SESION DE APRENDIZAJE DE MATEMATICA 2a

 

A@]TATWMAÝ@ GDWMNTAZN “MNXLK] NXON@DK LNWXN‟  

]G]AÝ@ DG NVXG@DAYNIG @¹ 6=

@KOHXG DG LN ]G]AÝ@

N`nlaznoks lns prkhnhaladndgs dg pglacrk pkr ln mk`tnoa`nmaý` nohag`tnl  nohag`tnl  

A. DNTK] A@JKXONTAZK]9 >. A`statumaý` Gdumntavn 8. Vrkjgskr =. @avgl 4. Durnmaý`

Mnrlks Nron`dk Lnurn

7. Îrgn9

ONTGONTAMN

Dagck Nron`dk Vlntgrk Mu`nrn`n ]gmu`dnran > bkrn y =6 oa`utks

:. Crndk y sgmmaý` 3. Jgmbn. 2. Tur`k9

]gcu`dk“N‟ 

VXKVÝ]ATK DG NVXG@DAYNIG9 MKOVGTG@MAN]

MNVNMADNDG]

XG]WGLZG VXKHLGON] DG CG]TAÝ@ DG DNTK] G A@MGXTADWOHXG.   A@MGXTADWOHXG.

Wsn gstrntgcans y prkmgdaoag`tks pnrn rgmkpalnr y prkmgsnr dntks9

DG]GOVGÞK DG CXN DG]GOVGÞK CXNDK DK Q/K DG]GOVGÞK] Xgprgsg`tn ln prkhnhaladnd dg u` sumgsk n trnvás dg ln rgcln dg Lnplnmg (vnlkr dgmaonl) k rgprgsg`tn su prkhnhaladnd ogdan`tg su jrgmug`man rglntavn gxprgsndn mkok dgmaonl k

A@]TXWOG@TK] GZADG@MAN] DG DG  NVXG@DAYNIG  NVXG@DAYNI G GZNLWNMAÝ@ Lastn dg mktgik Dgsnrrklln prkhlgons k satunmak`gs prkhlgoîtamns utalazn`dk prkhnladndgs

pkrmg`tnig. N pnrtar gstg (rgcln dg lnplnmg vnlkr dgtgroa`n sa u`dg sumgsk gs sgcurk, prkhnhlg k aopksahlg dg sumgdg MKOVGTG@MAN] TXN@]ZGX]NLG] ]g dgsg`vuglvg g` g`tkr`ks vartunlgs cg`grndks pkr lns TAM9   Vgrsk`nlazn g`tkr`ks vartunlgs.   Cgstak`n a`jkronmaý` dgl g`tkr`k vartunl.   A`tgrnmtùn g` g`tkr`ks vartunlgs. •

•

•

G@JK^WG ZNLKXG] ZNL KXG] TXN@]ZGX]NL G@JK^WG DG Gquadnd y KXAG@TNMAK@ KXAG@ TNMAK@ NL  iustaman HAG@ MKOW@

]G DGOWG]TXN DGOWG]TXN MWN@DK Lks gstudan`tgs danlkcn` y rgjlgxak`n` skhrg lks mk`tnoa`n`tgs goatadks pkr lks mnrrks . Tnohaá`, rgmk`kmg` su aopkrtn`man dg muadnrsg jrg`tg n gstns satunmak`gs

OKOG@TK] DG LN ]G]AÝ@9  N@TG] DGL A@AMAK DG LN ]G]A ]G]AÝ@ Ý@

Mkou`amndk -  Gl dkmg`tg g`vanrî u` og`snig k Mkou`amndk pkr gl SbntsNpp dgl crupk dgl snlý`

>6966 no

hra`dn`dk a`jkronmaý` skhrg gl dgsnrrkll hra`dn`dk dgsnrrkllkk dgl îrgn dg ONTGONTAMN9 Bkrn dg a`amak9 Ogdak dg trn`soasaý`9 Ckkclg oggt G`lnmg9 bttps9//oggt.ckk bttps9//oggt.ckkclg.mko/qx`clg.mko/qx`-otsp-rng otsp-rng

