მე მიყვარს მათემატიკა. მოსწავლის რვეული. 1-ლი კლასი

keleri . pfafi

ISBN 978-9941-475-08-5

მოსწავლის რვეული

დაფინანსებულია „მოსწავლეების სახელმძღვანელოებით უზრუნველყოფის პროგრამის“ ფარგლებში

ელფის გამომცემლობა

.

karl-hainc keleri peter pfafi

მოსწავლის რვეული saredaqcio kolegia: germanuli mxare: vibke meieri, hendrik simoni, nina simoni (redaqtorebi); krista miuleri (fsiqologi), kornelia ziberi (konsultanti); Sps tif-eni, berlini / mario kuxinke-hoferi, miriam frici (ilustraciebi); Sps tif-eni, berlini /martin adami (fotoebi); Sps tif-eni, berlini (dizaini). helme haine (sagamomcemlo jgufi `belci~). qarTuli mxare: irma lazaria (mTavari redaqtori); leila kirTaZe (stilist-redaqtori), dali kereseliZe (mTargmneli), TinaTin didebuliZe (proeqtis xelmZRvaneli), naTia mzeqalaSvili (teqnikuri redaqtori), inga lazaria (redaqtori).

გრიფმინიჭებულია საქართველოს განათლებისა და მეცნიერების სამინისტროს მიერ 2018 წელს

yvela ufleba daculia germanuli saavtoro ufleba: © Mildenberger Verlag GmbH Offenburg/Germany, 2016 qarTuli saavtoro ufleba: © elfis gamomcemloba, 2016

ISBN 978-9941-475-08-5 gamocema: pirveli weli: 2018

www.mathematics.elf.ge misamarTi: kartozias q. 8 # Tbilisi 0177 telefoni: (032)2923570 elfosta: office@elf.ge

სახელი, გვარი:

სკოლა:

სასწავლო წელი:

cifrebis/ricxvebis aRmoCena

a b g d e 2

moswavlis wigni gv. 6

b 9

v

z

a

ricxvebis gaferadeba mocemul ferSi.

raodenobis gamosaxva xazebiT

moswavlis wigni gv. 7-9

1

2

1. suraTebis dakavSireba Sesabamisi raodenobis xazebTan.

3

marcxniv da marjvniv | zemoT da qvemoT

moswavlis wigni gv. 10,11

1

2

3

4

5

4

3-5. simbolos gadaadgileba miTiTebuli TanmimdevrobiT da Caxatva samizne ujraSi.

raodenobis gamosaxva xazebiT

1

1. raodenobebis dadgena, gamosaxva xazebiT da aTeulis velSi warmodgena.

moswavlis wigni gv. 13

2

5

ricxvebis warmodgena sxvadasxva modeliT 1

moswavlis wigni gv. 14

daakavSire.

2 0 1 5 4 6 3

2

Caxate da Cawere.

3

Caxate.

8 9

6

1. ricxvis dakavSireba saganTa Sesabamis raodenobasTan. 2,3. gamotovebuli raodenobis Caxatva.

raodenobebis dadgena

moswavlis wigni gv. 15, 16

1

0

1

2

3

3

4

5

6

7

8

9 10

6

7

8

9

3

4

5

6

2

1

2

3

4

6

7

8

9

2

3

4

5

3

4

5

6

7

8

9

10

5

6

7

8

3

4

5

2

3

4

5

6

7

8

9

10

4,5. ricxvis Sesabamisi raodenobis saganTa erTobliobis Caxatva da amis mixedviT davaleba 6-is Sevseba.

7

raodenobis dadgena aTeulis velSi 1

2

3

moswavlis wigni gv. 17

Caxate.

6

7

8

10

gadaxaze.

1

5

0

3

Caxate an gadaxaze.

1

0

10

2

4

9

4

8

1-3. ricxvis Sesabamisi raodenobis rgolebis Caxatva an zedmeti rgolebis gadaxazva.

xazebi da raodenobebi

moswavlis wigni gv. 18, 19

1

2

1

2

3

4

5

2

3

4

5

6

1

2

3

4

5

3

4

5

6

7

1

2

3

4

5

3

4

5

6

7

2

3

4

5

6

1

2

3

4

5

miuxate an gadaxaze.

1. saganTa raodenobis dadgena, Sesabamisi raodenobis ricxvis Semoxazva; mcdaris gadaxazva.

