7/23/2019 Sesin de Aprendizaje: Poligonos

1/21

Sdsng ld KqydglnzkodJfs qfj`fgfs dg jks sdkjds ld |ygsn|f

N' LK\FS NGHFYMK\NXFS;';' NGS\N\TCNG DLTCK\NXK? N' D' Q';'9' \YNMDS\YD? NNN;'3' YDK? Mk|dm|nck;'' LFCDG\D YDSQFGSKIJD? Kg|fgnf Mkghydln Hdyggldz Hn`tdyfk

NN'

JF@YFS LD KQDGLN_KOD

CKQKCNLKLDS CFGFCNMNDG\FS XKJFYDS KC\N\TLDS\DMK

\YKGSXDYSKJ

CFMTGNCKCNGMK\DMK\NCK

YK_FGKMNDG\F LDMFS\YKCNG

YDSFJTCNG LDQYFIJDMKS

@DFMD\YK QJKGK

Qfj`fgfs?

Ldhngncng' Djdmdg|fs' Cjksnhnckcng' g`tjfs ng|dygfs~ du|dygfs' Gmdyf ld

lnk`fgkjds'

Sdkjds ld\ygsn|f

Xdy|nckjds?

Nghfymk|nxfs*

yd`tjklfyks ~

qydxdg|nxks'

Qdysdxdykgcnk

Ydsqfgskinjnlkl

Mtds|yk qdysdxdykgcnkkj ydsfjxdy qyfijdmks ~cfmtgncky ydstj|klfsmk|dm|ncfs'

Ctmqjd cfg jks |kydksfqfy|tgkmdg|d'

Qky|ncnqk dg hfymkqdymkgdg|d ~kt|gfmk'

\ykd ~ t|njnzk djmk|dynkj gdcdskynf qkykdj ydk'

Qydsdg|k st ctkldygfdg fyldg ~ kj lk'

Dltckcngdgsd`tynlklxnkj'

7/23/2019 Sesin de Aprendizaje: Poligonos

2/21

NNN' DS\YK\D@NKS MD\FLFJF@NCKS

MFMDG\FSKC\NXNLKLDS

%Md|flfjf`k Kc|nxk.MM' MM' DD' \NDMQF

NGNCNF

Jtd`f ldj skjtlf cfyydsqfglndg|d dg cjksd* dj lfcdg|ddg|yd`k tgk efok* k cklk kjtmgk* cfg tgk sdkj ld |ykgsn|f*qkyk {td cklk tgk djkifyd st \kg`ykmk ld Sdkjds ld\ygsn|f%KGDUF G ;.

Jks kjtmgks cfgs|yt~dg st \kg`ykmk ld Sdkjds ld\ykgsn|f* jtd`f fyldgkg* nldg|nhnckg ~ sdkjkg jf {td nglnck

dg cklk sdkj ld |ykgsn|f'

Dj lfcdg|d otg|f cfg jks kjtmgks nldg|nhnckg {td jks sdkjdsld |ygsn|f |ndgdg hfymk ld hn`tyks `dfm|yncks?

Qfj`fgfs'

Ydctysf

xdyikj

Khnceds

Qnzkyyk

Qjtmfgds

>1

KL[TNSNCNG

\DYNCFQYC\NCF

Dj lfcdg|d dg|yd`k dj Mfltjf Ld \ykikof? Qfj`fgfs%KGDUF G 9.* ~ cfg jk qky|ncnqkcng ld jks kjtmgks?

Ldhngdg qfj`fgf' Nldg|nhnckg jfs djdmdg|fs ld tg qfj`fgf' Nldg|nhnckg jk cjksnhnckcng ld jfs qfj`fgfs' Kqjnckg qyfqndlklds ld qfj`fgfs k dodycncnfs

qyfqtds|fs2 t|njnzkglf dj mk|dynkj yd{tdynlf qfy dj ydk

%Yd`jks* |ykgsqfy|klfy* mfltjf* d|c'.

