDJ VNNBUFNÈUJDPJUBMJBOP FTDSFWFV PMJWSPEPÈCBDP FNRVFBQBSFDJBQFMBQSJNFJSBWF[ PTJTUFNBEFOVNFSBÎÍPEFDJNBMFPTOÞNFSPTRVF DPOIFDFNPTIPKF JODMVJOEPP[FSP 0BQBSFDJNFOUPEP[FSPGBDJMJUPVNVJUP PTDÈMDVMPT NBTyDPNQMJDPVNVJUPB WJEBBPTNBVTFTUVEBOUFT

-ÐFSFTQPOEF t 2 VFMFUSBTVTBWBNPTSPNBOPTQBSBSFQSFTFOUBSPTOÞNFSPT 2VFWBMPSUJOIBDBEBMFUSB

t 0RVFTJHOJGJDBP[FSPOPOÞNFSP &OPOÞNFSP

t 0RVFTVQÜFTRVFBDPOUFDFSJBTFOÍPFYJTUJTTFP[FSPOPOPTTPTJTUFNBEFOVNFSBÎÍPBDUVBM


339

PARTE

4 Mais recursos


N.O:

563.":

%"5":

'3"$±¿&4&*.104504 "TGSBDÎÜFTTFNQSFGJ[FSBNQBSUFEBMJOHVBHFNRVPUJEJBOB"MÏNEBT NBJTDPNVOT DPNPBNFUBEF VNRVBSUPy FYJTUFNPVUSBTRVFGB[JBN QBSUFEBWJEBEJÈSJBEFPVUSBTÏQPDBT )ÈNVJUPTBOPT FNNVJUPTQBÓTFTVUJMJ[BWBTFVNBGSBDÎÍPQBSB JOEJDBSPTJNQPTUPTRVFTFUJOIBEFQBHBSBPSFJPDIBNBEPEÓ[JNP 0EÓ[JNPFSBVNJNQPTUPRVFDPOTJTUJBOPQBHBNFOUPEB EÏDJNBQBSUFEBTDPMIFJUBT EPTSFOEJNFOUPTFEBTNFSDBEPSJBT "TTJNTFOEP VNDBNQPOÐTUJOIBEFFOUSFHBSVNBQBSUFEFDBEB EF[EBTTVBTDPMIFJUBTFVNNFSDBEPSRVFFOUSBTTFOBDJEBEFUJOIB EFQBHBSBEÏDJNBQBSUFEBTTVBTNFSDBEPSJBT $PNPWÐT BTGSBDÎÜFTGPSBNFTÍPNVJUPVTVBJT

-ÐFSFTQPOEF t &YQMJDBPRVFÏPEÓ[JNP

t 2VBMÏPEÓ[JNPEFVNBDPMIFJUBEFNFMÜFT

t 4 FVNDBNQPOÐTDPMIFTTFNFMÜFTFUJWFTTFEFFOUSFHBSVNEÓ[JNP RVBOUPTNFMÜFTFOUSFHBSJB &TFBDPMIFJUBGPTTFEFNFMÜFT

t 0DBNQPOÐTQBHBSJBFNBNCPTPTDBTPTBNFTNBRVBOUJEBEF 1PSRVÐ

340


PARTE

4


Mais recursos

N.O:

/0.&:

%"5":

"4'3"$±¿&4%04'"3"»4 /P&HJQUPEPTGBSBØTFEBTQJSÉNJEFT BTNBUFNÈUJDBTUJOIBNHSBOEF JNQPSUÉODJB +ÈOFTTBBMUVSB PT&HÓQDJPTDPOIFDJBNFVUJMJ[BWBNBTGSBDÎÜFTBJOEB RVFEFVNBGPSNBFTQFDJBM EJGFSFOUFEBOPTTB /PTTFVTDÈMDVMPT PT&HÓQDJPTVTBWBNBTGSBDÎÜFTVOJUÈSJBT GSBDÎÜFT FNRVFPOVNFSBEPSÏPOÞNFSP0CTFSWBDPNPEFTFOIBWBNFTUBT GSBDÎÜFTVOJUÈSJBTOPTTFVTQBQJSPT

0TÓNCPMPEPPMIPTJHOJGJDBWBjVNEJWJEJEPQPSxFPTSJTDPT JOEJDBWBN QPS RVBOUBT QBSUFT TF EJWJEJB B VOJEBEF JTUP Ï PEFOPNJOBEPS4FOFDFTTJUBTTFNEFFTDSFWFSVNBGSBDÎÍP EFOVNFSBEPSNBJPSEPRVFVN FTDSFWJBN WÈSJBT GSBDÎÜFT VOJUÈSJBT KVOUBT EFNPEPRVF P SFTVMUBEP EB TPNBGPTTFFTTB GSBDÎÍP

-ÐFSFTQPOEF t 0T&HÓQDJPTVTBWBNPUSBÎPEFGSBDÎÍP

t 0RVFTJHOJGJDBWBQBSBFMFTPTÓNCPMP

&PTSJTDPTWFSUJDBJT

t $PNPFTDSFWFSJBTBGSBDÎÍPjVNUFSÎPxBPFTUJMPFHÓQDJP &jVNTÏUJNPx

t 1BSFDFUFRVFPTJTUFNBEFSFQSFTFOUBÎÍPEFGSBDÎÜFTEPT&HÓQDJPTÏNBJTTJNQMFTEPRVFPOPTTP 1PSRVÐ


341

PARTE

4 Mais recursos


N.O:

563.":

%"5":

04/Á.&304%&$*."*4/"#"#*-»/*" 0TOÞNFSPTEFDJNBJTGPSBN EFTEFIÈNVJUPUFNQP TFOEPVUJMJ[BEPTQPSEJGFSFOUFTDJWJMJ[BÎÜFT )ÈNJMIBSFTEFBOPT PT#BCJMØOJPTKÈVUJMJ[BWBNFTUFTOÞNFSPT4BCFNPMPQPSRVFFN BMHVNBTKB[JEBTBSRVFPMØHJDBTFODPOUSBSBNTFUBCVJOIBTEFCBSSPHSBWBEBT 1BSBFTDSFWFSPTOÞNFSPTEFDJNBJT NBSDBWBNQSJNFJSP OBUBCVJOIBBQBSUFJOUFJSBFEFQPJT VNQPVDPTFQBSBEB BQBSUFEFDJNBM "TTJNFSBDPNPTFSFQSFTFOUBWBN BMHVOTOÞNFSPT

-ÐFSFTQPOEF t 4 FHVOEPPT#BCJMØOJPT RVFOÞNFSPEFDJNBMFTUÈSFQSFTFOUBEPOB UBCVJOIBËEJSFJUB

t & TDSFWFPTTFHVJOUFTOÞNFSPTEFDJNBJTDPNPTTJOBJTRVFVUJMJ[BWBN PT#BCJMØOJPT

t 2VFJODPOWFOJFOUFTBDIBTRVFUJOIBPTJTUFNBCBCJMØOJDPEFFTDSJUBEFOÞNFSPTEFDJNBJT

342


PARTE

4

'*$)" Leituras matemáticas N.O:

TURMA:

Mais recursos

NOME:

DATA:

O IVA 2VBOEPDPNQSBNPTVNBSUJHPOVNBMPKB DPNFNPTOVN SFTUBVSBOUF NBOEBNPTBSSBOKBSVNBQBSFMIPBWBSJBEPy BMÏNEF QBHBSNPTPQSFÎPEPQSPEVUP EBDPNJEBPVEPBSSBOKP OBGBDUVSB BQBSFDFPVUSBRVBOUJBRVFEFWFNPTQBHBSP*7" 0*7"ÏVNJNQPTUP*NQPTUPTPCSFP7BMPS"DSFTDFOUBEP RVFUPEPTQBHBNPTBPBERVJSJSBMHPPVBPQBHBSPUSBCBMIP SFBMJ[BEPQPSVNQSPGJTTJPOBM $PNFTUFJNQPTUP BSSFDBEBTFVNBEFUFSNJOBEB RVBOUJBEFEJOIFJSP RVF EFQPJT ÏVUJMJ[BEPQFMP(PWFSOP QBSBEJGFSFOUFTGJOT 0*7"RVFTFQBHBÏVNUBOUPQPSDFOUPEPQSFÎP EPQSPEVUP&TUBQFSDFOUBHFNWBSJBEFBDPSEPDPNBT OFDFTTJEBEFTEPBSUJHP1PSFYFNQMP QBHBTFEF*7" QBSBDPNQSBSQÍP MFJUF SFNÏEJPTy FNCJMIFUFT EFDPNCPJPPVBWJÍP FOUSBEBTOPDJOFNByFFN RVBTFUVEPPSFTUP 1BHBSJNQPTUPTCFOFGJDJBOPTBUPEPT

Lê e responde. t 1BSBRVFBDIBTRVFTFSWFNPTJNQPTUPT

t &NRVFDPOTJEFSBTRVFTFEFWJBHBTUBSPEJOIFJSPSFTVMUBOUFEPTJNQPTUPT

t 4FDPNQSBSFTVNCJMIFUFEFBWJÍPQPSû RVBOUPUFOTEFQBHBS BMÏNEJTTP EF*7"


343

PARTE

4 Mais recursos


N.O:

563.":

%"5":

04$&/404 "&TUBUÓTUJDBÏPSBNPEB.BUFNÈUJDBRVFTFPDVQBEFSFDPMIFSEJGFSFOUFTUJQPTEFEBEPTQBSBSFUJSBSEFMFT UPEBBJOGPSNBÎÍPQPTTÓWFM'PJ FÏ NVJUPVUJMJ[BEBFNUPEBTBTÏQPDBTFQBÓTFT TFOEPPTDFOTPTVNBEBTTVBT QSJODJQBJTBQMJDBÎÜFT "QBMBWSBjDFOTPxUFNPSJHFNOBQBMBWSBMBUJOB«census»0TcensusFSBNMJTUBTEFQFTTPBTFQSPQSJFEBEFT RVFTFGB[JBNOP*NQÏSJP3PNBOP/P&HJQUP OB$IJOBFOBBOUJHB(SÏDJBUBNCÏNTFGJ[FSBNDFOTPT "DUVBMNFOUF OPOPTTPQBÓT SFBMJ[BTFVNDFOTPËQPQVMBÎÍPEFFNBOPT SFDPMIFOEPTFVNBHSBOEF RVBOUJEBEFEFJOGPSNBÎÍPTPCSFBQPQVMBÎÍP BTDBTBT PVTPEFNFJPTEFUSBOTQPSUFy

-ÐFSFTQPOEF t &YQMJDBFNRVFPDBTJÜFTPVWJTUFBQBMBWSBjFTUBUÓTUJDBx

t 0RVFÏVNDFOTP %FRVBOUPFNRVBOUPUFNQPTFSFBMJ[B

t 1PSRVFBDIBTRVFÏÞUJMSFBMJ[BSDFOTPT

t "MÏNEPTDFOTPT RVFPVUSBTBQMJDBÎÜFTEB&TUBUÓTUJDBDPOIFDFT

344


PARTE

4


563.":

Mais recursos

/0.&:

%"5":

0/Á.&30p

&OUSFUPEPTPTOÞNFSPTEFDJNBJT POÞNFSPp QJ UFNHSBOEFJNQPSUÉODJB&TUFOÞNFSPÏPRVPDJFOUFEB EJWJTÍPEPDPNQSJNFOUPEFRVBMRVFSDJSDVOGFSÐODJBQFMPTFVEJÉNFUSP "PMPOHPEBIJTUØSJB BTDJWJMJ[BÎÜFTVUJMJ[BSBNEJGFSFOUFTWBMPSFTQBSB p0T&HÓQDJPTEFSBNMIFPWBMPSEF FPTNBUFNÈUJDPTÈSBCFTBUSJCVJSBNMIFPWBMPSEF "DUVBMNFOUF VTBNPT DPNPTFOEPPWBMPSEFp FNCPSBFTUFOÞNFSPUFOIBJOGJOJUPTBMHBSJTNPTEFDJNBJT FTFDPOIFÎBNNÏUPEPTRVFOPTQFSNJUFNEFUFSNJOBSRVBOUPTBMHBSJTNPTEFDJNBJTRVFJSBNPTBQBSUJSEFMF *OÞNFSPTNBUFNÈUJDPTDBMDVMBSBNVNHSBOEFOÞNFSPEFBMHBSJTNPTEFDJNBJTEFp 0NBUFNÈUJDPJOHMÐT8JMMJBN4IBOLTDBMDVMPVBMHBSJTNPTEFDJNBJT EFEJDBOEPNVJUPUFNQPBGB[FSFTTBT PQFSBÎÜFT "OPTEFQPJTEFTDPCSJVTFRVFUJOIBDPNFUJEPVNFSSPyFRVFBQFOBTFSBNWÈMJEPTPTQSJNFJSPT BMHBSJTNPT

-ÐFSFTQPOEF t 0 WBMPSEPOÞNFSPpÏ yNBTOPSNBMNFOUFVTBNPTBTVBBQSPYJNBÎÍPËTDFOUÏTJNBT 2VBMÏBTVBBQSPYJNBÎÍPËTNJMÏTJNBT &ËTEÏDJNBT &ËTVOJEBEFT

t 0 OÞNFSPpDPTUVNBMFSTFjUSÐTDBUPS[Fx FNCPSBOÍPTFKBBGPSNBDPSSFDUBEFMFSVNOÞNFSPEFDJNBM $PNPTFEFWFMFSPOÞNFSP


345

PARTE

4 Mais recursos


N.O:

563.":

%"5":

6/*%"%&4ű1"%3°0 %VSBOUFNVJUPTBOPT FNDBEBQBÓTF QPSWF[FT NFTNPFNDBEBSFHJÍP VUJMJ[BWBNTFVOJEBEFTEFNFEJEB EJGFSFOUFT*TTPQSPWPDBWBNVJUPTQSPCMFNBTOBWJEBRVPUJEJBOB /PTGJOBJTEPTÏDVMPXVIIIB"DBEFNJBEF$JÐODJBTGSBODFTBFTUBCFMFDFVP4JTUFNB.ÏUSJDP%FDJNBM EFGJOJOEP VOJEBEFTEFNFEJEBSFMBDJPOBEBTFOUSFTJEFFN DPNPPTJTUFNBEFOVNFSBÎÍP"HSBOEFNBJPSJBEPT QBÓTFTBEPQUPVP %FGJOJSBNTFPNFUSPFPRVJMPHSBNB FDPOTUSVJVTFPNFUSPQBESÍP VNBCBSSBDPNNFUSPEFDPNQSJNFOUP FVNRVJMPHSBNBQBESÍP DPN LHFYBDUPEFQFTP %JTUSJCVÓSBNTFSÏQMJDBTEFBNCBTBTVOJEBEFTQBESÍPQPSUPEP PNVOEP QBSBRVFUPEPTDPOIFDFTTFNBTOPWBTVOJEBEFT "JOEBIPKF PNFUSPQBESÍPFPRVJMPHSBNBQBESÍP FODPOUSBNTFFN'SBOÎB

-ÐFSFTQPOEF t 2VFQSPCMFNBTBDIBTRVFPDPSSJBNDPNBTEJGFSFOUFTVOJEBEFTEFNFEJEB %ÈBMHVOTFYFNQMPT

t $POIFDFTBMHVNBVOJEBEFEFNFEJEBBOUJHBEBUVBSFHJÍP 2VBM

346


PARTE

4


563.":

Mais recursos

/0.&:

%"5":

AS ÁREAS NA ÍNDIA &OUSFBTDJWJMJ[BÎÜFTRVFDPOUSJCVÓSBNQBSBPEFTFOWPMWJNFOUP EBT.BUFNÈUJDBT BIJOEVPDVQBVNMVHBSEFEFTUBRVF 0T)JOEVTGPSBNPTDSJBEPSFTEPOPTTPTJTUFNBEFOVNFSBÎÍP BDUVBM0[FSPFPTBMHBSJTNPTRVFVUJMJ[BNPTUJWFSBNBTVBPSJHFN OB¶OEJB /B(FPNFUSJB IÈNVJUPTTÏDVMPT PT)JOEVTGJ[FSBNUBNCÏN JNQPSUBOUFTEFTDPCFSUBT "NBJPSQBSUFEFMBTBQBSFDFSFVOJEBOVNBTÏSJFEFFTDSJUPT DIBNBEPTOs Sulvasutras /FTUFTFTDSJUPTQPEFWFSTFRVFPT)JOEVTVTBWBNGØSNVMBT NVJUPQBSFDJEBTDPNBTBDUVBJTQBSBDBMDVMBSÈSFBTEFGJHVSBT $PN FMBT QPS FYFNQMP DBMDVMBWBN ÈSFBT EF QBSDFMBT FDPOTUSVÓBNUFNQMPT 2VFN TBCF TF DPNP BDPOUFDFVDPNPTOÞNFSPT FTTBT GØSNVMBT IJOEVT WJBKBSBNOPUFNQPBUÏ DIFHBSFNBUÏOØT

-ÐFSFTQPOEF t " MÏNEBIJOEV RVFPVUSBTDJWJMJ[BÎÜFTBOUJHBTDPOIFDFTRVFDPOUSJCVÓSBNQBSBPEFTFOWPMWJNFOUPEBT .BUFNÈUJDBT

t 2VBJTGPSBNPTDSJBEPSFTEPOPTTPTJTUFNBEFOVNFSBÎÍPBDUVBM

t $PNRVFFTQFDJBMJEBEFPVSBNPEBTNBUFNÈUJDBTBTTPDJBSJBTPDÈMDVMPEFÈSFBT 1PSRVÐ

t &NRVFTJUVBÎÜFTBDIBTRVFTFEFWFDBMDVMBSÈSFBT %ÈBMHVOTFYFNQMPT


347

PARTE

Mais recursos

4

Soluções das fichas de leituras matemáticas '*$)"

PÁG. 335

t $ BEBMBEPQFSUFODFBEPJTQPMÓHPOPT t $BEBWÏSUJDFQFSUFODFBUSÐTQPMÓHPOPT t 4VHFTUÍPEFSFTQPTUB#PSSBDIB QBDPUFEFMFJUF UFMIBEPEFVNDBNQBOÈSJP FUD

'*$)"

PÁG. 336

t 5FN¡$PNVNUSBOTGFSJEPS t 4VHFTUÍPEFSFTQPTUB.BSDBOEPDPNVNUSBOTGFSJEPSBTEJWJTÜFTPVEJWJEJOEPPFNÉOHVMPTSFDUPTF DBEBVNEFMFT FNQBSUFTJHVBJT t 3FTQPTUBMJWSF

'*$)"

PÁG. 337

t 4VHFTUÍPEFSFTQPTUB1PSRVFGPJVNBEBTQSJNFJSBTNVMIFSFTNBUFNÈUJDBTOBIJTUØSJBFEFVVNHSBOEF DPOUSJCVUPBFTUBDJÐODJB t 4VHFTUÍPEFSFTQPTUB3JHPS PSEFN JNBHJOBÎÍPy t 3FTQPTUBMJWSF t &N(FPNFUSJBFTUVEBNTFQPOUPT SFDUBT QPMÓHPOPT QPMJFESPT FUD 3FTQPTUBMJWSF

'*$)" t t t t

PÁG. 338

3FTQPTUBMJWSF 3FTQPTUBMJWSF 3FTQPTUBMJWSF 3FTQPTUBMJWSF

'*$)"

PÁG. 339

t *79-$%. t &N PSFQSFTFOUBVOJEBEFTFN PSFQSFTFOUBEF[FOBT t 0[FSPÏGVOEBNFOUBMQBSBPOPTTPTJTUFNBEFOVNFSBÎÍP4FNFMF OÍPTFSJBVNTJTUFNBQPTJDJPOBM DPNBT WBOUBHFOTRVFJTTPUFN

'*$)" t t t t

PÁG. 340

EÓ[JNPÏVNJNQPTUPRVFTFQBHBWBOB"OUJHVJEBEF&RVJWBMFËEÏDJNBQBSUFEPUPUBM 0 0EÓ[JNPEFNFMÜFTTÍPNFMÜFT 0EÓ[JNPEFÏNFMÜFTFPEFFRVJWBMFBNFMÜFT /ÍP QPSRVFRVBOUPNBJPSBDPMIFJUB NBJPSPEÓ[JNP

'*$)"

PÁG. 341

t / ÍPBVUJMJ[BWBN t j6NEJWJEJEPQPSx 1BSUFTFNRVFTFEJWJEFBVOJEBEF t t 3FTQPTUBMJWSF

348


PARTE

'*$)"

PÁG. 342

'*$)"

4 Mais recursos

t t 3FTQPTUBHSÈGJDB t 4VHFTUÍPEFSFTQPTUB0DVQBNEFNBTJBEPFTQBÎPBPTFSFNFTDSJUPTF BMÏNEJTTP QPEFHFSBSDPOGVTÜFT PÁG. 343

t 4VHFTUÍPEFSFTQPTUB1BSBQBHBSPTHBTUPTEP&TUBEP t 4VHFTUÍPEFSFTQPTUB1BSBBDPOTUSVÎÍPEF[POBTQÞCMJDBTFTUSBEBT QBSRVFT BFSPQPSUPT FUD t EF5FOTEFQBHBSûEF*7"

'*$)"

PÁG. 344

t 4 VHFTUÍPEFSFTQPTUB/BTOPUÓDJBT OÞNFSPEFBDJEFOUFT OÞNFSPEFUVSJTUBT TBMÈSJPNÏEJP UFNQFSBUVSB NÏEJB FUD t 6NDFOTPTÍPMJTUBTEBQPQVMBÎÍP3FBMJ[BTFBDBEBEF[BOPT t 4VHFTUÍPEFSFTQPTUB1BSBQPEFSTBCFSBQPQVMBÎÍPRVFIBCJUBOVNQBÓT UPNBSEFDJTÜFTTPCSFJOGSB FTUSVUVSBT SFDVSTPTy t 4VHFTUÍPEFSFTQPTUB"OÈMJTFTEFNFSDBEP TPOEBHFOTQPMÓUJDBT NFEJEBTEFPCKFDUPTQBSBGBCSJDÈMBTEF BDPSEPDPNBFTUBUVSBNÏEJBy

'*$)"

PÁG. 345

t ® TNJMÏTJNBT ®TEÏDJNBT ®TVOJEBEFT t 5SÐTWÓSHVMBDBUPS[FPVUSÐTVOJEBEFTFDBUPS[FDFOUÏTJNBT

'*$)"

PÁG. 346

t 4 VHFTUÍPEFSFTQPTUB"PUFSNFEJEBTEJGFSFOUFT BTQFTTPBTOÍPTFFOUFOEFSJBNFFOUSFHBSJBN QPS FYFNQMP RVBOUJEBEFTEJGFSFOUFT t 4VHFTUÍPEFSFTQPTUB0BMRVFJSF

'*$)" t t t t

PÁG. 347

4 VHFTUÍPEFSFTQPTUB0T&HÓQDJPT PT#BCJMØOJPT PT"OHMP4BYÜFT 0T)JOEVT $PNB(FPNFUSJB 4VHFTUÍPEFSFTQPTUB$PNQSBTFWFOEBTEFBOEBSFT QBQFMOFDFTTÈSJPQBSBDPMPDBSOVNBQBSFEFy


349

PARTE

Mais recursos

4

Raciocínio lógico t t t t t

FICHA 1 FICHA 2 FICHA 3 FICHA 4 FICHA 5

0TFRVJMJCSJTUBT 3FMBDJPOBSEBEPT 0OEFWJWFN "OBMJTBSBJOGPSNBÎÍP 4FRVÐODJBTEFGSBDÎÜFT "OBMJTBSBJOGPSNBÎÍP 0NFOUJSPTP 3FMBDJPOBSEBEPT 4FRVÐODJBTEFGJHVSBT &TUBCFMFDFSSFMBÎÜFTMØHJDBT

t 4PMVÎÜFTEBTGJDIBTEFSBDJPDÓOJPMØHJDP

350

351 352 353 354 355 356

PARTE

4

'*$)" 3FMBDJPOBSEBEPT 563.":

Mais recursos

N.0:

/0.&:

%"5":

0TFRVJMJCSJTUBT -ÐPRVFEJ[DBEBFRVJMJCSJTUB%FQPJT SFTQPOEF

A minha é verde.

A minha é amarela. Eu levo a vara de cor vermelha.

A minha vara é azul.

13*.&*3""$56"±°0 0FRVJMJCSJTUBRVFMFWBBWBSBWFSNFMIBTBJFNQSJNFJSPMVHBSFPFRVJMJCSJTUBRVFMFWBBWBSBB[VMTBJFNÞMUJNP 2VFFRVJMJCSJTUBTQPEFNTBJSFNTFHVOEPMVHBS t 1PEFNTBJS 4&(6/%""$56"±°0 0FRVJMJCSJTUBRVFMFWBBWBSBWFSEFTBJFNQSJNFJSPMVHBSFPFRVJMJCSJTUBRVFMFWBBWBSBB[VMTBJFNUFSDFJSP 2VBJTBTTFRVÐODJBTEFTBÓEBRVFQPEFNGPSNBSPTRVBUSPFRVJMJCSJTUBT t $PNQMFUBBUBCFMB 1SJNFJSP

4FHVOEP

5FSDFJSP

WFSEF

B[VM

WFSEF

B[VM

2VBSUP

5&3$&*3""$56"±°0 0FRVJMJCSJTUBRVFMFWBBWBSBBNBSFMBTBJBTFHVJSBPFRVJMJCSJTUBRVFMFWBBWBSBWFSNFMIB2VBJTBTTFRVÐODJBT EFTBÓEBRVFQPEFNGPSNBSPTRVBUSPFRVJMJCSJTUBT t $PNQMFUBBUBCFMBFBDSFTDFOUBBTMJOIBTRVFOFDFTTJUBSFT 1SJNFJSP

4FHVOEP

WFSNFMIP

BNBSFMP

…

…

5FSDFJSP

2VBSUP

…


351

PARTE

Mais recursos

4

'*$)" "OBMJTBSBJOGPSNBÎÍP N.0:

/0.&:

563.":

%"5":

0OEFWJWFN -ÐDPNBUFOÎÍP DPOTUSØJVNBUBCFMBFSFTQPOEF *TBCFM 7ÓUPS -ÞDJBF.BSDPTÍPBNJHPTFDBEBVNWJWFOVNBDJEBEFEJGFSFOUF6NWJWFFN-JTCPB PVUSPOP 1PSUP PVUSPFN$PJNCSBFPVUSPFN'BSP"*TBCFMWJWFOP1PSUPFB-ÞDJBWJWFFN$PJNCSB0OEFWJWFP7ÓUPS &P.BSDP 1BSBFODPOUSBSBTPMVÎÍP QPEFTFSÞUJMDPOTUSVÓSFTVNBUBCFMB t 1SJNFJSP FTDSFWFPTEBEPTRVFDPOIFDFT

ISABEL -JTCPB

VÍTOR

LÚCIA

t % FQPJT VUJMJ[BPTEBEPTRVFDPOIFDFTQBSB FODPOUSBSFTNBJTJOGPSNBÎÍP MARCO

4JN

1PSUP

/ÍP

$PJNCSB

4JN

'BSP

07ÓUPSWJWFFN

ISABEL

VÍTOR

LÚCIA

MARCO

-JTCPB

4JN

/ÍP

/ÍP

/ÍP

1PSUP

/ÍP

/ÍP

/ÍP

$PJNCSB

/ÍP

/ÍP

4JN

'BSP

/ÍP

FP.BSDPWJWFFN

/ÍP

/ÍP

$PNQMFUBBUBCFMB "*TBCFM P7ÓUPS B-ÞDJBFP.BSDPUÐNDBEBVNFNTVBDBTBVNBOJNBMEFFTUJNBÎÍP 6NUFNVNDBOÈSJP PVUSPUFNVNDÍP PVUSPVNHBUPFPVUSPVNQFSJRVJUP"*TBCFMUFNVNDBOÈSJP "-ÞDJBFP.BSDPOÍPUÐNVNDÍP0.BSDPOÍPUFNVNHBUP t 2VFBOJNBMUFNDBEBDSJBOÎB ISABEL

VÍTOR

LÚCIA

MARCO

DBOÈSJP DÍP HBUP QFSJRVJUP

$PNQMFUBBUBCFMB "*TBCFM P7ÓUPS B-ÞDJBFP.BSDPUÐNDBEBVNVNhobbieQSFGFSJEP 6NEFMFTHPTUBEFGPUPHSBGJB PVUSPEFEFTFOIP PVUSPEFNÞTJDBFPVUSPEFCBTRVFUFCPM "*TBCFMOÍPHPTUBEFCBTRVFUFCPM"-ÞDJBFP.BSDPOÍPHPTUBNEFEFTFOIP07ÓDUPSHPTUBEFGPUPHSBGJB 0.BSDPOÍPHPTUBEFNÞTJDB t 2VBMÏPhobbieGBWPSJUPEFDBEBDSJBOÎB ISABEL

VÍTOR

GPUPHSBGJB EFTFOIP NÞTJDB CBTRVFUFCPM

352


LÚCIA

MARCO

PARTE

4

'*$)" "OBMJTBSBJOGPSNBÎÍP 563.":

Mais recursos

N.0:

/0.&:

%"5":

4FRVÐODJBTEFGSBDÎÜFT %FTFOIBFQJOUBPTUFSNPTRVFTFTFHVFNBPÞMUJNPEFTFOIBEPFNDBEBTFRVÐODJB %FQPJT FTDSFWFBGSBDÎÍPRVFSFQSFTFOUBDBEBQBSUFDPMPSJEB

4

9

8

7

6

0CTFSWBFQJOUBBÞMUJNBRVBESÓDVMB%FQPJT FTDSFWFBGSBDÎÍPRVFSFQSFTFOUBDBEBQBSUFDPMPSJEB


353

PARTE

Mais recursos

4

'*$)" 3FMBDJPOBSEBEPT N.0:

/0.&:

563.":

%"5":

0NFOUJSPTP -ÐBUFOUBNFOUFFBWFSJHVB FNDBEBDBTP RVBMÏBDSJBOÎBRVFNFOUF A Sónia não mente.

Eu não minto.

A Sónia mente.

Alexandre

Sónia

Inácio

t "DSJBOÎBRVFNFOUFÏ

A Raquel mente.

A Paula mente.

Paula

Raquel

O Santiago diz a verdade.

A Paula disse a verdade.

Santiago

Mário

t "DSJBOÎBRVFNFOUFÏ -ÐEFUBMIBEBNFOUFFBWFSJHVB FNDBEBDBTP RVBMÏBDSJBOÎBRVFNFOUFFDPNQMFUB A corda vermelha mede 60 cm.

O Pedro mente, a corda vermelha mede 50 cm.