9

ricxvebis Sedgeniloba

moswavlis wigni gv. 22, 23

1

9 +

+

+

2

5

8 +

+

+

+

1+5

2+4

6+3

5+2

+

+

3

4

+

+

5

4+1+2 10

6+2+1 1,2,4. raodenobis gamosaxva ricxvebiT da Cawera SesakrebTa jamis saxiT.

ricxvi 5-isa da 6-is Sedgeniloba

5

1

moswavlis wigni gv. 24, 25

5

2

+

3 +

+

+ 0

+

4 +

+

+ 1

2 + 3

ganagrZe.

6

1

+ + +

6

4

+

+

+

+

+

+

+

+

+

+

+

+

+

6

5

+ 5 6

+

+ 4

+

+

+ 3

+

+

+

2 + 2 +

+ 2

5,6. ricxvis warmodgena SesakrebTa jamis saxiT.

+

11

geometriuli formebi 1

gaaferade

2

daiTvale.

,

,

moswavlis wigni gv. 27

,

4 12

2. erTnairi feris an formis figurebis daTvla da Cawera.

figurebis awyoba da daSla 1

aawyve da daiTvale.

2

daSale sxvadasxvagvarad da daiTvale. pirveli

moswavlis wigni gv. 28, 29

meore

1. figuris awyoba geometriuli formebiT (danarTi 2), raodenobebis Cawera.

13

ricxvi 7-is Sedgeniloba

moswavlis wigni gv. 30

7

1

+ +

2

+

7= 3 +

+

7=

+

7= 5 +

+

7=

+ 6

+ 3

7= 0 +

6

5

3

7

1+

3+

2+

3+

1+

4+

2+

2+

6+

2+ 2 +

4+ 1 +

5+ 1 +

4+ 1 +

2+ 2 +

3+ 2 +

4

14

7=

+

+ 2

7=

+

+ 4

7=

+

+ 3

7=

+

+ 2

7=

+

+ 1

2,3. Sedgenilobis Sevseba da aTeulis velSi warmodgena.

ricxvi 8-is Sedgeniloba

moswavlis wigni gv. 31

8

1

+ + 2

+

8= 4 +

+ +

8=

+ 1

+

8= 6 +

+

8=

+ 3

8= 4 +

3

5

6

7

8

4+

2+

4+

6+

2+

5+

1+

4+

5+

6+

2+

2+

1+ 3 +

1+ 2 +

5+ 1 +

2+ 3 +

1+ 2 +

5+ 1 +

2+ 3 +

4+ 2 +

4

4. aTeulis velis dakavASireba Sesabamis tolobasTan da Sevseba.

8=

+

+ 0

8=

+

+ 4

8=

+

+ 1

8=

+

+ 2

8=

+

+ 3 15

meti – naklebi – toli 1

moswavlis wigni gv. 32, 33

>, < Tu = ?

2

2

9

7

8

5

5

3

4

2 5

5

3

1

4

6

1

7

>, < Tu = ?

3

1

3

4

5

8

10

1

8

8

3

2

4

4

7

2

3

8

4

5

3

3

5

4

6

6

5

2

7

3

3

4

6

4

4

7

9

6

6

8

6

2<

8>

7<

>5

2<

8>

7=

=5

> 6

2<

8>

7>

<5

> 3

16

4 <

4. ricxvis gamosaxva wertilebiT da SedarebaE. 6. utolobis Sevseba.

saxaliso amocanebi Sekrebaze

moswavlis wigni gv. 36

1

3

+

=

+

=

+

=

2

3

4

5

+

=

6

+

=

6. saxaliso amocanis mofiqreba, daxatva, Sesabamisi magaliTis Sedgena da amoxsna.

+

= 17

Sekreba aTeulis velis gamoyenebiT

moswavlis wigni gv. 37, 38

1

2

+

=

+

=

+

=

+

=

Caxate da iangariSe. 4+5=

6+3=

7+1=

5+2=

3

+ 4

=

+

=

iangariSe.

1+5=

3+2=

2+2=

2+4=

4+2=

4+1=

1+3=

8+1=

3+5=

5+4=

5+2=

3+3=

6+1=

1+8=

4+3=

7+1=

5

ganagrZe.

1 + 1 =

3 + 2 =

2 + 2 =

1 + 4 =

1 + 2 =

3 + 3 =

3 + 2 =

2 + 4 =

1 + 3 =

3 + 4 =

4 + 2 =

3 + 4 =

18

+

=

+

=

+

=

+

=

+

=

+

=

+

=

+

=

4. magaliTebis Sedgena aTeulis velis daxmarebiT. 5 kanonzomierebis amocnoba da Sevseba.

magaliTebi Sevsebaze 1

moswavlis wigni gv. 39

SevavsoT 8.

