inga
xoxaSvili
ssip varianis
sajaro skola
2014-2015 sasw. weli
silabusi
VII klasi
| Kkomponentebi |
instruqcia
|
| saswavlo kursis saxelwodeba |
maTematika
|
| saswavlo kursis xangrZlivoba |
I semestri,
|
| saswavlo kursis statusi |
VII klasi, sabazo
|
| maswavlebeli |
xoxaSvili inga
|
| saswavlo kursis gavlis winapiroba |
moswavleebi ganasxvaveben mTel, naturalur, martiv da Sereul ricxvebs,
ician Sereuli ricxvebis daSla martiv mamravlebad, pouloben usg da usj-s, weren
didi ricxvebs
|
| saswavlo kursis mizani |
naturaluri ricxvebisa da maTi Tvisebebis Sesaxeb codnis gaRrmaveba;
poziciuri sistemis warmodgena; Tvlis sistemebi, didi ricxvebis Cawera;
kanonzomierebis aRmoCenis unaris ganviTareba; mocemuli ricxvebisaTvis usg da
usj-s povna da maTi gamoyeneba praqtikuli amocanebis amoxsnisas
|
| saswavlo kursis Sinaarsi |
1. naturaluri ricxvebi da maTi Caweris sxvadasxva formebi
2. jgufuri samuSao
3. gayofadobis niSnebi
4. martivi da Sedgenili ricxvebi, usg, usj
5. jgufuri samuSao
6. Semajamebeli samuSao #1
7. proeqti
|
| swavlebis Sedegi |
Mmoswavles SeuZlia aTwiladebSi Tanrigebis amocnoba, adarebs
aTwiladebs, eqvivalenturi formiT wers wiladebs da aTwiladebs, SeuZlia
konkretul ricxvebze gayofadobis niSnebis demonstrireba, poulobs usg-s da
usj-s.
|
| saswavlo
kursis Sefaseba |
SefasebisTvis
viyeneb ganmsazRvrel Sefasebas: saSinao davalebaSi, jgufur samuSaoSi,
gakveTilze aqtiurobaSi, gamokiTxvaSi, Semajamebel samuSaoSi.
kursis
bolos viyeneb ganmaviTarebel Sefasebas
|
| literatura |
. ,,maTematika”-vefxvaZe, gogiSvili, mebonia, qurCiSvili
|
| komponentebi |
instruqcia
|
| saswavlo kursis saxelwodeba |
maTematika
|
| saswavlo kursis xangrZlivoba |
I semestri,
|
| saswavlo kursis statusi |
VII klasi, sabazo
|
| maswavlebeli |
xoxaSvili inga
|
| saswavlo kursis gavlis winapiroba |
geometriis cneba, umartivesi geometriuli figurebis mcnebebi, kuTxis
gansazRvreba, monakveTebisa da kuTxeebis gazomva saxazavebiT
|
| saswavlo kursis mizani |
Simravleebze operaciebis TvalsaCinod warmodgenis unaris ganviTareba,
geometriul figuraTa klasifikaciis unaris ganviTareba, geometriuli figurebis
gazomvis Cvevebis gamyareba, kuTxeebis zomebis mixedviT klasifikaciis
warmodgena, geometriul figuraTa aRniSvnebis daufleba da gamoyeneba
|
| saswavlo kursis Sinaarsi |
1. simravle, qvesimravle
2. venis diagramebi
3. geometriuli figurebi da maTi urTierTganlageba
4. wrfeebisa da sibrtyeebis urTierTganlageba
3. kuTxe. kuTxeTa urTierTganlageba
5. monakveTisa da kuTxis gazomva
6. kuTxeTa klasifikacia. Oor
wrfes Soris kuTxe
7. jgufuri samuSao
8. Semajamebeli samuSao #2
|
| swavlebis Sedegi |
arqiteqturaSi, yofiT sagnebSi asaxeleben
geometriul figurebs da maT nawilebs, agebs amocanis Sesabamis naxazs, iyenebs
asoiT aRniSvnebs, aRwers geometriul obieqtTa grafikul gamosaxulebebs, xazavs
da iTvlis mosazRvre da vertikalur kuTxeebs, zomavs monakveTebs da gamosaxavs
maT sigrZeebs sxvadasxva erTeulebSi, axdens kuTxeebis klasifikacias zomebis
mixedviT
|
| saswavlo
kursis Sefaseba |
SefasebisTvis viyeneb ganmsazRvrel
Sefasebas: saSinao davalebaSi, gakveTilze aqtiurobaSi, gamokiTxvaSi,
jgufur samuSaoSi, Semajamebel samuSaoSi.
