Friday, August 15, 2014

I კლასი- მათემატიკა

  
Tbilisis me-10 sajaro skola
silabusi
(2011-2012 sasw. weli)
sagani _maTematika
klasi _ I
maswavlebeli _marine beJaniSvili

sagnis Sesaxeb:

-----maTematikis sagani xels uwyobs bavSvebSi maTematikuri azrovnebis ganviTarebas, rac aris Sedarebis, sistematizirebis, klasificirebis, ganzogadebis, Sejamebis, daskvnebis gamotanis unari. am tipis azrovnebis ganviTareba dakavSirebulia maTematikuri cnebebis dauflebasTan da aqedan gamomdinare metyvelebis ganviTarebasa da sametyvelo leqsikonis gamdidrebasTan, rac gansakuTrebiT saWiroa I klaselisaTvis. -------
swavlebis am safexurze Cveni mizania:
------20-fargalSi erTmaneTs Seusabamos ricxvebi, ricxviTi saxelebi da raodenobebi, gamoiyenos rigobiTi ricxviTi saxelebi, Seasrulos Sekreba-gamoklebis moqmedebebi, Seadaros da Seafasos raodenobebi, ganavrcos sagnebis perioduli ganlageba,SeZlos brtyeli geometriuli figurebis amocnoba da aRwera.D
semestruli datvirTva:



sul:            saaTi
I semestri

II semestri
       saaTi


    saaTi






                                                           I semestri


TariRi

gakveTili #
Tema
aqtivobebi (davalebebi, savarjiSoebi, RonisZiebebi...)
ra ecodineba da SeeZleba moswavles
(kavSiri erovn. sasw. gegmis SedegebTan)
saswavlo resursi
Sefaseba
SeniSvna








gv.10-15
1-5
ramdenia? davTvaloT imdenive. meti. naklebi

5 sT


  1. gacnoba; Tvla
  2. TamaSi;
  3. saxelmZRvanelos gacnoba-daTvaliereba;
  4. sxvadasxva figurebis Sedareba;          
  5. Sejameba
saganTa raodenobis dadgena Tvlis gamoyenebiT da mis gareSe saganTa dawyvilebis xerxiT Sedareba(1.2-1.4)
magnituri dafa;
saxelmZRv.
carci; dafa;
magnitebi;
Cxirebi;
kuburebi

ganmaviTarebeli
komentari
wamaxalisebeli Seqeba







gv.16-18
6-8
romelia pirveli?
wina, momdevno

3 sT

1.        Tvla;
2.       magnituri dafa-savarjiSoebi;
3.       TamaSi;
4.       saxelmZRvaneloze muSaoba;
5.       wera;
6.       kuburebis ganlageba;
7.       Sejameba 


     



sagnebis rigSi ganTavsebis unari. wina da momdevno.(1.5)
magnituri dafa;
saxelmZRv.
carci; dafa;
magnitebi;
Cxirebi;
kuburebi

ganmaviTarebeli
komentari
wamaxalisebeli Seqeba






gv.19-21
9-11
zemoT, qvemoT,marjvniv,
marcxniv
3 sT

1.        gonebrivi ieriSi;
2.       savarjiSoebi dafidan;
3.       marjvena-marcxena;
4.       qvemoT-zemoT;
5.       TamaSi;
6.       saxelmZRvaneloze muSaoba;
7.       wera;
8.       kuburebis ganlageba;
9.       Sejameba 


obieqtTa urTierTmdebareobis amocnoba(1.7)
magnituri dafa;
saxelmZRv.
carci; dafa;
magnitebi;
Cxirebi;
kuburebi

ganmaviTarebeli
komentari
wamaxalisebeli Seqeba







gv.22-24
12-13
metia, naklebia, ramdeniT?
2 sT



1.  gonebrivi ieriSi savarjiSoebi dafidan;