3+

=8

5+

=8

1+

=8

4+

=8

6+

=8

8+

=8

Caxate da Seavse.

2

3

2+

=7

4+

=7

2+

=5

4+

=5

2+

=6

4+

=6

2+

=4

4+

=9

1+

=8

3+

=4

4

5

6

7

5+

=8

3+

=7

+3=5

+3=7

4+

=6

6+

=8

+2=8

+6=7

1+

=7

2+

=4

+4=7

+5=8

3+

=5

6+

=6

+1=6

+2=5

1-3. aTeulis velSi magaliTis warmodgena da amoxsna. 4-7. magaliTebis amoxsna aTeulis velis gamoyenebiT.

19

rigobiTi ricxvebi 10-mde

moswavlis wigni gv. 40, 41

daakavSire.

1

mesame

meore

pirveli

meeqvse

meoTxe

meSvide

mexuTe

mecxre

meaTe

merve

3

2

pirveli

4

gaaferade.

meore

5

mesame

meeqvse

meore

meoTxe

pirveli

mexuTe

meSvide

daajgufe.

pirveli 20

2,3. Sesabamisi rigobiTi ricxvis dasaxeleba. 5. suraTebis Tanmimdevrobis amocnoba da Cawera.

ricxvi 9-is Sedgeniloba

moswavlis wigni gv. 42

1

9

9

+ +

2

+

9= 3 +

+

9=

+

9= 7 +

+

9=

+

+ 1

9= 6 +

+

3

+ 4

6

5

7

8

9

1+

2+

2+

6+

4+

4+

1+

6+

4+

8+

3+

5+

4+

2+

1+

3+ 1 +

4+ 1 +

2+ 4 +

2+ 3 +

7+ 1 +

5+ 0 +

3+ 2 +

7+ 0 +

4+ 1 +

3+ 4 +

4

9=

+

+ 7

9=

+

+ 4

9=

+

+ 6

9=

+

+ 5

9=

+

+ 2

1. ricxvis Sedgenilobis povna da Cawera. 4. aTeulis velis dakavSireba tolobasTan da Sevseba.

21

SesakrebTa gadanacvleba

moswavlis wigni gv. 44, 45

1

1+6=

4 + 3 =

6+1=

+

=

+

=

+

=

+

=

+

=

2

2 + 7 = +

3 + 6 = +

=

2 + 3 = +

=

1 + 8 = +

=

=

3

2+4=

+

=

+

=

4+2=

+

=

+

=

+

=

+

=

+

=

+

=

+

=

+

=

4

1 + 7 = +

5

4 + 5 = +

=

=

2 + 6 = +

=

iangariSe.

1+5=

8+1=

4+3=

2+5=

5+3=

1+6=

5+4=

3+6=

2+6=

2+4=

7+2=

7+1=

3+4=

3+5=

6+1=

1+4=

22

3,4. SesakrebTa gadanacvlebadobis Tvisebis angariSis xerxad gamoyeneba.

saangariSo samkuTxedi

moswavlis wigni gv. 46

1

2 1

3 3

4

3 4

1

6

4 3

3

2 7

2

3 5

2

6 2

2

3

5

3 1

5

4

2

5

6

6 2

1

5

3

3 5

4 2

7

9

3

8

1

9

1

3

2

2 2

1-3. saangariSo samkuTxedebis Sevseba.

3

1 2

23

saxaliso amocanebi gamoklebaze

moswavlis wigni gv. 50

1

8

−

=

−

=

−

=

2

3

4

5

− 24

=

6

−

=

−

=

1-6. saxaliso amocanebis Sedgena gamoklebaze. 6. naxatis daxatva da magaliTis Cawera.

gamokleba aTeulis velis gamoyenebiT

moswavlis wigni gv. 51,52

1

2

−

=

−

=

−

=

−

=

Caxate da iangariSe.

7−5=

8−4=

9−3=

6−2=

3

− 4

=

−

=

iangariSe.

6−5=

7−2=

9−7=

4−1=

3−1=

4−3=

6−2=

3−2=

8−4=

5−4=

8−6=

7−6=

9−6=

8−1=

5−2=

8−2=

5

daasrule.

9 − 1 =

9 − 8 =

5 − 4 =

8 − 2 =

9 − 2 =

8 − 7 =

6 − 3 =

8 − 3 =

9 − 3 =

7 − 6 =

7 − 2 =

8 − 4 =

−

=

−

=

−

=

−

=

−

=

−

=

−

=

−

=

5. kanonzomierebis principis amocnoba, aRwera da magaliTebis dasruleba.