kursis
bolos viyeneb ganmaviTarebel Sefasebas
|
| literatura |
. ,,maTematika”-vefxvaZe, gogiSvili, mebonia, qurCiSvili
|
| saswavlo kursis saxelwodeba |
maTematika
|
| saswavlo kursis xangrZlivoba |
I semestri
|
| saswavlo kursis statusi |
VII klasi, sabazo
|
| maswavlebeli |
xoxaSvili inga
|
| saswavlo kursis gavlis winapiroba |
racionaluri ricxvebis da mTeli ricxvebis mcneba, ricxviT wrfeze saTavis,
mimarTulebisa da masStabis arCeva
|
| saswavlo kursis mizani |
moswavleebma gaixsenon racionaluri ricxvebi, maTze moqmedebebi, Seiswavlon
uaryofiTi ricxvebi, SeZlon maTi Sedareba da moaxdinon maTze maTematikuri
operaciebi, rac. ricxvebi gamoiyenon
sayofacxovrebo amocanebis amoxsnisas
|
| saswavlo kursis Sinaarsi |
1.mTeli ricxvebi
2. mTeli ricxvis moduli, ricxvebis Sedareba
3. mTeli ricxvebis Sekreba-gamokleba
4. mTeli ricxvebis gamravleba-gayofa
5. damoukidebeli samuSao
6. dadebiTi racionaluri ricxvebi
7. racionaluri ricxvebi, rac, ricxvis naturalurmaCvenebliani xarisxi
8. Semajamebeli samuSao #3
|
| swavlebis Sedegi |
Kkargad aqvT gaazrebuli mopirdapire ricxvebi
da SeuZliaT maTi geometriuli warmodgena, mTel ricxvebze axerxeben
maTematikuri operaciebis Catarebas, Sedarebas
|
| saswavlo
kursis Sefaseba |
SefasebisTvis viyeneb ganmsazRvrel
Sefasebas: saSinao davalebaSi, gakveTilze aqtiurobaSi, gamokiTxvaSi, damoukidebel
samuSaoSi, Semajamebel samuSaoSi.
kursis
bolos viyeneb ganmaviTarebel Sefasebas
|
| literatura |
. ,,maTematika”-vefxvaZe, gogiSvili, mebonia, qurCiSvili
|
| saswavlo kursis saxelwodeba |
maTematika
|
| saswavlo kursis xangrZlivoba |
I semestri
|
| saswavlo kursis statusi |
VII klasi, sabazo
|
| maswavlebeli |
xoxaSvili inga
|
| saswavlo kursis gavlis winapiroba |
umartivesi geometriuli figurebis codna,, monacemebi da maTi Segrovebis
xerxebi
|
| saswavlo kursis mizani |
moswavles SeeZlos texilis da mravalkuTxedis daxazva da maTi Tvisebebis
Camoyalibeba , moaxerxon mopovebuli monacemebis daxarisxeba, SeZlon
piqtogramebis gamoyeneba
|
| saswavlo kursis Sinaarsi |
1. monacemTa analizi da
statistika
2. texili, mravalkuTxedebi, oTxkuTxedebi
3. oTxkuTxedebi
4. cvladiani gamosaxuleba
5. xarisxis Tvisebebi
6. proeqti
7. damoukidebeli wera
8. Semajamebeli samuSao #4
|
| swavlebis Sedegi |
moswavleebs SeuZliaT cvladiani gamosaxulebis
mniSvnelobebis daTvla cvladis konkretuli mniSvnelobisTvis, SeuZliaT
frCxilebis gaxsna, saerTo mamravlis gatana frCxilebs gareT, msgavsi wevrebis
SeerTeba, Semoklebuli gamravlebis formulebis gamoyeneba gamosaxulebebis
gamartivebisas; moipoveben dasmuli amocanis amosaxsnelad saWiro Tvisebriv da
raodenobriv monacemebs, maT warmoadgenen xelsayreli formiT, axdenen monacemTa
analizs amocanis konteqstis gaTvaliswinebiT
|
| saswavlo
kursis Sefaseba |
SefasebisTvis viyeneb ganmsazRvrel
Sefasebas: saSinao davalebaSi, gakveTilze aqtiurobaSi, gamokiTxvaSi,
jgufur samuSaoSi, Semajamebel samuSaoSi.
