სილაბუსი მათემატიკა II კლასი


Tbilisis me-10 sajaro skola
silabusi
(2011-2012 sasw. weli)
sagani _ maTematika
klasi _ II
maswavlebeli _ marine beJaniSvili

sagnis Sesaxeb:
   maTematikis Seswavlam safuZveli unda Seuqmnas logikuri, saazrovno, abstraqtuli unarebis ganviTarebas, rac mozards exmareba logikuri, argumenturi msjelobis CamoyalibebaSi. sagnis Seswavlis dros xdeba moswavleTa saazrovno TamaSebSi CarTva, rac xels uwyobs motivaciis amaRlebas da mexsierebis ganviTarebas.      

swavlebis am safexurze Cveni mizania:
   moswavlem SeZlos me-2 klasisTvis dadgenili standartis dakmayofileba da miRebuli codnis gamoyeneba, rogorc Semdgom klasebSi, aseve skolis gareT-sazogadoebaSi.

semestruli datvirTva:



sul: 180           saaTi
I semestri
II semestri
72       saaTi
108    saaTi






                                                           I semestri


TariRi


meTodebi
ra ecodineba da SeeZleba moswavles
(kavSiri erovn. sasw. gegmis SedegebTan)

saswavlo resursi

Sefaseba

SeniSvna


15.09-20.09

viTvliT sagnebis
raodenobas

moswavleTa gacnoba;
moTelva;
saxelmZRvanelos daTvaliereba;
ilustraciebze muSaoba;
sagnebis daTvla; Sedareba.
gakveTilis Sejameba;
saganTa raodenobis dadgena Tvlis gamoyenebiT, sxvadasxva
xerxiT saganTa erTobliobaSi sagnebis raodenobis
daTvla, Sedegebis Sedareba. II. 1.
saxelmZRvanelo;
Cxirebi;
kubikebi;
ilustrciebi;
komentari



21.09-26.09


meramdenea? romelia
wina? romelia
momdevno?


moTelva;
roluri TamaSi;
saxelmZRvaneloze muSaoba;
geometriuli figurebis sxvadasxva saxiT ganlageba;
gakvTilis Sejameba;
miTiTebuli elementis nomris dasaxeleba figurebis
(naxatebis) mowesrigebul erTobliobaSi, wina da
momdevno wevrTa dasaxeleba. II. 1
saxelmZRvanelo;
Cxirebi;
muyao;
geometriuli figurebi;
komentari



27.09-29.09


marcxniv, marjvniv,
zemoT, qvemoT


moTelva;
roluri TamaSi;
saxelmZRvaneloze muSaoba;
geometriuli figurebis sxvadasxva saxiT ganlageba;
saSinao davaleba;
gakvTilis Sejameba;
obieqtis mdebareobis aRweris unaris gamomuSaveba
sxva obieqtis mimarT Sesabamisi terminebis gamoyenebiT
II. 9.
saxelmZRvanelo;
geometriuli figurebi;
kiTxva-pasuxi



30.09-05.10


ricxvebi 1-dan
20-mde


kiTxvebis dasma;
saxelmZRvaneloze muSaoba;
Tvla 20-mde, piriqiT da uku;
grovebaT dawyobili Cxirebi da sxvadasxva figurebi;
gakvTilis Sejameba;
saSinao davaleba;
1-dan 20-mde ricxvebis Cawera da wakiTxva wina da momdevno
ricxvebis dasaxeleba, 1-dan 20-mde ricxvebis
gamosaxva sxvadasxva modeliT (poziciuri sistemiT
Cawera, gamosaxva groviT). ricxvebis saxelwodeba qar-
TulSi, II. 1. II. 2.
saxelmZRvanelo;
Cxirebi;
dafa;
wamaxalisebeli baraTi;