25

ricxvi 10-^is Sedgeniloba | Sevseba 1

10

2

moswavlis wigni gv. 54, 55

10

3

10

+ 3

5 +

+ 1 + 2 + + 2 + 3 +

+ 1 +

+ 8

+ 3 + 4 +

+ 2 +

6 +

+ 4 + 5 +

+ 3 +

+ 9

+ 5 + 3 +

+ 4 +

0 +

+ 2 + 6 +

+ 5 +

+ 6

+ 1 + 3 +

+ 6 +

10 +

+ 4 + 2 +

+ 7 +

+ 7

+ 1 + 1 +

+ 8 +

9 +

+ 0 + 1 +

+ 9 +

+ 2

+ 10 +

0 +

4

3+

= 10

5+

= 10

6+

= 10

2+

= 10

8+

= 10

7+

= 10

5

6

1+

= 10

9+

= 10

+ 8 = 10

+ 2 = 10

4+

= 10

3+

= 10

+ 3 = 10

+ 6 = 10

8+

= 10

5+

= 10

+ 4 = 10

+ 5 = 10

7+

= 10

6+

= 10

+ 9 = 10

+ 7 = 10

26

5-6. SesakrebTa gadanacvlebadobis Tvisebis gamoyenebiT magaliTebis amoxsna.

moqmedebaTa urTierTSebrunebuloba

moswavlis wigni gv. 56, 57

1

9−

=

−

=

−

=

5+

=

+

=

+

=

2

6 − 3 = +

8 − 2 = +

=

7 − 7 = +

=

=

3

2 + 3 = −

7 + 2 = −

=

4 + 5 = −

=

4

=

5

9 − 3 =

4 + 3 =

+ 3 =

−

7 + 1 = −

+

=

6 − 2 = +

=

6

8 − 5 =

1 3

+

=

8 5 2

7 4 6

2

7

2 9

1

5 2

3

=

5 + 4 = −

=

=

5

8

4 7

−

=

6 − 1 =

5 6 0

4 + 2 =

5 10 0

3 4

7

4

2

2 1 5 8

9 3

3

4

3

6 0

8

4-7. magaliTebisa da maTi Sebrunebuli magaliTebis amoxsna. saangariSo borblebis Sevseba.

2 3

1 4

2 2

27

magaliTebis ojaxebi

moswavlis wigni gv. 59

1

4

2

2

6

+

=

+

=

−

=

−

=

2

7

2

9

3

8

3

+ = + = – = – = 5

6

4

6

10

8

10

+ = + = – = – =

ipove magaliTebis ojaxebi.

3

+ = + = – = – = 28

1

+ = + = – = – =

+ = + = – = – = 4

5

7

6

2

+ = + = – = – =

4

+ = + = – = – =

9

+ = + = – = – =

1-4. sami ricxvisgan yvela SesaZlo magaliTis Sedgena.

saangariSo kedeli

moswavlis wigni gv. 62,63

1

8 3

6

3

2

4

5

8

2

10

3

5

2

2

1

2

3

5

2

1

2

2

2

3

+2=

+3=

+4=

−4=

−6=

−5=

4

+

= 10

−

=6

+

=7 29

ricxvebi 20-mde | mezobeli ricxvebi 1

moswavlis wigni gv. 64, 65

Cawere gamotovebuli ricxvebi.

1

6

9

14

16 17

ipove wina da momdevno ricxvebi. gaaferade ujrebi ricxviTi mwkrivis Sesabamisad.

2

7

5

19

6

14

3 3

10

4

18

romeli ricxvebi aklia? Seavse.

3

5

12

20 5

4 13

4 16

daalage.

8

6

15

17

8 9 18 4

11

11 17

9

daakavSire wertilebi erTmaneTTan. 11

12 13 17

14

10 9

15

8

6

30

16 4

7

19

18

5

3

2

20 1

4. ricxviT Tokze ricxvebis zrdis mixedviT dalageba. 6. wertilebis SeerTeba zrdis mixedviT.

rigobiTi ricxvebi 20-mde

moswavlis wigni gv. 66

mesame meore pirveli

gamonabolqvi azianebs garemos!

1

pirveli

2

gaaferade pirveli davalebis manqanebi miTiTebul ferebSi. meore, merve, meTormete, meCvidmete

meoTxe meTerTmete, meToTxmete, meoce.

