#

gakveTilis Tematika

saaTebis r-oba

Catarebis dro

resursebi

gakveTilis tipi

da aqtivoba

Mmiznebi da amocanebi

mosalodneli Sedegebi

Sefaseba

1

viTvliT sagnebis raodenobas

4

wigni, kalami fanqari

jgufuri muSaoba

saganTa raodenobis dadgena Tvalis gamoyenebiT, sxvadasxva xerxiT saganTa erTobliobaSi sagnebis raodenobis daTvla, Sedegebis Sedareba

II. 1

zepiri gamokiTxva

2

meremdenea? romelia wina? romelia momdevno

4

wigni, kalami fanqari, geometriuli figurebi, sxva sagnebi

individualuri muSaoba

miTiTebuli elementis nomris dasaxeleba figurebis (naxatebis) mowesrigebul erTobliobaSi, wina da momdevno wevrTa dasaxeleba

II. 1

saklaso da saSinao davalebebi

3

sarezervo gakveTili

1

4

marcxniv, marjvniv, zemoT, qvemoT

3

kalami, fanqari, wigni da rveuli

wyvilebSi muSaoba

obieqtis mdebareobis aRweris unaris gamomuSaveba sxva obieqtis mimarT Sesabamisi terminebis gamoyenebiT

II. 9

zepiri gamokiTxva

5

ricxvebi 1-dan 20-mde

4

wigni, rveuli, kalami, feradi carcebi, magnituri cifrebi

damoukidebeli muSaoba

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 qarTulSi.

II. 1

II. 2

weriTi samuSao, zepiri gamokiTxva

6

1-dan 20-mde ricxvebis Sekreba da gamokleba

4

wigni, rveuli, kalami, feradi carcebi, magnituri cifrebi

diskusia, gonebrivi ieriSi

damoukidebeli weriTi samuSao

Sekreba-gamoklebis demonstrireba modeliT, moqmedebis Sedegis aRweris unari (“ramdeniT gaizarda”, “ramdeniT Semcirda?”)

zepirad angariSis unari Tvalis gamoyenebiT, moqme-deba urTierTSebrunebulo-bis gamoyenebiT. aTeulis gavliT Sekreba-gamoklebis demonstrireba, ricxviTi kibis gamoyebebis unari

II. 2

testireba, zepiri gamokiTxva

7

sarezervo gakveTili

1

8

geometriuli figurebi

4

wigni, kalami, saxazavi, fanqari, muyaosgan damzadebuli geometriuli figurebi

jgufuri muSaoba, figurebis Seqmna da namuSevris prezentacia

geometriuli figurebis amocnobisa da aRweris unaris ganviTareba. figurebis Sedareba da dajgufeba geometriuli atributebis mixedviT, obieqtTa urTierTganlageba

II. 8

prezentacia, urTierTSefaseba

9

SevadaroT da SevavsoT mimdevrobebi

4

wigni, kalami, rveuli, feradi carcebi, dafa

wyvilebSi muSaoba

sagnebis mocemul periodul mimdevrobaSi dalagebis wesis aRmoCena da am wesis mixedviT carieli adgilebis Sevseba, mimdevrobebis Sedareba da erTnairi wesiT warmodgenili mimdevrobebis gamorCeva.

II. 6

saklaso davalebebi

10

testireba

1

11

amovxsnaT amocanebi

4

wigni, rveuli, kalami, dafa, sxvadasxva TvalsaCimoebebi

jgufuri da individualuri muSaoba

1-dan 20-mde ricxvebis Sekrebisa da gamoyenebis martivi amocanebis amoxsnisas

II. 2

weriTi samuSao

12

sarezervo

1

13

vagrovebT monacemebs

4

furclebi, fanqrebi, gakveTilebis cxrili, sagnobrivi suraTebi, Jurnalebi da gazeTebi. siis nimuSebiT saxelmZRvanelo

aqtiuri leqcia. praqtikuli samuSao

realur obieqtze dakvirvebiT monacemTa Segroveba, monacemTa amokreba monacemTa siidan da cxrilidan

II. 11

msjeloba, wera

14

monacemTa warmodgena moxerxebuli xerxiT

5

furclebi, fanqrebi, gakveTilebis cxrili, sagnobrivi suraTebi, Jurnalebi da gazeTebi. siis nimuSebiT saxelmZRvanelo

aqtiuri leqcia. praqtikuli samuSao

monacemebis ganlageba mocemuli TanmimdevrobiT an mocemul poziciebze, monacemTa mocemul jgufSi monacemis adgilis moZebnis unaris gamomuSaveba. monacemTa erTobliobis klasifikacia da am klasifikaciis wesis aRwera, piqtograma, cxrili, sia.