6..10-13.10


1-dan 20-mde ricxvebis
Sekreba da
gamokleba


kiTxvebis dasma;
saSinao davalebis Semowmeba;
saxelmZRvaneloze muSaoba;
zepiri angariSi;
maTematikuri kibe;
maTematikuri TamaSi (gamoicani magaliTi);
gakvTilis Sejameba;
saSinao davaleba;
Sekreba-gamoklebis demonstrireba modeliT, moqmedebis
Sedegis aRweris unari (`ramdeniT gaizarda~,
`ramdeniT Semcirda?~)
zepirad angariSis unari Tvlis gamoyenebiT, moqmedebaTa
urTierTSebrunebulobis gamoyenebiT. aTeulis
gavliT Sekreba-gamoklebis demonstrireba, ricxviTi
kibis gamoyenebis unari II.2.
saxelmZRvanelo;
dafa;
feradi  carci;
wamaxalisebeli baraTi;



14.10-20.10


geometriuli
figurebi


moTlva;
saSinao davalebis Semowmeba;
saxelmZRvaneloze muSaoba;
jgufuri muSoba;
gakvTilis Sejameba;
saSinao davaleba;
geometriuli figurebis amocnobisa da aRweris unaris
ganviTareba. figurebis Sedareba da dajgufeba
geometriuli atributebis mixedviT, obieqtTa urTierTganlageba
II. 8.
saxelmZRvanelo;
dafa;
carci;
prezentacia




21.10-27.10


SevadaroT da
SevavsoT mimdevrobebi


kiTxva-pasuxi;
saSinao davalebis Semowmeba;
geometriuli figurebis saSualebiT sxvadasxva mimdevrobebis Sedgena;
wyvilebSi muSoba;
gakvTilis Sejameba;
saSinao davaleba;
sagnebis mocemul periodul mimdevrobaSi dalagebis
wesis aRmoCena da am wesis mixedviT carieli adgilebis
Sevseba. mimdevrobebis Sedareba da erTnairi
wesiT warmodgenili mimdevrobebis gamorCeva. II. 6.
saxelmZRvanelo;
dafa;
carci;
geometriuli figurebi;
kiTxva-pasuxi



28.10-3.11


amovxsnaT amocanebi


saSinao davalebis Semowmeba;
roluri TamaSi;
saxelmZRvaneloze muSaoba;
grfikuli naxazebi;
ilustraciebi;
gakvTilis Sejameba;
saSinao davaleba;
1-dan 20-mde ricxvebis Sekrebisa da gamoklebis gamoyeneba
martivi amocanebis amoxsnisas.
saxelmZRvanelo;
ilustraciebi;
dafa;
carci;
ganmaviTarebeli komentari



4.11-10.11

vagrovebT monacemebs

ganvlili masalis gamokiTxva;
saSinao davalebis Semowmeba;
monacemTa moZieba da Segroveba;
saxelmZRvaneloze muSaoba;
jgufuri muSoba;
gakvTilis Sejameba;
saSinao davaleba;
realur obieqtze dakvirvebiT monacemTa Segroveba,
monacemTa amokreba monacemTa siidan da cxrilidan. II. 11
saxelmZRvanelo;
formati;
Tabaxis furclebi;
feradi fanqrebi;
prezentacia



11.11-17.11


monacemTa warmodgena
moxerxebuli
xerxiT


moTlva;
saSinao davalebis Semowmeba;
saxelmZRvaneloze muSaoba;
cxrilebis Sedgena;
piqtograma, wakiTxva;
wyvilebSi muSoba;
gakvTilis Sejameba;
saSinao davaleba;
monacemebis ganlageba mocemuli TanmimdevrobiT an
mocemul poziciebze, monacemTa mocemul jgufSi monacemis
adgilis moZebnis unaris gamomuSaveba.
monacemTa erTobliobis kalsifikacia da am klasifikaciis
wesis aRwera, piqtograma, cxrili, sia II. 12.
saxelmZRvanelo;
Tabaxis furclebi;
feradi fanqrebi;
ganmaviTarebeli komentari



18.11-29.11


vmsjelobT monacemebis
Sesaxeb


moTlva;
saSinao davalebis Semowmeba;
saxelmZRvaneloze muSaoba;
jgufuri muSoba;
gakvTilis Sejameba;
saSinao davaleba;
monacemTa siis daxasiaTeba sxvadasxva niSnis mixedviT
(saerTo raodenoba, ganmeoreba, pozicia, Tanmimdevroba).
piqtogramis, cxrilis aRweris unaris gamomuSaveba.
II. 13.
saxelmZRvanelo;
Tabaxis furclebi;
prezentacia