3

mesame, meSvide, meTxuTmete, meTeqvsmete

pirveli, meeqvse, meaTe, mecxramete.

mexuTe, mecxre, mecamete, meTvramete

gadaxti ricxvebis mwkrivSi da ganagrZe.

1

2

3

4

5

6

7

8

9 10 11 12 13 14 15 16 17 18 19 20

1

2

3

4

5

6

7

8

9 10 11 12 13 14 15 16 17 18 19 20

1

2

3

4

5

6

7

8

9 10 11 12 13 14 15 16 17 18 19 20

ganagrZe. gamoiyene ricxviTi mwkrivi.

2, 4, 6, 4

20, 17, 14, 1, 6, 21, 18, 15, 1. manqanebis dajgufeba rigobiT ricxvebTan da Cawera.

31

aTeuli da erTeuli

moswavlis wigni gv. 68

1

10

+ 4 aT.

10

+

erT.

+ 2 aT.

+

10

= =

+

aT.

10

= erT.

+ 7

=

= erT.

+ 6 aT.

+

=

= erT.

=

2

+ aT.

+

= erT.

+ aT.

+

= 15

aT.

erT.

+ 3 aT.

10

+

= 18

aT.

+ 6 aT.

10

+

+

+

1

aT.

= erT.

+ 7 aT.

=

=

=

+ 6

= erT.

+

1

aT.

= erT.

= 19

+ 5 +

1

=

+

erT.

= 20

5

= erT.

erT.

+

4

10

=

+

=

3

32

+

aT.

= =

erT.

20 aT.

20

= =

+ 7 erT. =

+ 1 +

= erT.

+ 3 aT.

20

+

= erT.

+ 4 aT.

+

=

= =

erT.

=

3-5. ricxvebis aTeulisa da erTeulis saxiT warmodgena.

ricxvebis Sedareba | angariSi 20-mde

moswavlis wigni gv. 69

1

10 +10 10 + 9

20

19

>, < Tu =?

13 > 12

18

2

3

15

15

10 + 5

12

17

10 + 6

15

19

6

16

10 + 8

17

10

10 + 9

11

20

14

4

10 + 2

12

18

10 + 7

4

5

10 + 8 =

6 + 10 =

4+

= 14

10 +

= 20

10 + 2 =

3 + 10 =

7+

= 17

10 +

= 12

10 + 5 =

9 + 10 =

1+

= 11

10 +

= 16

6

7

13 −

= 10

12 −

= 10

− 2 = 10

− 8 = 10

19 −

= 10

18 −

= 10

− 5 = 10

− 3 = 10

20 −

= 10

17 −

= 10

− 7 = 10

− 9 = 10

8

10 + 1 =

19 − 9 =

10 +

= 17

− 1 = 10

10 + 2 =

18 − 8 =

10 +

= 16

− 2 = 10

10 +

=

17 −

=

10 +

= 15

− 3 = 10

+

=

−

=

+

=

−

= 10

+

=

−

=

+

=

−

= 10

2-7. angariSi SesaZlebelia svetebis an kubikebis daxmarebiTac. 8. kanonzomierebis amocnoba da Sevseba.

33

aTeuli da erTeuli _ grovebi

moswavlis wigni gv. 70, 71

+

=

+

=

eE rTeuli

aTeuli

=

eE rTeuli

=

eE rTeuli

aTeuli

eE rTeuli

+

+

aTeuli

=

=

eE rTeuli

+

+

aTeuli

=

aTeuli

+

eE rTeuli

aTeuli

1

+6=

aTeuli

eE rTeuli eE rTeuli

eE rTeuli

10 + 9 =

aTeuli

+

=

eE rTeuli

5

eE rTeuli

4

aTeuli

3

aTeuli

= 17

+

34

aTeuli

eE rTeuli

aTeuli

2

+

=

1,3,4. grovebis aTeulebad Semoxazva, Sedegebis Setana Tanrigebis cxrilSi, magaliTebis Cawera.

fuli 1

moswavlis wigni gv. 76-79

ramdeni TeTria?

TeTri 2

TeTri

lari

lari

ramdeni laria?

lari 3

TeTri

daalage da Caxate.

16 lari

lari 11 lari

lari

7 lari 5 lari

9 lari

lari

1,2. fulis raodenobis amocnoba. 3. calkeuli nivTebisTvis saWiro monetebisa da banknotebis Caxatva.

35

analogiuri magaliTebi Sekreba-gamoklebaze 1

jer aTeulSi iangariSe.