II. 12

msjeloba, wera

15

vmsjelobT monacemebis Sesaxeb

6

furclebi, fanqrebi, gakveTilebis cxrili, sagnobrivi suraTebi, Jurnalebi da gazeTebi. siis nimuSebiT saxelmZRvanelo

aqtiuri leqcia. praqtikuli samuSao

monacemTa siis daxasiaTeba sxvadasxva niSnis mixedviT (saerTo raodenoba, ganmeoreba, pozicia, Tanmimdevroba). Ppiqtogramis, cxrilis aRweris unaris gamomuSaveba

II. 13

msjeloba, wera

16

sarezervo samuSao

1

17

damoukidebeli samuSao

1

18

aTeuli, aTeulebi da erTeulebi

3

saxelmZRvanelo, Cxirebi, fulis erTeulis gamosaxulebebi. Sagnobrivi suraTebi

aqtiuri leqcia. damoukidebeli weriTi samuSao

“erTniSna” da”orniSna” ricxvebis wakiTxva da Cawera. ricxvebis Cawera sxvadasxva modelis gamoyenebiT (poziciuri sistemiT an saganTa groviT).

II. 1 II. 2

msjeloba, weriTi samuSao

19

ricxvebi 100-mde

4

saxelmZRvanelo, Cxirebi, fulis erTeulis gamosaxulebebi. sagnobrivi suraTebi

aqtiuri leqcia. damoukidebeli weriTi samuSao

aTobiT 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 II. 2

msjeloba, weriTi samuSao

20

sarezervo gakveTilebi

1

21

SevafasoT raodenoba

3

saxelmZRvanelo Cxirebi, sagnebi

aqtiuri leqcia. damoukidebeli weriTi samuSao

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

msjeloba, wera

22

erTniSna da orniSna ricxvebi

4

cifrebiani baraTebi, sagnobrivi suraTebi, geometriuli figurebi, saTvleli Cxirebi, saxelmZRvanelo.

aqtiuri leqcia. damoukidebeli weriTi samuSao

“erTniSna” da “orniSna” ricxvebis Cawera da warmodgena modelis gamoyenebiT.

II. 1

zepiri gamokiTxva. weriTi samuSao

23

romeli ricxvia meti? Romeli ricxvia naklebi?

4

cifrebiani baraTebi, sagnobrivi suraTebi, geometriuli figurebi, saTvleli Cxirebi, saxelmZRvanelo.

diskusia, gonebrivi ieriSi, praqtikuli samuSao

iyenebs maTematikur niSnebs ricxvebis Sedarebisas

II. 4

msjeloba, wera

#

gakveTilis Tematika

saaTebis r-oba

Catarebis dro

resursebi

gakveTilis tipi

da aqtivoba

Mmiznebi da amocanebi

mosalodneli Sedegebi

Sefaseba

24

ramdeniTaa meti? ramdeniTaa naklebi?

4

wigni, kalami, saxazavi, fanqari, muyaosgan damzadebuli geometriuli figurebi

jgufuri muSaoba, figurebis Seqmna da namuSevris prezentacia

ricxvebs Soris gansxvavebebis dadgena

II. 4

msjeloba, wera

25

sarezervo gakveTili

4

26

Cveni fuli

4

cifrebiani baraTebi, sagnobrivi suraTebi,

diskusia, gonebrivi ieriSi, praqtikuli samuSao

qarTuli fulis niSnebis gacnoba, gaTamaSebul viTarebaSi erovnuli fulis niSnebis gamoyenebis unaris ganviTareba.

II. 11

msjeloba, wera

27

vaormagebT raodenobas

4

saxelmZRvanelo Cxirebi, sagnebi

aqtiuri leqcia. damoukidebeli weriTi samuSao

gaormagebis moqmedebis demonstrireba saganTa mocemul raodenobisTvis amave raodenobisa jgufis damatebiT. gaormageba ricxvebis 1-dan 10-mde, gaormagebis dakavSireba ricxvebis saxelebTan.

II. 3

msjeloba, weriTi samuSao

28

vanaxevrebT raodenobas

4

saxelmZRvanelo Cxirebi, sagnebi

aqtiuri leqcia. damoukidebeli weriTi samuSao

gaormageba-ganaxevrebis urTierTkavSiris gaazreba.modelis gamoyenebiT ganaxevrebis proceduris aRwera-Semowmeba. ricxvebis ganaxevrebisas ukuTvlis gamoyeneba; ganaxevreba-gaormagebis urTierTSebrunebulobis deminstrireba.