30.11-05.12


aTeulebi
da erTeulebi


kiTxv-pasuxi;
saSinao davalebis Semowmeba;
saxelmZRvaneloze muSaoba;
ricxvebis Cawera, maTi daSla Tanrigebad;
sxvdasxva sagnebis grovebis ganxilva;
gakvTilis Sejameba;
saSinao davaleba;
`erTniSna~da `orniSna~ ricxvebis wakiTxva da Cawera.
ricxvebis Cawera sxvadasxva modelis gamoyenebiT
(poziciuri sistemiTM an saganTa groviT).
saxelmZRvanelo;
konebad Sekruli Cxirebi;
geometriuli figurebi;
ganmaviTarebeli komentari



6.12-15.12


ricxvebi 100-mde


saSinao davalebis Semowmeba;
Cxirebis grovebad warmodgena (aTeulbad Sekvra);
aTeulebisa da erTeulebis Tanrigebis miTiTeba orniSna ricxvebSi;
roluri TamaSi;
ricxvTa cxrili;
gakvTilis Sejameba;
saSinao davaleba;
aTobiTi poziciuri sistemis Caweris demonstrireba
saganTa erTobliobaSi aTeulebis jgufis gamoyofiT.
orniSna ricxvis CanawerSi aTeulisa da erTeulis Tanrigebis
miTiTeba, cifrebis mniSvnelobis dasaxeleba,
erTeulis TanrigSi 0-is gamoyenebis azri, II. 1.
saxelmZRvanelo;
konebad Sekruli Cxirebi;
geometriuli figurebi;
wamaxalisebeli baraTi;




16.12-20.12



SevafasoT raodenoba



saSinao davalebis Semowmeba;
roluri TamaSi;
feradi ilustraciebi (grovebis dayofa xuTeulebad, aTeulbad da oceulebad);
grovebis Sedreba;
gakvTilis Sejameba;
saSinao davaleba;
Sesabamisi xerxis SerCeviT raodenobaTa Sedarebis da
Sefasebis unaris ganviTareba,
saganTa ramdenime grovidan amorCeva im grovisa,
romelSic saganTa raodenoba miaxloebiT mocemuli
ricxvis tolia, uaxloesi oceulis, aTeulis, xuTeulis
dasaxeleba, pasuxis ganmarteba. II. 4
saxelmZRvanelo;
Cxirebi;
kubikebi;
wamaxalisebeli baraTi;



21.12-26.12

erTniSna da orniSna
ricxvebi

moTlva;
saSinao davalebis Semowmeba;
saxelmZRvaneloze muSaoba;
maTematikuri TamaSi “daSifvra”;
gakvTilis Sejameba;
saSinao davaleba;
`erTniSna~ da `orniSna~ ricxvebis Cawera da warmodgena
modelis gamoyenebiT. II. 1.
saxelmZRvanelo;
Tabaxis furclebi;
wamaxalisebeli baraTi;



20.01-26.01
romeli ricxvia
meti? romeli
ricxvia naklebi?
kiTxva-pasuxi;
saSinao davalebis Semowmeba;
saxelmZRvaneloze muSaoba;
ilustraciebi;
savarjiSoebi dafidan;
gakvTilis Sejameba;
saSinao davaleba;
iyenebs maTematikur niSnebs ricxvebis Sedarebisas. II. 4..
saxelmZRvanelo;
ilustrciebi;
dafa;
feradi carci;
wamaxalisebeli baraTi;


27.01-2.02


ramdeniTaa meti?
ramdeniTaa naklebi?


saSinao davalebis Semowmeba;
saxelmZRvaneloze muSaoba;
metoba-naklebobis Semowmeba sqemebis daxmarebiT;
damoukidebeli samuSao;
gakvTilis Sejameba;
saSinao davaleba;
ricxvebs Soris gansxvavebis dadgena sxvadasxva xerxis
gamoyenebiT. II. 4
saxelmZRvanelo;
dafa;
feradi carci;
wamaxalisebeli baraTi;



3.02-9.02


Cveni fuli


saSinao davalebis Semowmeba;
saxelmZRvaneloze muSaoba;
roluri TamaSi “maRazia”;
gakvTilis Sejameba;
saSinao davaleba;
qarTuli fulis niSnebis gacnoba, gaTamaSebul viTarebaSi
erovnuli fulis niSnebis gamoyenebis unaris
ganviTareba.
saxelmZRvanelo;
qaRaldisgn gamoWrili kupiurebi;
wamaxalisebeli baraTi;