12 + 4 =

16 + 3 =

+

=

2+4=

6+3=

+

=

15 + 3 =

11 + 6 =

+ 2

+

=

=

+

=

16 − 3 =

19 − 4 =

−

=

6−3=

9−4=

−

=

19 − 8 =

18 − 3 =

13 + 5 = +

−

=

3

jer aTeulSi vangariSob.

+

16 − 4 = −

=

17 − 6 =

=

−

15 + 4 =

=

19 − 7 =

=

−

=

=

14 + 3 = +

=

13 + 2 = +

=

+

=

ipove msgavsi magaliTi. +

=

3 + 4 = +

=

5 + 3 = 36

17 + 2 =

jer aTeulSi iangariSe.

−

4

moswavlis wigni gv. 82, 83

−

=

8 − 4 = −

=

6 − 2 =

5 + 1 = +

=

4 + 4 =

4. yoveli magaliTisTvis analogiuri magaliTis povna da orives amoxsna.

mezobeli magaliTebi 1

3

moswavlis wigni gv. 84, 85 2

5+3=

9−5=

5+4=

8−5=

8−2=

6+2=

8−3=

7+2=

3+4=

6−3=

3+3=

7−3=

7−2=

4+5=

7−1=

3+5=

iangariSe aTeulis velis daxmarebiT.

8−2=

4+6=

8−4=

3+5=

8−3=

4+5=

7−4=

4+5=

4

0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24

5+2=

15 + 4 =

5+3=

16 + 4 =

0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24

5

8−3=

17 − 4 =

9−3=

17 − 5 =

iangariSe ricxviTi sxivis daxmarebiT.

12 + 5 =

9−6=

6+3=

17 − 4 =

12 + 6 =

8−6=

6+2=

18 − 4 =

4+2=

19 − 3 =

13 + 3 =

8−5=

4+3=

19 − 2 =

12 + 3 =

9−5=

6

1-5. magaliTebis amoxsna aTeulis velisa da ricxviTi sxivis daxmarebiT.

37

mdebareoba | saangariSo cxrilebi

moswavlis wigni gv. 86, 87

1

2

+

4

5

6

+

2 12

4

5

6

+

3 2

3

4

5

4

5

6

5 15

3

−

5

6

7

−

8 18

6

7

8

−

8 9

5 15

4

2

+

4

3

−

4 7

6 38

17 10

3 13

5 13 13

6

+

12 13

2

3

4 15 17 18

1. obieqtis mdebareobis gansazRvra da cxrilSi `~-iT aRniSvna. 2-4. saangariSo cxrilebis Sevseba.

gaormageba | ganaxevreba

moswavlis wigni gv. 90-91

1

3+3=

7+

2

=

3

+

â&#x20AC;&#x2030;

+

=

â&#x20AC;&#x2030;

+

=

4

= 10

= 18

+

5

6=3+

10 =

6

7

= 9

14 =

+

+

8

+

+

=

=

+

Seavse cxrili.

velosipedebi borblebi

1 2

3

8

6 8

10

2 14

9

20

1-4. gaormagebis Sevseba, magaliTebis Cawera. 5-7. magaliTebis mixedviT Sua gamyofi xazis gavleba.

39

luwi da kenti ricxvebi

moswavlis wigni gv. 92

daalage ricxvebi.

1

11

6

2

17

14

16

12

8

10

3

20

7

1

19 15

luwi ricxvebi

2, kenti ricxvebi 2

kentia Tu luwi?

6

3

TanmimdevrobiT daakavSire jer luwi, Semdeg ki kenti ricxvebi.

20

18 16

1 3

14 6 12

10 8 2

11

4

5

15

5 7

9 11

3

15 13

40

17

1

14

8

7

19 17

10

13

9

6 2 19

4

12

16

18 20

2. luwi raodenobis ujrebis gaferadeba mwvaned, kenti raodenobis â&#x20AC;&#x201C; wiTlad.

mimateba 20-is farglebSi 1

iangariSe gigis msgavsad.

9+

2

moswavlis wigni gv. 93-96

7

=

4+

8

=

8+

6

=

9+ 1 + 6 =

4+

+

=

8+

+

=

7+

5

=

6+

7

=

5+

9

=

7+

+

=

6+

+

=

5+

+

=

iangariSe gigis msgavsad.

5 +

7

5 + 5 + 2 = 6 +

9

=

+

+

=

10

=

+

=

3 + +

7

=

5

+

8 +

4

=

4

+

+

=

+

9 +

5

=

+

+

=

7 +

6

=

+

+

=

2

+

+

+

+

iangariSe sesilis msgavsad.