David

Pedro

t "DSJBOÎBRVFNFOUFÏ

t "DSJBOÎBRVFNFOUFÏ t "DPSEBWFSEFNFEF 354

Maria

"DPSEBWFSNFMIBNFEF

Marta

José

FBDPSEBB[VMNFEF

A Adelaide mente, a corda verde mede 35 cm.

A corda azul mede 25 cm.

A corda verde mede 30 cm.

Adelaide

O David mente, a corda que mede 50 cm é a azul.

A Adelaide disse a verdade, a corda que mede 35 cm é a vermelha.

Manuel

BB[VMNFEF


FBWFSNFMIBNFEF

PARTE

4

'*$)" &TUBCFMFDFSSFMBÎÜFTMØHJDBT N.0:

563.":

Mais recursos

/0.&:

%"5":

4FRVÐODJBTEFGJHVSBT %FTFOIBPTUFSNPTRVFTFTFHVFNBPÞMUJNPUFSNPEFTFOIBEPFNDBEBTFRVÐODJB

t $PNPTFGPSNBFTUBTFRVÐODJB &YQMJDB





355

PARTE

Mais recursos

4

Soluções das fichas de raciocínio lógico '*$)"

PÁG. 351

t 1PEFNTBJSPTFRVJMJCSJTUBTRVFMFWBNBTWBSBTWFSEFFBNBSFMB t

t

1SJNFJSP

4FHVOEP

5FSDFJSP

2VBSUP

WFSEF

amarelo

B[VM

vermelho

WFSEF

vermelho

azul

amarelo

1SJNFJSP

4FHVOEP

5FSDFJSP

2VBSUP

WFSNFMIP

BNBSFMP

verde

azul

vermelho

amarelo

azul

verde

azul

vermelho

amarelo

verde

verde

vermelho

amarelo

azul

verde

azul

vermelho

amarelo

azul

verde

vermelho

amarelo

'*$)"

PÁG. 352

t 07ÓUPSWJWFFN'BSP t

ISABEL

VÍTOR

LÚCIA

MARCO

DBOÈSJP

Sim

Não

Não

Não

DÍP

Não

Sim

Não

Não

HBUP

Não

Não

Sim

Não

QFSJRVJUP

Não

Não

Não

Sim

ISABEL

VÍTOR

LÚCIA

MARCO

GPUPHSBGJB

Sim

Não

Não

Não

EFTFOIP

Não

Sim

Não

Não

NÞTJDB

Não

Não

Sim

Não

CBTRVFUFCPM

Não

Não

Não

Sim

t

'*$)"

356

PÁG. 353

4

5 10

6 10

9

8

7

6

5 10

6 10


PARTE

4 28 100

44 100

58 100

70 100

80 100

36 100

28 100

21 100

15 100

10 100

36 100

28 100

21 100

15 100

10 100

84 100

84 100

84 100

84 100

84 100

16 100

16 100

16 100

16 100

16 100

'*$)" t t t t

Mais recursos

PÁG. 354

0"MFYBOESFNFOUF "3BRVFMNFOUF 0%BWJENFOUF ".BSUBNFOUF

'*$)"

PÁG. 355


357

PARTE

Mais recursos

4

Resolução de problemas t t t t t t t t t t t t t t t

358

1BTTPTQBSBSFTPMWFSVNQSPCMFNB 5FOUBUJWBFFSSP 3FTPMWFSVNQSPCMFNBDPNFÎBOEPQFMPGJN 'B[FSVNEFTFOIP *NBHJOBSPQSPCMFNBSFTPMWJEP 'B[FSVNBUBCFMB &TUJNBSVNWBMPSBQSPYJNBEPEBTPMVÎÍP 3FQSFTFOUBSBTJUVBÎÍP 3FQSFTFOUBSPTEBEPTHSBGJDBNFOUF 1SPDVSBSEBEPTOVNUFYUPFOVNHSÈGJDP 1SPDVSBSEBEPTOVNBUBCFMBFOVNHSÈGJDP 1SPDVSBSVNBSFHSB 3FQSFTFOUBSHSBGJDBNFOUFBTJUVBÎÍP 3FEV[JSPQSPCMFNBBPVUSPDPOIFDJEP 'B[FSVNEJBHSBNBFNÈSWPSF

359 360 361 362 363 364 365 366 367 368 369 370 371 372 373

PARTE

1BTTPTQBSBSFTPMWFSVNQSPCMFNB

4 Mais recursos

3FTPMWFTFNQSFPTQSPCMFNBTTFHVJOEPFTUFTQBTTPT

0.BOVFMUJSPVGPUPHSBGJBTFBTVBJSNÍ$MBSB UJSPVNBJTGPUPHSBGJBTEPRVFFMF2VBOUBT GPUPHSBGJBTUJSBSBNPTEPJT $0.13&&/%& 1FSHVOUB→2VBOUBTGPUPHSBGJBTUJSBSBNPTEPJT %BEPT→0.BOVFMUJSPVGPUPHSBGJBT "$MBSBUJSPVNBJTGPUPHSBGJBTEPRVF P.BOVFM 1&/4" %FWFEFUFSNJOBSTFRVBOUBTGPUPHSBGJBTUJSPVB$MBSB 4PNBNPTËTGPUPHSBGJBTUJSBEBTQFMP.BOVFM %FWFEFUFSNJOBSTFPUPUBMEFGPUPHSBGJBTRVFPT EPJTUJSBSBN 4PNBNPTBTGPUPHSBGJBTRVFBNCPTUJSBSBN $"-$6-" 15 15 4PMVÎÍP0TEPJTUJSBSBNGPUPHSBGJBT 7&3*'*$" 25→"$MBSBUJSPVNBJTGPUPHSBGJBTEPRVFP.BOVFM 15→0TEPJTUJSBSBNGPUPHSBGJBT

1

/VNDBGÏSFDFCFSBNPOUFNVNBFODPNFOEBEFFNCBMBHFOTEFTVNPTDPNQBDPUFTEF TVNPDBEB%FNBOIÍTFSWJSBN 2VBOUPTQBDPUFTEFTVNPMIFTSFTUBN

2

/VNKPHPEFCBTRVFUFCPM P.ÈSJPBOPUPVUSJQMPTFDFTUPTEFEPJTQPOUPT2VBOUPTQPOUPT BOPUPVP.ÈSJP

3

"VNBHSVUBDIFHBSBNDBSSPTDPNQFTTPBTDBEBVNFNBJTQFTTPBTFNBVUPDBSSPT 2VBOUPTWJTJUBOUFTBNBJTDIFHBSBNFNBVUPDBSSPTEPRVFOPTDBSSPT

4

*/7&/5"&TDSFWFVNQSPCMFNBFQFEFBPUFVDPMFHBRVFPSFTPMWBTFHVJOEPPTRVBUSPQBTTPT


359

PARTE

Mais recursos

4

5FOUBUJWBFFSSP 3FTPMWFPTQSPCMFNBTSFBMJ[BOEPUFOUBUJWBTTVDFTTJWBT"OUFTEFGB[FSVNBOPWBUFOUBUJWBQSFTUB BUFOÎÍPBPTSFTVMUBEPTEBTUFOUBUJWBTBOUFSJPSFT

")FMFOBFTDSFWFVOVNQBQFMUSÐTOÞNFSPT DPOTFDVUJWPT%FTBGJPVPTTFVTBNJHPTQBSBRVF BEJWJOIBTTFNRVBJTTÍPFDPNPQJTUBEJTTFMIFT RVFBTPNBEPTUSÐTÏJHVBMB 2VFOÞNFSPTTÍP $PNFÎBNPTBUFOUBSDPNP PFP 115 $PNPPSFTVMUBEP ÏNFOPSEPRVF UFOUFNPTDPN OÞNFSPTNBJTBMUPT1PSFYFNQMP F 115 /FTUFDBTPVMUSBQBTTÈNPTPT 5FOUFNPTDPNOÞNFSPTNBJTCBJYPTEPRVF FNBT NBJPSFTEPRVF F 5FOUFNPTDPN F 115 0SFTVMUBEPÏ BTPNBRVFQSPDVSÈWBNPT 4PMVÎÍP0TOÞNFSPTTÍP F

360

1

"TJEBEFTEPTUSÐTJSNÍPTEB"VSPSBTÍPUSÐTOÞNFSPT EFVNBMHBSJTNP DPOTFDVUJWPT 0TFVQSPEVUPÏ2VFJEBEFTUÐN

2

0.BSDPDPMIFVOBTVBIPSUBUSÐTBCØCPSBT UPEBTDPNVNQFTPNBJPSEPRVFLH"NBJPSQFTB LHFOPUPUBMQFTBNLH 2VBMÏPQFTPEBDBEBBCØCPSB )ÈNBJTEPRVFVNBTPMVÎÍP

3

5SÐTBNJHPTDPSSFSBNOVNBQSPWBDPNDPSSFEPSFT0TTFVTUSÐTEPSTBJTFSBNOÞNFSPTEFEPJT BMHBSJTNPTDPOTFDVUJWPTFPTFVQSPEVUPFSB 2VFOÞNFSPTUJOIBNPTUSÐTBNJHPTOPTEPSTBJT

4

"3FCFDBFTDSFWFVUSÐTGSBDÎÜFTEJGFSFOUFTDPNEFOPNJOBEPS "TUSÐTGSBDÎÜFTTÍPNFOPSFTEPRVFBVOJEBEFFBTPNBEPTTFVTOVNFSBEPSFTÏJHVBMB 2VFGSBDÎÜFTFTDSFWFVB3FCFDB )ÈNBJTEPRVFVNBTPMVÎÍP

5

*/7&/5"&TDSFWFVNQSPCMFNBRVFQPTTBSFTPMWFSTFQPSUFOUBUJWBFFSSP 1PEFTFSQBSFDJEPBVNEPTQSPCMFNBTEFTUBQÈHJOB


PARTE

3FTPMWFSVNQSPCMFNBDPNFÎBOEPQFMPGJN

4 Mais recursos

1PSWF[FTQBSBSFTPMWFSVNQSPCMFNBUFNPTEFDPNFÎBSQPSVUJMJ[BSPTEBEPTEPGJOBMFJS SFUSPDFEFOEP3FTPMWFEFTUBGPSNBPTTFHVJOUFTQSPCMFNBT

6NFTDSJUPSWFOEFVVNBDFSUBRVBOUJEBEFEFMJWSPT OPNÐTFNRVFPTFVMJWSPGPJQPTUPËWFOEB /PTFHVOEPNÐTWFOEFVMJWSPTBNBJTEPRVFOP QSJNFJSP FOPUFSDFJSPNÐTWFOEFVMJWSPT PUSJQMP EPRVFWFOEFVOPTFHVOEPNÐT 2VBOUPTMJWSPTWFOEFVOPQSJNFJSPNÐT 'B[FNPTVNFTRVFNBFFTDSFWFNPTPTEBEPT

1 NÐT

3 NÐT

NÐT

3FUSPDFEFNPTDPNFÎBOEPQFMPGJOBM$BMDVMBNPTQSJNFJSP RVBOUPTWFOEFVOPTFHVOEPNÐT EJWJEJOEPQPS F EFQPJT PRVFWFOEFVOPQSJNFJSPNÐT TVCUSBJOEP B 1 NÐT

2

3

NÐT

NÐT

4PMVÎÍP/PQSJNFJSPNÐTWFOEFVMJWSPT

1

0-VÓTUJOIBOBTVBDPOUBBMHVNBTQPVQBOÎBT0OUFNHBTUPVûFIPKFSFDFCFVVNEFQØTJUP EFû"DUVBMNFOUFUFNOBTVBDPOUBû2VBOUPEJOIFJSPUJOIBEFQPVQBOÎBTBOUFTEF POUFN

2

".BSUBDPNQSPVVNTBDPEFNPSBOHPT(BTUPVFNHQBSBGB[FSVNCBUJEP FBHPSBUFN H VNRVBSUPEPRVFMIFSFTUPVBQØTGB[FSPCBUJEP2VBOUBTHSBNBTEFNPSBOHPTDPNQSPV

3

6NHSVQPEFQFTTPBTDPOIFDJBOBTFHVOEBGFJSBVNTFHSFEP%FTFHVOEBBTFYUB POÞNFSP UPUBMEFQFTTPBTRVFDPOIFDJBNPTFHSFEPGPJFNDBEBEJBPUSJQMPEPEJBBOUFSJPS /BTFYUBQFTTPBTTBCJBNOP2VBOUBTQFTTPBTDPOIFDJBNPTFHSFEPOBTFHVOEB

4

*/7&/5"&TDSFWFVNQSPCMFNB QBSFDJEPDPNPTEFTUBQÈHJOB RVFTFQPTTBSFTPMWFSDPNFÎBOEP QFMPGJOBM


361

PARTE

Mais recursos

4

'B[FSVNEFTFOIP &NBMHVOTQSPCMFNBTHFPNÏUSJDPT ÏÞUJMGB[FSVNEFTFOIPRVFSFQSFTFOUFPFOVODJBEP3FTPMWF FTUFTQSPCMFNBTEFTTBGPSNB

0$BSMPTEFTFOIPVEPJTÉOHVMPTSFDUPT BEKBDFOUFT%FQPJT USBÎPVBTCJTTFDUSJ[FT EPTEPJTÉOHVMPT 2VBOUPNFEFPÉOHVMPRVFGPSNBN BTCJTTFDUSJ[FT 7BNPTGB[FSPEFTFOIPTFHVJOEPBTJOTUSVÎÜFT EPFOVODJBEP %FTFOIBNPTVNÉOHVMPEF

%FTFOIBNPTVNÉOHVMPEF BEKBDFOUF BFMF

90º 90º

5SBÎBNPTBTCJTTFDUSJ[FTEPTEPJTÉOHVMPT

.FEJNPTPÉOHVMPRVFGPSNBNBT CJTTFDUSJ[FT BWFSEF NFEF 90º

4PMVÎÍP0ÉOHVMPGPSNBEPQFMBTCJTTFDUSJ[FTNFEF

362

1

"#FBUSJ[EFTFOIBVNÉOHVMPEFFVNÉOHVMPEFRVFTÍPBEKBDFOUFT%FQPJT USBÎBBT TVBTCJTTFDUSJ[FT2VFÉOHVMPGPSNBNFTTBTCJTTFDUSJ[FT "TCJTTFDUSJ[FTEFRVBMRVFSQBSEF ÉOHVMPTBEKBDFOUFTGPSNBNFTTFUJQPEFÉOHVMP

2

"$MBSBEFTFOIPVVNUSJÉOHVMPSFDUÉOHVMPEFNBOFJSBBRVFDBEBMBEPEPÉOHVMPSFDUPNFEJTTF DN%FQPJT USBÎPVBNFEJBUSJ[EFVNEFTTFTMBEPTF QPSGJN BCJTTFDUSJ[EPÉOHVMPSFDUP &TTBTEVBTSFDUBTJOUFSTFDUBNTF


PARTE

4

*NBHJOBSPQSPCMFNBSFTPMWJEP

Mais recursos

&NBMHVOTQSPCMFNBTHFPNÏUSJDPT ÏÞUJMGB[FSVNFTCPÎPEBGJHVSBRVFRVFSFNPTEFTFOIBSQBSB BWFSJHVBSRVBMPNÏUPEPBTFHVJSOPNPNFOUPEFBDPOTUSVJS3FTPMWFFTUFTQSPCMFNBTEFTTBGPSNB

0$BSMPTEFTFOIPVVNTFHNFOUPFRVFS EFTFOIBSVNUSJÉOHVMPJTØTDFMFTEFNBOFJSB BRVFFTTFTFHNFOUPTFKBPMBEPEFTJHVBMEP USJÉOHVMPJTØTDFMFT $PNPQPEFEFTFOIBSFTTFUSJÉOHVMP

2 cm

'B[FNPTVNFTCPÎPBQSPYJNBEPEPUSJÉOHVMPRVF RVFSFNPTEFUFSNJOBS C

1PSTFSVNUSJÉOHVMPJTØTDFMFTTBCFNPTRVFPTMBEPTACFBCUÐNRVFUFS PNFTNPDPNQSJNFOUP 1PSUBOUP QBSBEFTFOIBSPUSJÉOHVMPOFDFTTJUBNPTRVFFTTBDPOEJÎÍPTFKB DVNQSJEB

A

B

1BSBEFTFOIBSPUSJÉOHVMPGBSFNPTPTFHVJOUF

5SBÎBSPTFHNFOUPAB "CSJSPDPNQBTTPOVNDPNQSJNFOUPEJGFSFOUFEFABFNBJPSEPRVFBTVBNFUBEF &TTFDPNQSJNFOUPTFSÈBEPTEPJTMBEPTJHVBJTACFBC'JYBSFNAFUSBÎBSVNBSDP $ PNPNFTNPDPNQSJNFOUP GJYBSFNBFUSBÎBSPVUSPBSDPRVFJOUFSTFDUBSÈPBOUFSJPS 6OJSPQPOUPEFJOUFSTFDÎÍPEPTEPJTBSDPT PQPOUPC BPTWÏSUJDFTAFB 'B[OPUFVDBEFSOPBDPOTUSVÎÍPFWFSJGJDBRVFPNÏUPEPFTUÈDPSSFDUP

1

""EFMBJEFUSBÎPVVNTFHNFOUPAB2VFSDPOTUSVJSVNUSJÉOHVMPFRVJMÈUFSPEFNBOFJSBBRVFP TFHNFOUPSFGFSJEPTFKBVNEPTMBEPTEPUSJÉOHVMP$PNPQPEFGB[ÐMP

A

2

B

0"OUØOJPEFTFOIPVVNRVBESBEPEFWÏSUJDFTA B CFD2VFSUSBÎBSVNBDJSDVOGFSÐODJBRVF QBTTBQFMPTRVBUSPWÏSUJDFTEPRVBESBEP$PNPQPEFGB[ÐMP D

C


363

PARTE

Mais recursos

4

Fazer uma tabela Em alguns problemas, é útil fazer uma tabela para ir organizando de forma ordenada a procura de soluções para o problema. Resolve estes problemas dessa forma.

A Carmo tem um peso de 1 kg, outro de 2 kg e outro de 5 kg. Tem também um saco de pano e um saco de farinha. Pretende averiguar todas as quantidades em quilogramas que pode pesar usando os pesos, o saco, a farinha e uma balança. 7BNPTDPOTUSVJSVNBUBCFMBOBRVBMJSFNPT BOPUBOEPBTRVBOUJEBEFTRVFQPEFNPTQFTBS *SFNPTQBTTPBQBTTP QSJNFJSPWFSFNPTTF QPEFNPTQFTBSLH EFQPJTLHyFBTTJN TVDFTTJWBNFOUF 1BSBQFTBSRVJMPHSBNBDPMPDBSFNPTOPQSBUP FTRVFSEPPQFTPEFLHFOPEJSFJUPPTBDPWB[JP &ODIFNPTPTBDPDPNGBSJOIBBUÏPTQSBUPTEB CBMBOÎBGJDBSFNFRVJMJCSBEPT

5 kg 1 kg 2 kg

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1

Que quantidades em quilogramas poderia a Carmo pesar se tivesse pesos de 1 kg, 3 kg e 9 kg?

2

O Marco tem 3 bolas com o mesmo aspecto e uma balança. Uma das bolas pesa mais do que as outras duas, que têm o mesmo peso. Quantas vezes terá o Marcos que usar a balança para ter a certeza de qual é a bola mais pesada? E se tivesse 4 bolas?

3

INVENTA. Escreve um problema que seja mais simples de resolver com uma tabela. Podes fazê-lo parecido com os problemas desta página.


PARTE

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4 Mais recursos

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365

PARTE

Mais recursos

4

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PARTE

4

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367

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Mais recursos

4

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PARTE

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4

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369

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4

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PARTE

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30 m

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1

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3

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371

PARTE

Mais recursos

4

Reduzir o problema a outro problema conhecido Resolve os problemas reduzindo-os primeiro a um problema que saibas resolver.

Uma investigadora cultiva plantas num viveiro formado por parcelas quadradas com zonas de terra rectangulares. No esquema tens o viveiro e as dimensões de cada parcela. Qual é a área do viveiro que não tem terra? 1BSBSFTPMWFSPQSPCMFNB PNBJT BEFRVBEPÏSFEV[JMPBVNQSPCMFNB RVFTBJCBNPTSFTPMWFSDBMDVMBSBÈSFB TFNUFSSBEFDBEBVNBEBTQBSDFMBTRVBESBEBTRVFGPSNBNPWJWFJSP t "ÈSFBTFNUFSSBFNDBEBQBSDFMBÏJHVBMËÈSFBEPRVBESBEPNFOPTBÈSFBEPSFDUÉOHVMP

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Solução:/PWJWFJSPIÈN2TFNUFSSB

1

O Paulo fez uma almofada. Qual é a área da almofada que tem tonalidade mais escura?

10 cm

15 cm

15 cm

10 cm

2

A Beatriz desenhou um logótipo. Qual é a área da zona com tonalidade mais escura do logótipo? 6 cm

3

372

6 cm

8 cm

4 cm

INVENTA. Escreve um problema parecido com os desta página que possa resolver-se reduzindo-o a outro problema conhecido.


PARTE

4

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Mais recursos

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1

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373

PARTE

Mais recursos

4

Problemas t t t t t t t t t t t t t t

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374

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389

PARTE

4

'*$)" 1SPCMFNBT

1

TURMA:

Mais recursos

N.O:

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DATA:

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375

PARTE

4 Mais recursos

'*$)" 1SPCMFNBT N.O:

NOME:

1

TURMA:

DATA:

0)FOSJRVFGPJDPNPTFVQBJBPTVQFSNFSDBEP$PNQSBSBNQBDPUFTEFMFJUF QJ[BTFLHEF QJNFOUPT0TFVQBJQBHPVDPNVNBOPUBEFû2VBOUPEJOIFJSPMIFEFWPMWFSBNEFUSPDP

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PARTE

4

'*$)" 1SPCMFNBT

1

TURMA:

Mais recursos

N.O:

NOME:

DATA:

&NDBEBSBNPEFOPJWB B$BSNPDPMPDBNBSHBSJEBT)PKFSFDFCFVQBDPUFTDPN NBSHBSJEBTDBEBVN2VBOUPTSBNPTDPNPNFTNPOÞNFSPEFNBSHBSJEBTQPEFQSFQBSBS 2VBOUBTNBSHBSJEBTMIFTPCSBN

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377

PARTE

4 Mais recursos


NOME:

1

TURMA:

DATA:

0-VÓTUFNGPUPHSBGJBTOPTFVBSRVJWP(VBSEPVFNDBJYBTFBTSFTUBOUFTEJWJEJVFN QBTUBTRVFUJOIBWB[JBT2VBOUBTGPUPHSBGJBTDPMPDPVFNDBEBQBTUB Tenho 5 pastas como esta.

Fotografias

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378


PARTE

4

'*$)" 1SPCMFNBT

1

TURMA:

Mais recursos

N.O:

NOME:

DATA:

"5FSFTBUFNOBNFTBEPFTDSJUØSJPVNGFUPRVFSFHBBDBEBEJBTFVNDBDUPRVFSFHBBDBEB EJBT)PKFSFHPVBTEVBTQMBOUBT%FOUSPEFRVBOUPTEJBTWPMUBSÈBSFHBSBTEVBTQMBOUBT TJNVMUBOFBNFOUF

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4VCUSBJSFTPNBS %JWJEJS .VMUJQMJDBS


379

PARTE

4 Mais recursos


NOME:

1

TURMA:

DATA:

/PQÈUJPEFTUFDPMÏHJPQSFUFOEFTFQMBOUBSÈSWPSFTQBSBRVFEÐFNTPNCSB EFNPEPRVF FTUFKBNUPEBTËNFTNBEJTUÉODJBFIBKBVNBFNDBEBFTRVJOB1BSBQMBOUBSPNFOPSOÞNFSP EFÈSWPSFTQPTTÓWFM RVBMÏBEJTUÉODJBNÈYJNBRVFTFNBOUFSÈFOUSFBTÈSWPSFT

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380


PARTE

4

'*$)" 1SPCMFNBT

1

TURMA:

Mais recursos

N.O:

NOME:

DATA:

0"ESJBOPDPNQSPVDBJYBTDPNEÞ[JBTEFPWPTDBEBVNB 2VBOUPTPWPTDPNQSPVP"ESJBOP

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$BMDVMB

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4PNBS 4VCUSBJS .VMUJQMJDBS


381

PARTE

4 Mais recursos


NOME:

1

TURMA:

DATA:

0TSBQB[FTFSBQBSJHBTEPDMVCFKVWFOJMEPCBJSSPFTUÍPBGB[FSVNpuzzleHJHBOUFDPNQFÎBT 3 +ÈDPMPDBSBN QBSUFTEBTQFÎBT2VBOUBTQFÎBTDPMPDBSBN 4

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PARTE

4

'*$)" 1SPCMFNBT

1

TURMA:

Mais recursos

N.O:

NOME:

DATA:

"VNcastingQBSBVNQSPHSBNBEFUFMFWJTÍP BQBSFDFSBNSBQB[FTEFTTFTSBQB[FTFSBN MPJSPT FSBNNPSFOPTFPTSFTUBOUFTFSBNSVJWPT2VBOUPTSBQB[FTSVJWPTBQBSFDFSBNOPcasting

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1BSBBFTUSFJBEFVNBQFÎBEFUFBUSPOPDFOUSPDVMUVSBM UÐNEFWFOEFSCJMIFUFT 2VBOUPTCJMIFUFTMIFTGBMUBWFOEFS Já vendemos 15% dos bilhetes.

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383

PARTE

4 Mais recursos


NOME:

1

TURMA:

DATA:

&TUBÏBGBNÓMJB"[FWFEP2VBMÏBBMUVSBNÏEJBEFUPEPTPTNFNCSPTEBGBNÓMJB"[FWFEP

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384


PARTE

4

'*$)" 1SPCMFNBT

1

TURMA:

Mais recursos

N.O:

NOME:

DATA:

0TBMVOPTEPFEPBOPTWÍPOVNBFYDVSTÍPFNBVUPDBSSPTEFDPSFTEJGFSFOUFT0BVUPDBSSP B[VMKÈQFSDPSSFVLNFN0WFSEFWBJNBUSÈTEPB[VMFNËGSFOUFEPBVUPDBSSP WFSNFMIP0BVUPDBSSPBNBSFMPWBJLNFNËGSFOUFEPWFSNFMIP2VBOUPTRVJMØNFUSPT QFSDPSSFVPBVUPDBSSPBNBSFMP 2VFBVUPDBSSPWBJFNÞMUJNP

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385

PARTE

4 Mais recursos


NOME:

1

TURMA:

DATA:

"SPEBEFVNDBNJÍPNFEFDNEFEJÉNFUSP 2VBOUPTDFOUÓNFUSPTBWBOÎBSÈBSPEBEFDBEBWF[RVFEFSVNBWPMUBDPNQMFUB

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386


PARTE

4

'*$)" 1SPCMFNBT

1

TURMA:

Mais recursos

N.O:

NOME:

DATA:

0DIÍPEPUFSSBÎPEBDBTBEP»TDBSNFEFDNEFDPNQSJNFOUPFDNEFMBSHVSB 2VBOUPTB[VMFKPTEFDN2TÍPOFDFTTÈSJPTQBSBDPCSJSPDIÍP

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6NBTPNB 6NBNVMUJQMJDBÎÍP 6NBTVCUSBDÎÍP


387

PARTE

4 Mais recursos


NOME:

1

TURMA:

DATA:

O salão da casa do José tem uma forma rectangular com as seguintes medidas: 4 m de comprimento por 3 m de largura. O José pretende comprar um tapete para o centro da sala de forma que, depois de colocada, fique apenas visível 50 cm do solo a toda a volta. Quantos metros quadrados tem de medir o tapete?

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$BMDVMB

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.VMUJQMJDBSFTVCUSBJS %JWJEJS %JWJEJSFTPNBS 2

Para construir uma piscina no jardim, deram-nos o plano seguinte. Que medidas terá a piscina? Quantos metros quadrados mede a piscina?

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4VCUSBJS .VMUJQMJDBSFTVCUSBJS 4PNBSFEJWJEJS 388


PARTE

4PMVÎÜFTEBTGJDIBTEFQSPCMFNBT

Mais recursos

'*$)"

4

1«(

1 15 5

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389

PARTE

Mais recursos

4

'*$)"

1«(

1 15 EF5 25

2 EF5 25

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1«(

1 1 1 1 5 5

2 2 11 5 313131351115 5

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390


PARTE

Mais recursos

4 Cálculo mental t 1. t 2. t 3. t 4. t 5. t 6. t 7. t 8. t 9. t 10. t 11. t 12. t 13. t 14. t 15. t 16. t 17. t 18. t 19. t 20. t 21. t 22. t . t . t 25. t 26. t 27. t 28. t . t 30. t . t . t 33. t . t . t . t 37. t 38. t 3 9. t . t . t . t . t . t . t 46. t 47. t 48.