Tgon n dgsnrrkllnr9  dgsnrrkllnr9 N`nlaznoks lns prkhnhaladndgs dg pglacrk pkr ln mk`tnoa`nmaý` nohag`tnl

Vîca`n | >

 

DWXN@TG GL DG]NXXKLLK DG LN ]G]AÝ@ DG NVXG@DAYNIG

VXKMG]K] VXKM G]K] VGD VGDNC NC CAMK] Q MKC@ MKC@ATAZK ATAZK] ]

- 

XGMW XGMWX] X] K]

T.

Gl dkmg dkmg`tg `tg a` a`aman aman ln sgsaý` dn`dk ln hag` hag`vg`adn vg`adn n lks gstudan`tgs, a`damî`dk a`damî`dklgs lgs qug mk`tgstg` su snludk y dgig` su `kohrg pnrn tg`gr prgsg`tg gl `ùogrk dg gstudan`tgs qug pnrtamapnrî` g` gl dgsnrrkllk dg lks nprg`daznig nprg`daznigs. s. N`tgs qug a`amag a`amag dg ln mlnsg ppkr kr ln plntnjkron vvartunl artunl Ckkc Ckkclg lg oggt sg a`damnrn9  N`nlaznoks lns prkhnhaladndgs dg pglacrk pkr ln mk`tnoa`nmaý` nohag`tnl Tgon9 N`nlaznoks Tgon9 ➨ 

Vrkpýsatk

➨ 

Xgsklvgr prkhlgons skhrg prkhnhaladndgs dg ougrtg rglnmak`ndns n ln mk`tnoa`nmaý` nohag`tnl  nohag`tnl  ➨  Xgmk`kmgr sumgsks gquaprkhn gquaprkhnhlgs hlgs n trnvás dg gigoplk gigoplks. s.      K    A    M    A    @    A

Mkopgtg`man9   XG]WGLZG VXKHLGON] DG CG]TAÝ@ DG DNTK] G Mkopgtg`man9 A@MGXTADWOHXG.

86 Danpksatav oa` ns

Mnpnmadndgs9   Xgprgsg`tn dntks mk` crîjamks y ogdadns gstndïstamns k prkhnhalïstamns9   Wsn gstrntgcans y pr prkmgdaoag`tk kmgdaoag`tkss ppnrn nrn rgmkpalnr y pprkmgsnr rkmgsnr dntks9

• •

  Q ja`nlog ja`nlog`tg `tg sg lgs a`da a`damn mn mun` mun`dk dk tgroa tgroa`g `g ln mlnsg sg pnsnrî n ln rk`dn dg prgcu`tns mk` rglnmaý` nl tgon trntndk y gl rgtk nsac`ndk.

•

lns @krons  @krons dg Mk`vavg`man Mk`vav g`man (@M (@M))9 -  Vnrn pkdgr trnhninr ogikr sg lgs rgmkrdnrî lns @M>9 Ougstrn mkrtgsïn, nonhaladnd y gdumnmaý` g` lks og`snigs g`vandks nl dkmg`tg k mkopnþgrks durn`tg ln sgsaý`. @M89 Lnvnrsg lns on`ks mk` ncun y inhý` mkok oï`aok durn`tg 86 sgcu`dks sa vn n lks sgrvamaks bacaá`amks k n ktrk nohag`tg dg su mnsn.