3

4

5+5=

7 + 7 =

10 + 6 =

5+6=

+ 7 =

+ 6 =

5+7=

9 + 7 =

8 + 6 =

5

5 + 10 = 5 +

=

5 + 8 =

Sen rogor angariSob?

8+7=

4+9=

5+6=

9+9=

4+8=

5+8=

7+7=

9+8=

9+3=

6+7=

9+4=

6+5=

6+6=

9+5=

8+3=

7+4=

1-5. angariSis sxvadasxva xerxis gamoyeneba.

41

gamokleba 20-is farglebSi 1

iangariSe maris msgavsad.

12 −

2

7

=

13 −

8

=

15 −

9

=

12 − 2 − 5 =

13 −

−

=

15 −

−

=

14 −

6

=

11 −

5

=

17 −

9

=

14 −

−

=

11 −

−

=

17 −

−

=

iangariSe maris msgavsad.

13 −

7

7

=

13 − 3 − 4 = 14 −

5

=

−

−

=

3

3

+

15 −

8

=

−

−

=

12 −

6

=

−

−

=

4

+

+

+

iangariSe anas msgavsad.

12 − 7 = 7+

14 − 6 =

= 12

6+

15 − 6 = + 4

moswavlis wigni gv. 97-99

17 − 9 =

= 14

+

13 − 8 = +

=

=

12 − 5 = +

=

=

Sen rogor angariSob?

13 − 6 =

15 − 7 =

11 − 9 =

16 − 9 =

14 − 8 =

17 − 9 =

16 − 7 =

13 − 8 =

11 − 4 =

12 − 6 =

13 − 4 =

12 − 3 =

42

1-4. angariSis sxvadasxva xerxis gamoyeneba.

magaliTebi Sekrebasa da gamoklebaze

moswavlis wigni gv. 100

amoxseni magaliTebi da gamoicani winadadeba.

1

1 2 c l

3 s

4 m

5 q

6 n

7 u

8 e

9 a

10 11 12 13 14 15 o v b x i d

15 − 6 =

15 − 8 =

15 − 14 =

12 − 7 =

10 + 5 =

15 − 2 =

11 − 9 =

13 − 4 =

18 − 8 =

4 + 4=

8 + 4=

6+ 5=

15 − 11 =

20 − 14 =

16 − 8 =

7 + 7=

5 + 5=

10 − 8 =

13 − 10 =

9+ 5= 18 − 9 =

.

2

3 12

8

17 8

9

7

12

6

7 13

3

4

+

3 4 5

6

7

8

9

15

5

−

7 12 16

8

7

6

5

+

7 8

1-3,5. saangariSo samkuTxedebisa da cxrilebis Sevseba. 4. Sevseba da Secdomis povna.

6 12

8

9

15 43

gamoyenebiTi angariSi

moswavlis wigni gv. 101

yovelTvis 12 TeTri.

1

9 T. +

T. = 12 T

18 T. −

T. = 12 T

3 T. +

T. = 12 T.

yovelTvis 8 TeTri.

2

T. −

T. = 8 T

T. +

T. = 8 T.

T. −

T. = 8 T

+

= 14

yovelTvis 19

3

+

= 14

20

−

= 14

4 3

4

2

1

44

1,2. monetebis Sesabamisad damateba (Caxatva) an mokleba (gadaxazva) da magaliTebis Cawera.

gamoyenebiTi angariSi

5

3

1

moswavlis wigni gv. 102, 103

4

2

6

12

7

ra Rirs?

2

Rirs 2

Rirs

lari.

Rirs

lari.

risi yidva SegiZlia? Caxate.

Rirs 3

lari.

lari.

Rirs 10 lari.

Rirs 20 lari.

ramdenis yidva SegiZlia?

3

5

saTlelis.

saRebavebis yuTis.

1. fulis raodenobebis Caxatva, Sekreba da jamis Cawera. 2. Sesabamisi sagnebis Caxatva, jamis Cawera.

45

Sekrebis cxrili | mezobeli magaliTebi 0

+

1

2

3

4

5

6

mosw. wigni gv. 108, 109

7

8

9

10

0 1 2 3 4 5 6 7 8 9 10 sad weria magaliTebi? gaaferade Sesabamisi ujrebi, iangariSe da Sedegebi Cawere cxrilSi. 1

2+5=

4+3=

8+7=

6+1=

8+3=

10 + 5 =

6+9=

4+7=

ipove mezobeli magaliTebi, iangariSe da Sedegebi Cawere.

