Aprendizajes Matemáticas Grado 9°

 

Hdtcjlrçd lrjdeozdblrd Pcesdgocetl eugïrohl y vdrodholedi

Bcrchnl fäsohl bc dprcebozdkc BFD 4

BF BFD D6

BFD 8

BFD >

BFD ?

Siozd Siozd ils eûg eûgcrl crlss rcdic rcdicss (sus (sus lpcrdholecs, rcidholecs y prlpocbdbcs) pdrd rcslivcr prlficgds hle cxprcsolecs plioeøgohds. Prlp Prlple lec c y bcsd bcsdrr rrli liid id cxprcsolecs dijcfrdohds ce ci hlekuetl bc ils eûgcrls rcdics y uiozd ids prlpocbdbcs bc id ojudibdb y bc lrbce pdrd bctcrgoedr ci hlekuetl sliuhoøe bc rcidholecs cetrc tdics cxprcsolecs. Siozd Siozd ils eûg eûgcrl crlss rcdic rcdics, s, sus lpcrdholecs, rcidholecs y rcprcscetdholecs pdrd dediozdr prlhcsls oeeotls y rcslivcr prlficgds. Siozd Siozd cxp cxprcs rcsole olecs cs eugïro eugïrohds hds,, dijcfrdohds l jrähds pdrd ndhcr bcshropholecs bc sotudholecs hlehrctds y tlgdr bchosolecs hle fdsc ce su

Hletceobl tcgähl Pltcehodhoøe y rdbohdhoøe Vdholediozdhoøe Eûgcrls hlgpickls

Hlestruyc rcprcscetdholecs jclgïtrohds y eugïrohds bc i ls eûgcrls rcdics (hle bchogdics, rdçhcs, rdzlecs, y ltrls sçgflils) y rcdiozd hlevcrsolecs cetrc ciids.

Hlehcptl bc auehoøe

4) Obcehd y uiozd gûipics rcprcscetdholecs bc eûgcrls rcdics pdrd rcdiozdr trdesalrgdholecs y hlgpdrdholecs cetrc cxprcsolecs dijcfrdohds. 6) Cstdfichc hlekcturds di rcslivcr ued sotudhoøe prlficgd, dplydbl ce prlpocbdbcs y rcidholecs cetrc eûgcrls rcdics. 8) Bctcrgoed y bcshrofc rcidholecs di hlgpdrdr hdrdhtcrçshds bc jrähds y cxprcsolecs dijcfrdohds l aueholecs.

- Xuhcsolecs; rchursovds, drotgïhds y jclgïtrohds. - Xcrocs; Eltdhoøe sugdtlrod, Xcroc drotgïhd, scroc jclgïtrohd.

4) Cehucetrd ids rcidholecs y prlpocbdbcs quc bctcrgoede id alrgdhoøe bc schucehods eugïrohds. 6) Bctcrgoed y uiozd id cxprcsoøe jcecrdi bc ued suhcsoøe pdrd hdihuidr hudiquocr vdilr bc id gosgd y pdrd hlgpdrdrid hle ltrds suhcsolecs. 4) Lpcrd hle alrgds sogføiohds quc rcprcscetde hdebdbcs. 6) Vchlelhc quc ids ictrds pucbce pucbce rcprcscetdr eûgcrls y hdebdbcs, y quc sc pucbce lpcrdr hle ciids y slfrc ciids. 8) Oetcrprctd cxprcsolecs eugïrohds, dijcfrdohds l jrähds y tlgd bchosolecs hle fdsc ce su oetcrprctdhoøe.

Xostcgds bc chudholecs ioecdics; Auehoøe Ioecdi, Chudhoøe bc id rchtd, Xostcgds bc chudholecs ioecdics. Auehoøe hudbrähd; Auehoøe hudbrähd, chudhoøe hudbrähd,

oetcrprctdhoøe.

deäiosos bc ids rdçhcs bc ued chudhoøe hudbrähd. Auehoøe cxplecehodi y auehoøe iljdrçtgohd.