2         grovebis Sedareba;
3         TamaSi;
4         saxelmZRvaneloze muSaoba;
5         wera;
6         Sejameba

Tvlis gamoyenebiT an dawyvilebiT Sedareba(1.2-1.4)
magnituri dafa;
saxelmZRv.
carci; dafa;
magnitebi;
Cxirebi;
kuburebi

ganmaviTarebeli
komentari
wamaxalisebeli Seqeba





gv.26-27
14-15
erTi, erTze meti
2 sT
1.  Tvla;
2.  ricxvi-1;                 
              
3.       moxazuloba
4.       TamaSi;
5.       saxelmZRvaneloze muSaoba;
6.       wera;
7.       Sejameba



raodenobis Sesabamisi ricxvis dasaxeleba 1-is wera, 1-ze meti raodenobis miTiTeba(1.1)
magnituri dafa;
saxelmZRv.
carci; dafa;
magnitebi;
Cxirebi;
kuburebi

ganmaviTarebeli
komentari
wamaxalisebeli Seqeba



gv.28-30
16-17
1,2  (2 sT)
     1.  .  gonebrivi    ieriSi;
2.  savarjiSoebi dafidan;
    ricxvi-2        
TamaSi;
  1. saxelmZRvaneloze muSaoba;
  2. wera;
  3. Sejameba

ricxvebis Cawera-wakiTxva(1.1)

magnituri dafa;
saxelmZRv.
carci; dafa;
magnitebi;
Cxirebi;
kuburebi

ganmaviTarebeli
komentari
wamaxalisebeli Seqeba









gv.31-32

18-20                            
1,2,3
3sT                                





.  Tvla;
.  ricxvi-3                 
             
moxazuloba
TamaSi;
saxelmZRvaneloze muSaoba;
       wera;
       wybilebSi muSaoba
      Sejameba
mocemuli ricxvis raodenobis miTiTeba, romelSic 1,2,3 sagania, Cawera-wakiTxva(1.1) wina da momdevno(1.2)
suraTebi
magnituri dafa;
saxelmZRv.
carci; dafa;
magnitebi;
Cxirebi;
kuburebi

ganmaviTarebeli
komentari
wamaxalisebeli Seqeba








gv.33-35

21-23
davumatoT, gamovakloT

3sT

       gonebrivi ieriSi;
savarjiSoebi dafidan;
   ricxviTi kibe;
   saxelmZRvaneloze muSaoba;
       wera;
       wybilebSi muSaoba
      Sejameba
damatebis da gamoklebis dakavSireba TvlasTan, an raime modelTan(1.3)
formati;
ricxviTi kibe;
magnituri dafa;
saxelmZRv.
carci; dafa;
magnitebi;
Cxirebi;
kuburebi

ganmaviTarebeli
komentari
wamaxalisebeli Seqeba






gv.36-37

24-25
samkuTxedi

2sT

Tvla;
sxvadasxva formis samkuTxedebi;
Semadgeneli elementebi;
jgufuri muSaoba
      Sejameba
samkuTxeds amoicnobs, aRwers, asaxelebs wveroebis raodenobas(1.6)
muyao;
makrateli;
feradi fanqrebi;
ganmaviTarebeli
komentari
wamaxalisebeli

Seqeba

prezentacia






gv.38-39

26-27
1,2,3,4

2sT

Tvla-ukuTvla;
.  ricxvi-4                 
grovebi;             
moxazuloba;
TamaSi;
saxelmZRvaneloze muSaoba;
       wera;
       wyvilebSi muSaoba;
      Sejameba


grovis miTiTeba, sadac 1,2,3 an 4 sagania, Cawera-wakiTxva(1.1)
magnituri dafa;
saxelmZRv.
carci; dafa;
magnitebi;
Cxirebi;
kuburebi

