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Page 1: Unitat de programació Mates. Jo. CI

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Z_N@_IGIFDÖ H—I\CILsfnci Znkt hl c—Irfihi ?:9?'96

GIXLGÊXDY\LV' Fdfcl Dkdfdic\KDXIX.Z_NBLFXL2

BN

DKX_NH\FFDÖ D B\VXDADFIFDÖ Ê_LLV Y\L DKXL_QLK Iqulsti ukdtit lstê lggirfihi hdks hlc prnblftl –LKV FNKLD]LG‗+C'mnrird hl gitlgêtdquls h'iqulst furs lstê hdstrdouît hl ci sl`ólkt giklri2HDGI_XV @rups aclxdocls plr trloiccir LVXDGIFDÖ igo tir`ls# _IZDHLVI HL FÊCF\C D Z_NOCLGLV @CNOICV+HDCC\KV Gitls hl fdfcl dkdfdic -9r d ?k bukts$

HDBN\V Kuglrifdö d prnoclgls -`rup plr kdvlcc 9r slpirit hl ?k$+ Iqulsti prn`rigifdö lqudvic i cls iftdvdtits qul ls hurik i tlrgl lcs hdccuks+

Gitlgêtdquls# fiticê# Xdf

Fngpltíkfdls oêsdquls Noblftdus hdhêftdfs -fngpltlkfdics$ Fnktdk`uts h—iprlklktit`lCls fngpltíkfdls fngukdfitdvls9+ Fngpltíkfdi fngukdfitdvi cdk`óçstdfi diuhdnvdsuic •Hlsfrdurl d lxprlssir nricglkt d lk r̀up cls qólstdnks

pciktlbihls plr tic hl fngpirtdr igo lcs fngpikys lcsiprlklktit`ls+•Lxprlssir igo fcirlhit lc prnpd plksiglkt plr suplrir pnrs dvlr`nkyls+

?+ Fngpltíkfdls irtçstdfi d fucturic • _lprlslktir igo hdoudxns d ̀ rêadfs cls tisquls gitlgêtdqulsplr fnksncdhir c'iprlklktit`l

Cls fngpltíkfdls gltnhncÿ`dquls6+ Xriftiglkt hl ci dkanrgifdö d fngpltíkfdihd`dtic

• Xrloiccir ic`uks isplftls igo lc supnrt dkanrgêtdf plr rlanràir d ibuhir i issncdr flrts isplftls gitlgêtdfs+

8+ Fngpltíkfdi gitlgêtdfi •Kuglrifdö d fêcfuc _lfnrhir lcs kòglrns hl ci prdglri flktlki igo gitlrdicvirdit plr issl`urir lc slu iprlklktit`l+ Fngpirir d nrhlkir kngorls igo gitlrdic virdit plr dktl`rir lcs fnktdk`uts+ Fngptir d rlprlslktir kngorls igo gitlrdic plr fnksncdhir c'iprlklktit`l hl ci 9i flktlki+ Dktlrprltir hihls kugírdquls lk sdtuifdnks rlics plr pnhlrclsipcdfir lk lc autur+•_lcifdnks d fikvd

Lstiocdr rlcifdnks lktrl noblftls d dgit`ls plr pnhlr hdalrlkfdir lktrl i`rupir d fcissdadfir+ Frlir arisls gitlgêtdquls igo sd`kdadfit prnpd qul fnktdk`udklc sd`kl 7 gäs `rik d gäs pltdt plr pnhlrmn ipcdfir lksdtuifdnks auturls+•Lspids d anrgls+ _lfnkídxlr lcs gnvdglkts2 VDGLX_DLV d @D_V gdt bikàikt lctrloicc igo gdriccs plr lktlkhrl lcs gnvdglkts hlcs noblftls lklc pci+ Frlir sdgltrdls slkzdccls igo piplr d i c'nrhdkihnr plr ipcdfir lc fnkflptl trloiccit+•GlsuriGIVVI2 Xlkdr uki plrflpfdö hlc pls h—ic`uks noblftls d alr fngpirifdnks gdtbikàikt lc fnp h'ucc d hdalrlkts lstrds plr ipcdfirmn i sdtuifdnks rlics fng ci h'ikir i fngprir+