Dj lfcdg|d qyfqfgd dodmqjfs ~ fyndg|k st ldskyyfjjf2kldms jks kjtmgks qky|ncnqkg dg dj ldskyyfjjf ld jk cjksdhfymtjkglf qyd`tg|ks ~ ydkjnzkglf kj`tgks fisdyxkcnfgdsmfs|ykglf qdysdxdykgcnk kj ydsfjxdy qyfijdmks ~cfmtgncky ydstj|klfs mk|dm|ncfs'

Ydctysf

xdyikj

Qnzkyyk

Qjtmfgds

Mk|dynkj

Nmqydsf

Yd`jk

994

KQJNCKCNG F

\YKGSHDYDGCNK

Dj lfcdg|d nglnck ydtgnysd dg `ytqfs ld < kjtmgks qkykldskyyfjjky jfs dodycncnfs qyfqtds|fs %KGDUF G 3. dg stctkldygf* ks cfmf dg jk qnzkyyk' Cfmqky|dg ~ cfmqkykg jfsydstj|klfs ld sts dodycncnfs cfg sts cfmqkdyks ikof jkstqdyxnsng ldj lfcdg|d'

Dj lfcdg|d dg|yd`k mk|dynkj nghfymk|nxf kcdyck ld jksSdkjds ld \ygsn|f Xdy|nckjds? Nghfymk|nxfs* yd`tjklfyks ~qydxdg|nxks %Kgduf G

7/23/2019 Sesin de Aprendizaje: Poligonos

3/21

NX' DXKJTKCNG LDJ KQYDGLN_KODK' DXKJTKCNG LDJ KQYDGLN_KODCKQKCNLKL NGLNCKLFYDS LD DXKJTKCNFG \CGNCKS

NGS\YTMDG\F LD

DXKJTKCNG

CFMTGNCKCNGMK\DMK\NCK

Nldg|nhnck dj sn`gnhncklf ld jk qkjkiykqfj`fgf'

Ldhngd qfj`fgfs k qky|ny ld sts ckykc|dys|ncks' Nldg|nhnck jfs djdmdg|fs ldj qfj`fgf* k qky|ny

ld tgk hn`tyk %Qfj`fgf.' Nglnck jfs jklfs* dj gmdyf ld jklfs ~ jfs

xy|ncds ld tg qfj`fgf' Cjksnhnck jfs qfj`fgfs sd`g st gmdyf ld

jklfs'

Qytdikdscyn|k

Qyc|nck Ckjnhncklk%Kgduf G

7/23/2019 Sesin de Aprendizaje: Poligonos

4/21

CKQKCNLKL NGLNCKLFYDS LD DXKJTKCNFG $ G ld ydkc|nxfs Qtg|kod

YK_FGKMNDG\F^LDMFS\YKCNG

Kgkjnzk d nldg|nhnck sn tgqfj`fgf ds cfgxduf f cgckxf*tskglf jfs cyn|dynfs ld

ydcfgfcnmndg|f'

31 ; 8

Ekjjk dj gmdyf ld lnk`fgkjdsld tg qfj`fgf' 34 ; 0

Ekjjk jk stmk ld g`tjfsng|dygfs ld tg qfj`fgf'

34 ; 0

\F\KJ ;11 3 91

CKQKCNLKL NGLNCKLFYDS LD DXKJTKCNFG $ G ld ydkc|nxfs Qtg|kod

YDSFJTCNNG LDQYFIJDMKS

Ydstdjxd qyfijdmks sfiydqfj`fgfs kqjnckglfqyfqndlklds?

Stmk ld g`tjfsng|dygfs ld qfj`fgf'

9 9 ;3

Stmk ld g`tjfsdu|dygfs ld tg

qfj`fgf'

; ; 0

\F\KJ ;11 < 91

7/23/2019 Sesin de Aprendizaje: Poligonos

5/21

I' DXKJTKCNFG LD JK KC\N\TL KG\D DJ KYDKCYN\DYNFS

KC\N\TLNGKJDSNGLNCKLFYDS LD KC\N\TLDS \DCGNCKS

NGS\YTMDG\FSLD DXKJTKCNFG

Qdysdxdykgcnk

Mtds|yk qdysdxdykgcnk kjydsfjxdy qyfijdmks ~ cfmtgnckyydstj|klfs mk|dm|ncfs'

Fisdyxkcngsns|dm|nck

@tk ldfisdyxkcng%Kgduf G 8.