ganmaviTarebeli
komentari
wamaxalisebeli Seqeba








gv.40-41

28-29
mivumatoT-gamovakloT

2sT


       gonebrivi ieriSi;
savarjiSoebi dafidan;
   ricxviTi kibe;
   saxelmZRvaneloze muSaoba;
       wera;
       wyvilebSi muSaoba
      Sejameba
TvlasTan da modelTan dakavSirebiT 4-is farglebSi mimateba-gamokleba (gazrda-Semcireba) (1.3)
magnituri dafa;
saxelmZRv.
carci; dafa;
magnitebi;
Cxirebi;
kuburebi

ganmaviTarebeli
komentari
wamaxalisebeli Seqeba


gv.42-43





gv44-45
30-31
oTxkuTxedi, wre 

32-33
1,2,3,4,5

2sT



 Tvla-ukuTvla; oTxkuTxedis da wris elementebi;
.  ricxvi-5                 
grovebi;             
moxazuloba;
TamaSi;
saxelmZRvaneloze muSaoba;
       wera;
      Sejameba       jgufuri muSaoba;

aRwers da amoicnobs wres da oTxkuTxeds (1.6) im grovis miTiTeba, romelSic 1, 2, 3 an 4 sagania. ricxvebis Cawera da wakiTxva(1.1)

muyao;
makrateli;
feradi fanqrebi;


 magnituri dafa;
saxelmZRv.
carci; dafa;
magnitebi;
Cxirebi;
kuburebi

ganmaviTarebeli
komentari
wamaxalisebeli Seqeba
prezentacia






gv.46-47

34-35
xuTkuTxedi

2sT

  gonebrivi ieriSi;
savarjiSoebi dafidan;
geometriuli figurebi;
xuTkuTxedis nawilebi;
 jgufuri muSaoba;

amoicnobs xuTkuTxeds, aRwers da asaxelebs elementebs(1.6)
geometriuli figurebi;

magnituri dafa;
saxelmZRv.
carci; dafa
ganmaviTarebeli
komentari
wamaxalisebeli Seqeba
prezentacia








gv.48-49
36-38
viyenebT maTematikur niSnebs<, >, =

3sT



grovebis Sedareba;
sxvadasxva savarjiSoebi;
niSnebi<, >, =
saxelmZRvaneloze muSaoba;
       wera;
      Sejameba      
ricxvebisa da gamosaxulebis Sedareba metobisa da naklebobis niSnis gamoyenebiT. tolobisa da utolobis cnebebis aRwera(1.3), (1.4)
magnituri dafa;
saxelmZRv.
carci; dafa;
magnitebi;
Cxirebi;
kuburebi

ganmaviTarebeli
komentari
wamaxalisebeli Seqeba





gv.50-51
39-40

mravalkuTxedebi

2sT


geometriuli figurebi;
jgufuri muSaoba;
Sejameba
yofiT sagnebSi sxvadasxva saxis mravalkuTxedis amocnoba, dasaxeleba, aRwera(1.6)
geometriuli figurebi;

magnituri dafa;
saxelmZRv.
carci; dafa;
magnitebi;
Cxirebi;
kuburebi

ganmaviTarebeli
komentari
wamaxalisebeli Seqeba
prezentacia






gv.52-55

41-43
davumatoT, gamovakloT

3sT

  gonebrivi ieriSi;
savarjiSoebi dafidan;
geometriuli figurebi;
saxelmZRvaneloze muSaoba;
       wera;
      Sejameba    
5-is farglebSi damatebis da gamoklebis Sedegis aRwera sxvadasxva konteqstSi(1.3)
geometriuli figurebi;

magnituri dafa;
saxelmZRv.
carci; dafa
ganmaviTarebeli
komentari
wamaxalisebeli Seqeba







gv.56-61
44-47
1,2,3,4,5,6,7 

4sT,



.  ricxvi-6 da 7;                 
grovebi;             
moxazuloba;
TamaSi;
saxelmZRvaneloze muSaoba;
       wera;
     wyvilebSi muSaoba;
          Sejameba      
raodenobis Sesabamisoba ricxvTan. sagnis rigis
 miTiTeba,ricxvebis
Cawera da wakiTxva
magnituri dafa;
saxelmZRv.
carci; dafa;
magnitebi;
Cxirebi;
kuburebi

