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gamomcemloba „aimc“ 2018 weli

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ISBN

gamomcemloba „aimc“ 2018 weli

sarCevi Tavi 1 §1 daiTvaleT................................................................5 §2 meti, naklebi, imdenive.........................................5 §3 feri, zoma, forma...................................................7 §4 wre, samkuTxedi, oTxkuTxedi.............................8 §5 marjvena, marcxena...............................................10 §6 zoma, wona................................................................12 §7 pirveli, bolo, Semdegi......................................13 §8 dajgufeba..............................................................14 §9 mimdevroba.............................................................15 Tavi 2 §1 ricxvi 1.............................................................. 17 §2 ricxvi 2.............................................................. 18 §3 ricxvi 3.............................................................. 20 §4 ricxvi 0.............................................................. 21 §5 ricxvebi 0,1,2,3.................................................. 22 §6 ricxvi 4.............................................................. 23 §7 ricxvi 5.............................................................. 24 §8 ricxvebi 0,1,2,3,4,5............................................ 26 §9 ricxvi 6.............................................................. 28 §10 ricxvi 7............................................................ 30 §11 ricxvi 8............................................................. 31

§12 ricxvebi 0,1,2,3,4,5,6,7,8................................. 34 §13 ricxvi 9............................................................ 35 §14 ricxvi 10.......................................................... 36 §15 gameoreba..............................................................38 Tavi 3 §1 ricxvebi 1-dan 10-mde.........................................43 §2 figurebi.................................................................44 §3 raodenobis Sedareba..........................................46 §4 jamis wevrebi.........................................................48 §5 sxvaobis wevrebi...................................................50 §6 ricxvTa kibe..........................................................51 §7 ricxviTi RerZi.....................................................53 §8 mivumatoT 1, gamovakloT 1............................. 55 §9 mivumatoT 2, gamovakloT 2............................. 56 §10 mivumatoT 3, gamovakloT 3........................... 57 §11 mivumatoT 4, gamovakloT 4........................... 58 §12 mivumatoT 5, gamovakloT 5.............................59 §13 amovxsnaT amocanebi..........................................60 §14 mivumatoT 0, gamovakloT 0........................... 61 §15 toli ricxvebis gamokleba.............................62 §16 mivumatoT 6 da 7, gamovakloT 6 da 7........... 62 §17 mivumatoT 8 da 9, gamovakloT 8 da 9........... 64 §18 Sekrebis Tviseba.................................................66 §19 qarTuli fuli....................................................67 §20 jufTebad Tvla..................................................69 §21 orobiT Tvla.......................................................71 §22 gameoreba..............................................................73

Tavi 1 ยง1 daiTvaleT 1 gaaferadeT imdeni wre, ramdeni naxaticaa.

ยง2 meti, naklebi, imdenive 1 daawyvileT. gadaxazeT

zedmeti naxatebi.

5

2 gaaferade Tevzebi iq, sadac yvelaze bevria.

3 gaaferade foTlebi iq, sadac yvelaze cotaa.

4 gaaferadeT is wre, romlis mxaresac bevri

naxatia.

6

ยง3 feri, zoma, forma 1 gaaferadeT wre yvelaze didi naxatis qveS.

2 gaaferadeT

3 gaaferadeT

toli naxatebi.

yvelaze patara.

4 mouZebneT Citebs

Tavisive feris galia.

5 mouZebneT yvela

saCuqars imave feris sasaCuqre yuTi.

7

ยง4 wre, samkuTxedi, oTxkuTxedi 1 gaaferadeT nimuSis mixedviT.

2 daxazeT figurebi.

8

3 gaaferadeT.

9

4 daxateT TiToeuli nivTis formis figura.

ยง5 marjvena, marcxena 1 gaaferadeT naxati, romelic aris:

marcxniv

SuaSi

2 daxateT samkuTxedi wris SigniT.

daxateT oTxkuTxedi wris gareT.

10

marjvniv

3 daxateT wre oTxkuTxedis zemoT.

daxateT samkuTxedi oTxkuTxedis qveS.

4 daxateT ori Citi gemiT zemoT. daxateT sami

Tevzi gemiT qvemoT. daxateT ori Tolia wyalze.

11

ยง6 zoma, wona 1 SemoxazeT yvelaze maRali.

2 SemoxazeT yvelaze mokle.

3 SemoxazeT yvelaze mZime.

12

ยง7 pirveli, bolo, Semdegi 1 gaaferadeT marcxnidan pirveli da meeqvse

naxatis qveS.

2 gaaferadeT marcxnidan mexuTe da meaTe naxatis

qveS.

3 gaaferadeT marcxnidan meore da merve naxatis

qveS.

4 gaaferadeT marcxnidan meoTxe da meSvide

naxatis qveS.

13

ยง8 dajgufeba 1 SemoxazeT gansxvavebuli.