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392 392 392 392 392 392 393 393 393 393 393 393 393 395 395 395 395 395 395 395 399 399 399

391

PARTE

4 Mais recursos

$ÈMDVMPNFOUBM 1

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PARTE

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Mais recursos

2

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t

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393

PARTE

Mais recursos

4

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t 1 4 1

t 11

t 1 6 1 3

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t 1 34 1

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t 3

.VMUJQMJDBEFDJNBJTQPS F 35 [FSPT→DBTBTËEJSFJUB

19 %JWJEFVNOÞNFSPOBUVSBMPVVNEFDJNBMQPS F 5 [FSPT→DBTBTËFTRVFSEB

t

t

t

t

t

t

t

t

t

%JWJEFEF[FOBTFDFOUFOBTQPS 5

t

t

t

t

t t

t

t

t

t

t

t

t

t

t

t


5

PARTE

21 Divide um número com todos os seus algarismos pares por 2. t

t

t

t

t

t

t

t

t

t

t

4 Mais recursos

5

t

22 Divide um número par que não tenha todos os seus algarismos pares por 2.

5 5 15

t

t

t

t

t

t

t

t

t

t 3

t 3

t 3

t 3

t 3

t 3

t 3

t 3

t 3

t 3

t 3

t 3

23 Multiplica por 5: multiplica por 10 e divide por 2. 3

3

24 Multiplica por 50: multiplica por 100 e divide por 2. 3

3

25 Divide por 5: divide primeiro por 10 e depois multiplica por 2.

3

t

t

t

t

26 Divide por 50: divide primeiro por 100 e depois multiplica por 2.

3

t

t

t

t

27 Calcula 10% de um número: divide por 10. EF

5

t EF

t EF

t EF

t EF

t EF

t EF

t EF

t EF

t EF


395

PARTE

Mais recursos

4

$BMDVMBBUÏEFVNOÞNFSP EF

7 35 5

t EF

t EF

t EF

t EF

t EF

t EF

t EF

t EF

t EF

t EF

t EF

t EF

t EF

t EF

t EF

t EF

29 4PNBQPSDPNQFOTBÎÍPTPNBFTVCUSBJPNFTNPOÞNFSPËTEVBTQBSDFMBTQBSBRVFPQSJNFJSP TFKBVNBEF[FOB 13

47 1515 23

t 1

t 1

t 1

t 1 47

t 1 36

t 1 37

t 1

t 1

t 1 64

t 1

t 1

t 1

t 1 76

t 1 41

t 1

t 1

4PNBQPSDPNQFOTBÎÍPTVCUSBJFTPNBPNFTNPOÞNFSPËTEVBTQBSDFMBTQBSBRVFPQSJNFJSP TFKBVNBEF[FOB 24

34 1 77 515 111 14

t 1 37

t 1 33

t 1 16

t 1

t 1

t 1 17

t 1

t 1

t 1 46

t 1

t 1

t 1 44

t 1

t 1

t 1

t 1

31 4VCUSBJQPSDPNQFOTBÎÍPTPNBPNFTNPOÞNFSPBPTEPJTUFSNPTQBSBRVFPTFHVOEPTFKBVNB EF[FOB 1

74 25 76 25 46 1

t 2

t 2

t 2

t 2 36

t 2

t 2

t 2 37

t 2 46

t 2

t 2

t 2 47

t 2

t 2

t 2

t 2 67

t 2 66

32 4VCUSBJQPSDPNQFOTBÎÍPTVCUSBJPNFTNPOÞNFSPBPTEPJTUFSNPTQBSBRVFPTFHVOEPTFKB VNBEF[FOB 23

74 25 71 25 23

t 2 11

t 2

t 2

t 2 34

t 2

t 2

t 2 43

t 2 44

t 2 31

t 2

t 2 63

t 2 74

t 2 41

t 2

t 2 73

t 2 64

t 3

t 3

t 3

t 3

t 3

t 3

t 3

t 3

t 3

t 3

t 3

t 3

t 3

t 3

t 3

t 3

33 .VMUJQMJDBVNOÞNFSPOBUVSBMQPS

47 3

35 7 35 14 1 14 5


PARTE

.VMUJQMJDBVNOÞNFSPOBUVSBMQPSNVMUJQMJDBQPSFEJWJEFQPS

74

3

t 3

t 3

t 3

t 3

t 3

t 3

t 3

t 3

t 3

t 3

t 3

4 Mais recursos

3

t 3

35 .VMUJQMJDBVNOÞNFSPOBUVSBMQPSNVMUJQMJDBQPSFEFQPJTTPNBPOÞNFSP 3 11

1

1

15253{

14243

11

3

t 3 11

t 3 11

t 3 11

t 3 11

t 3 11

t 3 11

t 3 11

t 3 11

t 3 11

t 3 11

t 3 11

t 3 11

.VMUJQMJDBVNOÞNFSPOBUVSBMQPSNVMUJQMJDBQPSFEFQPJTTVCUSBJPOÞNFSP 3

2

1

15253 {

14243

3

t 3

t 3

t 3

t 3

t 3

t 3

t 3

t 3

t 3

t 3

t 3

t 3

.VMUJQMJDBVNOÞNFSPOBUVSBMQPSNVMUJQMJDBQPSFEFQPJTTPNBPOÞNFSP 3

3

1

15253{

14243

1

t 3

t 3

t 3

t 3

t 3

t 3

t 3

t 3

t 3

t 3

t 3

t 3

.VMUJQMJDBVNOÞNFSPOBUVSBMQPSNVMUJQMJDBQPSFEFQPJTTVCUSBJPOÞNFSP 3

3

1

15253{

14243

2

t 3

t 3

t 3

t 3

t 3

t 3

t 3

t 3

t 3

t 3

t 3

t 3


PARTE

Mais recursos

4

39 &TUJNBPWBMPSEBTTPNBT GB[FOEPBQSPYJNBÎÜFTEFOÞNFSPTEFDJNBJTËTVOJEBEFT → 4 →

1

4 15 6

t 1

t 1

t 1

t 1

t 1

t 1

t 1 6

t 1

t 1

&TUJNBPWBMPSEBTTVCUSBDÎÜFT GB[FOEPBQSPYJNBÎÜFTEFOÞNFSPTEFDJNBJTËTVOJEBEFT → → 3

2

2 3 5

t 2

t 2

t 2

t 2

t 2

t 2

t 2 7

t 2

t 2

t 1

t 1

t 1 7

t 1 7

t 1

t 1 3

t 1 3

t 1

t 1

t 2 4

t 2 3

t 2

t 2 7

t 2 4

t 2 4

t 2 6

t 2

t 2 3

4PNBVNOÞNFSPEFDJNBMFVNOÞNFSPOBUVSBM

1

4VCUSBJVNOÞNFSPOBUVSBMBVNOÞNFSPEFDJNBM

2

&TUJNBPWBMPSEPTQSPEVUPT GB[FOEPBQSPYJNBÎÜFTEPOÞNFSPEFDJNBMËTVOJEBEFT 3 7

→ 4

4 3 7 5

t 3

t 3

t 3

t 3 4

t 3

t 3

t 3 6

t 3

t 3

t 3

t 3

t 3

.VMUJQMJDBVNOÞNFSPEFDJNBMQPSEF[FOBTFDFOUFOBT 3

3

34

t 3

t 3

t 3

t 3

t 3

t 3

t 3

t 3

t 3

t 3

t 3

t 3

t 3

t 3

t 3

t 3

$BMDVMBPVNVMUJQMJDBQPS EJWJEFQPS EF →5 3

t EF

t EF

t EF

t EF

t EF

t EF

t 3

t 3

t 3

t 3

t 3

t 3


PARTE

$BMDVMBPVNVMUJQMJDBQPS EJWJEFQPS t EF

t EF

t EF

t EF

t EF

t 3

t 3

t 3

t 3 6

t 3 36

t 3

t EF

t EF

t EF

t EF

t EF

t EF

t 3

t 3

t 3

t 3

t 3

t 3

t EF

t EF

t EF

t EF

t EF

t EF

t 3

t 3

t 3

t 3

t 3

t 3

4 Mais recursos

EF →5 3

t EF

$BMDVMBPVNVMUJQMJDBQPS EJWJEFQPS EF →5 7 3

$BMDVMBPVNVMUJQMJDBQPS EJWJEFQPS EF →5 7 3


399

PARTE

Mais recursos

4

A calculadora t t t t t t t

"DBMDVMBEPSB "VUJMJ[BÎÍPEBDBMDVMBEPSB FICHA 1 0QFSBÎÜFTDPNOÞNFSPTOBUVSBJT FICHA 2 0QFSBÎÜFTDPNOÞNFSPTDPNCJOBEPT FICHA 3 )JFSBSRVJBEBTPQFSBÎÜFT FICHA 4 1FSDFOUBHFN FICHA 5 0QFSBÎÜFTDPNCJOBEBT

t 4PMVÎÜFTEBTGJDIBTEFQSÈUJDBDPNBDBMDVMBEPSB

400

401 402 404 405 406 407 408

409

PARTE

4

"DBMDVMBEPSB

Mais recursos

Teclando ON a calculadora fica ligada.

Mostrador onde aparecem os números e os resultados.

Teclando $ apaga-se o que aparece no mostrador e aparece o 0. Símbolo de divisão. Símbolo de multiplicação. Símbolo de subtracção. Símbolo de soma. Símbolo de igual.

É a vírgula dos decimais.


401

PARTE

Mais recursos

4

"VUJMJ[BÎÍPEBDBMDVMBEPSB 1

$PNPDBMDVMBSVNUBOUPQPSDFOUPEFVNOÞNFSP 0CTFSWBDPNPTFDBMDVMBEFDPNBDBMDVMBEPSB 5% de 120 5

5 3 120 56 100 Para calcular 5% de 120 tecla ON

2

3

$PNPDBMDVMBSEJWJTÜFTDPNOÞNFSPTEFDJNBJT EJWJTÍPDPNOÞNFSPTEFDJNBJTOBDBMDVMBEPSBGB[TFEFGPSNBBOÈMPHBËEJWJTÍPEFOÞNFSPTOBUVSBJT " 0CTFSWBDPNPTFGB[FNBTTFHVJOUFTEJWJTÜFT

Para calcular 51 : 4,25 tecla ON

:

4

5

8

5

5

Para calcular 32,48 : 5,8 tecla ON

4

8

:

Para calcular 29,7 : 75 tecla ON

3

9

7

:

7

'BDUPSDPOTUBOUF

0CTFSWBDPNPTFQPEFGB[FSDPNBDBMDVMBEPSBBNVMUJQMJDBÎÍP3333

t 1SJNFJSBGPSNB

tecla ON

402

3

3

3

3


5

PARTE

t 4FHVOEBGPSNB

4 Mais recursos

tecla

ON

3 3

ON

3 3

5 5 5 5

t 5FSDFJSBGPSNB

tecla

5 5 5 5

)ÈDBMDVMBEPSBTFNRVFFTUBNVMUJQMJDBÎÍPQPEFGB[FSTFBQFOBTDBSSFHBOEPVNBWF[OBUFDMB 3

4

0QFSBÎÜFTDPNCJOBEBT

7BNPTDBMDVMBSEPJTUJQPTEFFYQSFTTÜFTDPNPQFSBÎÜFTDPNCJOBEBT

t & YQSFTTÜFTFNRVFBQBSFDFBNVMUJQMJDBÎÍPBOUFTEBTPNBPVEBTVCUSBDÎÍP 1PSFYFNQMP 32

tecla ON

3

2

4

5

t &YQSFTTÜFTFNRVFBQBSFDFBTPNBPVBTVCUSBDÎÍPBOUFTEBNVMUJQMJDBÎÍP 1PSFYFNQMP 23/FTUFDBTP QPEFTFFGFDUVBSEFEVBTGPSNBTEJGFSFOUFT

1SJNFJSBGPSNB4FBDBMDVMBEPSBSFTQFJUBBQSJPSJEBEFEBNVMUJQMJDBÎÍPTPCSFBTPNB FBTVCUSBDÎÍP

tecla ON 8

2

3

5

4FHVOEBGPSNB4FBDBMDVMBEPSBOÍPSFTQFJUBBQSJPSJEBEFEBNVMUJQMJDBÎÍPTPCSFBTPNB FBTVCUSBDÎÍP

tecla ON

3

2

8

5


403

PARTE

Mais recursos

4

'*$)" 0QFSBÎÜFTDPNOÞNFSPTOBUVSBJT /0:

/0.&:

563.":

%"5":

3FTPMWFBTTFHVJOUFTPQFSBÎÜFT%FQPJT WFSJGJDBPSFTVMUBEPDPNBUVBDBMDVMBEPSB

404

1

1

2

2

3 8

3


PARTE

4

'*$)" 0QFSBÎÜFTDPNOÞNFSPTDPNCJOBEPT 563.":

Mais recursos

/0:

/0.&:

%"5":

3FTPMWFBTTFHVJOUFTPQFSBÎÜFT%FQPJT WFSJGJDBPSFTVMUBEPDPNBUVBDBMDVMBEPSB 1

1

1

2 49

2

2

3

3


405

PARTE

Mais recursos

4

'*$)" )JFSBSRVJBEBTPQFSBÎÜFT /0:

/0.&:

563.":

%"5":

3FTPMWFBTTFHVJOUFTPQFSBÎÜFT%FQPJT WFSJGJDBPTSFTVMUBEPTDPNBUVBDBMDVMBEPSB 2 4 3 7

$PNBDBMDVMBEPSB→ 1 8 1

$PNBDBMDVMBEPSB→ 32

$PNBDBMDVMBEPSB→

406


11 4



$PNBDBMDVMBEPSB→

PARTE

4

'*$)" 1FSDFOUBHFN 563.":

Mais recursos

/0:

/0.&:

%"5":

$BMDVMBBTTFHVJOUFTQFSDFOUBHFOT%FQPJT WFSJGJDBPSFTVMUBEPDPNBUVBDBMDVMBEPSB EF

EF

EF

EF

EF

EF

EF

EF


407

PARTE

Mais recursos

4

'*$)" 0QFSBÎÜFTDPNCJOBEBT /0:

/0.&:

563.":

%"5":

$BMDVMBBTTFHVJOUFTFYQSFTTÜFT%FQPJT WFSJGJDBPSFTVMUBEPDPNBUVBDBMDVMBEPSB 3 8 1

1 4 3

31 478

13

13

32

&TDSFWFBFYQSFTTÍPOVNÏSJDBDPSSFTQPOEFOUFBDBEBGSBTF%FQPJT SFTPMWFBVUJMJ[BOEPBUVB DBMDVMBEPSB "PUSJQMPEFTPNP

→

"PEPCSPEFTVCUSBJP

→

"TPNPPUSJQMPEF

→

"TVCUSBJPPEPCSPEF →

408


PARTE

4PMVÎÜFTEBTGJDIBTEFQSÈUJDBDPNBDBMDVMBEPSB

t t t t

t t t t

1«(

15 25 3 8 5 5

'*$)"

t t t t

15 2 49 5 2 5 3 5

t 11 4 5 t 13515 t 3515

t t t t

EF5 EF5 EF5 EF5

1«(

t 3 8 15 t 31 478 5 t 135 t t t t

t t t t

1«(

EF5 EF5 EF5 EF5

'*$)"

15 25 35 5

1«(

t 2 4 3 7 525 t 1 8 15 t 32525

'*$)"

t t t t

1«(

1 5 1 5 2 5 35

'*$)"

Mais recursos

'*$)"

4

t 1 4 35 t 335 t 325

315 325 879 135 235


409

PARTE

Mais recursos

4

Planificações de sólidos geométricos t t t t t t t

410

1. 2. 3. 4. 5. 6. 7.

$VCP 1SJTNBUSJBOHVMBS 1SJTNBQFOUBHPOBM 1JSÉNJEFRVBESBOHVMBS 1JSÉNJEFQFOUBHPOBM $JMJOESP $POF

411 412 413 414 415 416 417

PARTE

1-"/*'*$"±°0%&4»-*%04(&0.²53*$04

4 Mais recursos

$VCP


411

PARTE

Mais recursos

4

1-"/*'*$"±°0%&4»-*%04(&0.²53*$04 1SJTNBUSJBOHVMBS

412


PARTE

1-"/*'*$"±°0%&4»-*%04(&0.²53*$04

4 Mais recursos

1SJTNBQFOUBHPOBM


413

PARTE

Mais recursos

4

1-"/*'*$"±°0%&4»-*%04(&0.²53*$04 1JSÉNJEFRVBESBOHVMBS

414


PARTE

1-"/*'*$"±°0%&4»-*%04(&0.²53*$04

4 Mais recursos

1JSÉNJEFQFOUBHPOBM


415

PARTE

Mais recursos

4

1-"/*'*$"±°0%&4»-*%04(&0.²53*$04 $JMJOESP

416


PARTE

1-"/*'*$"±°0%&4»-*%04(&0.²53*$04

4 Mais recursos

$POF


417

PARTE

Mais recursos

4

Jogos matemáticos t t t t t t t

418

1. 2. 3. 4. 5. 7. 8.

/ÞNFSPTBUÏOPWFBMHBSJTNPT 0QFSBÎÜFTDPNQBSÐOUFTFT 5BOHSBN 4PNBEFGSBDÎÜFTEFDJNBJT 4PNBFTVCUSBDÎÍPEFOÞNFSPTEFDJNBJT $POTUSVÎÜFTFÈSFBT 0RVBESBEPNÈHJDP

419 420 421 422 423 424 425

PARTE

4

+0(04."5&.«5*$04

Mais recursos

/ÞNFSPTBUÏOPWFBMHBSJTNPT 1SFQBSBPTTFHVJOUFTDBSUÜFTEFDBSUPMJOBDPNBTVOJEBEFTRVFTFJOEJDBN

135 unidades de milhar

15 centenas de milhar

40 dezenas de milhar


13 unidades de milhão



208 unidades de milhão

2 centenas de milhar

0SHBOJ[BÎÍPFNBUFSJBM 1. ' PSNBSHSVQPTEFUSÐTBMVOPTFQSFQBSBSVNDPOKVOUPEFDBSUÜFTQBSBDBEBHSVQP$PMPDBSPTDBSUÜFTOVN NPOUFDPNPOÞNFSPWPMUBEPQBSBCBJYP 2. $ BEBBMVOP ËWF[ SFUJSBVNDBSUÍPFFTDSFWFOVNBGPMIBPOÞNFSPEFVOJEBEFTRVFJOEJDBPEJUPDBSUÍP 1PSFYFNQMP VOJEBEFTEFNJMIÍP→ 3. $ PNQBSBSPTOÞNFSPTFTDSJUPTQFMPTUSÐTBMVOPTFDPMPDBSVNDÓSDVMPFNWPMUBEPNBJPS0BMVOPRVFP UFOIBFTDSJUPHBOIBSÈVNQPOUP 4. % FQPJTEFKPHBSBTWF[FTJOEJDBEBTQFMPQSPGFTTPSPVQFMBQSPGFTTPSB WFODFSÈPBMVOPRVFUJWFSPCUJEPNBJT QPOUPTOPUPUBM


419

PARTE

Mais recursos

4

+0(04."5&.«5*$04 Operações com parênteses Prepara os seguintes cartões em cartolina com as unidades que se indicam. 7FSNFMIP

1

10

"[VM

60

"NBSFMP

40

Organização e material: 1. ' PSNBSHSVQPTEFUSÐTBMVOPTFQSFQBSBSUSÐTDBSUÜFTWFSNFMIPTQBSBDBEBBMVOP FUSÐTDBSUÜFTB[VJTFUSÐT BNBSFMPTQBSBDBEBHSVQP 2. $BEBBMVOPEFTFOIBSÈOVNBGPMIBPTFHVJOUFFTRVFNB

( WFSNFMIP 3 ( WFSNFMIP

) 5DBSUÍPB[VM WFSNFMIP ) 5DBSUÍPBNBSFMP

WFSNFMIP 3

1 WFSNFMIP

WFSNFMIP

2

3. & NDBEBHSVQP CBSBMIBSPTDBSUÜFTB[VJTFPTDBSUÜFTBNBSFMPTFDPMPDÈMPTTFQBSBEPT FNEPJTNPOUFT WPMUBEPTQBSBCBJYP 4. $ BEBBMVOPUFSÈPTTFVTDBSUÜFTWFSNFMIPTFSFUJSBSÈEPNPOUFVNDBSUÍPB[VMFVNDBSUÍPBNBSFMP $PMPDBSÈPDBSUÍPB[VMOPMPDBMDPSSFTQPOEFOUFEPFTRVFNBFUFOUBSÈQÙSPTDBSUÜFTWFSNFMIPTFN EJGFSFOUFTQPTJÎÜFTBUÏDPOTFHVJSRVFBJHVBMEBEFFTUFKBDFSUB 5. %BNFTNBGPSNB DPNQMFUBSBTFHVOEBJHVBMEBEF DPNPTUSÐTDBSUÜFTWFSNFMIPTFPBNBSFMP 6. &NDBEBHSVQPWFODFSÈPBMVOPRVFDPNQMFUBSQSJNFJSPBTTVBTJHVBMEBEFT Completa com os números dos cartões vermelhos e os sinais 1, 2, 3 estas igualdades.

( ( ( ( 420


) ) ) )

5 16 5 60 56 5

PARTE

4

+0(04."5&.«5*$04

Mais recursos

5BOHSBN %FDBMDBFSFDPSUBPRVBESBEP

0SHBOJ[BÎÍPFNBUFSJBM 1. $ BEBBMVOPSFDPSUBSÈQFMBTMJOIBTUSBDFKBEBTPTTFUF QPMÓHPOPTRVFGPSNBNPRVBESBEP 2. $ POTUSVJSDPNPTTFUFQPMÓHPOPTSFDPSUBEPTDBEBVNB EBTTFHVJOUFTGJHVSBT


421

PARTE

Mais recursos

4

+0(04."5&.«5*$04 4PNBEFGSBDÎÜFTEFDJNBJT 1SFQBSBDBSUÜFTEFDBSUPMJOBDPNBTGSBDÎÜFTEFDJNBJTRVFTFJOEJDBN

0SHBOJ[BÎÍPFNBUFSJBM 1. ' PSNBSHSVQPTEFUSÐTBMVOPT DPMPDBSOPDFOUSP PTDBSUÜFTFSFQBSUJSQPSDBEBBMVOPEPHSVQP 2. 0 TBMVOPTPMIBSÍPQBSBPTTFVTDBSUÜFTFTFUJWFSFN BMHVNQBSEFGSBDÎÜFTDVKBTPNBTFKBJHVBMBVN OÞNFSPOBUVSBM NPTUSBNOPFEFJYBNOPBVN DBOUPEBNFTB 3. ® TPSUF EFUFSNJOBSRVFNDPNFÎB&TUFKPHBEPS DPMPDBSÈPTTFVTDBSUÜFTOBNFTBWPMUBEPTQBSBDJNB 4. 0 BMVOPRVFUJWFSVNDBSUÍPDVKBGSBDÎÍP TPNBEBBVNBEBTGSBDÎÜFTEBNFTB EFSDPNPSFTVMUBEP VNOÞNFSPOBUVSBM NPTUSBMBÈ SFUJSBSÈPTEPJTDBSUÜFTFDPMPDBSÈPVUSPDBSUÍPOBNFTB 5. 7FODFSÈPBMVOPRVFQSJNFJSPGJDBSTFNDBSUÜFT 0CTFSWBFTUFTUSÐTDBSUÜFTFSFTQPOEF

2VFGSBDÎÜFTQPEFSÍPUFSPTUSÐTDBSUÜFTUBQBEPTQBSBRVFTFGPSNFNDPNFTUFTUSÐTDBSUÜFTUSÐTQBSFT EFGSBDÎÜFTDVKBTPNBTFKBVNOÞNFSPOBUVSBM

4VCUSBDÎÍPEFGSBDÎÜFTEFDJNBJT SPDFEFSEFGPSNBBOÈMPHBBPRVFTFGF[OBBDUJWJEBEFBOUFSJPS/FTUFDBTP EFWFTFQFEJSBDBEBHSVQPRVF 1 QSPDVSFFGPSNFQBSFTEFGSBDÎÜFTDVKBEJGFSFOÎBTFKBVNOÞNFSPOBUVSBM

422


PARTE

4

+0(04."5&.«5*$04

Mais recursos

4PNBEFOÞNFSPTEFDJNBJT 1SFQBSBDJODPDBSUÜFTEFDBSUPMJOBDPNPTOÞNFSPTEFDJNBJTRVFTFJOEJDBN

0SHBOJ[BÎÍPFNBUFSJBM 1. ' PSNBSHSVQPTEFUSÐTBMVOPT1SFQBSBSFSFQBSUJSQPSDBEBHSVQPPTDJODPDBSUÜFTBOUFSJPSFTFVNBGPMIB QBSBRVFDPQJFNBTFHVJOUFUBCFMB

2. $ BEBHSVQPFTDSFWFSÈOBDBTBDPSSFTQPOEFOUF PTOÞNFSPTEPTUSÐTDBSUÜFTDVKBTPNBQFSGBÎB DBEBVNEPTOÞNFSPTJOEJDBEPTOBUBCFMB 3. 0 HSVQPRVFDPNQMFUBSQSJNFJSPBUBCFMB MFWBOUBSÈBNÍP PQSPGFTTPSPVBQSPGFTTPSB WFSJGJDBSÈOPRVBESPBTTPNBTF TFFTUJWFSFN DPSSFDUBT FTTFTFSÈPHSVQPWFODFEPS

4VCUSBDÎÍPEFOÞNFSPTEFDJNBJT 1SPDFEFSEFGPSNBBOÈMPHBBPRVFTFGF[OBBDUJWJEBEFBOUFSJPS /FTUFDBTP QFEJSBPTBMVOPTRVFQSPDVSFNFFTDSFWBNFNDBEBDBTBPTOÞNFSPTEPTEPJTDBSUÜFTDVKB TVCUSBDÎÍPTFKBPOÞNFSPJOEJDBEPOBUBCFMB


423

PARTE

Mais recursos

4

+0(04."5&.«5*$04 $POTUSVÎÜFTFÈSFBT %FDBMDBFSFDPSUBPTQPMÓHPOPTDPNRVBESÓDVMB

0SHBOJ[BÎÍPFNBUFSJBM 1. $BEBBMVOPSFDPSUBSÈPTTFJTQPMÓHPOPT 2. $POTUSVJSDPNBMHVOTEPTTFJTQPMÓHPOPTDBEBVNBEBTTFHVJOUFTGJHVSBT 3. $POUBSPTRVBESBEPTFDPNQMFUBSBÈSFBEFDBEBGJHVSBFNDFOUÓNFUSPTRVBESBEPT

424

$POTUSØJFTUBGJHVSBDPNUSÐT EPTQPMÓHPOPTSFDPSUBEPT

$POTUSØJFTUBGJHVSBDPNRVBUSP EPTQPMÓHPOPTSFDPSUBEPT

$POTUSØJFTUBGJHVSBDPNDJODP EPTQPMÓHPOPTSFDPSUBEPT

$POTUSØJFTUBGJHVSBDPNTFJT EPTQPMÓHPOPTSFDPSUBEPT


PARTE

4

+0(04."5&.«5*$04

Mais recursos

0RVBESBEPNÈHJDP ²VNKPHPQBSBEPJTPVUSÐTKPHBEPSFT"TGJDIBTDPMPDBNTFBMUFSOBEBNFOUFOPUBCVMFJSP 1FSEFPKPHBEPSRVF BPDPMPDBSBGJDIBTPCSFPUBCVMFJSP GPSNBSDPNBTPVUSBTUSÐTKÈDPMPDBEBT VNRVBESBEP 0SHBOJ[BÎÍPFNBUFSJBM +PHBTFOVNUBCVMFJSP3

1. $BEBKPHBEPSDPMPDBSÈBMUFSOBEBNFOUFVNBGJDIBOPUBCVMFJSP 2. 1 FSEFSÈPKPHBEPSRVF BPDPMPDBSBGJDIBTPCSFPUBCVMFJSP GPSNBSDPNBTPVUSBTUSÐTKÈDPMPDBEBT VNRVBESBEP3 &YQFSJNFOUBFKPHB +PHBWÈSJBTQBSUJEBTQBSBUFGBNJMJBSJ[BSFTDPNPKPHP0CTFSWBSÈTRVFËNFEJEBRVFBVNFOUBPOÞNFSP EFGJDIBTOPRVBESBEP TFUPSOBNBJTEJGÓDJMFWJUBSRVFTFGPSNFVNRVBESBEP "OPUBFNDBEBVNBEBTQBSUJEBTPOÞNFSPNÈYJNPEFGJDIBTRVFTFDPOTFHVJVDPMPDBSOPUBCVMFJSP TFNGPSNBSVNRVBESBEP


425

PARTE

NOTAS DO PROFESSOR

Mais recursos

4

426


PARTE

5 Ferramentas TIC t t t t t t t t t

BOVBMEP(FP(FCSB . $PODFJUPTEF*OUFSOFU 0RVFÏVNCMPHVF .PUPSEFCVTDB(PPHMF (PPHMF&BSUI "GPMIBEFDÈMDVMP&YDFM "QSFTFOUBÎÜFTDPN1PXFS1PJOU 4JTUFNBPQFSBUJWP8JOEPXT 4JTUFNBPQFSBUJWP-JOVY

428 438 443 452 460 464 474 478 480

427

PARTE

Ferramentas TIC

5

.BOVBMEP(FP(FCSB 0(FP(FCSBÏVNsoftwareMJWSFEF.BUFNÈUJDB%JOÉNJDBRVFKVOUB(FPNFUSJB «MHFCSBF$ÈMDVMP EBBVUPSJB EF.BSLVT)PIFOXBSUFSF:WFT,SFJTDPODFCJEPQSJODJQBMNFOUFQBSBPFOTJOPFBQSFOEJ[BHFNEB.BUFNÈUJDB OBTFTDPMBTCÈTJDBTFTFDVOEÈSJBT0downloadHSBUVJUPEP(FPHFCSBQPEFTFSFGFDUVBEPOBQÈHJOB IUUQXXXHFPHFCSBPSHDNT 0QSPHSBNBEJTQPOJCJMJ[BUSÐTWJTÜFTEJGFSFOUFTEFPCKFDUPTNBUFNÈUJDPT VNBWJTÍPHSÈGJDB VNBWJTÍP BMHÏCSJDBPVOVNÏSJDBFVNBGPMIBEFDÈMDVMP&TUBTUSÐTWJTUBTFTUÍPJOUFSMJHBEBTEFGPSNBEJOÉNJDBFRVBMRVFS BMUFSBÎÍPOVNBEFMBTQSPWPDBBSFTQFDUJWBBMUFSBÎÍPOBTPVUSBT &TUBWFSTBUJMJEBEFEP(FP(FCSBQFSNJUFBCPSEBSUPEPTPTHSBOEFTUFNBTEPOPWPQSPHSBNBEF.BUFNÈUJDB QBSBP&OTJOP#ÈTJDP EFTEFPFTUVEPEB(FPNFUSJBËTSFHVMBSJEBEFTFSFMBÎÜFTOVNÏSJDBT ËTSFMBÎÜFT GVODJPOBJTFBPFTUVEPEBT1SPCBCJMJEBEFTFEB&TUBUÓTUJDB

;POB(SÈGJDB A Zona GráficaEJTQPOJCJMJ[BVNWBTUPDPOKVOUPEFGFSSBNFOUBTRVFQFSNJUFN BUSBWÏTEBTJNQMFTJOUFSBDÎÍP DPNPSBUP SFBMJ[BSDPOTUSVÎÜFTHFPNÏUSJDBT2VBOEPTFMFDDJPOBEBVNBGFSSBNFOUB BQBSFDFËEJSFJUBEBBarra de FerramentasVNBBKVEBQBSBBTVBVUJMJ[BÎÍP 1PSFYFNQMP OBGJHVSBBDJNBBGFSSBNFOUBFTDPMIJEB EFTUBDBEB

EFBDPSEPDPNBBKVEB TFSWFQBSBNPWFS PCKFDUPTBSSBTUBOEPPT $BEBDBJYB ÓDPOF RVFTVSHFOBBarra de FerramentasÏVNBDBJYBEFGFSSBNFOUBTRVFDPOUÏNVNDPOKVOUP EFGFSSBNFOUBTBHSVQBEBTTFHVOEPVNBEFUFSNJOBEBDBUFHPSJB QPSFYFNQMP GFSSBNFOUBTSFMBUJWBT ËPCUFOÎÍPEFQPOUPT1BSBWJTVBMJ[BSUPEBTBTGFSSBNFOUBTEJTQPOÓWFJTFNDBEBDBJYB UFNEFTFDMJDBSOB QFRVFOBTFUBEPDBOUPJOGFSJPSEJSFJUPEPÓDPOF /BTFHVOEBDBJYB BDPOUBSEBFTRVFSEB ÓDPOF