II. 3

msjeloba, weriTi samuSao

29

sarezervo gakveTili

5

30

aRwereT zogierTi geometriuli figura

3

wigni, kalami, saxazavi, fanqari, muyaosgan damzadebuli geometriuli figurebi

jgufuri muSaoba, figurebis Seqmna da namuSevris prezentacia

brtyeli figurebis aRwera (wertili, monakveTi,  texili, mrudi wiri)

II. 10

jgufuri muSaoba, figurebis Seqmna da namuSevrebis prezentacia

31

vadarebT figurebis zomebs

4

wigni, kalami, saxazavi, fanqari, muyaosgan damzadebuli geometriuli figurebi

jgufuri muSaoba, figurebis Seqmna da namuSevris prezentacia

urTierTSeTavsebiT figuraTa wrfivi zomebis Sedareba, zomis arastandartuli erTeulebis gamoyeneba.

II. 10

prezentacia

32

figuris Sida da gare areebi, sazRvari

3

wigni, kalami, saxazavi, fanqari, muyaosgan damzadebuli geometriuli figurebi

jgufuri muSaoba, figurebis Seqmna da namuSevris prezentacia

figuris Sida da gare areebis gansxvavebis unaris ganviTareba, figuris sazRvarze, SigniT da gareT mdebare wertilebis miTiTeba.

II. 8

msjeloba

33

tolia es figurebi?

3

wigni, kalami, saxazavi, fanqari, muyaosgan damzadebuli geometriuli figurebi

jgufuri muSaoba, figurebis Seqmna da namuSevris prezentacia

toili figurebis nimuSebis amocnoba, figuraTa tolobis demonstrireba urTierTSeTavsebiT.

II. 10

msjeloba, prezentacia.

34

sarezervo gakveTili

4

35

testi

1

36

SevkriboT aTeulebi

3

saxelmZRvanelo, Cxirebi, fulis erTeulis gamosaxulebebi. sagnobrivi suraTebi

aqtiuri leqcia. damoukidebeli weriTi samuSao

Tvlisas mTliani aTeulebiT “gadaxtomis” gamoyenebiT “mrgvali”  ricxvebis Sekrebis demonstrireba

II. 4

saklaso davalebebi

37

testi

1

38

gamovakloT aTeulebi

3

saxelmZRvanelo, Cxirebi, fulis erTeulis gamosaxulebebi. sagnobrivi suraTebi

aqtiuri leqcia. damoukidebeli weriTi samuSao

mTliani aTeuliT ukuTvlis gamoyeneba zepiri angariSisas.

II. 2

weriTi samuSao

39

mivumatoT erTniSna ricxvi

3

saxelmZRvanelo,

Cxirebi

aqtiuri leqcia. damoukidebeli weriTi samuSao

bijiT Tvlis an aTeuliT “gadaxtomis” gamoyenebiT erTniSna ricxvis mimateba.

II. 2

weriTi samuSao da msjeloba

40

testi

1

41

gamovakloT erTniSna ricxvi

3

wigni, rveuli, kalami, feradi carcebi, magnituri cifrebi

wyvilebSi muSaoba

bijiT Tvlis an aTeulis gavliT erTniSna ricxvis gamokleba. ricxviTi kibis gamoyeneba.

II. 2

weriTi samuSao da msjeloba

42

sarezervo gakveTili

4

43

testi

1

44

SevafasoT jami da sxvaoba

3

wigni, rveuli, kalami, feradi carcebi, magnituri cifrebi

wyvilebSi muSaoba

jamis an sxvaobis Sefaseba uaxloesi aTeulis, oceulis, xuTeulis dasaxelebis gamoyenebiT.

II. 4

weriTi samuSao da msjeloba

45

sarezervo gakveTili

4

46

vipovoT ucnobi Sesakrebi, vipovoT ucnobi saklebi

4

wigni, rveuli, kalami, feradi carcebi, magnituri cifrebi

wyvilebSi muSaoba

1-is toli bijiT Tvlis gamoyenebiT ucnobi Sesakrebis povna, roca cnobilia meore Sesakrebi da jami. demonstrireba ricxviT kibeze.

II. 5

weriTi samuSao da msjeloba

47

sarezervo gakveTili

5

48

viyenebT Sekrebis Tvisebebs

4

wigni, rveuli, kalami, feradi carcebi, magnituri cifrebi

wyvilebSi muSaoba

Sekrebis Tvisebebis gamoyeneba ricxviTi gamosaxulebis mniSvnelobis sapovnelad.

II. 7

weriTi samuSao, zepiri gamokiTxva

49

sarezervo gakveTili

4

50

amovxsnaT amocanebi

6

wigni, kalami, saxazavi, fanqari, muyaosgan damzadebuli geometriuli figurebi

jgufuri muSaoba, figurebis Seqmna da namuSevris prezentacia

amocanis pirobis mixedviT mocemulisa da saZieblis swori gansazRvra, Sesabamisi moqmedebis SerCeva.

II. 5

msjeloba, weriTi samuSao

51

sarezervo gakveTili

4

52

testi

1