2 ipoveT gansxvavebuli naxati.

miaxateT rac aklia.

3 daawyvileT naxatebi.

4 miiyvaneT

cxovelebi saxlebSi.

14

ยง9 mimdevroba 1 daasruleT naxati.

2 daxateT momdevno figura.

3 gaaferadeT bolo sami fanqari.

15

4 romeli ori naxatia gamotovebuli?

SemoxazeT swori pasuxi.

5 romeli ori naxatia gamotovebuli?

SemoxazeT swori pasuxi.

16

Tavi 2 ยง1 ricxvi 1 1 SemoxazeT ricxvi 1.

2 5

9 0

1

6

3

10

7 4

2 10

3

5 0 8

miaxateT, rac aklia.

6

4

2 ipoveT 1 gansxvaveba.

8

1 7

9

gamowereT.

1 1 1 1 1 1 1 1 3 daexmareT cxovelebs mividnen sakvebTan.

17

4 gaaferadeT 1 ixvi.

ยง2 ricxvi 2 1 SemoxazeT ricxvi 2.

2 5

9 0

1

6

3

10

7 4

2 10

3

5 0 8

miaxateT, rac aklia.

6

4

2 ipoveT 2 gansxvaveba.

8

1 9

3 SemoxazeT ramdenia.

18

1

2

1

2

1

2

1

2

1

2

1

2

gamowereT.

2 2 2 2 2 2 2 2 gamowereT. + +

+ +

− − − − = =

= =

4 ra ricxvi unda eweros kvadratSi?

1+1=

2−1=

2− =1

1+ =2

5 SeadareT raodenobebi.

metia >

naklebia <

tolia =

19

6 gaaferadeT 2 daTvi.

ยง3 ricxvi 3 1 SemoxazeT ricxvi 3.

2 5

9 0

1

6

3

3

10

2 10

3

5

4

0 8

miaxateT, rac aklia.

6

4

7

2 ipoveT 3 gansxvaveba.

8

1 9

gamowereT.

3 3 3 3 3 3 3 3 3 SemoxazeT ramdenia.

1 20

2

3

1

2

3

1

2

3

4 CasviT saWiro ricxvi cariel ujraSi.

1+2=

3−1=

+1=3

1+1=

3−

+2=3

=1

5 gaaferadeT 3 kalami.

§4 ricxvi 0 1 SemoxazeT ricxvi 0.

2 5 3

0 6

9 1 2

4 7

4

10

3

8

8

0 7

0 1

1

5

10

6

2 gaaferadeT.

9

2 3

gamowereT.

0 0 0 0 0 0 0 0

21

ยง5 ricxvebi 0,1,2,3 1 CawereT ramdenia.

+

=

+

+

=

+

=

2 CawereT ricxvebi cariel grafaSi.

+

=

1

2

3

+

=

+

=

+

+

=

3 CawereT ricxvi cariel ujraSi.

2+

=3

+3=3 1+1= 22

1+

=2

+0=2 1+2=

2+0= +1=3 0+

=2

§6 ricxvi 4 1 SemoxazeT ricxvi 4.

2

4

4 0 5

9 1

6

3

10

7 4

2 10

3

5 0 8

miaxateT, rac aklia.

6

4

2 ipoveT 4 gansxvaveba.

8

1 7

9

gamowereT.

4 4 4 4 4 4 4 4 3 romeli gamosaxuleba Seesabameba mocemul

naxatebs? daakavSireT xazebiT. 2+1

3−1

3+1

4−2

1+2

4−3

2+2

4−1

23

4 CawereT TiToeuli suraTis Sesabamisi

tolobebi.

1+3=4

4−1=3

5 gaaferadeT 4 pepela.

§7 ricxvi 5 1 SemoxazeT ricxvi 5.

2 5

9 0

1

6

3

7 4

2

10 3 1 0

5

10

gamowereT.

5 5 5 5 5 5 5 5 24

6

4

8

7

8

9

2 daxateT mercxali.

3 nimuSis mixedviT gaaferadeT wreebi.

1+4=5 2+3=5

3+2=5

4+1=5

5+0=5

4 gadaxazeT imdeni cxoveli, rom miiRoT swori

toloba da dawereT miRebuli sxvaoba.

5 − 1 =4 5−0=

5−2=

5−5=

5−4=

5 gaaferadeT 5 Wiamaia.

25

ยง8 ricxvebi 0,1,2,3,4,5 1 gaaferadeT vaSlebi.

2 5 0 3 1 4 2 ricxvebi dalagebulia zrdadobiT.

CasviT gamotovebuli ricxvebi.

0

3

2 1

4 2

3 ricxvebi dalagebulia klebadobiT.

CasviT gamotovebuli ricxvebi.

5

2

3 4 26

1 3

meti, naklebi, toli 4 nimuSis mixedviT daakavSireT erTiT met

ricxvTan. 1

0

4

2

3

5

3

3

2

2

4

5

5 daakavSireT erTiT nakleb ricxvTan.