QPSFYFNQMP ÏQPTTÓWFMFODPOUSBSUSÐTUJQPTEJGFSFOUFTEF QPOUPTQPOUPMJWSF QPOUPEFJOUFSTFDÎÍPEFMJOIBTDVSWBTFQPOUPNÏEJPEFVNTFHNFOUPEFSFDUB "OPOBDBJYB JDPOF EJTQPOJCJMJ[BWÈSJBTUSBOTGPSNBÎÜFTHFPNÏUSJDBTSFGMFYÜFTOVNBSFDUB SFGMFYÜFTOVN QPOUP JOWFSTÍPOVNBDJSDVOGFSÐODJB USBOTMBÎÜFT SPUBÎÜFTFIPNPUFUJBT

;POB"MHÏCSJDB A Entrada de ComandosQFSNJUFJOTFSJSEJSFDUBNFOUFFYQSFTTÜFTBMHÏCSJDBTOP(FP(FCSB$PMPDBOEP PDVSTPSOBFOUSBEB BFYQSFTTÍPBMHÏCSJDBEJHJUBEBBQBSFDFOBZona AlgébricaFBSFTQFDUJWBSFQSFTFOUBÎÍP HSÈGJDBBQBSFDFOBZona Gráfica1PSFYFNQMP JOTFSJOEPG û 5û 1 BQBSFDFBGVOÎÍPfOBZona Algébrica FPSFTQFDUJWPHSÈGJDPOBZona Gráfica 428


PARTE

5 Ferramentas TIC

/BZona Algébrica PTPCKFDUPTNBUFNÈUJDPTTÍPDMBTTJGJDBEPTDPNPPCKFDUPTMJWSFTRVBOEPDSJBEPTTFN EFQFOEÐODJBEFRVBMRVFSPCKFDUPFYJTUFOUFFPCKFDUPTEFQFOEFOUFT — RVBOEPDSJBEPTBQBSUJSEF PVUSPTKÈFYJTUFOUFT 1BSBFTDPOEFSVNPCKFDUP OBZona Algébrica CBTUBFTQFDJGJDÈMPDPNPVNObjecto Auxiliar1BSBUBM TFMFDDJPOBTFDPNPCPUÍPEJSFJUPEPSBUPOBSFQSFTFOUBÎÍPBMHÏCSJDBEPPCKFDUPFFTDPMIFTFPropriedades OPMenu de ContextoRVFBQBSFDF%FQPJT OPTFQBSBEPSBásicoEPDiálogo de Propriedades PQUBTFQPSObjecto auxiliar1PSQSFEFGJOJÎÍP PTObjectos AuxiliaresOÍPTÍPNPTUSBEPTOBZona Algébrica NBTQPEFNVEBSTFFTUB DPOGJHVSBÎÍPTFMFDDJPOBOEPPJUFNObjectos AuxiliaresOPNFOVExibir 1PEFNNPEJGJDBSTFPCKFDUPTOB;ona Algébrica#BTUB QBSBUBM DPNBGFSSBNFOUBMoverBDUJWBEB GB[FSEVQMPDMJRVF DPNPCPUÍPFTRVFSEPEPSBUPTPCSFPPCKFDUPMJWSFFEJUBOEPPPCKFDUPF EFTFHVJEB BMUFSBSBSFQSFTFOUBÎÍP BMHÏCSJDBEPPCKFDUP 1BSBBMUFSBSVNPCKFDUPEFQFOEFOUF GB[TFVNEVQMPDMJRVFTPCSFPNFTNPFOBKBOFMBEFEJÈMPHPRVF BQBSFDFSFEFGJOFTFPPCKFDUP 0(FP(FCSBPGFSFDFVNBWBTUBHBNBEFDPNBOEPTRVFQPEFNTFSJOTFSJEPTOPCampo de Entrada #BTUB QBSBUBM BCSJSBMJTUBEFDPNBOEPTOPMBEPEJSFJUPEBBarra de Comandos DMJDBOEPOPCPUÍPComando TFMFDDJPOBOEPEFTFHVJEBPDPNBOEPQSFUFOEJEP PVEJHJUBSEJSFDUBNFOUFOPCampo de EntradaPTFVOPNF 1BSBPCUFSJOGPSNBÎÍPTPCSFBTJOUBYFFPTBSHVNFOUPTSFRVFSJEPTQBSBBQMJDBSPDPNBOEPDPSSFTQPOEFOUF CBTUB UFOEPPOPNFEFDPNBOEPOBDBJYBEFFOUSBEBFFTUBTFMFDDJPOBEB QSFTTJPOBSBUFDMBF1

'PMIBEF$ÈMDVMP $BEBDÏMVMBEBFolha de CálculoEP(FP(FCSB UBMDPNPPVUSBTGPMIBTEFDÈMDVMP UFNVNOPNFFTQFDÓGJDPRVF QFSNJUFJEFOUJGJDÈMBEJSFDUBNFOUF1PSFYFNQMP BDÏMVMBOBDPMVOBAFMJOIB1ÏOPNFBEBA1 /PUB0OPNFEFVNBDÏMVMBQPEFTFSVTBEPFNFYQSFTTÜFTFFNDPNBOEPTQBSBJEFOUJGJDBSPDPOUFÞEPEB DÏMVMBDPSSFTQPOEFOUF RVFSOPVUSBTDÏMVMBTEBGPMIBEFDÈMDVMP RVFSOBZona Algébrica RVFSOBZona Gráfica /BTDÏMVMBTEBGPMIBEFDÈMDVMPQPEFNPTJOTFSJSOÍPTØOÞNFSPT NBTUBNCÏNRVBMRVFSPCKFDUPNBUFNÈUJDP TVQPSUBEPQFMP(FP(FCSB 1PSQSFEFGJOJÎÍP PTPCKFDUPTEBGPMIBEFDÈMDVMPTÍPDMBTTJGJDBEPTDPNPPCKFDUPTBVYJMJBSFTOBZona Algébrica 1PEFNPTFYJCJSPVFTDPOEFSPTPCKFDUPTBVYJMJBSFTNBSDBOEPPVEFTNBSDBOEPObjectos AuxiliaresOPNFOVExibir

'FSSBNFOUBTEFDPOTUSVÎÍP 1POUPT

1POUFJSP

$POTUSVJS

3FDUBT

$JSDVOGFSÐODJB

1PMÓHPOP

$ØOJDBT

.FEJS

%FTDSFWF

5SBOTGPSNBÎÜFT

"TQFDUPT

10/5&*304

1POUFJSP 1BSBTFMFDDJPOBSVNPCKFDUPDMJDBNPTTPCSFFMFDPNPSBUP BQØTUFSTFMFDDJPOBEPBGFSSBNFOUB

Mover

3PEBSFNUPSOPEFVNQPOUP 4FMFDDJPOFPQSJNFJSPPQPOUPDPSSFTQPOEFOUFBPDFOUSPEBSPUBÎÍP%FQPJT QPEFNSPEBSTFPCKFDUPTMJWSFT FNUPSOPEFTTFDFOUSP BSSBTUBOEPPTDPNPSBUP


429

PARTE

Ferramentas TIC

5

(SBWBSQBSBBGPMIBEFDÈMDVMP &TUBGFSSBNFOUBQFSNJUFNPWFSVNPCKFDUPFHSBWBSVNBTFRVÐODJBEPTTFVTWBMPSFTOBFolha de Cálculo &TUBGFSSBNFOUBGVODJPOBQBSBOÞNFSPT QPOUPTFWFDUPSFT 10/504

/PWPQPOUP $MJRVFOBZona GráficaQBSBDSJBSVNOPWPQPOUP $MJDBOEPOVNTFHNFOUP SFDUB QPMÓHPOP DØOJDB HSÈGJDPEFGVOÎÍPPVDVSWB QPEFDSJBSVNQPOUPOFTTF PCKFDUP

1POUPNÏEJPPVDFOUSP "PDMJDBSFNEPJTQPOUPTPVOVNTFHNFOUP PCUÏNTFPSFTQFDUJWPQPOUPNÏEJP5BNCÏNTFQPEFDMJDBS OVNBDJSDVOGFSÐODJBQBSBPCUFSPSFTQFDUJWPDFOUSP

*OUFSTFDUBSEVBTMJOIBT 0TQPOUPTEFJOUFSTFDÎÍPEFEVBTMJOIBTQPEFNTFSDSJBEPTEFEVBTNBOFJSBT t 4FMFDDJPOBSEVBTMJOIBT todos os pontos de intersecçãoTÍPDSJBEPT TFQPTTÓWFM t $MJDBSEJSFDUBNFOUFTPCSFVNBJOUFSTFDÎÍPEFEVBTMJOIBT apenas um ponto de intersecçãoÏDSJBEP 3&$5"4

3FDUBEFGJOJEBQPSEPJTQPOUPT

4FHNFOUPEFGJOJEPQPSEPJTQPOUPT 4FMFDDJPOFEPJTQPOUPTQBSBDSJBSPSFTQFDUJWPTFHNFOUPEFSFDUB0DPNQSJNFOUPEPTFHNFOUPBQBSFDFOB Zona Algébrica

4FHNFOUPEBEPTVNQPOUPFPDPNQSJNFOUP $MJRVFOPQPOUPRVFÏVNEPTFYUSFNPTEPTFHNFOUPFFTQFDJGJRVFPDPNQSJNFOUPEFTFKBEPOPDBNQPEF UFYUPEBKBOFMBEFEJÈMPHPRVFBQBSFDF

4FNJSFDUBEFGJOJEBQPSEPJTQPOUPT 4FMFDDJPOFQSJNFJSPPQPOUPRVFDPSSFTQPOEFËPSJHFNEBTFNJSFDUBFEFQPJTTPCSFVNPVUSPQPOUPEB TFNJSFDUBQBSBDSJBSPSFTQFDUJWPMVHBSHFPNÏUSJDP"FRVBÎÍPEBSFDUBTFSÈNPTUSBEBOBZona Algébrica

7FDUPSEFGJOJEPQPSEPJTQPOUPT 4FMFDDJPOFPQPOUPEFPSJHFNFEFQPJTPQPOUPRVFGJDBOBPVUSBFYUSFNJEBEFEPWFDUPS

430


PARTE

5 Ferramentas TIC

7FDUPSBQMJDBEPOVNQPOUP 4FMFDDJPOFQSJNFJSPPQPOUPFEFQPJTPWFDUPSDPSSFTQPOEFOUFËPQFSBÎÍPRVFQSFUFOEFSFBMJ[BS $0/4536*3

3FDUBQFSQFOEJDVMBS 4FMFDDJPOBOEPVNBSFDUBFVNQPOUP QFSNJUFDSJBSBSFDUB QBTTBOEPQPSFTTFQPOUPQFSQFOEJDVMBSNFOUF ËEBEBSFDUB

3FDUBQBSBMFMB 4FMFDDJPOBOEPVNBSFDUBFVNQPOUP DPOTUSØJVNBSFDUBRVFQBTTBQFMPQPOUPFÏQBSBMFMBËSFDUB TFMFDDJPOBEB

.FEJBUSJ[ $MJRVFOVNTFHNFOUPPVFNEPJTQPOUPTQBSBDPOTUSVJSBSFTQFDUJWBNFEJBUSJ[

3FDUBQPMBSPVEJBNFUSBM &TUBGFSSBNFOUBDSJBBSFDUBQPMBSPVBSFDUBEJBNFUSBMEFVNBDØOJDB t DSJBBQPMBSTFMFDDJPOBOEPVNQPOUPFVNBDØOJDB t DSJBBEJBNFUSBMTFMFDDJPOBOEPVNBSFDUB PVVNWFDUPS FVNBDØOJDB

5BOHFOUFT "TUBOHFOUFTBVNBDØOJDBQPEFNTFSQSPEV[JEBTEFEVBTNBOFJSBT t 4FMFDDJPOBOEPVNQPOUPFVNBDØOJDBQSPEV[UPEBTBTUBOHFOUFTBFTTBDØOJDBRVFQBTTBNQFMPQPOUP TFMFDDJPOBEP t 4FMFDDJPOBOEPVNBSFDUBFVNBDØOJDBQSPEV[UPEBTBTUBOHFOUFTËDØOJDBRVFTÍPQBSBMFMBTËSFDUB TFMFDDJPOBEB

3FDUBEFSFHSFTTÍP 1FSNJUFDSJBSBSFDUBEFSFHSFTTÍPEFVNDPOKVOUPEFQPOUPTVTBOEPEVBTNBOFJSBTEJGFSFOUFT t $SJFVNRectângulo de SelecçãoRVFDPOUFOIBUPEPTPTQPOUPTEPDPOKVOUP t 4FMFDDJPOFVNBlista de pontosQBSBDSJBSBSFDUBEFSFHSFTTÍPDPSSFTQPOEFOUF

Locus 4FMFDDJPOFVNQPOUP EJHBNPTB RVFEFQFOEBEFVNPVUSPQPOUP EJHBNPTA FDVKPlocusTFQSFUFOEFWFS EFTFOIBEP&OUÍP DMJRVFOPQPOUPAQBSBDSJBSPlocus PVMVHBSHFPNÏUSJDP EPQPOUPB


431

PARTE

Ferramentas TIC

5

10-¶(0/04

1PMÓHPOP 4FMFDDJPOFTVDFTTJWBNFOUFQFMPNFOPTUSÐTQPOUPT PTRVBJTTFSÍPPTWÏSUJDFTEPQPMÓHPOP%FQPJT DMJRVF PVUSBWF[OPQSJNFJSPQPOUPQBSBGFDIBSPQPMÓHPOP"ÈSFBEPQPMÓHPOPÏNPTUSBEBOBZona Algébrica

1PMÓHPOPSFHVMBS 4FMFDDJPOFEPJTQPOUPTFFTQFDJGJRVFPOÞNFSPnEFWÏSUJDFTOPDBNQPEFUFYUPEBKBOFMBEFEJÈMPHPRVF BQBSFDF"TTJNDPOTUSVJSÈVNQPMÓHPOPSFHVMBSDPNnWÏSUJDFT JODMVJOEPPTEPJTQPOUPTJOJDJBJT $*3$6/'&3³/$*"4

$JSDVOGFSÐODJBEBEPTPDFOUSPFPSBJP 4FMFDDJPOFPDFOUSPFJOTJSBBNFEJEBEPSBJPOPDBNQPEFUFYUPEBKBOFMBRVFBQBSFDF

$JSDVOGFSÐODJBEBEPTPDFOUSPFVNQPOUP 4FMFDDJPOFVNQPOUP DPSSFTQPOEFOUFBPDFOUSPEBDJSDVOGFSÐODJB FVNQPOUPEBDJSDVOGFSÐODJB FEFGJOB BSFTQFDUJWBDJSDVOGFSÐODJB

$JSDVOGFSÐODJBEFGJOJEBQPSUSÐTQPOUPT 4FMFDDJPOBOEPUSÐTQPOUPT EFGJOFTFBDJSDVOGFSÐODJBRVFQBTTBOFTUFTUSÐTQPOUPT

$PNQBTTP 4FMFDDJPOFVNTFHNFOUPPVEPJTQPOUPTQBSBFTQFDJGJDBSPSBJP%FQPJT DMJRVFOVNQPOUPRVFTFSÈPDFOUSP EBDJSDVOGFSÐODJB

"SDPDJSDVMBSEBEPTPDFOUSPFEPJTQPOUPT 1SJNFJSP TFMFDDJPOFPDFOUSPEPBSDPDJSDVMBS%FQPJT TFMFDDJPOFPQPOUPJOJDJBMEPBSDPF GJOBMNFOUF TFMFDDJPOFVNQPOUPRVFFTQFDJGJRVFPDPNQSJNFOUPEPBSDP

4FDUPSDJSDVMBSEBEPTPDFOUSPFEPJTQPOUPT 1SJNFJSP TFMFDDJPOFPDFOUSPEPTFDUPSDJSDVMBS%FQPJT TFMFDDJPOFPQPOUPJOJDJBMEPTFDUPSF GJOBMNFOUF TFMFDDJPOFVNQPOUPRVFFTQFDJGJRVFPDPNQSJNFOUPEPBSDPEPTFDUPS

"SDPDJSDVODJSDVMBSEBEPTUSÐTQPOUPT 4FMFDDJPOBOEPUSÐTQPOUPT DSJBTFVNBSDPQBTTBOEPQPSFTTFTQPOUPT0QSJNFJSPQPOUPTFMFDDJPOBEPÏP QPOUPJOJDJBMEPBSDP PTFHVOEPÏVNQPOUPQFSUFODFOUFBPBSDPFPÞMUJNPÏPQPOUPGJOBMEPBSDP

432


PARTE

5 Ferramentas TIC

4FDUPSDJSDVODJSDVMBSEBEPTUSÐTQPOUPT 4FMFDDJPOBOEPUSÐTQPOUPT DSJBVNTFDUPSDJSDVMBSQBTTBOEPQPSFTTFTQPOUPT0QSJNFJSPQPOUPTFMFDDJPOBEP ÏPQPOUPJOJDJBMEPBSDP PTFHVOEPÏVNQPOUPQFSUFODFOUFBPBSDPFPÞMUJNPÏPQPOUPGJOBMEPBSDP

4FNJDJSDVOGFSÐODJBEBEPTEPJTQPOUPT 4FMFDDJPOFEPJTQPOUPTQBSBDSJBSVNBTFNJDJSDVOGFSÐODJBEFFYUSFNPTAFB $»/*$"4

&MJQTF 4FMFDDJPOFEPJTQPOUPTRVFTFSÍPPTGPDPTEBFMJQTF%FQPJT FTQFDJGJRVFVNUFSDFJSPQPOUPRVFQFSUFOÎBËFMJQTF

)JQÏSCPMF 4FMFDDJPOFEPJTQPOUPTRVFTFSÍPPTGPDPTEBIJQÏSCPMF%FQPJT FTQFDJGJRVFVNUFSDFJSPQPOUPRVFQFSUFOÎB ËIJQÏSCPMF

1BSÈCPMB 4FMFDDJPOFVNQPOUPFVNBSFDUB BRVBMTFSÈBEJSFDUSJ[EBQBSÈCPMB

$ØOJDBQBTTBOEPQPSDJODPQPOUPT 4FMFDDJPOBOEPDJODPQPOUPT QSPEV[BTFDÎÍPDØOJDBRVFQBTTBQPSFTTFTQPOUPT /PUB4FRVBUSPEFTTFTQPOUPTFTUJWFSFNOVNBSFDUB BDØOJDBOÍPÏEFGJOJEB .&%*3

¬OHVMP &TUBGFSSBNFOUBDSJB t VNÉOHVMPFOUSFUSÐTQPOUPTDVKPWÏSUJDFÏPTFHVOEPQPOUPTFMFDDJPOBEP t VNÉOHVMPFOUSFEPJTTFHNFOUPT t VNÉOHVMPFOUSFEVBTSFDUBT t VNÉOHVMPFOUSFEPJTWFDUPSFT 5PEPTPTÉOHVMPTEFVNQPMÓHPOP /PUB4FPQPMÓHPOPGPSDSJBEPTFMFDDJPOBOEPPTTFVTWÏSUJDFTDPNPSJFOUBÎÍPBOUJIPSÈSJB BGFSSBNFOUB ÂnguloQSPEV[PTÉOHVMPTJOUFSOPTEPQPMÓHPOP DBTPDPOUSÈSJP QSPEV[PTDPSSFTQPOEFOUFTDPNQMFNFOUPT QBSBHSBVT

¬OHVMPDPNBNQMJUVEFGJYB 4FMFDDJPOFEPJTQPOUPTFFTQFDJGJRVFBNFEJEBEBBNQMJUVEFEPÉOHVMPOPDBNQPEFUFYUPEBKBOFMBRVF BQBSFDF&TUBGFSSBNFOUBDSJBVNOPWPQPOUPFVNÉOHVMPDPNBBNQMJUVEFJOTFSJEB


433

PARTE

Ferramentas TIC

5

«SFB &TUBGFSSBNFOUBGPSOFDFPWBMPSOVNÏSJDPEBÈSFBEFVNQPMÓHPOP EFVNDÓSDVMPPVEFVNBFMJQTFFNPTUSBP VNUFYUPEJOÉNJDPOBZona Gráfica

%JTUÉODJB DPNQSJNFOUPPVQFSÓNFUSP &TUBGFSSBNFOUBGPSOFDFBEJTUÉODJBFOUSFEPJTQPOUPT EVBTSFDUBTPVFOUSFVNQPOUPFVNBSFDUBFNPTUSBVN UFYUPEJOÉNJDPOBZona Gráfica5BNCÏNGPSOFDFPDPNQSJNFOUPEFVNTFHNFOUP PQFSÓNFUSPEFVN QPMÓHPOPFPQFSÓNFUSPEFVNBDJSDVOGFSÐODJBPVEFVNBFMJQTF

%FDMJWF &TUBGFSSBNFOUBEÈMIFPEFDMJWFEFVNBSFDUBFNPTUSBOBZona GráficaVNUSJÉOHVMPSFDUÉOHVMPFNRVF BSB[ÍPFOUSFBNFEJEBEPDBUFUPWFSUJDBMFBNFEJEBEPDBUFUPIPSJ[POUBMÏPWBMPSBCTPMVUPEPEFDMJWF 53"/4'03."±¿&4 "TTFHVJOUFTUSBOTGPSNBÎÜFTHFPNÏUSJDBTGVODJPOBNQBSBQPOUPT MJOIBTSFDUBT DØOJDBT QPMÓHPOPTFJNBHFOT

3FGMFYÍPOVNBSFDUB 4FMFDDJPOFPPCKFDUPRVFQSFUFOEFSFGMFDUJS%FQPJT DMJRVFOVNBSFDUB TFNJSFDUBPVTFHNFOUPEFSFDUB QBSB FTQFDJGJDBSPespelho/recta de reflexão

3FGMFYÍPOVNQPOUP 4FMFDDJPOFPPCKFDUPRVFQSFUFOEFSFGMFDUJS%FQPJT DMJRVFOVNQPOUPQBSBFTQFDJGJDBSPFTQFMIPQPOUPEF SFGMFYÍP

*OWFSTÍPOVNBDJSDVOGFSÐODJB &TUBGFSSBNFOUBQFSNJUFMIFJOWFSUFSVNQPOUPOVNBDJSDVOGFSÐODJB4FMFDDJPOFPQPOUPRVFQSFUFOEF JOWFSUFS%FQPJT DMJRVFOVNBDJSDVOGFSÐODJBQBSBFTQFDJGJDBSBDJSDVOGFSÐODJBEFJOWFSTÍP

3PEBSFNUPSOPEFVNQPOUPDPNVNBBNQMJUVEF 4FMFDDJPOFPPCKFDUPRVFQSFUFOEFSPEBS%FQPJT DMJRVFOVNQPOUPQBSBFTQFDJGJDBSPDFOUSPEBSPUBÎÍPF GJOBMNFOUF JOTJSBBBNQMJUVEFEPÉOHVMPEBSPUBÎÍPOBKBOFMBEFEJÈMPHPRVFBQBSFDF

5SBOTMBÎÍPQPSVNWFDUPS 4FMFDDJPOFPPCKFDUPRVFQSFUFOEFUSBOTMBEBS%FQPJT DMJRVFOPWFDUPSRVFEFGJOFBUSBOTMBÎÍP

)PNPUFUJBEFDFOUSPOVNQPOUPQPSVNGBDUPS 4FMFDDJPOFPPCKFDUPEBIPNPUFUJB%FQPJT DMJRVFOVNQPOUPQBSBFTQFDJGJDBSPDFOUSPEBIPNPUFUJBF GJOBMNFOUF JOTJSBBSB[ÍPEBIPNPUFUJBOBKBOFMBEFEJÈMPHPRVFBQBSFDF

434


PARTE

%&4$3&7&3

5 Ferramentas TIC

4FMFDUPS /PUB/P(FP(FCSB VNTFMFDUPSÏBSFQSFTFOUBÎÍPHSÈGJDBEFVNOÞNFSPMJWSFPVEFVNÉOHVMPMJWSF1PEF DSJBSTFVNTFMFDUPSQBSBRVBMRVFSOÞNFSPMJWSFPVÉOHVMPMJWSFDSJBEPTBOUFSJPSNFOUF FYJCJOEPFTTFPCKFDUP

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435

PARTE

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436


PARTE

5 Ferramentas TIC

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437

PARTE

Ferramentas TIC

5

Conceitos de Internet 1 O que é a Internet? "*OUFSOFUÏVNDPOKVOUPEFNJMIBSFTEFSFEFTEFUPEP PNVOEPRVFFTUÍPMJHBEBTFOUSFTJ0OPNF*OUFSOFU EFSJWBEBFYQSFTTÍPJOHMFTBInterconnected Networks JOUFSDPOFYÍPEFSFEFT "JOGPSNBÎÍPWJBKBQFMBSFEFBHSBOEFWFMPDJEBEF &NBMHVOTTFHVOEPTQPEFNPTWFSDFOUFOBTEFEPDV NFOUPT JNBHFOT F TPOT SFDPMIJEPT FN QÈHJOBT EB *OUFSOFU RVF TF FODPOUSBN B NVJUB EJTUÉODJB "HSBOEFSBQJEF[DPNRVFTFUSPDBNPTEBEPTOB *OUFSOFUGF[DPNRVFMIFGPTTFBUSJCVÓEBBEFTJHOBÎÍP EFjBVUPFTUSBEBEBJOGPSNBÎÍPx

2 Como ligar-se à Internet? 1BSBQPEFSNPTBDFEFSË*OUFSOFU OFDFTTJUBNPTEF EJTQPS EF VNB MJHBÎÍP B VN QSPWFEPS EF TFSWJÎPT EF*OUFSOFU *41 Internet Service Provider /POPTTPQBÓT FYJTUFNWÈSJBTFNQSFTBTRVFOPTQPEFNGPSOFDFSFTUF TFSWJÎP DPNP QPSFYFNQMP B4BQP B/FUDBCP B0QUJ NVT B5./ B7PEBGPOF FUD"DUVBMNFOUFFYJTUFVNB HSBOEFDPNQFUJÎÍPEFNFSDBEPFOUSFFNQSFTBTRVF PGFSFDFN FNDPOKVOUP MJHBÎÍPË*OUFSOFU UFMFGPOF FUFMFWJTÍPEJHJUBM

438


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PARTE

5 Ferramentas TIC

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3 Termos básicos da Internet "MHVOTUFSNPTCÈTJDPTBPTRVBJTOPTEFWFNPTIBCJUVBS BPOBWFHBSOB*OUFSOFUTÍPPTTFHVJOUFT t T CP/IP.²VNQSPUPDPMPEFDPNVOJDBÎÜFT PVTFKB ÏPJEJPNBRVFVUJMJ[BNUPEBTBTSFEFTMJHBEBTË*OUFS OFUQBSBDPNVOJDBSFN5$1*1 Transmission Control Protocol Over Internet Protocol ÏUFDOJDBNFOUFP1SP UPDPMPEF$POUSPMPEBT5SBOTNJTTÜFTTPCSFP1SPUPDPMP *OUFSOFU t Endereço de IP. ²BJEFOUJGJDBÎÍPRVFUFNDBEBVN EPTDPNQVUBEPSFTRVFTFMJHBË*OUFSOFU JODMVJOEP POPTTP&TUFFOEFSFÎPEF*1EFWFTFSGPSOFDJEPQFMP QSPWFEPSEFTFSWJÎPTBPRVBMDPOUSBUÈNPTBOPTTB MJHBÎÍP&TTF*1ÏPRVFJEFOUJGJDBPOPTTPDPNQVUBEPS RVBOEPBDFEFNPTBVNBQÈHJOBXFCPVRVBOEP SFBMJ[BNPTPVUSBTUBSFGBTOBSFEF 0TFOEFSFÎPTEF*1BDUVBJTCBTFJBNTFOPQBESÍP *17 DPNQPTUPQPSRVBUSPOÞNFSPTTFQBSBEPTFOUSF TJQPSQPOUPT$BEBVNEPTOÞNFSPTRVFPDPNQÜFN EFWFFTUBSDPNQSFFOEJEPFOUSFF &TUFQBESÍPPGFSFDFRVBUSPNJMNJMIÜFTEFFOEFSFÎPT EPTRVBJTTFFTUJNBRVFDFSDBEFEPJTUFSÎPTKÈFTUF KBNBUSJCVÓEPT1BSBTPMVDJPOBSFTUFQSPCMFNBOP GVUVSP FODPOUSBTFFNQSFQBSBÎÍPVNOPWPUJQPEF EJSFDDJPOBNFOUP P*17 RVFTFSÈGPSNBEPQPSPJUP HSVQPT DBEBVNEFMFTDPNRVBUSPOÞNFSPTFN DØEJHPIFYBEFDJNBM t D omínios.4ÍPVNTJTUFNBEFJEFOUJGJDBÎÍPEFDPN QVUBEPSFTOB*OUFSOFU RVFBDUVBEFGPSNBQBSBMFMB BPTFOEFSFÎPT*1"DBEBTFSWJEPSBUSJCVJTFVNOPNF EFEPNÓOJPRVFDPSSFTQPOEFBVNFOEFSFÎPEF*1 0NPUJWPQFMPRVBMTFVUJMJ[BNEPNÓOJPTFNWF[EF FOEFSFÎPTEF*1ÏBDPNPEJEBEFOPRVFEJ[SFTQFJUP BSFDPSEBSFJOUSPEV[JSOPNFTFNDPNQBSBÎÍPDPN WBMPSFTOVNÏSJDPT 0T EPNÓOJPT UÐN FTUBCFMFDJEPT EPJT DPOWÏOJPT EFUFSNJOBÎÍP VNQBSBPT&TUBEPT6OJEPT POEF TFJOEJDBPUJQPEFPSHBOJ[BÎÍP FPVUSPQBSBPSFTUP EPNVOEP OPRVBMTFBTTJOBMBPQBÓTBRVFQFSUFODF PEJUPEPNÓOJP/BTFHVJOUFUBCFMBBQSFTFOUBNTF BMHVNBTEBTUFSNJOBÎÜFTEFEPNÓOJPTNBJTVUJMJ[B EBT t URL.²PFOEFSFÎPEFDBEBVNEPTSFDVSTPTRVF QPEFNPT FODPOUSBS OB *OUFSOFU QPS FYFNQMP PFOEFSFÎPEFVNBQÈHJOBEB*OUFSOFU