Vîca`n | 8

 

dkmg`tg mg`tg g`vïn ln a` a`jkronmaý` jkronmaý` skhrg gl tg tgon9 on9 N`n N`nlaznoks laznoks lns pprkhnhalad rkhnhaladndgs ndgs -  Ln dk dg pglacrk pkr ln mk`tnoa`nmaý` nohag`tnl

dkmg`tg kmg`tg arî prgsg`tn`d prgsg`tn`dk k gl tgon ogdan`tg danpksatavns g` ln vadgkmk`jgrg vadgkmk`jgrg``-  Gl d man Ckkclg oggt9

dkmg`tg `tg a`aman ln sgsa sgsaý` ý` mk` ggll pln pln`tgnoag`tk `tgnoag`tk dg ln satunmaý` sac`ajamntavn -  Gl dkmg Krcn`aznmaý` n`aznmaý` Ou`danl dg ln ]nlu ]nludd lk lkss mk`tn mk`tnoa`n`tgs oa`n`tgs goatadks pkr lks -  ]gcù` ln Krc mnrrks ontn` oîs pgrsk`ns qug pkr ktrks mk`tnoa`ntgs. G` Lnta`knoáramn mkhrn ln vadn dg 24 hrnsalgþks, 46 ogiamn`ks 88 mklkohan`ks nl výoatks, dïn. Lks sï`tkons dg a`tkxamnmaý` oîs mkou`gs sk`9 yjntacn, prgsaý` hnin, sko`klg`man,, dghaladnd, g`trg ktrks. sko`klg`man ktrks.   Dg :6 pnmag`tgs qug jugrk` danc`kstamndks pkr gl mugrpk oádamk dgl bkspatnl, >6 prgsg`tnrk` jntacn y 76 prgsg`tnrk` výoatks. Mk` ln ja`nladnd dg dnr gl trntnoag`tk oádamk9 pln`tgn ln`tgn prg prgcu`tns cu`tns n llks ks gstudan`tg gstudan`tgss pnrn qu qugg rgjlgxak` rgjlgxak`g` g` y -  Gl dkmg`tg p rgspk`dn`9 jntacn;   -  »^uá prkhnhaladnd bny qug sg glain u` pnmag`tg qug prgsg`tn jntacn; prkhnhaladnd dnd ddgg gglgcar lgcar n u` pnmag`tg qug prgsg`tn výoatks; výoatks;   -  »Muîl gs ln prkhnhala       K     L     L     K     X     X     N     ]     G     D

dkmg`tg kmg`tg arî prgsg`tn`d prgsg`tn`dkk ggll tg tgon on ntr ntrnvgs nvgs dg danpksatavns 9 -  Gl d VXKHNHALADND DG ]WMG]K ]WMG]K] ] G^WAVXK G^WAVXKHN HNHLG] HLG]

JAMBN DG MWNDGX@K TXNHNIK DANVK]ATAZ 76 oa`  N]

]a tkdks lks rgsultndks pksahlgs dg u` gxpgraog`tk nlgntkrak sk` gquaprkhnhlgs, gs dgmar, qug tkdks tag`g` lns oasons prkhnhaladndgs dg rgnlaznrsg5 g`tk`mgs, ln prkhnhaladnd dg u` sumgsk N, V(N) gs gl mkmag`tg g`trg gl `ùogrk dg mnsks jnvkrnhlgs `(N) y gl `ùogrk dg mnsks pksahlgs `(K).   XGCLN DG LNVLNMG9 () ?

ù      ù     

 

-  Ln prkhnhaladnd dg u` sumgsk gs sagoprg onykr k acunl n mgrk, pgrk og`kr k

acunl n >. 6 ≤ V(N) ≤ >  -  - 

Ln prkhnhaladnd dg u` sumgsk sgcurk k dgl gspnmak ougstrnl gs >. V(K) ? >  Ln prkhnhaladnd dg u` sumgsk aopksahlg gs 6. V(ϊ) ? 6 

Vîca`n | =

 

Gl dkmg`tg dgsnrrklln iu` iu`tks tks n lks nluo`ks ln satunmaý` sac sac`ajamntavn `ajamntavn prgsg`tndn ]klumaý` dgl a`mask n9  n9  -  Gl `ùogrk dg mnsks pksahlgs9 >6  >6  :6  -  Gl `ùogrk dg mnsks jnvkrnhlgs9 :6  prkhnhaladnd nd dg glgcar u` pnmag`tg qug prgsg`tn jntacn sgrî9 sgrî9   -  Ln prkhnhalad V( N)

?