10.02-16.02
vaormagebT raodenobas
moTelva;
saSinao davalebis Semowmeba;
saxelmZRvaneloze muSaoba;
saganTa gaormagebis demonstireba;
jgufuri muSaoba;
gaormagebis magaliTebi zepirad;.
gakvTilis Sejameba;
saSinao davaleba;
gaormagebis moqmedebis demonstrireba saganTa mocemul
raodenobisTvis amave rodenobisa jgufis
damatebiT. gaormageba ricxvebis 1-dan 10-mde, gaormagebis
dakavSireba ricxvebis saxelebTan. II. 3.
saxelmZRvanelo;
wignebi;
rveulebi;
fanqrebi;
kalmebi;
geometriuli figurebi;
wamaxalisebeli baraTi;
prezentacia;



17.02-23.02
vanaxevrebT raodenobas
moTelva;
saSinao davalebis Semowmeba;
saxelmZRvaneloze muSaoba;
modelis gamoyeneba ganaxevrebaze;
roluri TamaSi;
ganaxevrebis magaliTebi zepirad;
gakvTilis Sejameba;
saSinao davaleba;
gaormageba-ganaxevrebis urTierTkavSiris gaazreba.
modelis gamoyenebiT ganaxevrebis proceduris aRwera-
Semowmeba. ricxvebis ganaxevrebisas ukuTvlis
gamoyeneba; ganaxevreba-gaormagebis urTierTSebrunebulobis
demonstrireba. II.3.
saxelmZRvanelo;
wignebi;
rveulebi;
fanqrebi;
kalmebi;
geometriuli figurebi
ganmaviTarebeli komentari



24.02-1.03
aRvweroT zogierTi
geometriuli
figura
jgufuri muSaoba;
brtyeli figurebis aRwera;
msgavseba-Sedareba;
gakvTilis Sejameba;
saSinao davaleba;
brtyeli figurebis aRwera (wertili, monakveTi, texili,
mrudi, wiri)
saxelmZRvanelo;
qaRaldi;
makrateli;
ganmaviTarebeli komentari



2.03-7.03
vadarebT figurebis
zomebs
sxvadasxva figurebis gazomva saxazavis daxmarebiT;
cida, goji;
maTematikuri TamaSi “gaormageba da ganaxevreba ar meSleba”;
gakvTilis Sejameba;
saSinao davaleba;
urTierTSeTavsebiT figuraTa wrfivi zomebis Sedareba,
zomis arastandartuli erTeulebis gamoyeneba
saxelmZRvanelo;
saxazavi;
santimetri;
ganmaviTarebeli komentari



9.03-15.03
figuris Sida da
gare areebi, sazRvari
moTelva;
saxelmZRvaneloze muSaoba;
moisazre;
vin iqneba pirveli?
testi;
gakvTilis Sejameba;
saSinao davaleba;
figuris Siga da gare areebis gansxvavebis unaris ganviTareba,
figuris sazRvarze, SigniT da gareT mdebare
wertilebis miTiTeba. II, 8.
saxelmZRvanelo;
dafa;
carci;
wamaxalisebeli baraTi



16.03-21.03

22.03
tolia es figurebi?


Semajamebeli testireba
kiTxva-pasuxi;
figuris gasrialeba, SeTavseba;
saxelmZRvaneloze muSaoba;
savarjiSoebi dafidan;
gakvTilis Sejameba;
saSinao davaleba;
toli figurebis nimuSebis amocnoba, figuraTa
tolobis demonstrireba urTierTSeTavsebiT. II, 10
saxelmZRvanelo;
geometriuli figurebi;
Tabaxis furclebi;
ganmaviTarebeli komentari



23.03-28.03
SevkriboT
aTeulebi
ricxviTi gmosaxuleba;
Sekrebis demonstrireba;
damoukidebeli samuSao;
moisazre;
maTematikuri TamaSi “Tvla aTeulebiT”;
gakvTilis Sejameba;
saSinao davaleba;
Tvlisas mTliani aTeulebiT `gadaxtomis~ gamoyenebiT
`mrgvali~ ricxvebis Sekrebis demonstrireba
saxelmZRvanelo;
dafa;
carci;
wamaxalisebeli baraTi