439

PARTE

Ferramentas TIC

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int JOTUJUVJÎÜFTJOUFSOBDJPOBJT

edu JOTUJUVJÎÜFTFEVDBUJWBT

net EFTFOWPMWJNFOUPFSFDVSTPTEB*OUFSOFU

gov PSHBOJTNPTHPWFSOBNFOUBJT

org PSHBOJ[BÎÜFTEJWFSTBT

mil PSHBOJTNPTNJMJUBSFT /PSFTUPEPNVOEP es &TQBOIB

be #ÏMHJDB

fr 'SBOÎB

jp +BQÍP

it *UÈMJB

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de "MFNBOIB

li ¶OEJB

gr (SÏDJB

dk %JOBNBSDB

bo #PMÓWJB

mx .ÏYJDP

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1 Como pesquisar informação

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5 $MJRVFOBMJHBÎÍPJNBHFOT

2 Pesquisa de imagens

com o Google 0(PPHMFUBNCÏNOPTQFSNJUFQFTRVJTBSJNBHFOT EFGPSNBTJNQMFT

"OPWBQBMBWSBBQBSFDFOPDSJUÏSJPEFQFTRVJTB

/VNFSBÎÍPEBTJNBHFOTRVFTFFTUÍPBNPTUSBS FPOÞNFSPBQSPYJNBEPEFSFTVMUBEPTFODPOUSBEPT

4VQPOIBNPTRVFWBNPTDPNQSBSVNDPNQVUBEPSQPS UÈUJMFRVFRVFSFNPTTBCFSDPNPÏ QFMPRVFQSPDVSBNPT VNBGPUPHSBGJBEPNPEFMPRVFWBNPTBERVJSJS

A. Pesquisa simples 4F OFTUF FDSÍ JOJDJBM EP NPUPS EF CVTDB DMJDBSNPT OBMJHBÎÍPImagens BQBSFDFSÈBQÈHJOBEFQFTRVJTB EFJNBHFOTEP(PPHMF 4Ø UFSFNPT EF JOUSPEV[JS OB NPMEVSB EF QFTRVJTB POPNFEBJNBHFNRVFQSPDVSBNPTDPNP QPSFYFN QMP portátil Toshiba SatelliteFDMJDBSOPCPUÍPPesquisa de imagens /VNNPNFOUP BQBSFDFSÈPQSJNFJSPFDSÍEFJNBHFOT FODPOUSBEBTQFMPNPUPSEFCVTDB"TJNBHFOT UBMDPNP OPDBTPEBTQÈHJOBTEB*OUFSOFU TÍPBQSFTFOUBEBTQPS QÈHJOBTEFSFTVMUBEPT DPNWJOUFJNBHFOTFNDBEB QÈHJOB /PDBOUPTVQFSJPSEJSFJUPEPSFTVMUBEPBQBSFDFBOVNF SBÎÍPEBTJNBHFOTRVFTFFTUÍPBNPTUSBSOFTUFNPNFOUP FPOÞNFSPBQSPYJNBEPEFJNBHFOTFODPOUSBEBTRVF DVNQSFNPDSJUÏSJPEFQFTRVJTBRVFJOUSPEV[JNPT.VEB NPTEFQÈHJOBVUJMJ[BOEPBTTFUBTOBQBSUFJOGFSJPS 456


PARTE

5 Ferramentas TIC

4FMFDDJPOBNPTPUBNBOIPEBJNBHFNRVFQFTRVJTBNPT

"HPSBEFWFNPTJSFYBNJOBOEPBTJNBHFOTEPSFTVMUBEP 2VBOEPWFSNPTVNBRVFOPTQPTTBTFSWJS DMJDBNPT OFMB*NFEJBUBNFOUF POBWFHBEPSUFOUBSÈBDFEFSË QÈHJOBRVFDPOUÏNFTTBJNBHFNFNPTUSÈMBOPFDSÍ /B QBSUF TVQFSJPS EB ÈSFB EF WJTVBMJ[BÎÍP BQBSFDF BSFGFSÐODJBEPNPUPSEFCVTDB(PPHMF4FDMJDBSNPT OBMJHBÎÍPVer imagem em tamanho real NPTUSBSTFÈ BJNBHFNOPTFVUBNBOIPPSJHJOBM "MÏNEJTTP QPEFNPTTFMFDDJPOBSPUBNBOIPEBTJNB HFOTRVFEFTFKBNPTWJTVBMJ[BSOBQÈHJOBEFSFTVMUBEPT 1BSBJTTP OBQBSUFTVQFSJPSUFNPTVNBMJTUBEFTEPCSÈ WFMOBRVBMQPEFNPTFTDPMIFSRVFTFNPTUSFNQualquer tamanho PQÎÍPQSFEFGJOJEB

Imagens grandes Médias PVPequenas

B. Pesquisa avançada de imagens 0(PPHMFUBNCÏNOPTQFSNJUFFGFDUVBSVNBQFTRVJTB BWBOÎBEBEFJNBHFOT1BSBJTTP OBQÈHJOBEPNPUPS EFCVTDBDMJDBNPT FNQSJNFJSPMVHBS OBMJHBÎÍPImagensF FNTFHVJEB OPUFYUPPesquisa avançadaRVF BQBSFDFËEJSFJUBEPCPUÍPPesquisa de imagens $MJRVFQBSBBDFEFSËQFTRVJTB

/BQÈHJOBEFQFTRVJTBBWBOÎBEBUFSFNPTBPQÎÍP EF QFTRVJTBS JNBHFOT DPN DSJUÏSJPT EF QFTRVJTB TFNFMIBOUFTBPTVUJMJ[BEPTOBQFTRVJTBBWBOÎBEBEBT QÈHJOBTEB*OUFSOFU 5FYUPFUJQPEFJNBHFN TFMFDDJPOBEP

"MÏNEJTTP QPEFNPTTFMFDDJPOBSPUBNBOIPEBTJNB HFOTRVFQSPDVSBNPT 5BNCÏNQPEFNPTTFMFDDJPOBSPUJQPEFGJDIFJSPRVF EFTFKBNPTQFTRVJTBS1PEFNPTFTDPMIFSFOUSFRVBMRVFS UJQPEFGJDIFJSPKQH HJGFQOH 0VUSBEBTPQÎÜFTRVFQPEFNPTTFMFDDJPOBSÏBDPSEBT JNBHFOT RVF QSPDVSBNPT B DPS B QSFUP F CSBODP FNFTDBMBEFDJO[FOUPT FUD 6NBWF[FTUBCFMFDJEPTPTDSJUÏSJPTEFQFTRVJTB DMJDBNPT OPCPUÍPPesquisa do Google %FOUSPEFBMHVOTJOTUBOUFTPTSFTVMUBEPTBQBSFDFSÍP OPFDSÍFOBQBSUFTVQFSJPSEBQÈHJOBQPEFNPTWFS PTDSJUÏSJPTEBDPOTVMUB


457

PARTE

Ferramentas TIC

5 (SVQPT

3 Pesquisa em grupos 0(PPHMFPGFSFDFBQPTTJCJMJEBEFBPVUJMJ[BEPSRVF BTTJNPQSFUFOEBEFDSJBSVNPVWÈSJPTHSVQPTQBSB EJTDVUJSUFNBTRVFBDIFJOUFSFTTBOUFT"MÏNEJTTP PVUJMJ[BEPSQPEFDPOWJEBSPVUSPTVUJMJ[BEPSFTQBSB RVFGBÎBNQBSUFEPTFVHSVQPFQBSUJDJQFNOFMF 0PCKFDUJWPEFTUFTHSVQPTÏFYQPSPQJOJÜFT EFCBUFS BMHVOTUFNBT QÙSBOÞODJPT BQSFTFOUBSFSFTPMWFS EÞWJEBT FUD 0(PPHMFUBNCÏNOPTQFSNJUFQSPDVSBSJOGPSNBÎÜFT OFTUFTHSVQPT1BSBJTTP GB[FNPTDMJRVF DPNPCPUÍP EPMBEPFTRVFSEPEPSBUP TPCSFBMJHBÎÍPGrupos EBQÈHJOBJOJDJBMEPNPUPSEFCVTDB /BOPWBQÈHJOBTPNPTJOGPSNBEPTTPCSFPRVFTÍP PTHSVQPT ÏOPTBQSFTFOUBEBBDMBTTJGJDBÎÍPEPTHSVQPT FYJTUFOUFTFNQPSUVHVÐTFÏOPTPGFSFDJEBBPQÎÍP EFDSJBSNPTPOPTTPQSØQSJPHSVQPDPNPCPUÍPCriar um grupo 1BSBQSPDVSBSJOGPSNBÎÜFTOPTHSVQPTCBTUBSÈFTDSFWFS PRVFEFTFKBNPTMPDBMJ[BSFGB[FSDMJRVFOPCPUÍPPesquisar grupos &N CSFWFT JOTUBOUFT P NPUPS EF CVTDB NPTUSBSÈ OBKBOFMBEPOBWFHBEPSPTSFTVMUBEPTPCUJEPT1BSB WJTVBMJ[BSRVBMRVFSVNEFMFT CBTUBSÈDMJDBSOBRVFMFRVF QSFUFOEFNPTWFS 5BNCÏNUFNPTEJTQPOÓWFMBQFTRVJTBBWBOÎBEBOPT HSVQPT1BSBVUJMJ[BSFTUBPQÎÍP DMJDBNPTDPNPCPUÍP EPMBEPFTRVFSEPEPSBUPOBMJHBÎÍPPesquisa avançada de grupos,RVFFTUÈTJUVBEBËEJSFJUBEPCPUÍPPesquisar grupos

/BKBOFMBEPOBWFHBEPSBQBSFDFSÈBQFTRVJTBBWBOÎBEB EFHSVQPT OBRVBMQPEFSFNPTQFTRVJTBSBTNFOTBHFOT DPNDSJUÏSJPTTFNFMIBOUFTBPTRVFTFVUJMJ[BNQBSB BTQÈHJOBTEB*OUFSOFU

458


PARTE

5 Ferramentas TIC

"MÏNEJTTP QPEFNPTJOEJDBSPHSVQPBRVFEFWFN QFSUFODFSBTNFOTBHFOTRVFOPBTTVOUPEBNFOTBHFN DPOUFOIBNUFYUP RVFTFKBNEFVNBVUPSFTQFDÓGJDP FUD 1PSÞMUJNP QPEFNPTBTTJOBMBSRVFNFOTBHFOTSFTVMUBOUFT GPSBNFOWJBEBTOVNEFUFSNJOBEPJOUFSWBMPEFEBUBT 1BSBFYFDVUBSBQFTRVJTB DMJDBNPTOPCPUÍPPesquisa do GoogleFFNCSFWFTNPNFOUPTPCUFSFNPTPSFTVM UBEPEBNFTNB

4 Pesquisa através do directório

do Google 0TUÏDOJDPTEP(PPHMFFTUÍPDPOUJOVBNFOUFBEFTFO WPMWFSFMFNFOUPTEFQFTRVJTBRVFGBDJMJUFNBMPDBMJ[B ÎÍPEFJOGPSNBÎÍPBPTVUJMJ[BEPSFTEB*OUFSOFU1BSB WFSNPT BT OPWJEBEFT RVF PGFSFDFN BDUVBMNFOUF FBMHVNBTEBTBQMJDBÎÜFTRVFKÈTFFODPOUSBNFN GVODJPOBNFOUP EFWFNPTVUJMJ[BSBMJHBÎÍP Mais >> RVFBQBSFDFOBQÈHJOBQSJODJQBMEPNPUPSEFCVTDB "CSJSTFÈVNBOPWBQÈHJOBOBRVBMÏBQSFTFOUBEBVNB SFMBÎÍPEPTTFSWJÎPTRVFPGFSFDFP(PPHMF&OUSFFMFT DBCFEFTUBDBSBQFTRVJTBEFEPDVNFOUPTBDBEÏNJDPT RVFOFTUFNPNFOUPTFFODPOUSBFNGBTFEFUFTUFT BT QFTRVJTBTFNCMPHVFT BQFTRVJTBEFMJWSPTRVFDPOUF OIBNBJOGPSNBÎÍPRVFTPMJDJUFNPT PEJSFDUØSJPEP NPUPSEFCVTDB FUD 0EJSFDUØSJPDPOTJTUFOVNBDMBTTJGJDBÎÍPEBTQÈHJOBTEB *OUFSOFUBUSBWÏTEFVNDPOKVOUPEFMJHBÎÜFTFNGPSNB EFNFOVT1BSBBDFEFSNPTBPEJSFDUØSJPQPEFNPT DMJDBSOBMJHBÎÍPRVFBQBSFDFDPNVNÓDPOFEFVNMJWSP TPCPUÓUVMPPesquisar PVOBMJHBÎÍPDirectórioRVF BQBSFDFOBQBSUFTVQFSJPSTPCSFPRVBESPPOEFJOUSP EV[JNPTBJOGPSNBÎÍPBQFTRVJTBS /PEJSFDUØSJPQPEFNPT QPSFYFNQMP DMJDBSOBMJHBÎÍP Educação"QBSFDFSÈVNBOPWBKBOFMBDPNBTFOUSBEBT FYJTUFOUFTFNFEVDBÎÍP&TUBTQPEFNTFSEFEJGFSFOUFT UJQPT JOGBOUJM ËEJTUÉODJBy

FEVDBÎÍPDMBTTJGJDBEBQPS QBÓTFT FUD 1PEFNPTBHPSBTFMFDDJPOBSBMJHBÎÍPPortugal EFOUSP EFMBTVSHJSÍPOPWBTFOUSBEBT FBTTJNTVDFTTJWBNFOUF BUÏDIFHBSNPTBPOPTTPPCKFDUJWP


459

PARTE

Google Earth

Ferramentas TIC

5

1 O que é o Google Earth? ²VNTJTUFNBEFJOGPSNBÎÍPHFPHSÈGJDBEBFNQSFTB (PPHMFRVFOPTQFSNJUFMPDBMJ[BSMVHBSFTFNRVBMRVFS QBSUFEPNVOEP&TUFTJTUFNBDPNCJOBGPUPHSBGJBTEF TBUÏMJUFTFTJTUFNBTEFNBQBTQBSBMPDBMJ[BSFNPTUSBS PBTQFDUPEFRVBMRVFSMVHBSEPQMBOFUB 0(PPHMF&BSUIOÍPÏVNBQÈHJOBEB*OUFSOFU NBTVN QSPHSBNBDPNWÈSJBTWFSTÜFT VNBEBTRVBJTHSBUVJUB RVFEFWFNPTEFTDBSSFHBSEB*OUFSOFUFJOTUBMBSOPOPTTP DPNQVUBEPSQBSBQPEFSNPTVUJMJ[BS 0QSPHSBNBOFDFTTJUBEFVNBMJHBÎÍPË*OUFSOFU QPJT DBEBWF[RVFTPMJDJUBNPTVNBJOGPSNBÎÍP MJHBTFBVN EPTTFSWJEPSFTEB(PPHMFFSFDFCFUPEBBTJOGPSNBÎÜFT OFDFTTÈSJBTQBSBNPTUSBSOPFDSÍPTEBEPTTPMJDJUBEPT 0TSFTVMUBEPTTÍPTVSQSFFOEFOUFT

'BÎBDMJRVFOBMJHBÎÍPQBSBEFTDBSSFHBSBWFSTÍPHSBUVJUB

2 Como descarregar o Google

Earth? 1BSB PCUFS P QSPHSBNB (PPHMF &BSUI FYFDVUBNPT POPTTPOBWFHBEPSF OBCBSSBEFFOEFSFÎPT JOUSPEV [JNPTBQÈHJOBEFPOEFWBNPTEFTDBSSFHBSPQSPHSBNB IUUQFBSUIHPPHMFDPN /B QBSUF TVQFSJPS EJSFJUB WFNPT VNB MJHBÎÍP DPN PUFYUPTransferir o Google Earth WFSTÍPHSBUVJUB 4FDMJDBSNPTOFTUBMJHBÎÍP BQBSFDFSÈVNBOPWBQÈHJOB OBRVBMUFNPTEFTFMFDDJPOBSPUJQPEFTJTUFNBPQFSB UJWPRVFVUJMJ[BNPTOPOPTTPDPNQVUBEPS"DUVBMNFOUF FYJTUFNWFSTÜFTEJTQPOÓWFJTQBSB8JOEPXT .BD04 F-JOVY 6NBWF[TFMFDDJPOBEPPOPTTPTJTUFNBPQFSBUJWP DMJ DBNPTOPCPUÍPTransferir o Google Earth "CSJSTFÈBKBOFMBEFUSBOTGFSÐODJB POEFQPEFSFNPT FTDPMIFSFOUSFFYFDVUBSEJSFDUBNFOUFBJOTUBMBÎÍPPV HVBSEBSFNEJTDPQBSBFYFDVUBSEFQPJT$PNPÏVN GJDIFJSPCBTUBOUFHSBOEF SFDPNFOEBNPTHVBSEÈMPQSJ NFJSPFNEJTDPF FNTFHVJEB FGFDUVBSBJOTUBMBÎÍP

460


PARTE

5 Ferramentas TIC

$MJDBNPTOPCPUÍPGuardar DPNPRVBMTFBCSJSÈ BDBJYBEFEJÈMPHP Guardar comoQBSBJOEJDBSBQBTUB POEFWBNPTEFTDBSSFHBSPGJDIFJSP 6NBWF[TFMFDDJPOBEBBQBTUBFPOPNF DMJDBNPTDPN PCPUÍPEPMBEPFTRVFSEPEPSBUPFNGuardarFDPNF ÎBSÈBUSBOTGFSÐODJBEP(PPHMF&BSUI

3 Instalação do Google Earth %BNPTPTTFHVJOUFTQBTTPT t 7BNPTËQBTUBQBSBPOEFEFTDBSSFHÈNPTPGJDIFJSP EP(PPHMF&BSUIFGB[FNPTEVQMPDMJRVFTPCSFFMF 'B[FNPTEVQMPDMJRVFQBSBJOJDJBSBJOTUBMBÎÍP

t " QBSFDFSÈVNBKBOFMBOBRVBMTFWFSÈVNBCBSSBEF QSPHSFTTPEPGJDIFJSPFYFDVUÈWFMEP(PPHMF&BSUIBGB[FS BUSBOTGFSÐODJBEPsoftwareQBSBPOPTTPDPNQVUBEPS t 6NBWF[UFSNJOBEBBUSBOTGFSÐODJB PFYFDVUÈWFMEBSÈ EFJNFEJBUPJOÓDJPËTVBJOTUBMBÎÍP"CBSSBEFQSP HSFTTPJOEJDBPBWBOÎPEBJOTUBMBÎÍPEPQSPHSBNB t "QØTBJOTUBMBÎÍP P(PPHMF&BSUIBCSJSÈBVUPNBUJDBNFOUF "QBSFDFSÈ FOUÍP OPFDSÍ VNBKBOFMBEFTVHFTUÜFT KBOFMB FTTBRVFQPEFNPTEFTBDUJWBS TFGPSFTTBBPQÎÍP

4 Utilização do Google Earth 1. " GPSNBNBJTDØNPEBEFFYFDVUBSP QSPHSBNBÏGB[FOEPEVQMPDMJRVFTPCSF PTFVÓDPOFOBÈSFBEFUSBCBMIP

4FOÍPEJTQPNPTEFBDFTTPEJSFDUP DMJDBNPTOP NFOVIniciarFTFMFDDJPOBNPTBPQÎÍP1SPHSBNBT NFOVIniciar clássico PVTodos os programas NFOV8JOEPXT91

BCSJNPTPHSVQPGoogle Earth FGB[FNPTDMJRVFTPCSFPFMFNFOUPGoogle Earth

VBOEPTFJOJDJBBFYFDVÎÍPEPQSPHSBNB SFBMJ[B 2 TFVNBMJHBÎÍPBPTFSWJEPSEB(PPHMFQBSBFTUB CFMFDFSBDPNVOJDBÎÍP

%F JNFEJBUP BQBSFDFSÈ P HMPCP OP OPTTP FDSÍ FPQSPHSBNBGJDBPQFSBDJPOBM


461

PARTE

Ferramentas TIC

5 2. 1BSBNPWFSB5FSSB VUJMJ[BNPTPSBUPPVPDPOUSPMP RVFBQBSFDFOBQBSUFTVQFSJPSEJSFJUBEPFDSÍ &TUFDPOUSPMPQFSNJUFHJSBSBJNBHFNFNUPEBTBTEJSFD ÎÜFTFBQSPYJNBSFBGBTUBSBWJTÍPEBNFTNB 6UJMJ[BOEPPSBUP QPEFNPTGB[FSEFTMPDBSPNBQBQFMP FDSÍFNRVBMRVFSEJSFDÎÍP$MJDBOEPDPNPCPUÍPEJSFJUP FBSSBTUBOEPPVSPEBOEPBSPEBEPOPTTPSBUP DPOTF HVJSFNPTBQSPYJNBSPVBGBTUBSBJNBHFN"MÏNEJTTP GB[FOEPDMJRVFFBSSBTUBOEPBSPEBDFOUSBMQPEFSFNPT NVEBSBQFSTQFDUJWB PRVFPSJHJOBSÈVNBJNBHFNFN SFMFWPDPNTFOTBÎÍPEF% 1PEFNPTEFTMPDBSBFTGFSBNVOEJBMDMJDBOEPFBSSBTUBOEPDPNPSBUP .VEBOÎBEFQFSTQFDUJWB 4FPSBUPQPTTVJSVNB SPEBEFEFTMPDBNFOUP QPEFJODMJOBSBWJTUB QSFNJOEPBUFDMB4)*'5 FEFTMPDBOEP1PEFBJOEB QSFNJSBNFTNBUFDMB DPNPCPUÍPEPSBUP FBSSBTUBS"QBSFDFN NBSDBEPSFTFB WJTVBMJ[BÎÍPJODMJOBTF BQBSUJSEFTTFQPOUP

3PUBÎÍPEPT QPOUPTDBSEJOBJT %FTMPDBPNBQB OBEJSFDÎÍPEB TFUBTPCSFBRVBM TFGB[DMJRVF Zoom BGBTUBSF BQSPYJNBS

3. 1BSB MPDBMJ[BS VN MVHBS OP HMPCP WBNPT VUJMJ[BS PQBJOFMEBFTRVFSEB4FMFDDJPOBNPTBPQÎÍPVoltar a JOUSPEV[JNPTPOPNFEBDJEBEFBUÏPOEFQSFUFOEFNPT JSDPNP QPSFYFNQMP Lisboa FQSFNJNPT&OUFS 1PEFNPTFTQFDJGJDBSBJOEBNBJTPMVHBSPOEFRVFSFNPT JSF OBTDJEBEFTHSBOEFT ÏBJOEBQPTTÓWFMJOEJDBSBSVB FPOÞNFSPEFQPSUBRVFEFTFKBNPTMPDBMJ[BS 1PSFYFNQMP QBSBFODPOUSBSB1PSUFMB FTDSFWFNPTOB DBJYBEFEJÈMPHPPortela, LisboaFQSFNJNPT&OUFS

462


PARTE

5

4. / BTDJEBEFTHSBOEFTUBNCÏNQPEFNPTDPOTVMUBS JOGPSNBÎÜFTTPCSFEJGFSFOUFTUJQPTEFTFSWJÎPTTFMFD DJPOBOEPPTFQBSBEPS Procurar negócios

Ferramentas TIC

6NBWF[TJUVBEPTTPCSFB1PSUFMB EFTMPDBNPTBJNBHFN BUÏFTUBSNPTTPCSFPBFSPQPSUPF VUJMJ[BOEPBSPEBEP SBUP GB[FNPTzoomBUÏPCUFSNPTVNBJNBHFNEPT BWJÜFTRVFFTUÍPFNBMHVOTEPTUFSNJOBJT

6. 1PSÞMUJNP FYJTUFBQPTTJCJMJEBEFEFNPTUSBSFNUSÐT EJNFOTÜFTBTWJTUBTEPTFEÓGJDJPTEFBMHVNBTEBTNBJT JNQPSUBOUFTDJEBEFTPVBBMUJNFUSJBEPUFSSFOP

/BTJNBHFOTTFHVJOUFTQPEFNPTBQSFDJBSVNBWJTÍP FNUSÐTEJNFOTÜFTEPTFEJGÓDJPTEBJMIBEF.BOIBUUBO FN/PWB*PSRVF FBEJGFSFOÎBEFBMUJNFUSJBEBJMIB EB.BEFJSB

PSFYFNQMP TFGPSNPTWJBKBSQBSB'BSP QPEFNPT 1 VUJMJ[BSP(PPHMF&BSUIQBSBWFSNPTPTSFTUBVSBOUFT FPTIPUÏJTRVFWBNPTWJTJUBS

0TTFSWJÎPTTÍPVNBEBTNÞMUJQMBTDBNBEBTRVFTF QPEFNNPTUSBSTPCSFVNBJNBHFN/BTFDÎÍPCamadasEPQBJOFMEBFTRVFSEB QPEFNPTTFMFDDJPOBSPRVF EFTFKBNPTWFSFNDBEBNPNFOUPTPCSFPNBQB

&YUSFNPEBJMIBEF.BOIBUUBO /PWB*PSRVF

5. 5 BNCÏNQPEFNPTVUJMJ[BSP(PPHMF&BSUIQBSB FODPOUSBSBSPUBBQFSDPSSFSFOUSFEPJTTÓUJPT1PS FYFNQMP TFRVFSFNPTJSEF'BSPB-JTCPB BDUJWBSF NPTPTFQBSBEPSComo chegarOPRVBESPDesde JOUSPEV[JNPT'BSP OPRVBESPAJOUSPEV[JNPT-JTCPB FQSFNJNPT&OUFS

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463

PARTE

Ferramentas TIC

5

A folha de cálculo Excel "GPMIBEFDÈMDVMPÏVNQSPHSBNBRVFOPTQFSNJUF SFBMJ[BSUPEPPUJQPEFPQFSBÎÜFTNBUFNÈUJDBTDPNPT EBEPTRVFJOUSPEV[JNPTOBTTVBTDÏMVMBT

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"GPMIBEFDÈMDVMPUFNVNBBQBSÐODJBTFNFMIBOUFËEF VNBUBCFMBFNGPSNBEFSFEF"UBCFMBFTUÈEJWJEJEB FNMJOIBTIPSJ[POUBJTDIBNBEBTlinhasFFNMJOIBT WFSUJDBJTDIBNBEBTcolunas"JOUFSTFDÎÍPEBTMJOIBTF EBTDPMVOBTGPSNBBTcélulas

"PFYFDVUBSBBQMJDBÎÍP TFSÈBQSFTFOUBEBBKBOFMBQSJO DJQBMEP&YDFMFVNOPWPlivro de trabalho6NMJWSPEF USBCBMIPÏVNDPOKVOUPEFGPMIBTEFDÈMDVMPRVFTÍP BSNB[FOBEBTFNDPOKVOUPDPNPVNTØGJDIFJSPPV EPDVNFOUP1PSQSFEFGJOJÎÍP RVBOEPTFDSJBVNOPWP MJWSP POÞNFSPEFGPMIBTEFDÈMDVMPRVFBQBSFDFNTÍP USÐT BJOEBRVFFTUFTFKBVNQBSÉNFUSPRVFQPEFNPT NPEJGJDBSTFHVOEPBTOPTTBTOFDFTTJEBEFTBUSBWÏTEB PQÎÍPEPNFOVFerramentas/ OpçõesFTFMFDDJPOBOEP PTFQBSBEPSGeral

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t 'JDIBTipo de letra$PNFTUBGJDIBQPEFNPTNVEBS PUJQPEFMFUSB PFTUJMPFPUBNBOIPEPDPOUFÞEPEBT DÏMVMBT1PEFNPTBQMJDBSEJGFSFOUFTUJQPTEFTVCMJ OIBEP USPDBSBDPSEPUFYUP FUD t 'JDIBNúmero1FSNJUFNVEBSPBTQFDUPEPTEBEPT OVNÏSJDPT1PEFNPTDPMPDBSQPOUVBÎÍPEFDJNBM PVSFUJSÈMB VUJMJ[BSTFQBSBEPSFTEPTNJMIBSFT DPMPDBS PTWBMPSFTOFHBUJWPTBWFSNFMIP FUD 1BSBJTTPTFMFDDJPOBNPTBGJDIBNúmeroFOBMJTUBCategoriaTFMFDDJPOBNPTPUJQPEFGPSNBUPRVFEFTFKBNPT BQMJDBSGeral Número Moeda Contabilidade FUD


469

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Ferramentas TIC

5 t "MJOIBNFOUPEPTEBEPT1PEFNPTBMJOIBSPTEBEPT QSFTFOUFTOBTDÏMVMBTIPSJ[POUBMFWFSUJDBMNFOUF5BN CÏNQPEFNPTSPEÈMPTVNEFUFSNJOBEPOÞNFSP EFHSBVTPVDPMPDÈMPTUPUBMNFOUFOBWFSUJDBM 1BSBJTTP OBGJDIBAlinhamentoQPEFNPTVUJMJ[BSBMJTUB EFTEPCSÈWFM Horizontal RVF OPT QFSNJUJSÈ BMJOIBS PDPOUFÞEPËFTRVFSEB ËEJSFJUB BPDFOUSPPVEFGPSNB KVTUJGJDBEB /BMJTUBEFTEPCSÈWFMVerticalQPEFSFNPTFTDPMIFSFOUSF TVQFSJPS JOGFSJPS DFOUSBEB FUD/BQBSUFEJSFJUBEBDBJYB EFEJÈMPHPQPEFNPTDMJDBSOPUFYUPOBWFSUJDBMQBSB JOTFSJSPDPOUFÞEPOBWFSUJDBMPVBTTJOBMBSPTHSBVTEF JODMJOBÎÍPRVFMIFEFTFKBNPTEBS

-JTUBEFDBUFHPSJBTEJTQPOÓWFJTQBSBPTGPSNBUPT EFEBEPTOVNÏSJDPT

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1PEFNPTDPMPDBS OBWFSUJDBMPDPOUFÞEP EBTDÏMVMBT

470

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4FHVOEP BDPS EPMJNJUF

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5

4FQSFUFOEFNPTFMJNJOBSOBTDÏMVMBTTFMFDDJPOBEBT VOJDBNFOUFPTGPSNBUPTBQMJDBEPTFOÍPPTDPOUFÞEPT EBTDÏMVMBT BPQÎÍPEPNFOVRVFEFWFNPTVUJMJ[BS ÏEditar/Apagar/Formatos