2

1 + 9 =

2

3

+

9

=

46

=

+

=

+

=

3 + 8 =

+

=

+

=

+

=

+

=

+

=

+

=

+

=

6 + 4 =

7 + 6 =

+

=

ipove mezobeli magaliTebi, iangariSe da Sedegebi Cawere.

3 + 3 =

4

+

3

+

4

=

+

=

+

=

+

=

+

=

+

=

+

=

7 + 2 =

+

=

+

=

Seitane gamotovebuli Sedegebi cxrilSi.

9 + 8 =

mezobeli magaliTebi gamoklebis cxrilSi 0

−

1

2

3

4

5

6

moswavlis wigni gv. 110

7

8

9

10

20 19 18 17 16 15 14 13 12 11 10 sad weria magaliTebi? gaaferade Sesabamisi ujrebi, iangariSe da Sedegebi Cawere cxrilSi. 1

2

15 − 7 =

12 − 8 =

19 − 3 =

14 − 6 =

18 − 7 =

17 − 2 =

16 − 4 =

13 − 9 =

ipove mezobeli magaliTebi, iangariSe da Sedegebi Cawere.

15 − 4 =

14

3

−

4

=

=

−

=

−

=

18 − 6 =

−

=

−

=

17 − 9 =

−

=

−

=

−

=

−

=

−

=

−

=

13 − 5 =

ipove mezobeli magaliTebi, iangariSe da Sedegebi Cawere.

11 − 3 =

4

−

−

=

−

=

11

− −

4

= =

18 − 3 =

−

=

−

=

20 − 8 =

−

=

−

=

−

=

Seitane gamotovebuli Sedegebi cxrilSi. 47

gamoyenebiTi angariSi

moswavlis wigni gv. 112

1

kote yidulobs

7

lari

darCa

lari.

darCa

lari.

darCa

lari.

darCa

lari.

2

nana yidulobs

8

5

lari 3

vaso yidulobs

12

3

lari 4

ana yidulobs

3 8

lari 48

1

1-4. situaciebis gaTamaSeba saTamaSo fuliT; darCenili Tanxis daxatva; raodenobebis Cawera.

gamoyenebiTi angariSi 1

moswavlis wigni gv. 113 2

9

16

2 0 2 mekuTvnis

lari.

3

mekuTvnis

lari.

4

14

mekuTvnis

6

lari.

5

mekuTvnis

lari.

6

11

mekuTvnis

13

lari.

7

mekuTvnis

lari.

8

12

mekuTvnis 3 lari.

6

mekuTvnis 14 lari.

1-6. situaciebis gaTamaSeba saTamaSo fuliT, angariSis Cawera. 7,8. banknotebis Caxatva, angariSis Cawera.

49

erTi dRe saaTTan erTad 1

2

50

moswavlis wigni gv. 114, 115

romeli saaTia suraTebze?

9 saaTia.

saaTia.

saaTia.

saaTia.

saaTia.

saaTia.

daxate Sesabamisi drois maCvenebeli isari.

Tavsatexebi

ras niSnavs ? = 10 = 5 = 1 ese igi 10 + 5 + 1 + 1+ 1 = 18 = G

1

2

ra weria wignze? gamoicani. miniSneba: 18 = s gaSifre saidumlo Setyobineba.

1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33

a b g d e v z T i k l m n o p J r s t u f q R y S C c Z w W x j h 51

cifri 1 1

erTi

2

52

cifri 2 1

ori

2

53

cifri 3 1

sami

2

54

cifri 4 1

1

2

2

oTxi

44

44 44 44 44 4 4 4 4 4 4 4 4

55

cifri 5 1

1 2

xuTi

2

56

cifri 6 1

eqvsi

2

57

cifri 7 1

1

Svidi 2

2

58

cifri 8 1

rva

1 2

2

59

cifri 9 1

cxra

2

60

cifri 0 1

nuli

2

00

00 00 00 00 0 0 0 0 0 0 0 0

61

laris simbolo 3

4

2

1

lari

62

1

1

1

1

0

0

0

0

2

2

2

2

3

3

3

3

4

4

4

4

5

5

5

5

6

6

6

6

7

7

7

7

8

8

8

8

9 10 11 12 13 14 15 16 17 18 19 20 21 22

9 10 11 12 13 14 15 16 17 18 19 20 21 22

9 10 11 12 13 14 15 16 17 18 19 20 21 22

9 10 11 12 13 14 15 16 17 18 19 20 21 22

danarTi 1: ricxviTi sxivi

63

danarTi 2: geometriuli dafa

danarTi 3: fuli