Ydsqfgskinjnlkl

Ctmqjd cfg jks |kydksfqfy|tgkmdg|d'

Qky|ncnqk dg hfymk qdymkgdg|d~ kt|gfmk'

\ykd ~ t|njnzk dj mk|dynkjgdcdskynf qkyk dj ydk'

Qydsdg|k st ctkldygf dg fyldg ~kj lk'

\KIJKS LD DSQDCNHNCKCNFGDS LD KC\N\TLDS

CKQKCNLKL NGLNCKLFYDS LD DXKJTKCNFG $G ld

ydkc|nxfsQtg|kod

Qdysdxdykgcnk Mtds|yk qdysdxdykgcnk kj

ydsfjxdy qyfijdmks ~ cfmtgncky

ydstj|klfs mk|dm|ncfs'

91 ; ? DltckcngSdctglkynk* ydk ld Mk|dm|nck' Mngns|dynf ld Dltckcng* 9115' Qdy'

MNJJDY* CEKYJDS' Mk|dm|nck? Ykzfgkmndg|f ~ Kqjnckcnfgds'* Ldcnmk Dlncng'Dln|fynkj Qdkysfg' 9118' Muncf'

@TK LD DXKJTKCNG LDJ KQYDGLN_KOD' Lnydccng Yd`nfgkj ld Dltckcng IsnckYd`tjky' Lnydccng ld Dltckcng Sdctglkynk' 9110' Qdy'

KjtmgK?

@KJXD_ QKYDLDS* Ytig %9115. Mk|dm|nck ;dyf ld Sdctglkynk' Dln|fynkj Dj GfcdlkjSKC' Jnmk'

Mngns|dynf ld Dltckcng' Mk|dm|nck ;' JnmkQdy' 911>'

7/23/2019 Sesin de Aprendizaje: Poligonos

7/21

7/23/2019 Sesin de Aprendizaje: Poligonos

8/21

KGDUF G ;

7/23/2019 Sesin de Aprendizaje: Poligonos

9/21

7/23/2019 Sesin de Aprendizaje: Poligonos

10/21

KGDUF G 9

Jk qkjkiyk Qfj`fgf ds| hfymklk qfy lfs xfcds ld fyn`dg `ynd`f?

qfj~s=mtcefs ~ `fgk= g`tjfs2 qfy jf |kg|f* ds tgk hn`tyk cfg xkynfs g`tjfs'

Cfmf ~k skids* jks hn`tyks `dfm|yncks sfg qky|d ld gtds|yk xnlkcf|nlnkgk* ds|g qfy dodmqjf* dg jks sdkjds ld |ykgsn|f {td fisdyxkmfsdg jks ckjjds* ckmngfs ~ qns|ks* dg jfs ydxds|nmndg|fs ld jfs qnsfs* dg jfsctiynmndg|fs ld qkydlds ~ dg mt~ lnxdysfs |nqfs ld fiod|fs' Jfs ky|ns|ksld |flfs jfs |ndmqfs ekg t|njnzklf hn`tyks `dfm|yncks dg sts |ykikofs* ~dg dj ky|d ldj sn`jf UU kjckgzkyfg `ykg nmqfy|kgcnk cfg dj qng|fy dsqkfj

Qkijf Qnckssf' Ikskglf sts fiyks dg djdmdg|fs `dfm|yncfs* Qnckssfngncn tg gtdxf mfxnmndg|f ky|s|ncf ld `ykg nghjtdgcnk dg jk ky{tn|dc|tyk~ jks ky|ds ldcfyk|nxks jjkmklf ctinsmf'

Fisdyxd cklk tgk ld jks sn`tndg|ds hn`tyks' Ngln{td* dg dj dsqkcnfqtg|dklf2 k{tdjjks {td sfg qfj`fgfs' Ots|nhn{td dg cklk cksf'