Referências das células 2VBOEPDPQJBNPTDÏMVMBTRVFDPOUÐNGØSNVMBTPV GVOÎÜFT P&YDFMBDUVBEFGPSNBEJGFSFOUFEPIBCJUVBM "PSFBMJ[BSFTUBPQFSBÎÍP PTFOEFSFÎPTEBTDÏMVMBTRVF DPNQÜFNBGØSNVMBPVGVOÎÍPBVNFOUBNPVEJNJ OVFNUBOUBTMJOIBTFDPMVOBTDPNPBTRVFUFOIBN TJEPEFTMPDBEBTEFTEFPTFVMVHBSPSJHJOBM*TUPEFWFTF BPGBDUPEFP&YDFMMJEBSDPNPTFOEFSFÎPTEBTDÏMVMBT OBGØSNVMBDPNPSFMBUJWBTËQPTJÎÍPOBRVBMTFFODPO USBBGØSNVMBPVGVOÎÍPJTUPÏDPOIFDJEPDPNPSFGF SÐODJBTSFMBUJWBTFÏPUJQPEFSFGFSÐODJBTRVFVUJMJ[B P&YDFMQPSQSFEFGJOJÎÍP $POUVEP FNDFSUBTPDBTJÜFTÏOFDFTTÈSJPNBOUFSGJYB BEJSFDÎÍPEFVNBDÏMVMBOVNBGØSNVMBPVOVNB GVOÎÍPPVTFKB OÍPBVNFOUBSPVEJNJOVJSBEJSFDÎÍP EBDÏMVMBBPDPQJÈMBQBSBPVUSPMVHBS1BSBDPOTFHVJS JTUPEFWFNPTJOTFSJSFNGSFOUFBPOPNFEBDPMVOBF EPOÞNFSPEBMJOIBPTÓNCPMPEFEØMBS OPFOEFSFÎP EBDÏMVMBEFTUBGPSNB"&TUBGPSNBEFVUJMJ[BSPT FOEFSFÎPTEBTDÏMVMBTEFOPNJOBTFSFGFSÐODJBTBCTP MVUBT &YJTUFVNUFSDFJSPUJQPEFSFGFSÐODJBTRVFDPOTJTUFOVNB NJTUVSBEBTEVBTBOUFSJPSFTFTFEFOPNJOBSFGFSÐODJB NJTUB&TUBVUJMJ[BTFRVBOEPRVFSFNPTRVF BPDPQJBS VNBGØSNVMBPVGVOÎÍP QBSUFEPFOEFSFÎPEBDÏMVMB QFSNBOFÎBGJYBFPVUSBQBSUFWBSJF1BSBVUJMJ[BSFTUF UJQPEFSFGFSÐODJBTJOTFSJNPTPTÓNCPMPEFEØMBS FN GSFOUFËQBSUFRVFEFTFKBNPTRVFQFSNBOFÎBGJYB1PS FYFNQMP "EFJYBSÈGJYBBDPMVOB"NBTNVEBSÈB MJOIB1PSPVUSPMBEP BSFGFSÐODJB"EFJYBSÈGJYBBMJOIB NBTNVEBSÈBDPMVOB

Ferramentas TIC

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As funções 6NBGVOÎÍPÏVNBGØSNVMBQSFEFGJOJEBDPODFCJEBQBSB SFBMJ[BSVNDÈMDVMPEFUFSNJOBEP0TFMFNFOUPTRVF GPSNBNVNBGVOÎÍPTÍPPOPNFEBGVOÎÍPFPTBSHV NFOUPT RVFQPEFNTFSWBMPSFT FOEFSFÎPTEFDÏMVMB JOUFSWBMPT FUD


471

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Ferramentas TIC

5 t %FQPJT BQBSFDFSÈPBTTJTUFOUF OPRVBMUFSFNPTEF JOUSPEV[JSPTBSHVNFOUPTRVFWBNPTVUJMJ[BSOBGVOÎÍP 4FDPOIFDFSNPTPBSHVNFOUP QPEFNPTJOUSPEV[JMP EJSFDUBNFOUFOPRVBESPEFUFYUP$BTPOÍPPDPOIF ÎBNPT QPEFNPTVUJMJ[BSPCPUÍPEFTFMFDÎÍP RVF BQBSFDFËEJSFJUBEPRVBESPQBSBPQSFFODIFS 6NBWF[QSFFODIJEPTUPEPTPTBSHVNFOUPT CBTUBSÈDMJDBS OPCPUÍPAceitarQBSBRVFBGVOÎÍPBQBSFÎBOBDÏMVMB $MJRVFQBSBTFMFDDJPOBSPDPOUFÞEPEPBSHVNFOUPBQBSUJS EBGPMIBEFDÈMDVMP

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4FMFDDJPOBSFNPTPUJQPEFHSÈGJDPBVUJMJ[BS

t 4 FMFDDJPOBNPTPJOUFSWBMPEFEBEPTRVFGPSNBSÍP PHSÈGJDP PVTFKB BTTÏSJFT t &NTFHVJEB DMJDBNPTOPCPUÍPEPBTTJTUFOUFEFHSÈ GJDPT OB CBSSB EF GFSSBNFOUBT PV VUJMJ[BNPT BPQÎÍPEPNFOVInserir/Gráfico t " QBSFDFSÈBKBOFMBEPBTTJTUFOUFOBRVBMEFWFNPT TFMFDDJPOBSPUJQPFTVCUJQPEPHSÈGJDPRVFWBNPT DSJBS 6NB WF[ TFMFDDJPOBEP DMJDBNPT OP CPUÍP Seguinte > t *OEJDBNPTTFBTTÏSJFTRVFWBNPTSFQSFTFOUBSHSBGJ DBNFOUFFTUÍPPSHBOJ[BEBTFNMJOIBTPVFNDPMVOBT FDMJDBNPTOPCPUÍPSeguinte > t & NTFHVJEBEFWFNPTDPOGJHVSBSBTPQÎÜFTEPHSÈGJDP 1BSBJTTPDPOUBNPTDPNBTGJDIBTTítulos Eixo Linhas de divisão Legenda FUD2VBOEPUJWFSNPTUFSNJOBEP BDPOGJHVSBÎÍP DMJDBNPTOPCPUÍPSeguinte > t 1PSÞMUJNP EFWFNPTJOEJDBSPOEFRVFSFNPTDPMPDBS PHSÈGJDP0&YDFMPGFSFDFEVBTQPTTJCJMJEBEFTDPMPDÈMP OVNB GPMIB OPWB PV JOUSPEV[JMP OVNB EBT GPMIBT KÈFYJTUFOUFTOPMJWSPUSBCBMIP4FMFDDJPOBNPTBPQÎÍP RVFEFTFKBNPTVUJMJ[BSFDMJDBNPTOPCPUÍPFinalizar

8 Como imprimir uma folha

de cálculo? "OUFTEFJNQSJNJSVNEPDVNFOUP UFNPTEFDPOGJHVSBS PNPEPDPNPEFWFSFBMJ[BSTFBJNQSFTTÍPEPNFTNP 1BSBJTTP VUJMJ[BSFNPTBPQÎÍPEPNFOVFicheiro/ Configurar página4FMFDDJPOBSFNPTBGJDIBPágina FOFMBFTUBCFMFDFSFNPTBPSJFOUBÎÍPEPQBQFMWFSUJDBM FIPSJ[POUBM PTFVUBNBOIPFBRVBMJEBEFEFJNQSFTTÍP

472


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5 Ferramentas TIC

/BGJDIBMargens QPEFNPTTFMFDDJPOBSPUBNBOIPEBT NBSHFOTTVQFSJPS JOGFSJPS FTRVFSEBFEJSFJUB CFNDPNP BEJTUÉODJBBRVFTFTJUVBSÈPDBCFÎBMIPEBQÈHJOBEP MJNJUFTVQFSJPSFPQÏEFQÈHJOBEPMJNJUFJOGFSJPS $PNBGJDIBCabeçalho e pé de página QPEFNPTFTUB CFMFDFSPDBCFÎBMIPEPEPDVNFOUPDMJDBOEPOPCPUÍP Personalizar cabeçalhoy 1BSBDSJBSPQÏEFQÈHJOBVUJMJ[BSFNPTPCPUÍPPersonalizar pé de páginay$MJDBOEPFNRVBMRVFSVNEPT EPJTCPUÜFTBQBSFDFSÈVNBOPWBKBOFMBEJWJEJEBFNUSÐT TFDÎÜFTFTRVFSEB DFOUSBMFEJSFJUB 1PEFNPTFTDSFWFSPTEBEPTRVFEFTFKFNPTFNDBEB VNBEBTTFDÎÜFTPVVUJMJ[BSPTCPUÜFTRVFBQBSFDFN TPCSFBTTFDÎÜFTQBSBJOTFSJSJOGPSNBÎÍPDPNPPOPNF EPMJWSPEFUSBCBMIP POPNFEBGPMIB POÞNFSPEF QÈHJOB FUD6NBWF[QSFFODIJEBTBTTFDÎÜFTEPDBCF ÎBMIPPVEPQÏEFQÈHJOB DMJDBNPTOPCPUÍPAceitar 1BSBGJOBMJ[BSBDPOGJHVSBÎÍPEBQÈHJOB DMJDBNPTOB GJDIB'PMIB/FMBQPEFNPTJOEJDBSBMHVNBTDBSBDUFSÓT UJDBTEBJNQSFTTÍPQPSFYFNQMP TFEFTFKBNPTRVF BQBSFÎBNBTMJOIBTEFEJWJTÍPEBGPMIBEFDÈMDVMP TF RVFSFNPTRVFBJNQSFTTÍPTFSFBMJ[FBQSFUPFCSBODP RVFBJNQSFTTÍPTFKBFNRVBMJEBEFEFSBTDVOIP TF QSFUFOEFNPTRVFTFJNQSJNBNPTDBCFÎBMIPTEBT DPMVOBTFPTOÞNFSPTEBTMJOIBT FUD "MÏNEJTTP TFPDPOUFÞEPEPEPDVNFOUPPDVQBNBJT EFVNBGPMIBJNQSFTTB QPEFNPTFTDPMIFSBPSEFNOB RVBMTFEFWFNJNQSJNJSBTGPMIBTBUÏBCBJYPFEFQPJT ËEJSFJUB PVQBSBBEJSFJUBFEFQPJTBUÏBCBJYP 6NBWF[FTUBCFMFDJEBBDPOGJHVSBÎÍPEBQÈHJOB QPEF NPTWFSDPNPGJDBSJBPEPDVNFOUPJNQSFTTPDPN BPQÎÍPEPNFOVFicheiro/Vista preliminar. 1BSBFOWJBSPEPDVNFOUPQBSBBJNQSFTTPSB QPEFNPT VUJMJ[BSPCPUÍP EBCBSSBEFGFSSBNFOUBTPVVTBS BPQÎÍPEPNFOVFicheiro/Imprimir"QBSFDFSÈVNB KBOFMBPOEFQPEFSFNPTTFMFDDJPOBSBJNQSFTTPSBQBSB POEFEFTFKBNPTFOWJBSBJOGPSNBÎÍPFJOEJDBS FOUSF PVUSBTDPJTBT POÞNFSPEFDØQJBTRVFEFTFKBNPTJNQSJ NJS BTQÈHJOBTRVFRVFSFNPTJNQSJNJS FUD "TTJNRVFUJWFSNPTFTUBCFMFDJEPUPEBTBTPQÎÜFTRVF EFTFKBNPTFNQSFHBS DMJDBNPTOPCPUÍPAceitarQBSB FOWJBSPDPOUFÞEPEBGPMIBEFDÈMDVMPQBSBBJNQSFT TPSB

0SEFNEFJNQSFTTÍPEBTGPMIBTRVBOEPPDVQBNBJTEFGPMIB


473

PARTE

5 Ferramentas TIC

Apresentações com PowerPoint 1 Como criar uma apresentação

com o PowerPoint? 01PXFS1PJOUÏVNQSPHSBNBRVFOPTQFSNJUFDSJBS BQSFTFOUBÎÜFTQBSBSFBMJ[BSFYQPTJÎÜFT EBSDVSTPT QMBOFBSVNQSPKFDUPy6NBBQSFTFOUBÎÍPÏVNDPO KVOUPEFEJBQPTJUJWPTRVFTFWÍPNPTUSBOEPEFGPSNB NBOVBM RVBOEPPVUJMJ[BEPSFOUFOEF PVEFGPSNB BVUPNÈUJDB DPN VN EFUFSNJOBEP JOUFSWBMP EF UFNQP /PTEJBQPTJUJWPTQPEFNPTJODMVJSJNBHFOTQSFWJBNFOUF EFTFOIBEBT HSÈGJDPT UBCFMBT GPUPHSBGJBT TPOT WÓEFPTy &NTFHVJEB WBNPTDSJBSVNBBQSFTFOUBÎÍPDPNP 1PXFS1PJOU&TUBÏVNBUBSFGBTJNQMFTRVFOPTWBJ QFSNJUJSPCUFSFYDFMFOUFTSFTVMUBEPTDPNNVJUPQPVDP FTGPSÎP

VBOEPUJWFSNPTUFSNJOBEPBOPTTBBQSFTFOUBÎÍP 2 F QBSB HVBSEBSNPT P USBCBMIP RVF SFBMJ[ÈNPT QBSBDPOUJOVBSNPTOPVUSPNPNFOUP VUJMJ[BSFNPT BPQÎÍPEPNFOVFicheiro/GuardarPVPCPUÍP

3. 2 VBOEPDSJBNPTVNBBQSFTFOUBÎÍP OBQBSUFDFOUSBM EPFDSÍBQBSFDFVNEJBQPTJUJWPFNCSBODP"QSJ NFJSBDPJTBRVFEFWFNPTGB[FSÏBCSJSPNFOVRVF BQBSFDFOPQBJOFMEBEJSFJUBFTFMFDDJPOBSBPQÎÍP Concepção do diapositivo 0 QBTTP TFHVJOUF Ï TFMFDDJPOBS OP QBJOFM EF EFTFOIP P NPEFMP EFEJBQPTJUJWPRVFWBNPTVUJMJ[BS

%FWFNPTTFHVJSFTUFTQBTTPT 1. & YFDVUBNPTPQSPHSBNB1PXFS1PJOU GB[FNPTDMJRVFOPCPUÍPIniciar TFMFD DJPOBNPT Todos os Programas PV Programas DPNPNFOVDMÈTTJDPEP 8JOEPXT

FTDPMIFNPTMicrosoft OfficeFOPTVC NFOVRVFTFBCSFGB[FNPTDMJRVFFNMicrosoft Office PowerPoint 2003

4FQPTTVJSNPTVNBUBMIPQBSBP1PXFS1PJOUOB OPTTBÈSFBEFUSBCBMIP CBTUBSÈGB[FSEVQMPDMJRVF TPCSFPNFTNPQBSBPFYFDVUBS $BUÈMPHP EFEJBQPTJUJWPT

2. 2 VBOEP FYFDVUBNPT P QSPHSBNB BQBSFDF OP FDSÍVNBOPWBBQSFTFOUBÎÍP WB[JB1BSBBCSJSVNB KÈFYJTUFOUF QPEFNPTVUJMJ[BSBPQÎÍPEPNFOV QSJODJQBMFicheiro/AbriryPVDMJDBSOPCPUÍP EB CBSSB EF GFSSBNFOUBT 1BSB DSJBS VNB OPWB BQSFTFOUBÎÍP VUJMJ[BSFNPT B PQÎÍP EP NFOV Ficheiro/NovoyPVPCPUÍP

474


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5 Ferramentas TIC

4. 6NBWF[TFMFDDJPOBEPPEFTFOIPRVFWBNPTVUJMJ [BSQBSBPEJBQPTJUJWPBDUVBM TØUFNPTEFTFHVJS BTJOEJDBÎÜFTEPNPEFMP

1 PSFYFNQMP TFDPNFÎBSNPTBOPTTBBQSFTFOUBÎÍP DPNVNEJBQPTJUJWPEFUÓUVMP RVFDPTUVNBTFS P NBJT IBCJUVBM DMJDBNPT OB NPMEVSB DPN PUFYUPFaça clique para adicionar6NBWF[JOUSPEV [JEPPUÓUVMP DMJDBNPTOBNPMEVSBJOGFSJPSFFTDSF WFNPTPTVCUÓUVMPEBOPTTBBQSFTFOUBÎÍP

5. 1BSB BEJDJPOBS VN OPWP EJBQPTJUJWP Ë OPTTB BQSFTFOUBÎÍP VUJMJ[BSFNPTBPQÎÍPEPNFOVInserir/Novo diapositivo PV DMJDBNPT OP CPUÍP EBCBSSBEFGFSSBNFOUBT

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6. 4FEFTFKBNPTDSJBSVNEJBQPTJUJWPRVFOÍPTFBEBQUB BOFOIVNEPTNPEFMPTRVFBQSFTFOUBPDBUÈMPHP EFEJBQPTJUJWPT QPEFNPTTFMFDDJPOBSPEFTFOIP BCSBODPRVFBQBSFDFOBTFDÎÍPDesenho de objectosEPDBUÈMPHPFJOTFSJSOFMFPTEJGFSFOUFTPCKFDUPT EFRVFOFDFTTJUFNPTQBSBDSJBSPOPWPEJBQPTJUJWP 1BSBBEJDJPOBSPCKFDUPT VUJMJ[BSFNPTPNFOVInserir BQBSUJSEPRVBMQPEFNPTJODMVJSEJBHSBNBT RVBESPT EFUFYUP JNBHFOT GJMNFTFTPOTy 7. 1 PEFNPTTFMFDDJPOBSWÈSJPTNPEPTEFWJTVBMJ[BÎÍP EPTEJBQPTJUJWPTRVFUFNPTDSJBEPT1BSBJTTP VUJMJ [BSFNPTPNFOVVerPVPTÓDPOFTRVFBQBSFDFNOP DBOUPJOGFSJPSFTRVFSEPEPFDSÍ

PNPEPNormal ÏPRVFBQBSFDFBPFYFDVUBS / PQSPHSBNB4FPTFMFDDJPOBSNPT OBQBSUFDFOUSBM UFSFNPTPEJBQPTJUJWPDPNPRVBMFTUBNPTBUSBCB MIBSËEJSFJUBPpainel de esquemaFOBQBSUFJOGFSJPS painel de notasEPPSBEPS POEFQPEFSFNPTFTDSFWFS BMHVNDPNFOUÈSJPTPCSFPEJBQPTJUJWPBDUVBM*TUP QFSNJUJSÈ RVF QFTTPBT RVF OÍP UFOIBN DSJBEP BBQSFTFOUBÎÍPTBJCBNPRVFTFEFWFEJ[FSBQSP QØTJUP EF DBEB VN EPT EJBQPTJUJWPT TFHVOEP PDSJUÏSJPEBQFTTPBRVFDPODFCFVBBQSFTFOUBÎÍP

0NPEPClassificador de diapositivos, NPTUSBUPEPT PT EJBQPTJUJWPT FN GPSNBUP QFRVFOP &TUB GPSNB EF WJTVBMJ[BÎÍP QFSNJUF NVEBS B PSEFN EF VN EJBQPTJUJWPDMJDBOEPTJNQMFTNFOUFOPNFTNPFBSSBT UBOEPPBUÏËQPTJÎÍPPOEFPRVFSFNPTDPMPDBS&TUB SFPSEFOBÎÍPUBNCÏNTFQPEFSFBMJ[BSOPpainel de esquemaFOPpainel de diapositivoEPNFTNPNPEP PVTFKB DMJDBOEPFBSSBTUBOEP %&4"'*04 t .BUFNÈUJDB t oBOP t .BUFSJBMGPUPDPQJÈWFMª4BOUJMMBOB$POTUÉODJB

475

PARTE

Ferramentas TIC

5 0NPEPApresentação com diapositivos, NPTUSB OPTOPFDSÍDPNQMFUPBOPTTBBQSFTFOUBÎÍPBQBSUJS EPEJBQPTJUJWPOPRVBMOPTFODPOUSBNPT4FRVJTFSNPT WFSBBQSFTFOUBÎÍPEFTEFPQSJODÓQJP EFWFNPTTJUVBS OPTOPQSJNFJSPEJBQPTJUJWPFDMJDBSOFMF

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8. 6 NBWF[DSJBEPTPTEJBQPTJUJWPT QPEFNPTNVEBS GBDJMNFOUFPBTQFDUPEBBQSFTFOUBÎÍPTFMFDDJPOBOEP OBMJTUBEFTEPCSÈWFMEPQBJOFMEBEJSFJUBBPQÎÍP Estilo do diapositivoPVFTDPMIFOEPBPQÎÍPEPNFOV Formato/Estilo do diapositivo

476

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PARTE

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Ferramentas TIC

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477

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Ferramentas TIC

5

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478


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PARTE

5 Ferramentas TIC

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479

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Ferramentas TIC

5

Sistema operativo Linux 1 O sistema operativo

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PARTE

5 Ferramentas TIC

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481

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Ferramentas TIC

5

482


PARTE

PARTE

6 Técnicas e métodos de estudo

6 Técnicas e métodos de estudo t t t

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484 484 489 491

497 503 503 510 516 519 519 524 528

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3. Estratégias: reler e explicar o procedimento Evite medos 0TBMVOPTEFTUFOÓWFM TFOUFNTFBJOEBNVJUP JOTFHVSPTRVBOEPMIFT ÏBQSFTFOUBEBVNBEJGJDVMEBEF OBTUBSFGBTJOEJWJEVBJT 5FOUFRVFOÍPDPOTVMUFN TØPNBOVBM²SFDPNFOEÈWFM RVFPTBDPNQBOIFOBDPOTVMUB NBTOÍPQBSBMIFTFYQMJDBS TØQBSBPTBKVEBSBSFMFS FBJOUFSQSFUBS

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Exemplo de um procedimento explicado verbalmente "GSBDÎÍPEFVNOÞNFSP $BMDVMBNPTEF 1.º %JWJEJNPTPOÞNFSPQFMPEFOPNJOBEPS 5 7 2.º .VMUJQMJDBNPTPRVPDJFOUFPCUJEPQFMPOVNFSBEPS35 -PHPEF5

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Exemplo de um procedimento explicado graficamente $«-$6-0%*7*%*36./Á.&30/"563"-103&103 5 30

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PARTE


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Data de entrega

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526


PARTE


&TUSBUÏHJBTSFEJHJSPUSBCBMIPGJOBM "PSFEJHJSPUSBCBMIPGJOBM IÈRVFUFSFNDPOUBPTTFHVJOUFTBTQFDUPT t 4FHVJSGJFMNFOUFPQMBOP t .BSDBSDPSSFDUBNFOUFPTUÓUVMPTEFDBEBTFDÎÍPFTVCTFDÎÍP t *OUFSDBMBSJMVTUSBÎÜFT HSÈGJDPT y t &YQSFTTBSTFDPNTJNQMJDJEBEFFDMBSF[B 4FPBMVOPMJEPVDPNJOGPSNBÎÜFTOÍPUFYUVBJT EFDJEJSÈPRVFGB[FSDPN FTTFTDPOUFÞEPT t 4FGPSFNHSÈGJDPTPVEFTFOIPT EFWFSÈDPQJÈMPT t 4FGPSFNJNBHFOTQBSBJOTFSJS EFWFSÈDPMÈMBTPVEJHJUBMJ[ÈMBT t 4FGPSFNJOGPSNBÎÜFTSFEJHJEBT EFWFSÈFTDSFWÐMBTDPNBTTVBTQSØQSJBT QBMBWSBT 0RVFTFSFWÐBOUFTEFEBSPUSBCBMIPQPSUFSNJOBEP 0SHBOJ[FDPNPTBMVOPTVNBTFTTÍPQBSBRVFSFWFKBNPTTFVTUSBCBMIPT BOUFTEFDPNQPSFNPdossier$BEBRVBMUFSÈPTFVUSBCBMIPËTVBGSFOUF $0.0&91-*$"3 1.º 3FWJTÍPEPNFV USBCBMIP&TUÈUVEP

7FSJGJDPRVFFTUÍPUPEBTBTTFDÎÜFT FTVCTFDÎÜFT

2.º 3FWJTÍP "PSHBOJ[BÎÍP

7FSJGJDPRVFDBEBTFDÎÍPFDBEBTVCTFDÎÍPFTUÍP BTTJOBMBEBTTFHVOEPBTVBDBUFHPSJB

3.º 3FWJTÍP &YQSFTTÍPFPSUPHSBGJB

7FSJGJDPRVFBSFEBDÎÍPFTUÈDPSSFDUBFYQSFTTÍP TJOBJTEFQPOUVBÎÍP FSSBUBT7FSJGJDPTFOÍPIÈ FSSPTEFPSUPHSBGJB

6NBWF[PSEFOBEP

/VNFSBSBTQÈHJOBT

&MBCPSBSPÓOEJDF

$PNPTFDPNQÜFPdossier? *OEFQFOEFOUFNFOUFEFPUSBCBMIPTFBQSFTFOUBSFNQBQFMPVOVNTVQPSUF JOGPSNÈUJDP FYJTUFNBMHVNBTDPOTUBOUFT

1ÈHJOBEFSPTUP

t 5ÓUVMPEPUSBCBMIP DPNJMVTUSBÎÍPPVOÍP t %BEPTEPBVUPSPVBVUPSFT t 0VUSPTEBEPTRVFUJWFSJOEJDBEPPEPDFOUF t 0UÓUVMPEFDBEBTFDÎÍPFPOÞNFSPEFQÈHJOBFNRVF

¶OEJDF

DPNFÎBDBEBVN

t 1PEFFTUBSOPQSJODÓQJPPVOPGJN

%FTFOWPMWJNFOUP

t $BUFHPSJBTEPTUÓUVMPTCFNBTTJOBMBEBT t 5ÓUVMPTFOÞNFSPTEFQÈHJOBTEFBDPSEP DPNPÓOEJDF

t "QSFTFOUBÎÍPMJNQF[B NBSHFOT FTQBÎPT PSUPHSBGJBy #JCMJPHSBGJB

t $JUBSUPEBTBTGPOUFTVUJMJ[BEBT t 4JUVÈMBOPGJOBMEPEJTDVSTP


527

PARTE


6

"QSFTFOUBSFYQPTJÎÜFTPSBJT &NRVFDPOTJTUFVNBFYQPTJÎÍPPSBM "FYQPTJÎÍPPSBMGBWPSFDF t PBVUPDPOUSPMP t BBVUPFTUJNB t BGMVJEF[WFSCBM t BNFNØSJB

&YQPSVNUFNBPSBMNFOUFFYJHFRVFBQFTTPBTFEPDVNFOUFFRVFPSHBOJ[F PEJTDVSTPFNUPSOPEFVNQMBOP 0SB PFTGPSÎPFPUSBCBMIPQSÏWJPTGJDBNTVCPSEJOBEPTBPSFTVMUBEPGJOBM BFYQPTJÎÍPQFSBOUFPQÞCMJDP&OFTTFNPNFOUPEBFYQPTJÎÍP PTBTQFDUPT GPSNBJTDPNPBQPTUVSBFBEJDÎÍPTÍPEFDJTJWPT²JNQSFTDJOEÓWFM t NBOUFSVNBQPTUVSBEJSFJUB PNBJTOBUVSBMQPTTÓWFM t NPWFSBTNÍPTEFGPSNBDPOUSPMBEB TFNFYBHFSPT t QSPOVODJBSDPSSFDUBNFOUFBTQBMBWSBT t DPOUSPMBSPWPMVNFEBWP[GBMBSBMUP NBTTFNHSJUBS t BKVTUBSBFOUPBÎÍPBPEJTDVSTPFNBOUFSPSJUNP

2VBJTTÍPPTPCKFDUJWPTEBTFYQPTJÎÜFTPSBJT "TFYQPTJÎÜFTPSBJTUÐNGJOTEJTUJOUPT1PSFYFNQMP QBSBRVFPTBMVOPT t TFIBCJUVFNBQMBOJGJDBSUSBCBMIPTDPNVNBDFSUBFOWFSHBEVSB t DPOTJHBNNBOVTFBSGPOUFTEFEPDVNFOUBÎÍP t BQMJRVFNBQSFOEJ[BHFOTBQBSUJSEFVNQPOUPEFWJTUBNVMUJEJTDJQMJOBS t TFKBNDBQB[FTEFFYQPSDPOIFDJNFOUPTEFGPSNBPSHBOJ[BEBQFSBOUFVN QÞCMJDP 5BMDPNPDPNBFMBCPSBÎÍPEFUSBCBMIPTFTDSJUPT QBSBQSFQBSBSVNBFYQP TJÎÍPPSBMÏOFDFTTÈSJPRVFPBMVOPDPOIFÎBEFBOUFNÍPUPEBTBTGBTFTRVF EFWFSÈMFWBSBDBCPFRVFQSFWFKBPTUFNQPTOFDFTTÈSJPT Data do pedido

Data de entrega

&MBCPSBSVNQMBOP 1SPDVSBSJOGPSNBÎÍP FPSHBOJ[ÈMB

t $PNQMFUBSPQMBOPDPN SFTVNPTFFTRVFNBT t 1SFQBSBSNBUFSJBJT RVFTFWÍPNPTUSBS

&OTBJBSBFYQPTJÎÍP

t 3FDJUBSWÈSJBTWF[FT BFYQPTJÎÍP

&YQPTJÎÍPPSBM

&TUSBUÏHJBTUJSBSQBSUJEPEPQMBOPEFUSBCBMIP 0QMBOPUPSOBTFPFJYPEFUPEBTBTEFNBJTBDUJWJEBEFT RVFTÍPFTUBT t 1FTRVJTBEFJOGPSNBÎÍP0QMBOPPSJFOUBBQFTRVJTBFBTFMFDÎÍP t - FJUVSB DPNQSFFOTJWB -FS PT UFYUPT JOGPSNBUJWPT TFMFDDJPOBEPT FDPNQSFFOEÐMPT t * OUFSQSFUBÎÍPEFPVUSPTDØEJHPT$PNQSFFOEFSHSÈGJDPT UBCFMBT JNBHFOT TFRVÐODJBTWJTVBJTy RVFWÍPTVSHJOEPEVSBOUFBQFTRVJTB t 3FTVNPFFTRVFNBUJ[BÎÍP3FTVNJSJOGPSNBÎÜFTFFMBCPSBSFTRVFNBT QBSBDPNQMFUBSPQMBOP

528


PARTE


t 3FEBDÎÍP BSHVNFOUBUJWB 3FEJHJS BSHVNFOUPT DPNFOUÈSJPT TPCSF BTJOGPSNBÎÜFTFYQPTUBTFPQJOJÜFTQFTTPBJTRVFGBSÍPQBSUFEBFYQPTJÎÍP t . FNPSJ[BÎÍP.FNPSJ[BSPQMBOPFNFNPSJ[BSPTEBEPTFBTJOGPSNBÎÜFT QFSUJOFOUFT QBSBRVFEVSBOUFBFYQPTJÎÍPOÍPTFEFQFOEBFNFYDFTTP EPTQBQÏJT #BTUBVNQFRVFOPQMBOP /VNQSJNFJSPNPNFOUP QBSBQMBOJGJDBSBFYQPTJÎÍPÏTVGJDJFOUFVNQMBOP CÈTJDP DPNPPRVFVUJMJ[BSÓBNPTQBSBQSFQBSBSVNUSBCBMIPFTDSJUP.BTQBSB FOTBJBSBFYQPTJÎÍPÏOFDFTTÈSJPJODPSQPSBSUPEBBJOGPSNBÎÍPRVFTFWBJ FYQPSFNGPSNBEFFTRVFNBTFSFTVNPT QBSBRVFPDVQFPNFOPTQPTTÓWFM 2VBOEPÏRVFVNBMVOPOFDFTTJUBEFBKVEB ²SB[PÈWFMRVFPBMVOPOFDFTTJUFEBBKVEBEFVNBEVMUPFNBMHVNNPNFOUP EPQSPDFTTP1PSFYFNQMP

