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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'
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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
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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
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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
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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
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7/23/2019 Sesin de Aprendizaje: Poligonos
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KGDUF G ;
7/23/2019 Sesin de Aprendizaje: Poligonos
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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'
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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 %.
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;' 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
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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
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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'
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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'
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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
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KGDUF G