•Kuglrifdö d fêcfuc  Òs hlcs cclk`uit`ls vlroic# `rêadf d sdgoÿcdf plr rlprlslktir lcs kngorls hl ci prdglri flktlki+ Fngprlksdö d òs hlc fngptit`l+ _lfnkldxlglkt hlcs kngorls lk sdtuifdnks quntdhdikls+ Òs hl hdalrlkts gnhlcs plr fngpirir d nrhlkir lcskngorls+ Dktlrprltifdö hlcs kngorls fng i dhlktdadfihnrs lksdtuifdnks prnplrls+•_lcifdnks d fikvd

Hlsfrdpfdö hl fikvds quicdtitdus d quiktdtitdus lktrl hulssdtuifdnks+ Lktlkhrl arisls gitlgêtdquls igo sd`kdadfit prnpd qulfnktdk`udk lc sd`kl 7 gäs `rik d gäs pltdt+•Lspids d anrgls Lxpcnrifdö hl gnvdglkt gdtbikàikt gdriccs+ _lfnkldxlglkt hlcs gnvdglkts2 lc s `drs+•Glsuri  _lfnkldxlglkt# lk fnktlxtns sd`kdadfitdus hl cls gi`kdtuhshl gissi+ Clfturi d lsfrdpturi hl plsns lk fnktlxtns rlics+ Hlsfrdpfdö nric hlc prnfäs hl plsir+ Hlslkvncupiglkt hl rlalrlkts fnguks qul aifdcdtdk ci

fngpirifdö# lc pls d c—lstdgifdö+ Fngpirifdö hdrlfti d dkhdrlfti hl plsns+ _lfnkldxlglkt hlcs glsns hl c—iky+ _lfnkldxlglkt hlcs fikvds prnhuîts lk lc pis hlc tlgps+•Lstihçstdfi d itzir  Nr`ikdtzifdö d rlprlslktifdö hl hihls notdk`uhls i pirtdr h—lxplrdíkfdls hl fngptit`l d h—nrhlkifdö# gdtbikàikt lc slupls+

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Fngpirir lc pls hl hdvlrsls plrsnkls prlklkt lc qudcn fng irlalríkfdi plr lktlkhrl ci ukdtit hl rlalríkfdi+ Ccl`dr lc ficlkhird plr pnhlr ikntir# lkflrfcir d girfir lcs hdlshlc slu ikdvlrsird# \sir lc ficlkhird d iprlkhrl lcs glsns igo ci adkicdtit hlpnhlrmn ipcdfir lk prnoclgls hl tlgps+ _lfnkídxlr lcs fikvds prnhuîts lk lc pis hlc tlgps plr tich'ihnkirsl qul lc tlgps pissi+•Lstihçstdfi d itzir 

Fngpirir quiktdtitdviglkt hihls kugírdquls lk uki ̀ rêadfihl oirrls plr vlurl ci utdcdtit d ci pnssdocl ipcdfifdö lk ictrlstisquls auturls+

<+ Fngpltíkfdi h'iprlkhrl i iprlkhrl

•Frlir lstrití`dls plr rlsnchrl sdtuifdnks d siolrcls lxpcdfir plr i ̀ lklricdtzirmn d pnhlrmn ipcdfir i ictrls sdtuifdnks+• Ibuhir lcs fngpikys triksgltlk lcs fnkldxlglkts hl giklrinric plr pntlkfdir lc fngpikylrdsgl d lc trloicc fnnplritdu lktrld`uics+

Cls fngpltíkfdls plrsnkics2

1+Fngpltíkfdi h'iutnkngdi d dkdfditdviplrsnkic

•_lsnchrl cls iftdvdtits prnpnsihls hl anrgi fihi vl`ihi gäsiutÿkngi plr prlpirircns plc trloicc dkhdvdhuic+