1. " PFMBCPSBSVNQMBOP DPNPEFGJOJUJWP

$POTVMUBSDPNPQSPGFTTPSTFQPEFTFSEBEP

2. " PQFTRVJTBSJOGPSNBÎÍPFBPPSHBOJ[ÈMB GJÈWFJT 3. "PFOTBJBSBFYQPTJÎÍP 4. "PFYQPS

$POTVMUBSRVFGPOUFTTÍP

'B[FSVNUFTUFEJBOUFEFPVUSBQFTTPB

%JTQPSEFBMHVÏNQBSBMJEBSDPNPTNFJPTUFDOPMØHJDPT

&TUSBUÏHJBTFOTBJBSBFYQPTJÎÍP %VSBOUFPTFOTBJPT ²NVJUPPQPSUVOPGBMBS FNGSFOUFBVNFTQFMIP DPOUSPMBTFNFMIPSBQPTUVSB PTHFTUPTFPPMIBS

"OUFTEFFGFDUVBSBFYQPTJÎÍPPSBM PBMVOPEFWFSÈFOTBJÈMBWÈSJBTWF[FT KÈRVFDPNJTTPQPEFSÈ t %PNJOBSBJOGPSNBÎÍP PRVFMIFQFSNJUJSÈVUJMJ[BSPQMBOPTPNFOUFDPNP BKVEB t 'MFYJCJMJ[BSBFYQSFTTÍPFOÍPEFQFOEFSEBNFNØSJBMJUFSBMDBTPTFFTRVFÎB EFBMHPPVDBTPGVKBMJHFJSBNFOUFBPQMBOP TBCFSÈTBJSEBTJUVBÎÍP t /ÍPTFEFTWJBSEPUFNBOFNEVWJEBSPQÞCMJDPOÍPTFBCPSSFDFSÈ ²JNQPSUBOUFRVFPBMVOPDPNQSFFOEBRVFEVSBOUFPTFOTBJPTUFNEFUFS BUFOÎÍPTJNVMUBOFBNFOUFBUSÐTBTQFDUPT "41&$504

$0.0&91-*$"3

0DPOUFÞEP %FRVFFTUPVBGBMBS

"QSFOEPEFNFNØSJBPQMBOP "QSFOEPEFNFNØSJBPTFTRVFNBT "QSFOEPBJOGPSNBÎÍP

"FYQSFTTÍP $PNPFYQMJDBS

3FQJUPVNBFPVUSBWF[PEJTDVSTP QBSBNFBDPTUVNBS BDPOUBSPNFTNPEFWÈSJBTGPSNBT

"QPTUVSBFBWP[ $PNPFTUPVBGBMBS

&OTBJPEFGSPOUFEFVNFTQFMIPF TFQPTTÓWFM EFGSPOUF EFPVUSBQFTTPB


529

PARTE

²OFDFTTÈSJPQSFQBSBSNBUFSJBJT


4FTFWÍPBQSFTFOUBSNBUFSJBJTPVRVBMRVFSPCKFDUPEVSBOUFBFYQPTJÎÍP IÈ RVFQSFQBSÈMPTFVUJMJ[ÈMPTEVSBOUFPTFOTBJPT FNVJUPFTQFDJBMNFOUFDBTP TFUSBUFEFFRVJQBNFOUPTEFÈVEJPPVWÓEFP/PTFOTBJPT PBMVOPNPTUSÈ MPTÈPVDPMPDÈMPTÈFNGVODJPOBNFOUP DPNPTFFTUJWFTTFQFSBOUFPQÞCMJDP EFTTBGPSNB FWJUBSÈJNQSFWJTUPTRVFQPEJBNQÙSFNQFSJHPBFYQPTJÎÍP 0TNBUFSJBJTBVEJPWJTVBJTTÍPVNFYDFMFOUFDPNQMFNFOUPEVSBOUFVNB FYQPTJÎÍPPSBMEFTFOIPT GPUPHSBGJBT NVSBJT HSBWBÎÜFTEFTPOT JNBHFOTy

&TUSBUÏHJBTBQSFTFOUBSBFYQPTJÎÍP 2VBOEPDIFHBPNPNFOUPEBFYQPTJÎÍPPSBMEJBOUFEPQÞCMJDP QÜFTF ËQSPWBBQMBOJGJDBÎÍPFBQSFQBSBÎÍPBOUFSJPSFT /FNTØPQSPUBHPOJTUBEBFYQPTJÎÍPUFNVNQBQFMBEFTFNQFOIBSPDPOUFYUP EFWFTFSPBEFRVBEPFPTEFNBJTQBSUJDJQBOUFTQPEFNUBNCÏNDPOUSJCVJS QBSBRVFUVEPTBJBCFN

$POEJÎÜFTGÓTJDBT

t &TQBÎPBDPOEJDJPOBEP t ;POBEPBQSFTFOUBEPS[POBQÞCMJDB

"EVMUPSFTQPOTÈWFM

t "NCJFOUFEFBDPMIJNFOUP t "KVEBDPNBQBSFMIPT JOTUSVNFOUPT

$PMFHBT

t #PBSFDFQÎÍP t 3FTQFJUP

$PNPJOJDJBSBFYQPTJÎÍP ²SFDPNFOEÈWFMRVFPTBMVOPTTFBQSFTFOUFNQFSBOUFPTTFVTDPMFHBT EFGPSNBFTQPOUÉOFBFTJNQMFT0PCKFDUJWPÏRVFMIFTFYQPOIBNPUFNB EFRVFWÍPGBMBSF UBMWF[ RVFJOEJRVFNSFTVNJEBNFOUFBPSEFNRVFWÍP TFHVJS 5BMWF[BMHVOTBMVOPTQSFGJSBNFYQMJDBSPOEFPCUJWFSBNBJOGPSNBÎÍPBOUFT EFJOJDJBSFNBFYQPTJÎÍPQSPQSJBNFOUFEJUB 0VUSPTQPEFNRVFSFSNPTUSBSBPTDPMFHBTPNBUFSJBMBPMPOHPEBTVBFYQP TJÎÍP RVFMIFTFOTJOBSÈDPNPMJEBSDPNVNJOTUSVNFOUP FUD $PNPUFSNJOBS 0GJOBMEFWFFTUBSQSFWJTUPEFGPSNBNVJUPFTQFDJBMOPQMBOPFÏOFDFTTÈSJP QSFQBSÈMPCFNEVSBOUFPTFOTBJPT

"WBMJBÎÍPDPOTUSVUJWB 1SPQPOIBBPTBMVOPT RVFGPSNBNPQÞCMJDP RVFFYQSFTTFNPRVFNBJT HPTUBSBNEBFYQPTJÎÍPPSBM RVFBDBCBNEFFTDVUBS

530

t "ÞMUJNBJOGPSNBÎÍPUFNEFFODFSSBSCFNPUFNB t $ POWÏNRVFTFOPUFQFMBFOUPBÎÍPOBGBMB5FNEFEBSBTFOTBÎÍP EFGFDIP t "FYQSFTTÍPEBDBSBFPTHFTUPTEBTNÍPTEFWFNJOEJDBSRVFBFYQPTJÎÍP UFSNJOPV /BTFYQPTJÎÜFTFOUSFDPMFHBT ÏJOUFSFTTBOUFQFSNJUJSVNBSPOEBEFQFSHVO UBTEJSJHJEBTBPBQSFTFOUBEPSPVBJOEBVNBSPOEBEFPQJOJÜFTTPCSFPUFNB FYQPTUP


PARTE

PARTE

7 Vocabulário escolar

7 Vocabulário escolar

Introdução Verbos instrucionais

532 533

531

PARTE

7



Introdução "FYJTUÐODJBEFUFSNPTRVFPBMVOPEFTDPOIFDFPVOÍPEPNJOBOBUPUBMJEBEF OPTFOVODJBEPTEPTFYFSDÓDJPTFTDP MBSFT QPEFGB[FSDPNRVFFTUFEÐSFTQPTUBTFSSBEBTPVDPNRVFBTTVBTSFTQPTUBTOÍPDPSSFTQPOEBNFYBDUBNFOUF BPRVFFSBQFEJEP QPSNÈJOUFSQSFUBÎÍPEPFOVODJBEP&TUFÏVNQSPCMFNBRVFPDPSSFDPNGSFRVÐODJBFOUSFPT BMVOPTQPSUVHVFTFTFRVFTFBHSBWBOPTBMVOPTEFPVUSBTMÓOHVBTNBUFSOBT 0WPDBCVMÈSJPFTDPMBSRVFBRVJBQSFTFOUBNPTDPOTJTUFOVNDPOKVOUPEFWFSCPTRVFPDPSSFNOPSNBMNFOUFOPT FOVODJBEPTEPTFYFSDÓDJPT4ÍPWFSCPTDPNPŭJEFOUJGJDBSŮ ŭDJSDVOEBSŮ ŭSFGFSJSŮ FUD"MJTUBOÍPÏFYBVTUJWBFSFTVMUBEF VNMFWBOUBNFOUPEFWFSCPTSFBMJ[BEPBQBSUJSEBDPOTVMUBEFNBOVBJTFTDPMBSFT EFGJDIBTEFBWBMJBÎÍPFEFQSPWBT EFBGFSJÎÍP 1BSBDBEBUFSNPÏBQSFTFOUBEBVNBEFGJOJÎÍP VNFYFNQMPDPODSFUPFBUSBEVÎÍPEPUFSNPFNVDSBOJBOP DBCP WFSEJBOPFNBOEBSJN"TQBMBWSBTEPVDSBOJBOPFEPNBOEBSJN FTDSJUBTFNBMGBCFUPDJSÓMJDPFFNDBSBDUFSFTDIJOFTFT SFTQFDUJWBNFOUF TÍPBOUFDFEJEBTEFVNBSFQSFTFOUBÎÍPBMGBCÏUJDPGPOÏUJDBEFBQPJPËTVBMFJUVSB &TUFÏVNNBUFSJBMEFRVFPQSPGFTTPSTFQPEFTFSWJSQBSBBKVEBSPTBMVOPTFTUSBOHFJSPT FUBNCÏNPTQPSUVHVFTFT BNFMIPSDPNQSFFOEFSFNBTJOTUSVÎÜFTEPTFOVODJBEPT 0DPOUFÞEPEFTUFDBQÓUVMPGPJBEBQUBEPEP$%EBPCSB.ATEUS .BSJB)FMFOB1EREIRA %VMDF'ISCHER (MØSJB DPPSE — Diversidade Linguística na Escola Portuguesa-JTCPB'VOEBÎÍP$BMPVTUF(VMCFOLJBO &TUBPCSBSFÞOFPTSFTVMUBEPTEBJOWFTUJHBÎÍPMFWBEBBDBCPOP1SPKFDUP%JWFSTJEBEF-JOHVÓTUJDBOB&TDPMB1PSUVHVFTB EFTFOWPMWJEPOP*OTUJUVUPEF-JOHVÓTUJDB5FØSJDBF$PNQVUBDJPOBM *-5&$ FOUSFF0QSPKFDUPGPJGJOBODJBEP QFMB'VOEBÎÍP$BMPVTUF(VMCFOLJBOFUFWFBDPMBCPSBÎÍPEP.JOJTUÏSJPEB&EVDBÎÍP 1BSBNBJTJOGPSNBÎÜFT DPOTVMUFBQÈHJOBEB*OUFSOFUEPQSPKFDUPFNIUUQXXXJMUFDQUEJWMJOHJOEFYIUNM

1ØTUFSEP1SPKFDUP%JWFSTJEBEF-JOHVÓTUJDBOB&TDPMB1PSUVHVFTB

532


KVOUBSPVBEJDJPOBS BMHVNBDPJTBBPVUSB

PSHBOJ[BSFNHSVQPT DPOKVOUPT DMBTTFTPV DBUFHPSJBT

GB[FSVNB NPEJGJDBÎÍP NPEJGJDBS

PCTFSWBSPV DPOTJEFSBS BUFOUBNFOUFFFN QPSNFOPS BGJNEF QFSDFCFS FTDMBSFDFS PVFYQMJDBS

SFGFSJS FYQPSBMHP

BQSFTFOUBS BSHVNFOUPT SB[ÜFT QBSBEFGFOEFSVNB JEFJB PQJOJÍP FUD

SFBMÎBSDPNVNB NBSDBPVVNTJOBM

acrescentar

agrupar

alterar

analisar

apresentar

argumentar

assinalar

DEFINIÇÃO

3 0YJHÏOJP "[PUP 0VUSPTHBTFT

0BSÏDPOTUJUVÓEPQPSPYJHÏOJP

B[PUP FPVUSPTHBTFT AssinalaDPNVNBDSV[ x PQSJODJQBMDPOTUJUVJOUFEPBS

3&VBDIPRVFBSFDJDMBHFNÏNVJUPJNQPSUBOUF QPJTBPTFQBSBSPMJYPQPVQBNPTPNFJPBNCJFOUF FDPOUSJCVÓNPTQBSBPOPTTPCFNFTUBSOPGVUVSP

ArgumentaBGBWPSEBSFDJDMBHFNEFQSPEVUPT

3NJMJMJUSPTEFMFJUF

$POTJEFSBBGSBTF0+PÍPCFCFVD-EFMFJUF Apresenta BNFTNBRVBOUJEBEFEFMFJUFFN NJMJMJUSPT

30TVKFJUPEBGSBTFÏŭP+PÍPŮ

Analisa BTFHVJOUFGSBTF0+PÍPHPTUBEFCPMPT 2VBMÏPTVKFJUPEBGSBTF

3""OBGBMBSÈNVJUP

Altera BGSBTFTFHVJOUFEFNPEPRVFPUFNQP WFSCBMEBGSBTFTFKBPGVUVSPEPJOEJDBUJWP""OB GBMBNVJUP

3/PNFTDÍPFCPMP 7FSCPTDBTBSFDPNFS

Agrupa BTQBMBWSBTDPNBNFTNBDMBTTF HSBNBUJDBMDÍP DBTBS DPNFS CPMP

3$PNPUFDIBNBT

Acrescenta BQPOUVBÎÍPBEFRVBEBËTFHVJOUF GSBTFJOUFSSPHBUJWB$PNPUFDIBNBT

EXEMPLO

TJOBMB NBSLBLVTJOBM QPJVOTJOBM

BSHVNFOUB GMBQBNPEJ EJGFOEFVOJEFBPVO PQJOJPO NPTUSBNBUFO SB[PO

BQSJ[FOUB NPTUSBBMHVO LVTB

BOBMJ[B SBQÈSBESFUV EKPCFESFUV NPLJ LVTBÏ

BMUFSB NPEJGJLB NVEB USPLB

BHSVQB EKVOUB PSHBOJ[BOBVOHSVQP

LJSTFOUB LJSTJ QPJNBT EKVOUB PNFOUB

CRIOULO CV

позначати

poznacháty

аргументувати

argumentuváty

показувати, становити

рokázuvaty, stanovýty

аналізувати

analizuváty

змінювати

zmíniuvaty

групувати

grupuváty

fēn zǔ

zuò jì hào yǐ biāo shì

biàn lùn

jiè shào

fēn xī

gǎi biàn

bǎ

jiā

dodaváty

додавати

MANDARIM

UCRANIANO


VERBOS INSTRUCIONAIS

PARTE

7


533

534

FTUBCFMFDFSVNB MJHBÎÍPPVSFMBÎÍP FOUSFEPJTPVNBJT FMFNFOUPT

GB[FSDÈMDVMPTDPOUBT QBSBEFUFSNJOBSVNB RVBOUJEBEF PVHSBOEF[B

GB[FSVNDÓSDVMP ËWPMUBEFBMHP

JEFOUJGJDBSBDBUFHPSJB EFVNFMFNFOUP EFOUSPEFVN DPOKVOUP

EBSVNBPQJOJÍP PVFYQMJDBÎÍPTPCSF EFUFSNJOBEPBTTVOUP

calcular

circundar

classificar

comentar

DEFINIÇÃO

associar


QÐTTFHP NBÎÍ CBOBOB

A t t t

t t t

t t t

t t t

NBDJFJSB CBOBOFJSB QFTTFHVFJSP

#

NBDJFJSB CBOBOFJSB QFTTFHVFJSP

#


LBMLVMB GBTFLØOUB

BTPTJB SFMBTJPOBEPTP NBTLVTBLV LVOQBOIFSV EKVOUB LVTB OBLVOQBOIFSV

CRIOULO CV

3/ÍPTFEFWFDPOEV[JSEFQPJTEFCFCFS VNBWF[ RVFBTCFCJEBTBMDPØMJDBTEJNJOVFNBDBQBDJEBEF EFBUFOÎÍPFEFSFBDÎÍPEPDPOEVUPS

ComentaBTFHVJOUFGSBTF4FDPOEV[JS OÍPCFCB

3"QBMBWSBŭMJWSPŮGB[QBSUFEBDMBTTFHSBNBUJDBM EPTOPNFT

Classifica HSBNBUJDBMNFOUFBQBMBWSBŭMJWSPŮ

3CPSSBDIB DIÈWFOB UFMFWJTÍPFMÈQJT

LPNFOUB EBPQJOJPO TPCSJVOBTVOUV QBQJB EJBTVOUV TQMJLB

MVHÈS

LMBTJGJLB PSEJB QPLBEB LVTBOBTJ

TJSLVOEBGBTFVOSPEB %PTPCKFDUPTRVFTFTFHVFN circundaBRVFMFT RVFVUJMJ[BTOBFTDPMBCPSSBDIB DIÈWFOB UFMFWJTÍP OBWPMUBEJBMHVOLVTB FMÈQJT

30+PÍPQFTBRVJMPT

0+PÍPUFNEVBTWF[FTPQFTPEB.BSJB ".BSJBQFTBRVJMPTCalculaPQFTPEP+PÍP

3

QÐTTFHP NBÎÍ CBOBOB

A

AssociaPGSVUPEBDPMVOB"ËÈSWPSFEBDPMVOB#

EXEMPLO

pidrakhóvuvaty

коментувати

komentuváty

класифікувати

klasyfikuváty

оточувати

otóchuvaty

підраховувати

píng lùn

jìn xíng fēn lèi

huà quān

jì suàn

jiàn lì lián xì

zv'iázuvaty, z'iédnuvaty

зв’язувати, з’єднувати

MANDARIM

UCRANIANO

Vocabulário escolar PARTE

7

PMIBSQBSBEVBT PVNBJTDPJTBTFEJ[FS BTEJGFSFOÎBT FTFNFMIBOÎBTRVF FYJTUFNFOUSFTJ

UPSOBSVNBDPJTB VNBGSBTF QPS FYFNQMP DPNQMFUB BEJDJPOBOEPMIF PRVFGBMUB

QÙSGJN UFSNJOBS

UFSFNDPOUB PCTFSWBS

EJ[FSEFRVFÏ DPOTUJUVÓEP

DSJBSBMHVNBDPJTB

VTBSBMHVNBDPJTB VN EJDJPOÈSJP VNMJWSP FUD

QBSBPCUFS JOGPSNBÎÜFT FTDMBSFDJNFOUPT FYQMJDBÎÜFT

comparar

completar

concluir

considerar

consistir

construir

consultar

DEFINIÇÃO

TÍP

3#ÞTTPMBÏVNBQBSFMIPEFPSJFOUBÎÍPRVF QPTTVJVNBBHVMIBNBHOÏUJDBRVFJOEJDBPOPSUF

Consulta OVNEJDJPOÈSJPPTJHOJGJDBEPEBQBMBWSB ŭCÞTTPMBŮ

30+PÍPFTUVEBUPEPTPTEJBT

ConstróiVNBGSBTFFNRVFVUJMJ[FTPWFSCP ŭFTUVEBSŮ

30BSÏVNBNJTUVSBEFHBTFTRVFGPSNB BBUNPTGFSB²DPOTUJUVÓEPQPSPYJHÏOJP B[PUP FPVUSPTHBTFT

%J[FNRVFconsistePBS

3"GPSNBWFSCBMŭDBJVŮFODPOUSBTFOPQSFUÏSJUP QFSGFJUPEPJOEJDBUJWP

ConsideraBTFHVJOUFGSBTF""OBDBJV2VBMÏP UFNQPEBGPSNBWFSCBMŭDBJVŮ

3(SÍPBHSÍPFODIFBHBMJOIBPQBQP

ConcluiPQSPWÏSCJPHSÍPBHSÍP

35PEPTPTMFÜFTTÍPTFMWBHFOT

5PEPTPT

CompletaBGSBTFDPNBTQBMBWSBTŭTFMWBHFOTŮ FŭMFÜFTŮ

3/ÍP/BQSJNFJSBGSBTF ŭB"OBŮÏPTVKFJUP FOBTFHVOEBŭB"OBŮÏPDPNQMFNFOUPEJSFDUP

0+PÍPBCSBÎPVB"OB ŭ""OBŮÏPTVKFJUPOBTEVBTGSBTFT

ComparaBTTFHVJOUFTGSBTFT ""OBBCSBÎPVP+PÍP

EXEMPLO

LPOTVMUB EKPCF JOGPSNBTPOOBBMHVO LBV

LPOTUSVJ GBTF

LPOTJTUJ GMBLVTÏLJUFO OBFM

LPOTJEFSB QFOTB NBUVUB LVEB P[FSCB TVNÈSB

LPOLMVJLBCB GJOEB UFSNJOB

LPOQMFUB QPJEKVOUB LFMLJGBMUB

LPOQÈSB EKPCFEPT LVTBQBNPTUSBTFT EJGFSFOTBLVTJNFMIBOTB

CRIOULO CV

пошукати, подивитися

poshukáty, podyvýtysia

будувати, створювати

buduváty, stvóriuvaty

складатися

skladátysia

вважати, враховувати, розглядати

vvazháty, vrakhóvuvaty, rozgliadáty

закінчувати

zakínchuvaty

доповнювати

dopóvniuvaty

chá xún

gòu zào

cún zài yú

kǎo lǜ

wán chéng

wán chéng

bǐ jiào

porívniuvaty

порівнювати

MANDARIM

UCRANIANO



PARTE

7


535

536

FTDSFWFSPVEFTFOIBS BMHVNBDPJTB FYBDUBNFOUFDPNP FTUÈFTDSJUBPV EFTFOIBEBOPVUSP TÓUJP

BMUFSBSBMHVNBDPJTB RVFFTUÈFSSBEB EF NPEPRVFGJRVF DPSSFDUB

EJTDVUJSVNBTTVOUP DPNPVUSBTQFTTPBT

QSPWBSBMHPFYQMJDBS QPSNFOPSJ[BEBNFOUF FFYFNQMJGJDBS PGVODJPOBNFOUP EFBMHP

BDIBS FODPOUSBS MPDBMJ[BS

corrigir

debater

demonstrar

descobrir

DEFINIÇÃO

copiar



30OPNFDVKBGPSNBOPTJOHVMBSÏJHVBMËGPSNB OPQMVSBMÏMÈQJTVNMÈQJTEPJTMÈQJT

%PTRVBUSPOPNFTRVFTFTFHVFN descobre BRVFMFFNRVFBGPSNBOPQMVSBMÏJHVBMËGPSNB OPTJOHVMBSNBQB CPSSBDIB MÈQJTFRVBESP

30OÞNFSPÏVNOÞNFSPQSJNPQPSRVFÏ QPTTÓWFMEJWJEJMPQPS FQPS

6NOÞNFSPQSJNPÏVNOÞNFSPRVFBQFOBTTF QPEFEJWJEJSQPSFQFMPQSØQSJPOÞNFSP DemonstraRVFPOÞNFSPÏVNOÞNFSPQSJNP

4FQFOTBSFTCFN OÍPEÈUBOUPUSBCBMIPBTTJN %FWJBTGB[ÐMPQBSBQSFTFSWBSPNFJPBNCJFOUF

3"NJNEÈNFNVJUPUSBCBMIPTFQBSBSPMJYP

DebateDPNPUFVDPMFHBPUFNBEBSFDJDMBHFN

30TNFOJOPTFTUÍPBCSJODBS

"TFHVJOUFGSBTFFTUÈFSSBEBPTNFOJOPFTUBS BCSJODBSCorrigeB

3/ÍPGPJËFTDPMBQPSRVFTFFODPOUSBWB DPOTUJQBEP

Copia EPUFYUPBGSBTFRVFFYQMJDBQPSRVF NPUJWPP7BTDPOÍPGPJËFTDPMB07BTDPPOUFN GJDPVFNDBTB/ÍPGPJËFTDPMBQPSRVFTF FODPOUSBWBDPOTUJQBEP

EXEMPLO

EJTLVCSJ BUYBBMHVO LVTB

EJNPOTUSB NPTUSB TQMJLB BMHVOLVTBEB QSPWBEJBMHVOLVTB

EJCBUF EJTLVUJVO BTVOUV QBQJBEJVO BTVOUV

LVSJKJ JNFOEB USBÏSV

LPQJB GBTFJHVBM LPQJB EJBMHVOLBVQBPUVLBV

CRIOULO CV

знаходити, відшукати

znakhódyty, vidshukáty

демонструвати

demonstruváty

обговорювати

obgovóriuvaty

виправляти

vypravliáty

fā xiàn

lùn zhèng

tǎo lùn

gǎi zhèng

chāo xiě

kopiiuváty, perepýsuvaty

копіювати, переписувати

MANDARIM

UCRANIANO


7

FYQMJDBS QPSNFOPSJ[BEBNFOUF BTDBSBDUFSÓTUJDBT EFBMHVÏNPV EFBMHVNBDPJTB

GB[FSPEFTFOIP EFBMHVNBDPJTB

EJ[FSPOPNFEF BMHVNBDPJTB

SFBMÎBSPVGB[FS TPCSFTTBJSBMHP

JOEJDBS VNBBVNB BTQBSUFTEFVN DPOKVOUP

EBSQSFGFSÐODJBB BMHVÏNPVBBMHVNB DPJTBTFMFDDJPOBS

descrever

desenhar

designar(-se)

destacar

enumerar

escolher

DEFINIÇÃO

3$PS7FSEF"T-shirtEFRVFFVNBJTHPTUP ÏBRVFMBWFSEFDPNVNCPOFDPFTUBNQBEP

EscolheVNBDPSEFRVFHPTUFTFDPOTUSØJVNB GSBTFPOEFFMBBQBSFÎB

30TBOHVFÏDPNQPTUPQPSQMBTNB HMØCVMPT WFSNFMIPT HMØCVMPTCSBODPTFQMBRVFUBT

EnumeraPTFMFNFOUPTRVFDPNQÜFNPTBOHVF

3A.BSJBFo+PÍPGPSBNaoUFBUSP

DestacaPTBSUJHPTEBTFHVJOUFGSBTF ".BSJBFP+PÍPGPSBNBPUFBUSP

3"QBSUFEBGSFOUFEFVNOBWJPEFTJHOBTFQPS QSPB

$PNPTFdesignaBQBSUFEBGSFOUFEFVNOBWJP

3

DesenhaVNMPTBOHP

3)PKFFTUPVWFTUJEPDPNVNBT-shirtBNBSFMB VNBTDBMÎBTEFHBOHBB[VJTFVOTUÏOJTCSBODPT DPNVNBTMJTUBTQSFUBT

DescrevePNPEPDPNPFTUÈTWFTUJEPIPKF

EXEMPLO

TLPEKF

GBTFMJTUB

QPJOBEJTUBLJ SFBMTB NPTUSBESFUV

UYPNB GMBOØNJ

EJ[FOIB

GBTFEJTLSJTPO NPTUSB GMBTQMJLBNØEJLJÏ

CRIOULO CV

вибирати

vybyráty

перелічувати, перераховувати

perelíchuvaty, pererakhóvuvaty

виділяти

vydiliáty

визначати, називати(-ся)

vyznacháty, nazyváty(-sia)

малювати

maliuváty

xuǎn zé

liè jǔ

qiáng diào

mìng míng

huà

miáo shù

opýsuvaty

описувати

MANDARIM

UCRANIANO



PARTE

7


537

538

BQSFTFOUBSVN FYFNQMP VNDBTP UÓQJDPJMVTUSBS

EJ[FSBTSB[ÜFT PT NPUJWPTBQSFTFOUBS KVTUJGJDBÎÍP

SFQSFTFOUBSBUSBWÏT EFVNBGJHVSBBT JEFJBTHFSBJTEFVN EJTDVSTP EFVN QSPKFDUP FUD

FTUBCFMFDFSVNB SFMBÎÍPFOUSFEVBT PVNBJTDPJTBT

explicar

fazer um esquema / esquematizar

fazer corresponder

DEFINIÇÃO

exemplificar



está pronto!

leva-se ao forno

bate-se a massa

juntam-se os ingredientes

MJNÍP CBOBOB

3

MJNÍP CBOBOB

MJNPFJSP

CBOBOFJSB

MJNPFJSP

CBOBOFJSB

Faz corresponderPGSVUPËÈSWPSF

3

Faz um esquemaRVFEFNPOTUSFDPNPTFGB[ VNCPMP

30UBCBDPQSFKVEJDBBTBÞEFQPSRVFUFNNVJUBT TVCTUÉODJBTUØYJDBTRVFQPEFNQSPWPDBSEPFOÎBT

ExplicaQPSRVFÏRVFPUBCBDPQSFKVEJDBBTBÞEF

36NBEKFDUJWPUFNDPNPGVOÎÍPBUSJCVJSVNB RVBMJEBEFBVNOPNF/BGSBTFŭ0SBQB[NBV CBUFVOPDÍPŮ PBEKFDUJWPŭNBVŮFODPOUSBTFB RVBMJGJDBSPOPNFŭSBQB[Ů