ganmaviTarebeli
komentari
wamaxalisebeli Seqeba






gv.62-66

48-51
1,2,3,4,5,6,7,8,9

4sT
.  ricxvi-8 da 9;                 
grovebi;             
moxazuloba;
TamaSi;
saxelmZRvaneloze muSaoba;
       wera;
     wyvilebSi muSaoba;
     Sejameba
raodenobis Sesabamisoba ricxvTan. ricxvebis Cawera da wakiTxva, 9-is farglebSi Sekreba-gamokleba(1.1, 1.3)
magnituri dafa;
saxelmZRv.
carci; dafa;
magnitebi;
Cxirebi;
kuburebi

ganmaviTarebeli
komentari
wamaxalisebeli Seqeba








gv.67-69
52-54
wina ricxvi, momdevno ricxvi



3sT



 gonebrivi ieriSi; savarjiSoebi dafidan;wina ricxvi, momdevno ricxvi;
saxelmZRvaneloze muSaoba;
       wera;
Sejameba
     

wina da momdevno ricxvis dasaxeleba, TvlasTan, SekrebasTan dakavSireba
(1.2)

magnituri dafa;
saxelmZRv.
carci; dafa;
magnitebi;
Cxirebi;
kuburebi

ganmaviTarebeli
komentari
wamaxalisebeli Seqeba






gv.70-71
55-56
SevadaroT mimdevrobebi



2sT
gonebrivi ieriSi; savarjiSoebi;
figurebis ganlageba rigSi; mimdevrobis Sedareba;
saxelmZRvaneloze muSaoba;
wera
Sejameba
erTnairi sagnebiT warmodgenili ori mimdevrobis Sedareba, ganlagebis wesis Sedareba(1.5)
magnituri dafa;
saxelmZRv.
carci; dafa;
magnitebi;
Cxirebi;
kuburebi

ganmaviTarebeli
komentari
wamaxalisebeli Seqeba







gv.72-73

57-58

SevavsoT mimdevrobebi


2sT
saganTa Sedareba(forma, feri)
savarjiSoebi;
figurebis ganlageba rigSi; mimdevrobis Sedareba; Sevseba;
saxelmZRvaneloze muSaoba;
wera
Sejameba

mocemuli fragmentis mixedviT mimdevrobis Ria poziciis Sevseba (1.5)
geometriuli figurebi;

magnituri dafa;
saxelmZRv.
carci; dafa
ganmaviTarebeli
komentari
wamaxalisebeli Seqeba




gv74-78


59-61
gaizarda Tu Semcirda?
3sT



gonebrivi ieriSi; savarjiSoebi;
saxelmZRvaneloze muSaoba;
wera
Sejameba





Sekreba-gamoklebis demonstrireba, gansxvavebis aRniSvna(1.3)

magnituri dafa;
saxelmZRv.
carci; dafa;
magnitebi;
Cxirebi;
kuburebi

ganmaviTarebeli
komentari
wamaxalisebeli Seqeba







gv.79-82
62-64

1,2,3,4,5,6,7,8,9,10 -

3sT



.  ricxvi-10                 
grovebi;             
moxazuloba;
TamaSi;
saxelmZRvaneloze muSaoba;
       wera;
     jgufuri muSaoba;
     Sejameba
ricxvis Cawera-wakiTxva,Sedareba, Sekreba-gamokleba 10-is farglebSi(1.1, 1.3)
magnituri dafa;
saxelmZRv.
carci; dafa;
magnitebi;
Cxirebi;
kuburebi