Sfg qfj`fgfs? Ldhngk* [t ds qfj`fgf6''

Dg jk gk|tykjdzk ek~ hfymks {td sd ksdmdokg k jfs qfj`fgfs' Qfy dodmqjf* jkskidoks kjmkcdgkg jk mndj dg cdjlks nglnxnltkjds cfg hfymk eduk`fgkj' Jk hfymkeduk`fgkj ld jks cdjlks ds jk ms dhdc|nxk* ~k {td qdymn|d k`ytqky dj munmfgmdyf ld cdjlks dg tg dsqkcnf jnmn|klf sng ldoky dsqkcnfs xkcnfs'

Njts|ykcng ;? Fiyk ky|s|nck ld Qkijf Qnckssfiksklf dg hn`tyks `dfm|yncks'

7/23/2019 Sesin de Aprendizaje: Poligonos

11/21

Djdmdg|fs ld tg qfj`fgf

;' Xy|ncd? Ds dj qtg|f ld ng|dysdccng ld lfs sd`mdg|fs ld ydc|k cfg|n`tfs' Sd ldsn`gkg cfg tgkjd|yk mk~sctjk

9'

Jklfs? Ds cklk tgf ld jfs sd`mdg|fs ld ydc|k {td hfymkg dj qfj`fgf' Sd ldsn`gk sd ldsn`gk cfglfs jd|yks mk~sctjks tincklks dg sts du|ydmfs * f cfg tgk jd|yk mngsctjk

3' g`tjf ng|dynfy? Ds dj g`tjf hfymklf qfy lfs jklfs ldj qfj`fgf' Dj g`tjf ng|dynfy sd ldsn`gk cfgtgk jd|yk `ynd`k %.2 cfg jks |yds jd|yks mk~sctjks ld jfs xy|ncds {tdcfyydsqfglkg %.

7/23/2019 Sesin de Aprendizaje: Poligonos

12/21

;' SD@G ST GMDYF LD JKLFSJfs qfj`fgfs kl{tndydg tg gfmiyd qky|nctjky* sd`g dj gmdyf ld jklfs {td djjfs |dg`kg'

G ld jklfsNldg|nhnck {td |nqf ld qfj`fgf ds*

sd`g dj gmdyf ld sts jklfs'

3 jklfs? \ynkg`tjf jklfs? Ctklynj|dyf 4 jklfs? jklfs? Edu`fgf 0 jklfs? ' jklfs? Fc|`fgf > jklfs? Gfg`fgf jklfs? Ldc`fgf ;; jklfs? Dgldc`fgf jklfs? Lfldc`fgfs ;4 jklfs? Qdg|kldc`fgf 91 jklfs? ' 41 jklfs? Qdg|kcfg|`fgf ;11 jklfs? Edc|`fgf ;111 jklfs? Cenjn`fgf ;1111 jklfs? Mnyn`fgf ;111111 jklfs? Md``fgf

Dodycncnf? Jks sn`tndg|ds sdkjds ld |ykgsn|f |ndgdg hfymk ld qfj`fgfs' Cfjfck dj gfmiyd k cklk sdkj ~jtd`f nldg|nhnck {td |nqf ld qfj`fgf* sd`g st gmdyf ld jklfs ds'

Cjksnhnckcng ld jfs qfj`fgfs

Gmdyf ld jklfs Cfgxduf f cgckxfMdlnlk ld jklfs ~

g`tjfs

7/23/2019 Sesin de Aprendizaje: Poligonos

13/21

9' SD@G* DJ QFJ@FGF SDK CFGXDUF F CGCKXF'CYN\DYNF ;? \ykzf ld jks lnk`fgkjds

QFJ@FGF CFGXDUF

Tg qfj`fgf ds cfgxduf ctkglf |flks sts lnk`fgkjds qdy|dgdcdg k jk yd`ng ng|dynfy ld d qfj`fgf'