kursis
bolos viyeneb ganmaviTarebel Sefasebas
|
| literatura |
. ,,maTematika”-vefxvaZe, gogiSvili, mebonia, qurCiSvili
|
instruqcia
|
|
| saswavlo kursis
saxelwodeba |
maTematika
|
| saswavlo kursis xangrZlivoba |
II semestri
|
| saswavlo kursis statusi |
VII klasi, sabazo
|
| maswavlebeli |
xoxaSvili inga
|
| saswavlo kursis gavlis
winapiroba |
cvladiani da ricxviTi gamosaxulebebis cnebebi, xarisxis ganmarteba,
|
| saswavlo kursis mizani |
moswavleebma SeZlon gansxvavebis amocnoba ricxviT da cvladian
gamosaxulebebs Soris, moaxerxon cvladiani gamosaxulebis mniSvnelobis daTvla
cvladis konkretuli mniSvnelobisTvis, SeZlon cvladiani gamosaxulebis
gardaqmna,
|
| saswavlo kursis Sinaarsi |
1. cvladiani gamosaxuleba da misi mniSvnelobis povna
2. naturalurmaCvenebliani xarisxis Tvisebebi
3. erTwevri, mravalwevri, moqmedebebi mravalwevrebze
4. Semoklebuli gamravlebis formulebi
5. mravalwevris mamravlebad daSla
6. Semajamebeli samuSao #5
|
| swavlebis Sedegi |
moswavle amoicnobs da gamosaxavs sidideebs
Soris pirdapirproporciul da ukuproporciul damokidebulebebs, garamomcvel
obieqtebs Soris moiZiebs simetriul obieqtebs, xazavs brtyeli figuris
simetriuls miTiTebuli simetriis RerZis mimarT, axdens figuris paralelur
gadatanas, asaxelebs RerZulad simetriuli figuris nebismieri wertilis
koordinatebs
|
| saswavlo kursis Sefaseba |
SefasebisTvis viyeneb ganmsazRvrel
Sefasebas: saSinao davalebaSi, gakveTilze aqtiurobaSi, gamokiTxvaSi,
jgufur samuSaoSi, Semajamebel samuSaoSi.kursis bolos viyeneb ganmaviTarebel
Sefasebas
|
| literatura |
. ,,maTematika”-vefxvaZe, gogiSvili, mebonia, qurCiSvili
|
| komponentebi |
instruqcia
|
| saswavlo kursis saxelwodeba |
maTematika
|
| saswavlo kursis xangrZlivoba |
II semestri,
|
| saswavlo kursis statusi |
VII klasi, sabazo
|
| maswavlebeli |
xoxaSvili inga
|
| saswavlo kursis gavlis winapiroba |
gantolebis cneba, umartivesi gantolebis amoxsna, wertilis koordinatebi
wrfeze da sibrtyeze
|
| saswavlo kursis mizani |
moswavleebma SeZlon wrfivi erTucnobiani gantolebebis amoxsna
grCxilebis gaxsnis da Semoklebuli gamravlebis formulebis daxmarebiT
|
| saswavlo kursis Sinaarsi |
1. gantoleba. gantolebis fesvi
2. wrfivi erTucnobiani gantolebis amoxsna
3. Semajamebeli samuSao #6
|
| swavlebis Sedegi |
moswavleebi pouloben gantolebis fesvs,
SeuZliaT ganmarton gantolebas rodis ramdeni fesvi aqvs, pouloben wrfeze or
wertils Soris manZils, xsnian gantolebas geometriuli xerxiT, SeuZliaT
wertilis koordinatebis amocnoba sibrtyeze, agreTve koordinatebis mixedviT
sibrtyeze wertilis dasma, xsnian amocanebs cvladis SemotaniT da gantolebis
SedgeniT
|
| saswavlo
kursis Sefaseba |
SefasebisTvis
viyeneb ganmsazRvrel Sefasebas: saSinao davalebaSi, gakveTilze
aqtiurobaSi, gamokiTxvaSi.