ganmaviTarebeli
komentari
wamaxalisebeli Seqeba
prezentacia








gv.84-88
65-68
ricxvi 0
0-is Tvisebebi
0-is mimateba-gamokleba


4sT
praqtikuli samuSao;
kiTxvebze pasuxi; saxelmZRvaneloze muSaoba;
wera;
Sejameba
0-is Cawera-wakiTxva, gamoyeneba(1.1, 1.2, 1.3)
magnituri dafa;
saxelmZRv.
carci; dafa;
magnitebi;
Cxirebi;
kuburebi

ganmaviTarebeli
komentari
wamaxalisebeli Seqeba






gv.89-93
69-71
Sesakrebebi,
jami


3sT




Sekrebis komponentebi-savarjiSoebi;
saxelmZRvaneloze muSaoba; wera;
jgufuri muSaoba;
Sejameba

Sekrebis Tvisebebis gamoyeneba(1.3)
magnituri dafa;
saxelmZRv.
carci; dafa;
magnitebi;
Cxirebi;
kuburebi

ganmaviTarebeli
komentari
wamaxalisebeli Seqeba
prezentacia






gv.94-97
72-74
gamovakloT 1
gamovakloT 2


3sT

wina da momdevno;
bijiT uku svla;
ricxviTi kibe;
saxelmZRvaneloze muSaoba; wera;
Sejameba
Sekreba-gamoklebis operaciebis dakavSireba Tvlis an modelebis gamoyenebiT(1.3)
magnituri dafa;
saxelmZRv.
carci; dafa;
magnitebi;
Cxirebi;
kuburebi;
ricxviTi kibe
ganmaviTarebeli
komentari
wamaxalisebeli Seqeba





gv.98-105
75-80
amovxsnaT amocanebi, damatebiTi amocanebi

6sT
saxelmZRvaneloze muSaoba; wera;
Sejameba
Sekreba-gamoklebis Tvisebebis gamoyeneba, ricxvebis Sedareba, figuraTa amocnoba(1.3, 1.4, 1.6)
saxelmZRvanelo;
carci;
dafa;
baraTebi
ganmaviTarebeli
komentari
wamaxalisebeli Seqeba




gv.106-107
81
TamaSi”vin iqneba pirveli”

1sT
savarjiSoebi;
amocanebi;
TamaSi
10-is miRebis sxvadasxva xerxis gamoyeneba(1.2, 1.3)
saxelmZRvanelo;
carci;
dafa;

ganmaviTarebeli
komentari
wamaxalisebeli Seqeba







gv.108-113
82-84
mivumatoT 3,
gamovakloT 3




3sT
wina da momdevno;
bijiT uku svla;
ricxviTi kibe;
saxelmZRvaneloze muSaoba; wera;
Sejameba
Sekreba-gamoklebis Sesruleba da aRwera sxvadasxva konteqstSi(1.3)
magnituri dafa;
saxelmZRv.
carci; dafa;
magnitebi;
Cxirebi;
kuburebi;
ricxviTi kibe
ganmaviTarebeli
komentari
wamaxalisebeli Seqeba





gv.114-118
85-87
damatebiTi amocanebi


3sT
martivi amocanebi zepirad;
movifiqroT lamazi amocana;
Semadgeneli nawilebi;
saxelmZRvaneloze muSaoba; wera;
Sejameba
Sekreba-gamoklebis, Sedarebis Tvisebebis gamoyeneba(1.1, 1.3, 1.4)
magnituri dafa;
saxelmZRv.
carci; dafa;
magnitebi;

ganmaviTarebeli
komentari
wamaxalisebeli Seqeba






gv.119-124
88-90
mivumatoT 4,
gamovakloT 4




3sT
wina da momdevno;
bijiT uku svla;
ricxviTi kibe;
saxelmZRvaneloze muSaoba; wera;
Sejameba
Sekreba-gamoklebis Sesruleba da aRwera sxvadasxva konteqstSi(1.3)
magnituri dafa;
saxelmZRv.
carci; dafa;
magnitebi;
Cxirebi;
kuburebi;
ricxviTi kibe
ganmaviTarebeli
komentari
wamaxalisebeli Seqeba







gv.125-129
91-94
ramdeniT metia?

ramdeniT naklebia?