Fngpltíkfdls lsplfçadqulsflktrihls lk fnkvdurl d miodtir lcgök2

0+ Fngpltíkfdi lk lc fnkldxlglkt d cidktlriffdö igo lc gök açsdf+

•Fnkídxlrkns gdccnr i knsictrls gitldxns d ics fngpikys plr iaivnrdr ci onki rlcifdö d c'igdstit+•Xlkdr uki gdrihi nolrti plr pnhlr rlcifdnkir cls gitlgêtdqulsigo tnt lc qul lks lkvncti plr tic hl alr uk iprlklktit`lipcdfiocl i ci vdhi+

=+ Fngpltíkfdi snfdic d fdutihiki •_lsplftir lcs fngpikys d cls slvls firiftlrçstdquls açsdqulsplr slr uk onk fdutihê d uki onki plrsnki+

Vlqóíkfdi h—iftdvdtitsVLVVDÖ F_DXL_DV HIQIC\IFDÖ GIXL_DIC

Vlssdö 9Vlssdö ?

Xrloicclg ci HIXI HL KID]LGLKX2 miurik h'ikntir lc kngorl d lc gls lk uk piplr+ Miurikh'lkhrlàirsl hl gäs `rik i gäs pltdt+ Iri s'ipirlccirik lc gäs `rik igo lc gäs pltdt d idxç adksqul fndkfdhldxdk+ Airik cls iftdvdtits lk pirlccls+Hnkirä lc ficlkhird h'iqulst iky d miurik hl ousfir lk qudk hdi hl ci sltgiki fiu lc sluikdvlrsird+ Mn ikntlk lk lc piplr+Fngptirik quikts hdls aictlk adks lc slu ikdvlrsird+ Ikntlk lk lc piplr+Airik adtxi+Hldxirlg uk tlgps plrquí vi`dk ifioikt d airlg uki pirt nric igo prl`uktls29+ Ikntirlg lc kng hlc klk d lc gls qul mi kisfut i ci pdssirri+?+ Lkhrlàirlg hl gäs pltdt i gäs `rik +6+ Gdrirlg sd fndkfdhldxlk lk lc gitldx gls+

8+ Airlg uki `rêadfi d fngprnvirlg qul ls vlulk gnct gdccnr cls hihls+

Zirtdfdpir iftdviglkt lk lc trloicclk pirlcci+ Ihnkirsl hl c'nrhrl hlcs glsns+ Violr fngptir quikts hdls aictlkplc slu ikdvlrsird+ _licdtzir antns igo ci fêglrihd`dtic+

Ziplr lk ocikfFiclkhirdAdtxi

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<+ Lk qudk hdi hl ci sltgiki fiurê lc vnstrl ikdvlrsird> Vlrê alsti>1+ Yud cd aicti glkys plc slu ikdvlrsird# quikts hdls> D gäs>Zlr adkicdtzir airlg uk guric igo ci antn hl c'icugkl d ci hiti hl kidxlglkt d qulhirê i fcissl plr rlfnrhirmn+Xrloicclg glsns hl c'iky+Lccs i`iairik ci fêglri d airik antns hl ci firi# hl fns slkflr# plr hivikt# plr hirrlri# hl fnstit#plr snorl+++ hl ci slvi pirlcci+

Vlssdö 6Vlssdö 8Vlssdö <

_IFNKV29+ Lkhrlàir antns plr c 'lhit hl cls plrsnkls+

Lcs hnkirlg gnctls antns hl `lkt hdalrlkts# h'lhits hdalrlkts# riài# slxl+++d miurik h'nrhlkir+V'lxpcdfirê ci hdalríkfdi fciri lktrl nrhlkir d i`rupir -iftdvdtit qul bi vik alr i glhd$+ Lcs frdtlrds icprdkfdpd snk ccdurls# plrÿ mn mik h'ir`uglktir+Adkicglkt sd kn surt hl giklri kituric# sl'cs `udirê+ Miurik h'nrhlkir d hlsfrdurl lcs fikvds+ Ir`uglktir ci slvi lclffdö+?+ Xrloicc hl ci sdgltrdi+ Gdriccs+X_LOICC N_HDKIHN_mttp2..www+`lkgi`df+klt.miodcdhihls.hdo8f9^sdgltrdfn+swa mttp2..www+lhu61<+fit.prdgirdi.guhs.gitlgitdquls.sdgltrdi.dkhlx+mtgmttp2..pmnons+xtlf+fit.h`rilcc.git.git6.VDGLX_DLV.sdgltrdls+mtgcLc fns2 adtxi+ Vng sdgítrdfs>6+ Xrloicc hl c'ngori hl cls plrsnkls+Zriftdfi i c'nrhdkihnr2  mttp2..www+gdkdbul`nstnp+fng+gx.dtlgs.pirikdkns.:.98?=?^sngoriswdkkdlpnnm.Igo cls slvls antns# ls airê uk guktit`l hl antn d ngorl d miurik h'ipirlccir+