kursis
bolos viyeneb ganmaviTarebel Sefasebas
|
| literatura |
,,maTematika”-vefxvaZe, gogiSvili, mebonia, qurCiSvili
|
|
|||||||||||||||||||||||
| komponentebi |
instruqcia
|
| saswavlo
kursis saxelwodeba |
maTematika
|
| saswavlo
kursis xangrZlivoba |
II semestri
|
| saswavlo
kursis statusi |
VII klasi, sabazo
|
| maswavlebeli |
xoxaSvili inga
|
| saswavlo
kursis gavlis winapiroba |
samkuTxedis ageba, wakiTxva, elementebis dasaxeleba, perimetris daTvla
|
| saswavlo
kursis mizani |
moswavleebma moaxdinon samkuTxedebis klasifikacia gverdebisa da
kuTxeebis mixedviT, Seiswavlon tolobis niSnebi da iswavlon maTi gamoyeneba
cxovrebaSi
|
| saswavlo
kursis Sinaarsi |
1.
RerZuli simetria
2.
paraleluri gadatana
3.
proeqti
4.
Sefardeba, proporciul nawilebad
dayofa, proporcia
5.
pirdapirproporciuli sidideebi
6.
Semajamebeli samuSao #8
|
| swavlebis
Sedegi |
|
| saswavlo
kursis Sefaseba |
SefasebisTvis viyeneb ganmsazRvrel
Sefasebas: saSinao davalebaSi, gakveTilze aqtiurobaSi, gamokiTxvaSi,
jgufur samuSaoSi, Semajamebel samuSaoSi.
kursis
bolos viyeneb ganmaviTarebel Sefasebas
|
| literatura
|
. ,,maTematika”-vefxvaZe, gogiSvili, mebonia, qurCiSvili
|
| komponentebi |
instruqcia
|
| saswavlo kursis
saxelwodeba |
maTematika
|
| saswavlo kursis xangrZlivoba |
II semestri
|
| saswavlo kursis statusi |
VII klasi, sabazo
|
| maswavlebeli |
xoxaSvili inga
|
| saswavlo kursis gavlis
winapiroba |
samkuTxedebis ageba, klasifikacia, wakiTxva wrfeTa paralelurobis da
marTobulobis codna
|
| saswavlo kursis mizani |
iswavlon samkuTxedis kuTxeebis Tviseba, aagon SuamarTobi da biseqtrisa
|
| saswavlo kursis Sinaarsi |
1.
samkuTxedis saxeebi
2.
samkuTxedis elementebi
3.
mimdevrobebi
4.
samkuTxedebis tolobis niSnebi
5.
tolferda samkuTxedi
6.
samkuTxedis kuTxeebis jami
7.
marTkuTxa samkuTxedi
8.
Semajamebeli samuSao #9
|
| swavlebis Sedegi |
moswavle xsnis geometriul amocanebs
samkuTxedebTan dakavSirebuli cnebebisa da faqtebis gamoyenebiT: iyenebs
tolobis niSnebs figuraTa Tvisebebis dasadgenad, realur viTarebaSi manZilis
arapirdapiri gziT dasadgenad, xsnis agebis martiv amocanebs, poulobs mizez-Sedegobriv
kavSirebs samkuTxedTan da mis elementebTan dakavSirebul debulebebs Soris,
ganavrcobs mudmivi nazrdis mqone ricxviT mimdevrobas, moswavleebma ician
samkuTxedis kuTxeebis jamis ricxviTi mniSvneloba, marTkuTxa samkuTxedis
daxazva da misi ori Tviseba, wertilidan wrfemde manZili, marTobi, daxrili,
biseqtrisi da maTi Tvisebebi
|
| saswavlo kursis Sefaseba |
SefasebisTvis viyeneb ganmsazRvrel
Sefasebas: saSinao davalebaSi, gakveTilze aqtiurobaSi, gamokiTxvaSi,
jgufur samuSaoSi, Semajamebel samuSaoSi.
kursis
bolos viyeneb ganmaviTarebel Sefasebas
|
| literatura |
. ,,maTematika”-vefxvaZe, gogiSvili, mebonia, qurCiSvili
|
| komponentebi |
instruqcia
|
| saswavlo kursis saxelwodeba |
maTematika
|
| saswavlo kursis xangrZlivoba |
II semestri
|
| saswavlo kursis statusi |
VII klasi, sabazo
|
| maswavlebeli |
xoxaSvili inga
|
| saswavlo kursis gavlis winapiroba |
procentis cneba, monacemebis cneba,
|
| saswavlo kursis mizani |
procentis yvela tipis amocanebis amoxsna, monacemebis mopovebis gzebi
da klasifikacia
|
| saswavlo kursis Sinaarsi |
1. procenti
2. procentebze amocanebis amoxsna
3. jgufuri samuSao
4.statistikis elementebi. Semajamebeli maxasiaTeblebi
5. paraleluri wrfeebi
6. monakveTis SuamarTobi, qorda,mxebi.