Siozd Siozd prlhcs prlhcsls ls oeb oebuh uhvls vls y icejudkc sogføiohl l dijcfrdohl pdrd alrguidr, prlplecr y rcslivcr hlekcturds ce id sliuhoøe bc prlficgds

Gïtlbls bc bcglstrdhoøe Vcsliuhoøe bc prlficgds bc aueholecs

eugïrohls, jclgïtrohls, gïtrohls, ce sotudholecs

Cvobcehods bc dprcebozdkc

4) Cachtûd cxpilrdholecs, lrjdeozd ils rcsuitdbls bc ids gosgds y prlplec pdtrlecs bc hlgplrtdgocetl. 6) Prlplec hlekcturds slfrc hlejurdholecs jclgïtrohds l eugïrohds y ids cxprcsd vcrfdi l sogføiohdgcetc. 8) Qdiobd ids hlekcturds y cxpiohd sus hlehiusolecs. 2) Oetcrprctd cxprcsolecs eugïrohds y tlgd bchosolecs hle fdsc ce su oetcrprctdhoøe.

 

BFD 2

Siozd Siozd tclrcg tclrcgds, ds, prlpoc prlpocbdb bdbcs cs y rcidholecs jclgïtrohds (tclrcgd bc Rdics y ci tclrcgd bc Potäjlrds) pdrd prlplecr y  kushdr cstrdtcjods bc gcbohoøe y häihuil bc ilejotubcs.

Rclrcgd bc Rdics Xcgckdezd bc troäejuils Rclrcgd bc Potäjlrds

BF BFD D1

Hl Hlek ekct ctur urd d dhcr dhcrhd hd b bc c id idss rcjuidrobdbcs bc ids alrgds fobogcesoledics y trobogcesoledics y rcdiozd oeacrcehods d pdrr bc ils hrotcrols bc scgckdezd, hlejrucehod y tclrcgds fäsohls. Oetcr Oetcrpr prct ctd d ci cs cspd pdho hol l bc gdecrd dediçhd d pdrr bc rcidholecs jclgïtrohds quc sc cstdfichce ce ids trdychtlrods y bcspidzdgocetls bc ils hucrpls ce boacrcetcs sotudholecs. Prlplec ue boscôl cstdbçshl dbchudbl pdrd rcslivcr ued prcjuetd quc oebdjd plr id hlgpdrdhoøe slfrc ids bostrofuholecs bc bls jrupls bc bdtls, pdrd il hudi usd

Vdzøe Prlplrhoøe Vdzøe cetrc bls scjgcetls Rclrcgd bc Rdics Xcgckdezd bc troäejuils Rclrcgd bc Potäjlrds

BF BFD D:

Pcesdgocetl dicdtlrol

Hucrpls rcblebls (hoioebrl, hlel y csacrd); Vcidholecs cetrc ärcd y vliugce.

BFD 3

Pcesdgocetl gïtrohl y cspdhodi

hlbodeds y el hlbodeds. Obce Obcehd hd y uioz uiozd d rcid rcidhol holecs ecs cetrc ci vliugce y id hdpdhobdb bc dijuels hucrpls rcblebls (hoioebrl, hlel y csacrd) hle rcacrcehod d ids sotudholecs cshlidrcs y cxtrdcshlidrcs.

BFD 40

Aueholecs bc bcspidzdgocetl Jrähds bc vcilhobdb

- Hdrdhtcrozdhoøe bc bls vdrodfics hudiotdvds; Rdfid bc hleejcehod y Rdfid gdrjoedi. - Hdrdhtcrozdhoøe bc vdrodfics hudetdvds; Bodjrdgd bc tdiil y nlkds, tdfid bc bostrofuhoøe bc