QFJ@FGF CGCKXFTg qfj`fgf ds cgckxf* sn ld |flks jks lnk`fgkjds* kj mdgfs tgk f qky|d ld djjk gf qdy|dgdcd kj ng|dynfyldj qfj`fgf'

CYN\DYNF 9? \ykzf ldj sd`mdg|f ld jgdk

Tgk hn`tyk `dfm|ynck ds cfgxduk sn qkyk lfs qtg|fs ctkjds{tndyk ~ ldg|yf ld jk hn`tyk* dj sd`mdg|f ld jgdk * sndmqyd ds|k qfy cfmqjd|f

ldg|yf ld jk hn`tyk'

Hn`tyk @dfm|ynck Cfgxduk' Hn`tyk @dfm|ynck gf Cfgxduk f Cgckxk'

'K

'I

'K 'I

7/23/2019 Sesin de Aprendizaje: Poligonos

14/21

CYN\DYNF 3? Cfg jfs g`tjfs ng|dygfs

Tg qfj`fgf ds tgk hn`tyk `dfm|ynck cfgxduk sn sts g`tjfs ng|dygfs sfgmdgfyds {td 2 ds tgk hn`tyk dfm|ynck cgckxk snqfy jf mdgfs tg

g`tjf ng|dygf ds mk~fy {td '

Hn`tyk `dfm|ynck cfgxduk' Hn`tyk `dfm|ynck cgckxk'

DODYCNCNFS G9? Nldg|nhnck ctkj ld jfs sn`tndg|ds qfj`fgfs sfg cfgxdufs ~ cgckxfs'

3' SD@G STS MDLNLKS LD STS JKLFS ^ G@TJFS'

QFJ@FGFS YD@TJKYDS QFJ@FGFS NYYD@TJKYDS?

\ndgd sts jklfs ~ g`tjfs ld n`tkjmdlnlk'

Kj mdgfs tgf ld sts jklfs f stsg`tjfs |ndgd lnhdydg|d mdlnlks'

7/23/2019 Sesin de Aprendizaje: Poligonos

15/21

QYFQNDLKLDS LD JFS QFJ@FGFS

Gmdyf ld Lnk`fgkjds

Fisdyxk dj gtmdyf ld lnk`fgkjds |ykzklks ldsld tg xy|ncd dg tg qfj`fgf ld jklfs'

Ld tg xy|ncd qky|dg lnk`fgkjds' Cfmf ek~ xy|ncds* ekiyk lnk`fgkjds' Cfmf cklk lnk`fgkj tgdlfs xy|ncds* cklk tgk ds cfg|klk lfs xdcds' Ds|f sn`gnhnck {td dj gtmdyf ld lnk`fgkjds ld tg qfj`fgf ds k mn|kl ld'

Stmk ld g`tjfs Ng|dygfs

Fisdyxkmfs {td k qky|ny ld jks lnk`fgkjds {td qky|ds ld tg xy|ncd* tg qfj`fgf ld jklfs sd ldscfmqfgddg |yng`tjfs'

Cfmf jk stmk ld jks mdlnlks ld jfs g`tjfs ng|dygfs ld tg |ynkg`tjf ds * jk stmk ld jfs g`tjfs ng|dygfs ld tgqfj`fgf ld jklfs d|k lklf qfy?

'''

Stmk ld g`tjfs du|dygfs

Sdk dj qfj`fgf ld jklfs lfgld ds jk mdlnlk ldj g`tjf ng|dygf ~ ds jk ldj g`tjf du|dygf kl~kcdg|d'

7/23/2019 Sesin de Aprendizaje: Poligonos

16/21

KGDUF G 3

DODYCNCNFS QYFQTDS\FS

;. Ctg|ks lnk`fgkjds sd qtdld |ykzkydg tg Edu`fgf6

9. Ctg|ks lnk`fgkjds sd qtdld |ykzkydg tg Qdg|`fgf6

3. Ctg|f ds jk stmk ld jfs g`tjfsng|dygfs ldj Edu`fgf6

7/23/2019 Sesin de Aprendizaje: Poligonos

17/21

KGDUF G