7. proeqti
8. amocanebi agebaze
9. Semajamebeli samuSao #10
|
| swavlebis Sedegi |
am nawilSi detalurad aRwereT saswavlo kursis gavlis Semdeg ra codnasa da unar_Cvevebs
unda flobdes kursdamTavrebuli.
|
| saswavlo
kursis Sefaseba |
SefasebisTvis viyeneb ganmsazRvrel
Sefasebas: saSinao davalebaSi, gakveTilze aqtiurobaSi, gamokiTxvaSi,
jgufur samuSaoSi, Semajamebel samuSaoSi.
kursis
bolos viyeneb ganmaviTarebel Sefasebas
|
| literatura |
. ,,maTematika”-vefxvaZe, gogiSvili, mebonia, qurCiSvili
|
X klasi
| komponentebi |
instruqcia
|
| saswavlo kursis saxelwodeba |
maTematika
|
| saswavlo kursis xangrZlivoba |
I semestri, 15 seqtemberi-6 oqtomberi
|
| saswavlo kursis statusi |
X klasi, saSualo
|
| maswavlebeli |
xoxaSvili inga
|
| saswavlo kursis gavlis winapiroba |
moswavle unda adarebdes racionalur ricxvebs, asrulebdes maTze moqmedebebs,
iyenebdes dasabuTebis xerxebs, xsnides gantolebebs, utolobebs da maTze
sistemebs, iyenebdes geometriul gardaqmnebs, iTvlides albaTobebs, akeTebdes
monacemTa analizs
|
| saswavlo kursis mizani |
simravleTa Teoriis elementebis warmodgena, qvesimravlis cnebasTan
dakavSirebuli zogierTi spec.aRniSvnis Semotana,simravleebis geometriuli
interpretacia, venis diagramebiT sargebloba, racionaluri ricxvebis Cawera
sxvadasxva formiT, fesvis gaxseneba da misi Tvisebebi
|
| saswavlo kursis Sinaarsi |
1. simravlis mocemis xerxebi-15-16-19-20 seqtemberi
2. moqmedebebi simravleebze. venis diagramebi-21-22-23 seqtemberi
3.amocanebis amoxsna (venis diagramebiT )-26-27 seqtemberi
4. jgufuri samuSao-28 seqtemberi
5. racionaluri ricxvebis Cawera sxvadasxva formiT-29-30 seqtemberi
6. namdvil ricxvTa simravle-3-4-5 oqtomberi
7. Semajamebeli samuSao #1-6 oqtomberi
|
| swavlebis Sedegi |
moswavle ganasxvavebs racionalur da
iracionalur ricxvebs, periodul da araperiodul aTwiladebs,mocemuli sizustiT
amrgvalebs namdvil ricxvebs, ori namdvili ricxvisaTvis asaxelebs maT Soris
moTavsebul racionalur ricxvs, adarebs sxvadasxva poziciur sistemebs da
msjelobs TiToeulis upiratesobaze, icis simravlis, qvesimravlis, TanakveTis,
gaerTianebis, sxvaobis, damatebis gamosaxva, moswavle asrulebs namdvil
ricxvebze moqmedebebs da afasebs maT Sedegs.
|
| saswavlo
kursis Sefaseba |
SefasebisTvis viyeneb ganmsazRvrel
Sefasebas: saSinao davalebaSi, gakveTilze aqtiurobaSi, gamokiTxvaSi,
jgufur samuSaoSi, Semajamebel samuSaoSi.