4) Csgd id hdpdhobdb bc lfkctls hle supcrhocs rcblebds. 6) Hlestruyc hucrpls rcblebls usdebl boacrcetcs cstrdtcjods. 8) Hlgpdrd y rcprcscetd ids rcidholecs quc cehucetrd bc gdecrd cxpcrogcetdi cetrc ci vliugce y id hdpdhobdb bc lfkctls hle supcrhocs rcblebds. 2) Cxpiohd id pcrecehod l el bc id sliuhoøe bc ue prlficgd bc häihuil bc ärcd l bc vliugce, bc dhucrbl hle ids hleboholecs bc id sotudhoøe. 4) Bcshrofc y kushd prlhcsls bc gcbohoøe bc ilejotubcs. 6) Cxpiohd prlpocbdbcs bc jurds jclgïtrohds quc sc oevliuhrde ce ils prlhcsls bc gcbohoøe. 8) Kushd prlhcbogocetls bc gcbohoøe d pdrr bci Rclrcgd bc Rndics, Rclrcgd bc Potäjlrds y rcidholecs oetrd c oetcrjurdics. 2) Qdiobd id prchosoøe bc oestrugcetls pdrd gcbor ilejotubcs. 3) Prlplec ditcredvds pdrd csgdr y gcbor hle prchosoøe boacrcetcs gdjeotubcs. 4) Vchlelhc rcjuidrobdbcs ce alrgds fobogcesoledics y trobogcesoledics. 6) Cxpiohd hrotcrols bc scgckdezd y hlejrucehod d pdrr bci tclrcgd bc Rndics. 8) Hlgpdrd jurds jclgïtrohds y hlekcturd slfrc plsofics rcjuidrobdbcs. 2) Vcbdhtd y drjugcetd prlhcsls iicvdbls d hdfl pdrd rcslivcr sotudholecs bc scgckdezd y hlejrucehod bc jurds. 4) Bcshrofc vcrfdigcetc prlhcsls bc trdychtlrods y bc bcspidzdgocetl. 6) Cxpiohd y rcprcscetd jrähdgcetc id vdrodhoøe bci glvogocetl bc boacrcetcs lfkctls.

4) Bcec ci gïtlbl pdrd rchlichtdr ils bd tls (cehucstds, lfscrvdhoøe l cxpcrogcetl sogpic) c obcehd id plfidhoøe y ci tdgdôl bc id gucstrd bci cstubol. 6) Hlestruyc bodjrdgds bc hdkd y d pdrr bc ils rcsuitdbls rcprcscetdbls ce ciils bcshrofc y hlgpdrd id bostrofuhoøe bc ue hlekuetl bc bdtls.

 

BFD 44

hlgprcesovdgcetc bodjrdgds bc hdkd, gcbobds bc tcebcehod hcetrdi, bc vdrodhoøe y bc ilhdiozdhoøe.

archucehods, jrähd bc puetls, nostljrdgds, lkovd.

Cehucetrd ci eûgcrl bc plsofics rcsuitdbls bc cxpcrogcetls dicdtlrols, hle rccgpidzl y soe rccgpidzl, usdebl tïheohds bc hletcl dbchudbds, y drjugcetd id scichhoøe rcdiozdbd ce ci hletcxtl bc id sotudhoøe dflrbdbd. Cehucetrd id prlfdfoiobdb bc cvcetls dicdtlrols hlgpucstls.

- Cxpcrogcetls dicdtlrols hle rccgpidzl y soe rccgpidzl. - Prlfdfoiobdb y hletcl. - Hlekuetls y prlfdfoiobdb. - Prlfdfoiobdb y tdfids bc hleejcehod. - Prlfdfoiobdb hleboholedi.

8) Hlgpdrd ids bostrofuholecs bc ils hlekuetls bc bdtls d pdrr bc ids gcbobds bc tcebcehod hcetrdi, ids bc vdrodhoøe y ids bc ilhdiozdhoøe. 2) Cidflrd hlehiusolecs pdrd rcsplebcr ci prlficgd pidetcdbl. 4) Boacrcehod cxpcrogcetls dicdtlrols rcdiozdbls hle rccgpidzl, bc cxpcrogcetls dicdtlrols rcdiozdbls soe rccgpidzl. 6) Cehucetrd ci eûgcrl bc plsofics rcsuitdbls bc ue cxpcrogcetl dicdtlrol, usdebl gïtlbls dbchudbls (bodjrdgds bc ärfli, hlgfoedholecs, pcrgutdholecs, rcjid bc id guipiohdhoøe, cth.). 8) Kushd id cichhoøe bc ue gïtlbl pdrhuidr bc dhucrbl di pl bc sotudhoøe. 2) Cehucetrd id prlfdfoiobdb bc cvcetls bdbls usdebl rdzøe cetrc archucehods.