29.03-4.04
gamovakloT aTeulebi
ricxviTi gmosaxuleba;
gaamoklebis demonstrireba;
damoukidebeli samuSao;
ricxviTi kibe;
moisazre;
gakvTilis Sejameba;
saSinao davaleba;
mTliani aTeuliT ukuTvlis gamoyeneba zepiri angari-
Sisas. II. 2.
saxelmZRvanelo;
dafa;
carci;
wamaxalisebeli baraTi



5.04-12.04
mivumatoT erTniSna
ricxvi
kiTxva-pasuxi;
saxelmZRvaneloze muSaoba;
savarjiSoebi dafidan;
ricxviTi kibe;
gakvTilis Sejameba;
saSinao davaleba;
bijiT Tvlis an aTeuliT `gadaxtomis~ gamoyenebiT
erTniSna ricxvis mimateba II.2.
saxelmZRvanelo;
dafa;
carci;
wamaxalisebeli baraTi



13.04-19.04
gamovakloT erTniSna
ricxvi
kiTxva-pasuxi;
saxelmZRvaneloze muSaoba;
savarjiSoebi dafidan;
ricxviTi kibe;
gakvTilis Sejameba;
saSinao davaleba;
bijiT Tvlis an aTeulis gavliT erTniSna ricxvis
gamokleba. ricxviTi kibis gamoyeneba II. 2
saxelmZRvanelo;
dafa;
carci;
wamaxalisebeli baraTi



20.04-26.04
SevafasoT jami
da sxvaoba
Sekrebis da gamoklebis demonstrireba;
damoukidebeli samuSao;
ukuTvla aTeulebiT, oceulebiT;
Sefaseba;
gakvTilis Sejameba;
saSinao davaleba;
jamis an sxvaobis Sefaseba uaxloesi aTeulis, oceulis,
xuTeulis dasaxelebis gamoyenebiT. II, 4.
saxelmZRvanelo;
dafa;
carci;
wamaxalisebeli baraTi

27.04-7.05
vipovoT ucnobi
Sesakrebi;
vipovoT ucnobi
saklebi
savarijiSoebi dafidan;
saxelmZRvaneloze muSaoba;
ucnobi Sesakrebis da saklebis povna ricxviTi  kibis gamoyenebiT;
gakvTilis Sejameba;
saSinao davaleba;
1-is toli bijiT Tvlis gamoyenebiT ucnobi Sesakrebis
povna, roca cnobilia meore Sesakrebi da jami.
demonstrireba ricxviT kibeze. II, 5.
saxelmZRvanelo;
dafa;
carci;
wamaxalisebeli baraTi

8.05-18.05
viyenebT Sekrebis
Tvisebebs
moTelva;
savarijiSoebi dafidan;
saxelmZRvaneloze muSaoba;
gakvTilis Sejameba;
saSinao davaleba;
Sekrebis Tvisebebis gamoyeneba ricxviTi gamosaxulebis
mniSvnelobis sapovnelad. II. 7
saxelmZRvanelo;
dafa;
carci;
wamaxalisebeli baraTi



21.05-31.05
amovxsnaT amocanebi
amocanis pirobis mokled Cawera;
sqema;
rogor SevarCioT swori moqmedeba;
miznis dasaxva da Tanmimdevroba;
savarjiSoebi dafidan;
damoukidebeli samuSao;
gakvTilis Sejameba;
saSinao davaleba;
amocanis pirobis mixedviT mocemulisa da saZieblis
swori gansazRvra, Sesabamisi moqmedebis SerCeva. II. 5
saxelmZRvanelo;
dafa;
carci;
wamaxalisebeli baraTi


31.05-15.06
gameoreba
savarjiSoebi dafidan;
kiTxva-pasuxi;
gavlili masalis gameoreba.;

saxelmZRvanelo;
dafa;
carci;
ganmaviTarebeli komentari


7.06
wliuri Semajameebeli testireba
testebi;

Tabaxis furclebi.
ganmaviTarebeli komentari



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