>6 :6

   

V( N)

?

>

 

:

]klumaý` dgl a`mask h9  h9  Gvadg`tgog`tg gog`tg ln prkhnhaladnd dg glgcar n u` pnmag`tg qug prgsg`tn výoatks -  Gvadg`t sgrî9  sgrî9  76 dg :65 gs dgmar9  dgmar9  V( N)

?

76 :6

V( N)

   

?

7

 

:

-  Vkr ktrk lndk, pkdgoks tg`gr ln sgcuradnd qug glgcar n u` pnmag`tg qug prgsg`tn

výoatks sgrî9

> >∘   :

?

7

 

:

prkhnhaladnd nd dg qug ``k k -  Dg gstg rgsultndk pkdgoks a`jgrar ln okdglnmaý` dg ln prkhnhalad kmurrn u` sumgsk, tg`ag`dk g` mug`tn qug gstg gs acunl n u`k, og`ks ln prkhnhaladnd dg qug kmurrn gl sumgsk. V(`k N) ? > ” V(N)

dkmg`tg pln`tgn prgcu`tns n lks gstudan` gstudan`tgs tgs pnrn qug rgjlgxa rgjlgxak`g` k`g` y -  Gl rgspk`dn` -  Gl dkmg`tg sklamatn n lks gstudan`tgs qug rgsuglvn` gl prkhlgon pln`tgndk

>. Dg lns >86 pgrsk`ns qug nmudg` nl mg`trk oádamk pkr prkhlgon dg a`jnrtk, prkdumtk dg ln mk`tnoa`nmaý` nohag`tnl, 77 sk` vnrk`gs y :7 sk` ouigrgs. ]a sg glacg nl nznr u`n pgrsk`n qug nmudg nl mg`trk oádamk9   n. »^uá prkhnhaladnd bny qug sg glain u` vnrý`;  vnrý`;  h. »^uá prkhnhaladnd bny qug sg glain u`n ouigr;  ouigr;  - 

G` gstn nmtavadnd, gl ddkmg`tg kmg`tg gstî g` tk tkdk dk o okog`tk kog`tk ntg`tk pnrn krag`tnr n lks gstudan`tgs g` ln sklumaý` dgl prkhlgon  prkhlgon  

N lnrck dgsnrrkllk dg lnslks nmtavadndgs gl dkmg`tg nhsklvgrî dudnslnqug sglklgs bnyndglprgsg`tnd prgsg`tndk k g`trg gstudan`tgs y nprkvgmbnr nprkvgmbnrî î pnrnlns rgnlaznr rgtrknlaog`tnmaý` rgtrknlaog`tn maý` .

Vîca`n | 4

 

  dkmg`tg tg prg prgsg`tn sg`tn ggll rgtk g` ln sgmmaý` nmtavadndgs g` u` og`snig dg -  GL dkmg` SBNT]NV9 Dgsnrrklln lns nnmtavadnd mtavadnd skhrg satunmak`gs mktadan`ns nplamn`dk prkhnladndgs -  Ln dkmg`tg g`vïn u` og`snig a`damn`dk n tkdks g`vanrlg ln gvadg`man dgl rgtk

ogdan`tg u`n jktk nl dkmg`tg y `k nl crupk, y sg lgs rgmugrdn qug dghg` cunrdnr tus gvadg`mans g` sus pkrtnjklaks. Gl dkmg`tg prkougvg ln rgjlgxaý` g` lks gstudan`tgs n trnvás dg lns     G     X     X     G     A     M

sacuag`tgs prgcu`tns9  prgcu`tns9  - 

»Vugdgs mkopnrtar nlck aopkrtn`tg qug nprg`dastg skhrg ln

Mundgr`k Vkrtnjklak 86 oa`. dg gvadg`mans

prkhnhaladnd; - 

»G` quá satunmak`gs rgnlgs y mktadan`ns pkdgoks nplamnr lk nprg`dadk;

prgcu`tns u`tns qqug ug surcg surcg`, `, jglamatn lns nmtatu nmtatudgs dgs pks pksatavns atavns -  Gl dkmg`tg rgsuglvg lns prgc gvadg`mandnss durn`tg ln sgsaý`. gvadg`mandn - 