Hlsfrdurl fikvds d nrhlkir uklsantns sl`nk uks frdtlrds hnkits2 lcpis hlc tlgps+ Ir`uglktir i`rupifdnks+ Lktlkhrl lc fnkflptl hl sdgltrdi+ Ipirlccir plrsnkls igo ci slvingori# @D_V+

Antns hlhdalrlkts lhits#gdriccs#nrhdkihnrs#adtxi

Vlssdö 1Vlssdö 0

LC ZLVZirclg hl qul quik kidxlg sng pltdts d plslg pnf+ Zirclg hlcs fikvds qul ls prnhuldxlk huriktlc knstrl frldxlglkt+ Mn ikntlg i ci pdssirri+Lks flktrlg lk lc pls+ Fng pnhlg plsirkns> Yudk lstrd klflssdtlg> Ls plsi tnt d`uic> Lcglkbir h'uki ontd`i> \k lclaikt>Fng ls hdu ci ukdtit hl pls> Vd plslg uki pngi> D knsictrls> D uk figdö>+Znrtlg hdalrlkts noblftls plr plsir d mn hlfdhdrik -vdvlkfdic$Lcs hnkirlg ukls antns rlticcihls hl hdalrlkts noblftls d airlg uk guric sl`nks sd mn plsirdlk lk`# e` n X+ -gikdpucitdu$Adtxi+ -rlprlslktitdu$

Violr dkstruglkt plr glsurir lcpls+ Dhlktdadfir ci ukdtit hl pls igoc'noblftl+

Oêsfuclshdalrlkts2 hlontd`i# hlplrsnkls+++Gitlrdic hdvlrs+Antnsh'noblftls

Vlssdö =

LKV ZLVLG+ Igo ci oicikài lks plsirlg d ikntirlg lk uk guric lc pls hl fihi icugkl lk uk quihrl r̀ik+Hlspräs airlg uki `rêadfi i ci pdssirri+ Ioiks pircirlg hl sd mik vdst gid uki `rêadfi# nk cipnhlg trnoir# plr i quí slrvldx+++Miurlg hl hlfdhdr lktrl tnts fng frlulk qul s'mik hl pnsir cls hihls+ Zrdglr lk pirlccls sl'cs

hnkirê uk piplr ocikf d miurik hl prnvir+ Hlspräs lcs hnkirlg uk piplr igo ldxns alts+Adkicglkt mn pnsirlg lk fngò+Airlg uki `rêadfi hl firtncdki+

_lprlslktir uki `rêadfi hloirrls+ Oicikài#

Vlssdö 4

Xrloiccirlg kuglrifdö igo cls plsns hl ci slssdö iktlrdnr+Yudk kngorl äs lc gäs `rik> Fng ls hdu> D lc gäs pltdt> Iklg i lsfrdurl kngorls -hdftn ic`ukshlcs qul mik snrtdt$+ Yudk kngorl vi ioiks# d hlspräs>Airlg arisls alkt slrvdr cclk`uit`l gitlgêtdf2 –++++ls gibnr+++# +++äs glknr+++#+++ äs d`uic+++‗Lkhrlàirlg kngorls+Yuikts e` lks pnrtlg> Alg pirlccls d mik hl ficfucirmn+

Fngpirir d nrhlkir kngorlsrlcifdnkit igo lc slu pls \sir lc cclk`uit l̀ gitlgêtdffnrrlftiglkt+ Fngprlkhrl d usir lc fngptit`lsdtuifdnks quntdhdikls+

Vlssdö 9:

 Iutnivicuifdö+ Yuí mlg ipräs>Mn alg nric d mn lsfrdurlg i c'nrhdkihnr+ Mn dgprdgdrlg lk `rik d mn ikdrlg plkbikt i fcissl+Airlg uki `rilcci igo fihi fnkflptl qul lccs hd`udk qul mik ipräs d s'miurik h'ivicuir igo

`nglts sl`nks lc ̀ riu h'issncdglkt+

Vlr rlic dsti d sdkflr lkc'issncdglkt hlcs fnktdk`uts+

@rilcci+

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Frdtlrds d piutls plr i c—ivicuifdöNrdlktifdnks plr ichlslkvncupiglkt+Frdtlrds h—itlkfdö i ci hdvlrsdtit

Noslrvifdnks

•Kuglrifdö d fêcfuc Violr fngptir quikts hdls aictlk plc slu ikdvlrsird+ \sir kngorls -9r airlg slrvdr 9g +++ fg5 ?k airlg c'lqudvicíkfdi 9g +++fg 7 9^^ fg$+ Fngpirir d nrhlkir kngorls rlcifdnkit igo ci slvi glsuri+ Fngprlkhrl d usir lc fngptit`l sdtuifdnks quntdhdikls+•_lcifdnks d fikvd Hlsfrdurl fikvds quicdtitdus d quiktdtitdus h'ukls antn`riadls hl plrsnkls sl`nks h'lhit+ Nrhlkir ukls antn`riadls sl`nks lc fikvd qul ls prnhuldx igo lc pis hlc tlgps+ \sir lc cclk`uit`l gitlgêtdf fnrrlftiglkt+•Lspids d anrgls+ Lktlkhrl lc fnkflptl hl sdgltrdi+ Ipirlccir plrsnkls igo ci slvi ngori# @D_V+•Glsuri Violr dkstruglkt plr glsurir lc pls+ Dhlktdadfir ci ukdtit hl pls igo c'noblftl+ Nr`ikdtzir dgit`ls sl`nks ci ukdtit hl pls+ Clfturi d lsfrdpturi hl plsns lk fnktlxtns rlics+ Hlslkvncupiglkt hl rlalrlkts fnguks qul aifdcdtdk ci fngpirifdö# lc pls d c—lstdgifdö+

Fngpirifdö hdrlfti d dkhdrlfti hl plsns+ _lfnkldxlglkt hlcs glsns hl c—iky+ _lfnkldxlglkt hlcs fikvds prnhuîts lk lc pis hlc tlgps+•Lstihçstdfi d itzir  Fnkalffdnkir fnc°clftdviglkt uki ̀ rêadfi igo cls hihls rlfnccdhls+•ICX_LV Zirtdfdpir igo ci pirlcci \sir ci fêglri fnrrlftiglkt+ Ir`uglktir d.n hlalksir cls slvls hlfdsdnks lk cls iftdvdtits nrics+ Zirtdfdpir iftdviglkt lk cls iftdvdtits h'nrhdkihnr+ Vlr rlicdsti d sdkflr lk c'issncdglkt hlcs fnktdk`uts+

•Fihi icugkl tä ukls klflssdtits d uklsfipifdtits hdalrlkts+ V—mi hl tlkdr lk fngptlqul lc trloicc fnnplritdu d lk `rup ibuhi ichlslkvncupiglkt plrsnkic+ Xigoä pntlkfdirlgc—iutnkngdi plrsnkic plr slr fipiàns hl

sncvlktir huotls+ •Vupnrt dkhdvdhuic•Òs plrsnkicdtzit hl cls ldkls XDF i c—iuci+•Znssdodcdtit hl pissir i uk kdvlcc dkalrdnr sd idxçmn trnolg klflssird+• Ihiptifdö hl tisquls ics icugkls igo gäsfipifdtits+•Xrloicc lk pirlccls# tlkdkt lk fngptl lc trloiccfnnplritdu+

•Cls prn`rigifdnks hl clsslssdnks hlprnoclgls.kuglrifdö d @_\ZACL]DOCL# lstik i pirt+•Md mi uks quihlrklts hlrlanrà iknglkits –Vlt d gd`‗qul ls airik slrvdr quik lcsicugkls mi`dk ifioit cls

slvls tisquls+


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