5

4

4

3

2

6 SeadareT <

5 <

3

3

2

4

2

1

=

3

1

1

1

2

1

2

5

5

4

3

4

4

0

2

3

5

5

7 daxateT erTiT

meti oTxkuTxedi.

27

8 daxateT erTiT

meti samkuTxedi.

9 daxateT erTiT

naklebi wre.

§9 ricxvi 6 1 SemoxazeT

2 miiyvaneT qaTami

ricxvi 6.

2 5 3

0 6

wiwilasTan. 9

1 2

4 7

4

10

6 10

3

8

1

5 8

0 7

9

gamowereT.

3 CawereT +, −, = niSnebi.

4 2=6 5 1=4 3+3 6 28

5 2=3 6−0 6 6 1=5

0 3=3 3 3=6 2−1 1

4 nimuSis mixedviT gadaxazeT kurdRlebi da

CawereT swori pasuxi tolobaSi. 6−5=1

6−3=

6−4=

6−1=

6−0=

6−2=

6−6= 5 gaaferadeT 6 mze.

29

ยง10 ricxvi 7 1 SemoxazeT ricxvi 7.

2 5 3

0 6

9 1 2

4 7

4

10

6 10

3

2 SeadareT <

8

1

5 8

0 7

9

<

=

7

2

5

3

6

7

0

7

4

5

2

6

3

0

4

1

1

2

7

6

gamowereT.

3

daiTvaleT bananebis, vaSlebisa da sazamTroebis raodenoba da gaaferadeT Sesabamisi raodenobis ujra xilis gaswvriv.

1 30

2

3

4

5

6

7

−

= +

− =

+

+

=

−

= = =

4 ipoveT jami.

1+4=5

2+4=6

1+6=7

5+1=

4+2=

6+1=

5 gaaferadeT 7 qolga.

§11 ricxvi 8 1 SemoxazeT ricxvi 8.

9

2

8 0 5

1

6

3

4 2

10

6

4 7

2 daxateT qaTami.

10 3 1 0

5 8

7

8

9

31

3 CasviT saWiro ricxvi.

5+3= 1+

=8

+2=8 4+4=

3+

=8

+8=8 2+6= 7+

=8

+5=8 8+0= 4+

+2=8

gamowereT.

8 8 8 8 8 8 8 8 4 daakavSireT Semavsebel figurebTan.

32

=8

5 ipoveT sxvaoba da daakavSireT isini suraTebs

nimuSis mixedviT. 8−5=3 8−6= 8−0= 8−3= 8−1= 8−7= 8−8= 8−4= 8−2= 6 gaaferadeT 8 pepela.

33

§12 ricxvebi 0,1,2,3,4,5,6,7,8 1 dawereT gamosaxulebebi nimuSis mixedviT.

1+2=3 2+1=3 3−2=1 3−1=2

34

+ + − −

= = = =

+ + − −

= = = =

+ + − −

= = = =

+ + − −

= = = =

+ + − −

= = = =

+ + − −

= = = =

+ + − −

= = = =

+ + − −

= = = =

§13 ricxvi 9 1 SemoxazeT ricxvi 9.

9

2

5 3

6 9

10

7 4

2

0

5

7

5 6 3 8 2

4

8

3 1 8

10

momdevno ricxvebi.

6

4

9 0 1

2 dawereT wina da

9

gamowereT.

3 daakavSireT sxivebSi Cawerili ricxvebi

gamosaxulebebis mniSvnelobebs.

5−3= 9−9= 8−5=

7

9−2= 1

6

2 5

8−7=

0

4

9−5=

3 7−2=

9−3= 35

4 gaaferadeT 9 burTi.

ยง14 ricxvi 10 1 SemoxazeT ricxvi 10.

2 5

9 0 1 6

3

4 2

10

7

xazi da gaaferadeT.

6

4 10

3 1 0

5 8

7

2 SeavseT wyvetili

8

9

3 CaxateT peplis marjvena frTaSi imdeni wre,

rom marcxena frTaSi Caxatul wreebTan erTad iyos 10.

36

gamowereT.

10 10 10 10 10 10 10 10 4 CawereT gamotovebuli ricxvi.

10− 10− 10−

=8 =3 =4

10− =10 10− =9 10− =2

10−

=0

10−

=6

10−

=5

10−

=8

10−

=1

10−

=7

37

5 gaaferadeT 10 melia.

ยง15 gameoreba 1 wignSi mocemuli cxrilis mixedviT SeavseT

cxrili. + 0 1 2 3 4 5

38

0 0

1

2

3

4

5

testi 1. ramdenia? SemoxazeT swori pasuxi.

10

8

7

9

2. romelia meti? CawereT Sesabamisi simbolo wreSi.

3. CawereT ujraSi cifri 9.

39