Dn pkr mk`mluadn ln sgsaý` y lks n`aon n sgcuar ndgln`tg. Lns rgmkog`dnmak`gs dg muadndk y prgvg`maý` mk`trn gl MKZAD->1. 

Tnm`n, >1 dg dg sgtagohrg dgl 8 868>. 68>.

 [[[[[[[[[[[[[[[[[[[[[[[[[  [[[[[[[[[[[[ [[[[[[[[[[[[[  [[[[[[[[[[[[[[[[[[[[[[[[[  [[[[[[[[[[[[ [[[[[[[[[[[[[[[[[[[[[[ [[[[[[[[[ Dargmtkrn Dkmg`tg

Vîca`n | 7

 

 Nmtata vadnd  Nm va dndgs gs  Nmtatava  Nm vadnd dnd 6>

]g rgnlazý u`n g`mugstn g` u` pnïs. Gl 48% dg ln pkhlnmaý` nmtavn dg gsg pnïs gstî jkrondn pkr ouigrgs. ]g snhg qug gl 84% dg lns ouigrgs y gl >:% dg lks vnrk`gs `k mug`tn` mk` trnhnik. n. Glnhkrn u` u`nn tnhln dg mk`ta`cg`man pnrn krc krcn`aznr n`aznr lk lkss dntks prkh prkhnhalïstamks9 nhalïstamks9  Nmtatavn  Nm vn (N (N)) @k mmug` ug`tn` tn` mk` mk ` Tktnl trnhnik (H) Znrk`gs (B) Ouigrgs (O) Tktnl h. Khtg`cn ln prkhnhaladnd dg qug glgcadk u` goplgndk nl nznr gl oasok sgn9 n) Znrý` h) Ouigr m) Nmtavn

 Nmtata vadnd  Nm va dnd 8

>. Xamnrdk y Jrg Jrgdy dy iu iugcn` gcn` n ln rulgtn9

n. »Muîl gs ln prkhnhaladnd qug ln ncuin mnacn g` rkik k g` nzul ; h. »Muîl gs ln prkhnhaladnd qug ln ncuin mnacn g` nnonrallk onrallk ;

Vîca`n | :

 

LA]TN DG MKTGIK W@ADND : 8dk dg ]gmu`dnran ]G]AÝ@ 3/>6

]GMMAÝ@9 “8N“ 

DKMG@TG XG]VK@]NHLG9 DAGCK NXON@DK VLNTGXK MW@WXN@N

Atgo @¶

  n    d   l   n   g    d    a    d    l    a   `    h   k  .   r    ý    a    l    h   n   a   m   t   n    l   c   n   k   `   `   r   g    a   p   g   p   l   o    a    h   g   n   n    l    t   o   n   g   r   `   n    l   u   h   k   m   k   m    l   n   s   g    M   d

  `   l   n    ý    a   y  .   m   g    a   `   d   m    a   n    j   n   l   g   d    a    l    d    a   p   n    h   n    l   n   L   g   g   h   d   m   k   r   k   p   l   n   `   n   c   k   l   g   m   r   g   g    d    X

  ]ï

@k

]ï

@k

Gstudan`tgs > 8 = 4 7 : 3 2 1 >6 >> >8 >= >4 >7 >: >3 >2 >1 86 8> 88 8= 84 87 8: 83 82 81 =6

Vîca`n | 3