4sT
raodenobis Sedareba;
saxelmZRvaneloze muSaoba; wera;
jgufuri muSaoba;
Sejameba
Sekreba-gamoklebis operaciebis dakavSireba Sedegebis SefasebasTan(1.3)
magnituri dafa;
saxelmZRv.
carci; dafa;
magnitebi;
Cxirebi;
kuburebi

ganmaviTarebeli
komentari
wamaxalisebeli Seqeba
prezentacia






gv.130-144
95-102
Sekrebis Tvisebebi
gamoklebis Tvisebebi


8sT
sxvadasxva SemTxvevebi(mimateba-gamoklebis dros);
amocanebis amoxsna;
saxelmZRvaneloze muSaoba; wera;
Sejameba
Sekreba-gamoklebis Tvisebebis gamoyeneba moqmedebis Sesrulebisas
(1.3)
magnituri dafa;
saxelmZRv.
carci; dafa;
magnitebi;
Cxirebi;
kuburebi

ganmaviTarebeli
komentari
wamaxalisebeli Seqeba





gv.146-153
103-106

aTeuli


4sT
SevkraT 10 Cxiri;
savarjiSoebi aTeulze damatebiT;
saxelmZRvaneloze muSaoba; wera;
jgufuri muSaoba;
Sejameba
ricxvebi 20-mde, maTi dakavSireba TvlasTan, raodenobasTan, ricxvSi aTeulis gamoyofa(1.1, 1.2)
magnituri dafa;
saxelmZRv.
carci; dafa;
magnitebi;
Cxirebi;
kuburebi

ganmaviTarebeli
komentari
wamaxalisebeli Seqeba
prezentacia







gv.154-157
107-109


ricxvebi 11-dan 20-mde




3sT
zepiri angariSi;
grovidan aTeulis gamoyofa;
ricxvebis Cawera-wakiTxva;
saxelmZRvaneloze muSaoba; wera;
Sejameba


Tvla, saxeldeba, wina da momdevno ricxvebi(1.1, 1.2)
magnituri dafa;
saxelmZRv.
carci; dafa;
magnitebi;
Cxirebi;
kuburebi

ganmaviTarebeli
komentari
wamaxalisebeli Seqeba






gv.158-162
110-113

amovxsnaT amocanebi



4sT
saxelmZRvaneloze muSaoba; wera;
TamaSi;
jgufuri muSaoba;
Sejameba

Sekreba-gamoklebis demonstrireba, -iT metoba/naklebobas akavSirebs moqmedebasTan(1.3, 1.4)
saxelmZRvanelo
carci; dafa
baraTebi
ganmaviTarebeli
komentari
wamaxalisebeli Seqeba
prezentacia







gv.163-166
114-116
SevavsoT mocemul raodenobamde



3sT
gonebrivi ieriSi; savarjiSoebi;
figurebis ganlageba rigSi
Sevseba aTeulamde;
saxelmZRvaneloze muSaoba; wera;
TamaSi;

Tvlis an modelis gamoyenebiT mocemul ricxvamde Sevseba
(1.1)
magnituri dafa;
saxelmZRvanelo
carci; dafa;
magnitebi;
Cxirebi;
kuburebi

ganmaviTarebeli
komentari
wamaxalisebeli Seqeba





gv.167-170
117-119
ricxvebis sxvadasxva gamoyeneba

3sT
TamaSi-rigad mowyoba;
miTiTebuli sagnis rigis gansazRvra;
saxelmZRvaneloze muSaoba; wera;
Sejameba
rigiTi ricxviTi saxelebis gamoyeneba, ricxvebis gamoyeneba raodenobis, Wdeebis warmosadgenad(1.2)D
magnituri dafa;
saxelmZRv.
carci; dafa;
magnitebi;
Cxirebi;
kuburebi

ganmaviTarebeli
komentari
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gv.171-193
120-139
mivumatoT
1, 2, 3, 4, 5, 6, 7, 8, 9