2VBMÏBGVOÎÍPEPTBEKFDUJWPT Exemplifica

EXEMPLO

GBTFMJHBTPOEJLVTBTLJ UFOSFMBTPOLV LVOQBOIFSV MJHB LVOCJOB

GBTFVOTLÏNB SBQSF[FOUBVOJEFBOB GJHVSB

TQMJLB GMBQBNØEJ

J[FOQMJGJLB EBJ[FOQMV

CRIOULO CV

poiásniuvaty

встановлювати відповідність, поєднувати

vstanóvliuvaty vidpovídnist', poiédnuvaty

будувати схему, схематизувати

buduváty skhému, skhematyzuváty

пояснювати

shǐ xiāng duì yìng

yòng tú biǎo shì

jiě shì

jǔ lì shuō míng

navestý prýklad

навести приклад

MANDARIM

UCRANIANO


7

DSJBS QSPEV[JS

DPOTUSVJSBMHP FYQPSDPNDMBSF[B FYQSJNJS

SFDPOIFDFSBMHVÏN PVBMHVNBDPJTB BQBSUJSEF QSPQSJFEBEFT FDBSBDUFSÓTUJDBTRVF MIFTÍPFTQFDÓGJDBT

DPNQMFUBSPVEFDPSBS VNUFYUPDPN EFTFOIPT GPUPHSBGJBT HSÈGJDPT FUDEBSFYFNQMPT

formar

formular

identificar

ilustrar

DEFINIÇÃO

GVSNVMB LPOTUSVJGBTF VOQVSHVOUB VOJQØUJT

GPSNB GBTF

CRIOULO CV

Miguel Joana Patrícia

30WFSCPŭDPNFSŮÏVNWFSCPUSBOTJUJWPQPSRVF UFNVNDPNQMFNFOUP/BGSBTFŭ0+PÍPDPNFV PCPMPŮ ŭPCPMPŮÏPDPNQMFNFOUPEJSFDUP EPWFSCPŭDPNFSŮ

0WFSCPŭDPNFSŮÏVNWFSCPUSBOTJUJWP Ilustra BUVBSFTQPTUBDPNVNFYFNQMP

3

0.JHVFMUJOIBSFCVÎBEPT%FVË+PBOB Ë 1BUSÓDJBFGJDPVDPNIlustra FTUBEJWJTÍP DSJBOEP VNHSÈGJDP

3"TQBMBWSBTRVFTFFODPOUSBNOPQMVSBMTÍP QÍFTFQSBUPT

JMVTUSB EJ[FOIB QJOUB FOGFUB

IdentificaBTQBMBWSBTRVFTFFODPOUSBNOPQMVSBM JEFOUJGJLB SBLVOIFTJ NPTUSB NBDBDP QÍFT QSBUPTFDÍP

3%FTDVMQBUFSUFQJTBEP +PÍP'PJTFNRVFSFS

0+PÍPQJTBP3JDBSEPTFNRVFSFS FormulaVNQFEJEPEFEFTDVMQBT

3

FormaVNUSJÉOHVMPDVKPTMBEPTUFOIBN PNFTNPDPNQSJNFOUP

EXEMPLO

formuliuváty

ілюструвати

iliustruváty

ідентифікувати, ототожнювати

identyfikuváty, ototózhniuvaty

формулювати

yòng tú shuō míng

biàn bié

yǒu tiáo lǐ de tí chū

chuàng zào

utvóriuvaty, skladáty

утворювати, складати

MANDARIM

UCRANIANO



PARTE

7


539

540


EFNPOTUSBSPVQSPWBS $POTJEFSBTRVFÏJNQPSUBOUFQSBUJDBSFYFSDÓDJP BMHVNBDPJTB GÓTJDP JustificaBUVBSFTQPTUB

justificar

legendar

DSJBSJNBHJOBSVNB DPJTBPSJHJOBMPVOPWB

inventar

Azoto Oxigénio Outros gases

LegendaPTFHVJOUFHSÈGJDPEBDPOTUJUVJÎÍPEPBS

35PSSFEF#FMÏN

FTDSFWFSVNQFRVFOP LegendaBTFHVJOUFJNBHFN UFYUPDPNVNB FYQMJDBÎÍPQBSB BDPNQBOIBSVNB JMVTUSBÎÍP HSÈGJDP NBQB FUD EFNPEP BGBDJMJUBSBTVB DPNQSFFOTÍP

34JN0FYFSDÓDJPGÓTJDPGB[NVJUPCFNËTBÞEF 5SB[NVJUPTCFOFGÓDJPTBPTTJTUFNBTSFTQJSBUØSJP FDBSEJPWBTDVMBSGPSUBMFDFPTNÞTDVMPTÏCPN QBSBQFSEFSQFTPFOUSFNVJUBTPVUSBTDPJTBT

30UFTUFEF.BUFNÈUJDBOÍPGPJEJGÓDJM

InventaVNBGSBTFFNRVFVUJMJ[FTPBEKFDUJWP ŭEJGÓDJMŮ

3"PQÎÍPDPSSFDUBÏBB

C 0DVCPÏVNBGJHVSBHFPNÏUSJDB

B 0DVCPÏVNTØMJEPHFPNÏUSJDP

IndicaBPQÎÍPDPSSFDUB

EXEMPLO

EJ[FSPVNPTUSBSBMHP

DEFINIÇÃO

indicar


MJKFOEB GBTFMJKFOEB QPJ QBMBCSBEJCÈYVEJ EJ[FOIVTLSFCFOØNJ EJLBEBLVTB

EKVTUVGJLB EBEKVTUJGJLBTPO GMBQBNØEJ

JOWFOUB JNBKJOB

JOEJLB NPTUSB QPOUB

CRIOULO CV

підписати, супроводити текстом

pidpysáty, suprovódyty tékstom

доказувати, обгрунтовувати

dokázuvaty, obgruntóvuvaty

винаходити

vynakhódyty

shuō míng tú piàn

zhèng míng

fā míng

zhǐ shì

vkázuvaty

вказувати

MANDARIM

UCRANIANO


7

EJ[PRVFTJHOJGJDB BMHP

o que entendes por...

BUSJCVJSBDBEB FMFNFOUPPVPCKFDUP VNOÞNFSPQÙSQPS PSEFNOVNÏSJDB

numerar

PMIBSBUFOUBNFOUF

EJ[FSPOEFTF FODPOUSBBMHP JEFOUJGJDBSPMVHBS

localizar

observar

GB[FSVNBMJTUB

listar

DEFINIÇÃO

OVNFSB QPJOVOCSV

MPLBMJ[B GMBÏOBVOEJ

GBTFVOMJTUB

CRIOULO CV

36NBOJNBMJOWFSUFCSBEPÏVNBOJNBMRVFOÍP QPTTVJDPMVOBWFSUFCSBM

O que entendes porBOJNBMJOWFSUFCSBEP

3ŭVNCPMPŮEFTFNQFOIBBGVOÎÍPTJOUÈDUJDB EFDPNQMFNFOUPEJSFDUP

LVTÏLJUBTJOJGJLB NØEJ LJCVUBTQMJLB

ObservaBTFHVJOUFGSBTF0+PÍPDPNFVVNCPMP PCTFSWBP[FSCB EKPCF SBQBSB 2VFGVOÎÍPTJOUÈDUJDBEFTFNQFOIBŭVNCPMPŮ

0.JHVFMGPJQBSBBFTDPMB

0.JHVFMWFTUJVTF

0.JHVFMBDPSEPV

3

0.JHVFMGPJQBSBBFTDPMB

0.JHVFMBDPSEPV

0.JHVFMWFTUJVTF

Numera BTTFHVJOUFTGSBTFTEFNPEPRVFB PSEFNEFBDPOUFDJNFOUPTGJRVFDPSSFDUB

30BSUJHPEFGJOJEPNBTDVMJOPTJOHVMBSÏŭPŮ

LocalizaOBTFHVJOUFGSBTFPBSUJHPEFGJOJEP NBTDVMJOPTJOHVMBS""OBDPNFVPTCPMPTUPEPT FOFNTFMFNCSPVEFRVFP+PÍPRVFSJBDPNFSVN

3"TDPSFTEPBSDPÓSJTTÍPWFSNFMIP MBSBOKB BNBSFMP WFSEF B[VMDMBSP B[VMFTDVSPFWJPMFUB

ListaBTDPSFTEPBSDPÓSJT

EXEMPLO

що ти розумієш під ...

scho ty rozumíiesh pid ...

вивчати, спостерігати

vyvcháty, sposterigáty

нумерувати, позначати цифрами

numeruváty, poznacháty tsýframy

знаходити, визначати місце

znakhódyty, vyznacháty místse

de yì si shì

guān chá

gěi biān hào

zhǎo dào

liè chū

skladáty spýsok

складати список

MANDARIM

UCRANIANO



PARTE

7


541

542

BHSVQBSEFBDPSEP DPNEFUFSNJOBEB PSEFNQÙSFNPSEFN

PDVQBSBMHVNBDPJTB VNFTQBÎPPVUFNQP

GB[FSBMUFSBÎÜFT NPEJGJDBÎÜFT

KVOUBS SFVOJSEBEPT PVJOGPSNBÎÜFT SFMBUJWPTB EFUFSNJOBEBNBUÏSJB

FTDSFWFS

WPMUBSBFTDSFWFS

preencher

proceder a alterações

recolher informações

redigir

reescrever

DEFINIÇÃO

ordenar



3""OBDPNFBTPQB QSFTFOUF ""OBDPNFVBTPQB QSFUÏSJUPQFSGFJUP

&TDSFWFVNBGSBTFVTBOEPPQSFTFOUFEP JOEJDBUJWPReescreve FTTBGSBTFVTBOEP PQSFUÏSJUPQFSGFJUPEPJOEJDBUJWP

30+PÍPÏJOUFMJHFOUFNBTQSFHVJÎPTP

Redige VNBGSBTFFNRVFVUJMJ[FTEPJTBEKFDUJWPT

31BSBBCSJSVNBDPOUBCBODÈSJB QSFDJTPEFNF EJSJHJSBVNCBODP QSFFODIFSVNJNQSFTTPFMFWBS û PNFVCJMIFUFEFJEFOUJEBEFFPNFV DBSUÍPEFDPOUSJCVJOUF

RecolheBTJOGPSNBÎÜFTOFDFTTÈSJBTQBSBBCSJS VNBDPOUBOPCBODP

301FESPOÍPHPTUBOFNEFrockOFN EFhip-hop

ProcedeËTBMUFSBÎÜFTRVFBDIBSFTOFDFTTÈSJBT QBSBRVFBGSBTFGJRVFOBOFHBUJWB01FESPHPTUB EFrockFEFhip-hop

3"NÍFFTUÈBCSJODBSDPNPGJMIP

Preenche PTFTQBÎPTFNCSBODPDPNPTBSUJHPT BEFRVBEPT NÍFFTUÈBCSJODBSDPN GJMIP

3BNBSFMP DBTUBOIP SPYPFWFSEF

OrdenaBMGBCFUJDBNFOUFBTTFHVJOUFTDPSFTSPYP DBTUBOIP WFSEFFBNBSFMP

EXEMPLO

UPSOBTLSFCF

SFEJKJ TLSFCF

SBLPEKFJOGPSNBTPO BUYBEJTLVCSJ JOGPSNBTPO

GBTFBMUFSBTPO NPEJGJLB

QSJOYJ LPOQMFUB

PSEFOB QPJQBPSEJ

CRIOULO CV

переписувати, переробляти

perepýsuvaty, pereróbliaty

складати (письмово),записати

skladáty (pys'móvo), zapysáty

зібрати/збирати інформацію

zibráty/zbyráty informátsiiu

внести зміни

vnestý zmíny

заповнювати

zapóvniuvaty

chóng xiě

biān xiě

sōu jí zī liào

gǎi biàn

tián xiě

pái xù

rozstavliáty po poriádku, vporiadkóvuvaty

розставляти по порядку, впорядковувати

MANDARIM

UCRANIANO


7

FTDPMIFSBMHVNB DPJTB EFBDPSEPDPN EFUFSNJOBEBT DBSBDUFSÓTUJDBT

GB[FSVNBTFQBSBÎÍP EFTVOJSJTPMBSVNB DPJTBEFPVUSB

EJ[FSPTJHOJGJDBEPEF EJ[FSFNRVFDPOTJTUF

seleccionar

separar

significar

FTUBCFMFDFSVNB MJHBÎÍPFOUSFEVBT PVNBJTDPJTBT

relacionar

FODPOUSBSBTPMVÎÍP QBSBBMHPDBMDVMBS BTPMVÎÍPEFVNB FRVBÎÍP

NFODJPOBSBOPUBS BMHPQPSFTDSJUP

registar

resolver

EJ[FSNFODJPOBSBMHP

referir

DEFINIÇÃO

DBOFUB UFTPVSB CPSSBDIB

BQBHBS FTDSFWFS DPSUBS

3"FYQSFTTÍPŭBOEBSBQBTTPEFDBSBDPMŮTJHOJGJDB BOEBSNVJUPEFWBHBS

0RVFsignificaBFYQSFTTÍPŭBOEBSBQBTTP EFDBSBDPMŮ

3IJQPQØUBNP

Separa BTTÓMBCBTEBQBMBWSBIJQPQØUBNP

34VCTUBOUJWPNBTDVMJOPWFTUJEP

SeleccionaVNTVCTUBOUJWPNBTDVMJOP EBTFHVJOUFGSBTF""OBDPNQSPVVNBTDBMÎBT VNWFTUJEPFVNDIBQÏV

33 3 5

ResolveBTFHVJOUFFRVBÎÍP3

RelacionaPTPCKFDUPTDPNBTVBGVOÎÍP

30TBEKFDUJWPTRVFUÐNVNTFOUJEPQPTJUJWPTÍP TJNQÈUJDPFBMFHSF

"EKFDUJWPTNBV TJNQÈUJDP QBSWPFBMFHSF

"QSPGFTTPSBWBJEJ[FSRVBUSPBEKFDUJWPTRegista PTRVFNPTUSBNRVBMJEBEFTQPTJUJWBT

35FSSB .BSUFF+ÞQJUFS

ReferePOPNFEFUSÐTQMBOFUBT

EXEMPLO

TJOJGJLB

TVQÈSB SBQBSUJLVTBEJ LVOQBOIFSV

TJMFTJPOB TLPEKF

SF[PMWF SB[PMCF

SFMBDJPOB GBTFMJHBTPO EJVOLVTBLVPUV

SFKJTUB TLSFCF

SJGJSJ QBQJBEJ GMBEJ LPOUB NPTUSB

CRIOULO CV

означати, мати значення

oznacháty, máty znáchennia

відокремлювати, відділяти, розділяти

vidokrémliuvaty, viddiliáty, rozdiliáty

вибирати, відбирати

vybyráty, vidbyráty

вирішувати, розв’язувати

vyríshuvaty, rozv'iázuvaty

встановлювати зв’язок, поєднувати

vstanóvliuvaty zv'iazók, poiédnuvaty

реєструвати, записувати

reiestruváty, zapýsuvaty

biǎo shì yì si

fēn kāi

xuǎn zé

jiě jué

lián xì

dēng jì

jiǎng shù

govorýty pro ..., zgáduvaty, posylátysia na

говорити про ..., згадувати, посилатися на

MANDARIM

UCRANIANO



PARTE

7


543

544

DPQJBSVNUFYUP FTDSJUPPVQBSUFEFMF EFVNTÓUJPQBSB PVUSPQBTTBSVN UFYUPPSBM BUFYUPFTDSJUP

NPEJGJDBSUPSOBS EJGFSFOUF

DPOGFSJS DPOTUBUBS BMHPBUSBWÏTEB PCTFSWBÎÍPPV BOÈMJTFEFGBDUPT PVEBEPT

transcrever


transformar

verificar

3"GSBTFŭ#BUJËQPSUBUSÐ[WF[FTŮDPOUÏNVNFSSP PSUPHSÈGJDPŭ5SÐTŮFTDSFWFTFDPNŭTŮFOÍPDPN ŭ[Ů

VerificaTFBTFHVJOUFGSBTFDPOUÏNBMHVNFSSP #BUJËQPSUBUSÐ[WF[FT

30+PÍPOÍPHPTUBEFQFJYF

Transforma BTFHVJOUFGSBTFOVNBQFSHVOUB FEÈMIFBGPSNBOFHBUJWB 0+PÍPHPTUBEFQFJYF

30TOPNFTDPNVOTQSFTFOUFTOPUFYUPTÍPMÈQJT EFTFOIP QSPGFTTPSBFDPMFHBT

Transcreve EPUFYUPUPEPTPTOPNFTDPNVOTRVF FODPOUSBSFT""OBGF[VNCPOJUPEFTFOIPDPN VNMÈQJT "QSPGFTTPSBHPTUPVNVJUPFNPTUSPVPBPT DPMFHBT

3".BSJBÏCBJYB

Substitui BQBMBWSBTVCMJOIBEBQPSPVUSBEF TFOUJEPDPOUSÈSJP BOUØOJNP ".BSJBÏBMUB

QÙSVNBDPJTBOP MVHBSEFPVUSBUSPDBS

substituir

EXEMPLO

GB[FSVNBMJOIBQPS SublinhaPTBEKFDUJWPTEBTFHVJOUFGSBTF CBJYPEFVNBQBMBWSB 0NFOJOPNBVCBUFVOPQFRVFOPDÍP GSBTF FUDDPNP 30NFOJOPNBVCBUFVOPQFRVFOPDÍP PCKFDUJWPEFMIFTEBS SFMFWPBDFOUVBSCFN SFBMÎBS

DEFINIÇÃO

sublinhar


CFSJGJLB LVOGJSJ EKPCFESFUV

USBOTGPSNB NVEB

USBOTLSFCF LPQJB

TVCTUJUVJ USPLBVOLVTB QBPUV

TVCMJOIB SJTLB EJQBCÈYV

CRIOULO CV

перевіряти

pereviriáty

перетворювати

peretvóriuvaty

переписувати

perepýsuvaty

заміняти, заміщати

zaminiáty, zamischáty

jiǎn chá

gǎi biàn

chāo xiě

dài tì

zài xià huà xiàn

pidkrésliuvaty

підкреслювати

MANDARIM

UCRANIANO


7

PARTE

8 Registos do professor t t t t t t t t t t t t

'JDIBEFBVUPBWBMJBÎÍPEPBMVOP 'JDIBEFBVUPBWBMJBÎÍPQFSJØEJDB 'JDIBEFBVUPBWBMJBÎÍPEPQSPDFTTPEFBQSFOEJ[BHFN EPBMVOP 'JDIBEFBVUPBWBMJBÎÍPJOEJWJEVBMOPHSVQP (SFMIBEFUFTUFT $POTFMIPEFUVSNB 3FHJTUPEFBWBMJBÎÍPEFUSBCBMIPTEFHSVQP 3FHJTUPEFBWBMJBÎÍPEFUSBCBMIPTJOEJWJEVBJT 3FHJTUPEFBWBMJBÎÍPEFUSBCBMIPTEFDBTB )PSÈSJPEPQSPGFTTPS "WBMJBÎÍPGJOBM $BMFOEÈSJP

546 547 548 549 550 551 552 553 554 556 557 545

PARTE


8

'JDIBEFBVUPBWBMJBÎÍPEPBMVOP &4$0-": %*4$*1-*/":

1&3¶0%0 /0:

/0.&:

%0

"/0:

AVALIO AS MINHAS ATITUDES )ÈCJUPTEFUSBCBMIP

563.":

/VODB

%"5"

®TWF[FT

4FNQSF

&TUVEPUPEPTPTEJBT 'BÎPPTUSBCBMIPTEFDBTB .BOUFOIPPDBEFSOPPSHBOJ[BEP

0SHBOJ[BÎÍPFNÏUPEP

1FTRVJTPJOGPSNBÎÍP 6TPPDPNQVUBEPSQBSBGB[FSUSBCBMIPT 6TPB*OUFSOFUQBSBQFTRVJTBSJOGPSNBÎÍP

*OUFSFTTFFFNQFOIP $SJBUJWJEBEF $PPQFSBÎÍP 1BSUJDJQBÎÍP

*OUFSFTTPNFQFMPTUSBCBMIPTEBFTDPMB 5SBHPTFNQSFPNBUFSJBMOFDFTTÈSJP 4PVDSJBUJWP UFOIPJNBHJOBÎÍP $PMBCPSPDPNPTDPMFHBTFNBDUJWJEBEFT $PMBCPSPDPNPTQSPGFTTPSFTOBTBDUJWJEBEFT &YQPOIPBTNJOIBTJEFJBT 1BSUJDJQPOPTUSBCBMIPTEBFTDPMB 'BÎPPTUSBCBMIPTTFNBKVEB

"VUPOPNJB

3FTPMWPQSPCMFNBT &TDSFWPBTNJOIBTJEFJBT 6TPPRVFBQSFOEPOBFTDPMBFGPSBEBFTDPMB

$PNQPSUBNFOUP

$VNQSPBTSFHSBTEBFTDPMBFEBTPDJFEBEF

"TTJEVJEBEF

4PVBTTÓEVP OÍPGBMUP

1POUVBMJEBEF

4PVQPOUVBM

/ÓWFMRVFNFSFÎP B AVALIO OS MEUS CONHECIMENTOS

NS

ANS

S

$PNQSFFOEPPTBTTVOUPT $POTJHPBQMJDBSDPSSFDUBNFOUFPTDPOIFDJNFOUPT $POTJHPSFMBDJPOBSPTEBEPTFSFTPMWFSOPWPTQSPCMFNBT $POTJHPFYQMJDBSPTNFVTSBDJPDÓOJPT -FHFOEB/4/ÍPTBUJTGB["/4"JOEBOÍPTBUJTGB[44BUJTGB[4#4BUJTGB[CFN&&YDFMFOUF

0RVFQPTTPGB[FSQBSBNFMIPSBSPNFVEFTFNQFOIP

0RVFP B QSPGFTTPS B QPEFGB[FSQBSBNFBKVEBSBNFMIPSBSPNFVEFTFNQFOIP

546


SB

E

PARTE

5 4 3 2 1 8

'JDIBEFBVUPBWBMJBÎÍPQFSJØEJDB

ITENS DE AVALIAÇÃO

/ÍPTBUJTGB[

4BUJTGB[

4BUJTGB[CFN

&YDFMFOUF

*

*

*

*


"13&$*"±°0 APRECIAÇÃO 'JDIB 'JDIBTGPSNBUJWBT

5SBCBMIPTEJWFSTPT 51$ DPNQPTJÎÜFT USBCBMIPTEFHSVQPy

"TTJEVJEBEF1POUVBMJEBEF "UJUVEFT

1BSUJDJQBÎÍP&NQFOIP $PNQPSUBNFOUP

4FNQSFRVFPBMVOPUJWFSBWBMJBÎÍPRVBOUJUBUJWB EFWFFYQSFTTÈMBOFTUFDBNQP

"NJOIBQSPQPTUBEFBWBMJBÎÍPQBSBFTUFQFSÓPEPÏ

0CTFSWBÎÜFT


547

PARTE


8

'JDIBEFBVUPBWBMJBÎÍPEPQSPDFTTPEFBQSFOEJ[BHFNEPBMVOP /0

/0.& %"5"

1&3¶0%0

APRECIAÇÃO

/ÍPTBUJTGB[

"TEJGJDVMEBEFTRVFTJOUPOBTBVMBTEFDPSSFNEF yOÍPTBCFSPTDPOUFÞEPTDJFOUÓGJDPTBOUFSJPSFT yOÍPDPNQSFFOEFSBMJOHVBHFNEPQSPGFTTPS yOÍPBDPNQBOIBSPSJUNPEPQSPGFTTPS yUFSWFSHPOIBEFEJ[FSRVFOÍPQFSDFCP yIBWFSNVJUPCBSVMIPOBTBMBEFBVMB yFTUBSEJTUSBÓEP yFTUBSBDPOWFSTBSDPNPTDPMFHBT yFTUBSBGB[FSPVUSBTDPJTBT yPVUSPTNPUJWPT 2VBOEPFTUVEPFNDBTB TJOUPEJGJDVMEBEFTQPS yOÍPFOUFOEFSPTBQPOUBNFOUPTRVFUJSFJOBTBVMBT yOÍPDPNQSFFOEFSPNBOVBM yOÍPTBCFSDPODFJUPTEFBOPTBOUFSJPSFT yOÍPTBCFSSFBMJ[BSBTUBSFGBTQSPQPTUBT yEFTJTUJSGBDJMNFOUFRVBOEPOÍPFOUFOEP yOÍPGB[FSPTUSBCBMIPTEFDBTB

0CTFSWBÎÜFT

548

563."


4BUJTGB[

4BUJTGB[CFN

&YDFMFOUF

PARTE

5 4 3 2 1 8

'JDIBEFBVUPBWBMJBÎÍPJOEJWJEVBMOPHSVQP

53"#"-)0

APRECIAÇÃO

(3610

/ÍP TBUJGB[


/0

/0.&

563."

%"5"

4BUJTGB[

4BUJTGB[ CFN

&YDFMFOUF

0QJOJÍP EPHSVQP

*UFOTBBWBMJBS 3FBMJ[PBTUBSFGBTQSPQPTUBT 5SBHPPNBUFSJBMOFDFTTÈSJP 4PVQPOUVBM 0GFSFÎPNFQBSBUBSFGBTFYUSB 0JÎP DPNBUFOÎÍP RVBOEPTFNFEJSJHFN 3FBMJ[PPTUSBCBMIPTDPNDVJEBEPFSJHPS &TGPSÎPNFQBSBUSBCBMIBSDPNUPEPTPTDPMFHBT 1BSUJMIPPTNFVTDPOIFDJNFOUPTDPNPHSVQP 4JHPBTEJSFDUSJ[FTFTUBCFMFDJEBTOPHSVQP 5SBCBMIPDPNTBUJTGBÎÍPQBSBPHSVQP $POUSJCVPWPMVOUBSJBNFOUF DPNNBUFSJBJTFTVHFTUÜFT QBSBPHSVQP 1SPDVSPUSBCBMIBSTFNQFSUVSCBSPTPVUSPT 3FTQFJUPBPQJOJÍPEPTDPMFHBT "KVEPPTDPMFHBT 'JDPFNQFOIBEPOBSFTPMVÎÍPEFQSPCMFNBT 4ØQSPDVSPBBKVEBEPQSPGFTTPSRVBOEPOÍPDPOTJHP GB[FSTP[JOIP #BTFJPBNJOIBPQJOJÍPFNEBEPTPCKFDUJWPT &YQSFTTPDPODMVTÜFTDPSSFDUBT

"QSFDJBÎÍPHMPCBM

0CTFSWBÎÜFT


549

PARTE


8

(SFMIBEFUFTUFT &4$0-": "/0:

20 563.":

1&3¶0%0

N.º da questão Valor da questão /

/PNF

1 2 3 4 6 7 8 9 10 11 12 13 14 16 17 18 19 20 21 22 23 24 26 27 28 29 30

550


PARTE

5 4 3 2 1 8

$POTFMIPEFUVSNB

"/0:


"/0-&$5*70:

563.":

DISCIPLINAS 1.º período 2.º período 3.º período

1MBOPTEFSFDVQFSBÎÍP

$VNQSJNFOUP

$PNQPSUBNFOUP

$POUBDUPTDPNP T FODBSSFHBEP T EFFEVDBÎÍP


551

PARTE


8

3FHJTUPEFBWBMJBÎÍPEFUSBCBMIPTEFHSVQP 5¶56-0

CRITÉRIOS $PUBÎÍP /

552

/PNF


"/0

563."

1&3¶0%0

TOTAL

PARTE

5 4 3 2 1 8

3FHJTUPEFBWBMJBÎÍPEFUSBCBMIPTJOEJWJEVBJT "/0:

CRITÉRIOS DE AVALIAÇÃO

563.":


5¶56-0:

1&3¶0%0:

TOTAL

$PUBÎÍP /

/PNF


553

PARTE


8

3FHJTUPEFBWBMJBÎÍPEFUSBCBMIPTEFDBTB "/0

563."

1&3¶0%0

TPC

TOTAL

DATA "WBMJBÎÍP /

554

/PNF

4/

"WBM

4/

"WBM

4/


"WBM

4/

"WBM

4/

"WBM

4/

"WBM

PARTE

5 4 3 2 1 8

)PSÈSJPEPQSPGFTTPS


HORA

SEGUNDA-FEIRA

4BMB

TERÇA-FEIRA

4BMB

QUARTA-FEIRA

4BMB

QUINTA-FEIRA

4BMB

SEXTA-FEIRA

4BMB

"/0-&$5*70:


555

PARTE


8

"WBMJBÎÍPGJOBM

"/0:

563.":

556


25

24

23

22

21

20

19

18

17

15

16

14

13

12

11

10

9

8

7

6

5

4

3

2

1

ALUNOS

DISCIPLINAS

A. C. N. DISCIPLINARES

"/0-&$5*70:

PARTE

5 4 3 2 1 8

$BMFOEÈSJP


1.º PERÍODO 4FUFNCSP

0VUVCSP

/PWFNCSP

%F[FNCSP

1

1

1 FERIADO

1 FERIADO

2

2

2

2

3

3

3

3

4

4

4

4

'&3*"%0

6

6

6

6

7

7

7

7

8

8

8

8 FERIADO

9

9

9

9

10

10

10

10

11

11

11

11

12

12

12

12

13

13

13

13

14

14

14

14

16

16

16

16

17

17

17

17

18

18

18

18

19

19

19

19

20

20

20

20

21

21

21

21

22

22

22

22

23

23

23

23

24

24

24

24

'&3*"%0

26

26

26

26

27

27

27

27

28

28

28

28

29

29

29

29

30

30

30

30

31

31


557

PARTE


8

$BMFOEÈSJP 2.º PERÍODO

558

+BOFJSP

'FWFSFJSP

.BSÎP

"CSJM

1 FERIADO

1

1

1

2

2

2

2

3

3

3

3

4

4

4

4

6

6

6

6

7

7

7

7

8

8

8

8

9

9

9

9

10

10

10

10

11

11

11

11

12

12

12

12

13

13

13

13

14

14

14

14

16

16

16

16

17

17

17

17

18

18

18

18

19

19

19

19

20

20

20

20

21

21

21

21

22

22

22

22

23

23

23

23

24

24

24

24

'&3*"%0

26

26

26

26

27

27

27

27

28

28

28

28

29

29

29

29

30

30

30

31

31


PARTE

5 4 3 2 1 8

$BMFOEÈSJP


3.º PERÍODO "CSJM

.BJP

+VOIP

+VMIP

1

1 FERIADO

1

1

2

2

2

2

3

3

3

3

4

4

4

4

6

6

6

6

7

7

7

7

8

8

8

8

9

9

9

9

10

10

10 FERIADO

10

11

11

11

11

12

12

12

12

13

13

13

13

14

14

14

14

16

16

16

16

17

17

17

17

18

18

18

18

19

19

19

19

20

20

20

20

21

21

21

21

22

22

22

22

23

23

23

23

24

24

24

24

'&3*"%0

26

26

26

26

27

27

27

27

28

28

28

28

29

29

29

29

30

30

30

30

31

31


559

'0/5&4'050(3«'*$"4

$BTBEB*NBHFN 1

1SBJBFN-BHPT OP"MHBSWF

$PSCJT 1

3BQB[BDPSSFS

ano

5.

Componentes do projecto: Manual do aluno Caderno de actividades Manual Interactivo Multimédia Só para professores: Livro do professor EDUCATECA — Guia de recursos do professor Manual Interactivo Multimédia do professor

EDUCATECA

Matemática

Projeto Desafios5 - Santillana

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