20sT
gonebrivi ieriSi; savarjiSoebi;
ricxviTi kibe;
saxelmZRvaneloze muSaoba; wera;
Sejameba; geometriuli figurebi;


Sekrebis sxvadasxva konteqstiT (gadaTvliT, SevsebiT) Sesruleba(1.3)
magnituri dafa;
saxelmZRv.
carci; dafa;
magnitebi;
Cxirebi;
kuburebi;
ricxviTi kibe
ganmaviTarebeli
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gv194-201
140-142
vasaxelebT da gamovsaxavT geometriul figurebs

3sT

geometriuli figurebi;
venis diagrama;
saxelmZRvaneloze muSaoba;
wyvilebSi muSaoba;
Sejameba;

figurebis amocnoba, aRwera, gamosaxva,  modelis Seqmna(1.6, 1.7)
geometriuli figurebi;

magnituri dafa;
saxelmZRv.
carci; dafa
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gv.202-205
143-147
gamovakloT 11-s
gamovakloT 12-s, davukavSiroT ukan Tvlas

5sT
gonebrivi ieriSi; savarjiSoebi;
ricxviTi kibe; ricxviTi sxivi;
saxelmZRvaneloze muSaoba; wera;
TamaSi;
Sejameba;
gamoklebis Sesruleba sxvadasxva xerxiT (ukan Tvla 10-is gavliT)(1.3)
magnituri dafa;
saxelmZRv.
carci; dafa;
magnitebi;
Cxirebi;
kuburebi;
ricxviTi kibe
ganmaviTarebeli
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gv.206-210
148-151
vipovnoT ucnobi Sesakrebi

4sT
gonebrivi ieriSi; savarjiSoebi;
saxelmZRvaneloze muSaoba; wera;
wyvilebSi muSaoba;
Sejameba;
Sekreba-gamoklebis moqmedebaTa urTierTSebrunebulobis gamoyeneba(1.3)
saxelmZRvanelo
carci; dafa
ganmaviTarebeli
komentari
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gv.211-223
152-163
gamovakloT 13-s, 14-s, 15-s, 16-s,
17-s, 18-s.

12sT

gonebrivi ieriSi; savarjiSoebi;
ricxviTi kibe; ricxviTi sxivi;
saxelmZRvaneloze muSaoba; wera;
wyvilebSi muSaoba;
Sejameba;
gamoklebis Sesruleba sxvadasxva xerxiT (ukan Tvla 10-is gavliT)(1.3)
magnituri dafa;
saxelmZRv.
carci; dafa;
magnitebi;
Cxirebi;
kuburebi;
ricxviTi kibe
ganmaviTarebeli
komentari
wamaxalisebeli Seqeba







gv.224-228
165-166
viswavloT qarTuli fulis gamoyeneba


2sT
kiTxva-pasuxi;
wyvilebSi muSaoba;
TamaSi; saxelmZRvaneloze muSaoba;  
Sejameba

ganasxvavebs da asaxelebs erovnuli fulis niSnebs 20-is farglebSi(1.2) 
saxelmZRvanelo
carci; dafa;
baraTebi
ganmaviTarebeli
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167-168

Semajamebeli
gakveTili
2sT
sxvadasxva tipis savarjiSoebi;
amocanebis Sedgena-amoxsna;
geometriuli figurebi;
Semajamebeli wera
gavlil masalas gaimeorebs
magnituri dafa;
saxelmZRv.
carci; dafa;
magnitebi;
Cxirebi;
kuburebi

ganmaviTarebeli
komentari
wamaxalisebeli Seqeba


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