kursis
bolos viyeneb ganmaviTarebel Sefasebas
|
| literatura |
. ,,maTematika”-vefxvaZe, gogiSvili, mebonia, qurCiSvili
|
| komponentebi |
instruqcia
|
| saswavlo kursis saxelwodeba |
maTematika
|
| saswavlo kursis xangrZlivoba |
I semestri, 7 oqtomberi-3 noemberi
|
| saswavlo kursis statusi |
X klasi, saSualo
|
| maswavlebeli |
xoxaSvili inga
|
| saswavlo kursis gavlis winapiroba |
moswavlem unda icodes funqciis cneba, grafikis ageba da grafikis
wakiTxva, fesvis ganmarteba, ricxviTi Sualedebi
|
| saswavlo kursis mizani |
ricxvis Caweris erT-erTi formis (fesvis) da am formiT Cawerilinamdvil
ricxvTa Tvisebebis gamoyenebis unaris gamomuSaveba, wiladmaCvenebliani
xarisxis Tvisebebis gamoyeneba, ricxviTi Sualedebis sxvadasxva saxis
aRniSvnebis gamoyeneba, grafebis gamoyenebis unaris gamomuSaveba, funqciis
Tvisebebis dadgena
|
| saswavlo kursis Sinaarsi |
1. fesvi. wiladmaCvenebliani xarisxi-7-10-11 oqtomberi
2. ricxviTi Sualedebi—12-13 oqtomberi
3. funqcia-17-18-19 oqtomberi
4. funqciis grafiki-20-21 oqtomberi
5. funqciis mocemis xerxebi-24-25-26 oqtomberi
6. funqciis Tvisebebi-27-28oqtomberi
7. wrfivi funqcia, kvadratuli funqcia, y=k/x funqcia-31 oqtomberi-1 noemberi
8. jgufuri samuSao-2 noemberi
9. Semajamebeli samuSao #2-3 noemberi
|
| swavlebis Sedegi |
moswavleebma ician n-uri
xarisxis da wiladuri xarisxis fesvis daTvla, ician ricxviTi Sualedebis Cawera
da wakiTxva, pouloben mocemuli funqciis gansazRvris da mniSvnelobaTa areebs,
ician funqciis grafikis gamiyeneba, floben simravleTa Soris damokidebulebebis
sxvadasxva xerxebs, moswavle asaxelebs funqciis tips, poulobs funqciis
nulebs, maqsimums-minimums, zrdadoba-klebadobis da niSanmudmivobis Sualedebs,
cvlis funqciis parametrebs, adarebs or funqcias,
|
| saswavlo
kursis Sefaseba |
SefasebisTvis viyeneb ganmsazRvrel
Sefasebas: saSinao davalebaSi, gakveTilze aqtiurobaSi, gamokiTxvaSi,
jgufur samuSaoSi, Semajamebel samuSaoSi.kursis bolos viyeneb ganmaviTarebel
Sefasebas
|
| literatura |
. ,,maTematika”-vefxvaZe, gogiSvili, mebonia, qurCiSvili
|
| komponentebi |
instruqcia
|
| saswavlo kursis saxelwodeba |
maTematika
|
| saswavlo kursis xangrZlivoba |
I semestri, 4 noemberi-21 noemberi
|
| saswavlo kursis statusi |
X klasi, saSualo
|
| maswavlebeli |
xoxaSvili inga
|
| saswavlo kursis gavlis winapiroba |
moswavles unda SeeZlos garemomcvel figurebs Soris simetriuli figurebis
aRmoCena, simetriis RerZebis povna, figuris paralelurad gadatana miTiTebuli
simetriiT, unda poulobdes dadataniT miRebuli wertilebis koordinatebs
|
| saswavlo kursis mizani |
geometriuli gardaqmnebis kompoziciebs Soris mimarTebis aRwera da maTi
gamoyenebis unaris gamomuSaveba, koordinatebis gamoyeneba, sibrtyis
dafarvebis demonstrireba
|
| saswavlo kursis Sinaarsi |
1. figuraTa asaxva-4-7 noemberi
2. centruli da RerZuli simetriebi-8-9 noemberi
3. mobruneba-10-11 noemberi
4. mobrunebaTa kompozicia- 14-15 noemberi
5. radianuli zoma-16-17-18 noemberi
6. Semajamebeli samuSao #3-21 noemberi
|
| swavlebis Sedegi |
moswavleebma ician Seqceuli asaxvis cneba,
moZraobis da gadaadgilebis Tvisebebi, mobruneba da misi Tvisebebi, iyenebs
koordinatebs geometruli gardaqmnebis Sesrulebisa da gamosaxvisaTvis, msjelobs
da akeTebs daskvnas erTi da igive tipis geometriuli gardaqmnebis
kompoziciebis Sesaxeb, msjelobs mocemuli figurebiT sibrtyis dafarvis
SesaZleblobis Sesaxeb, flobs kuTxis zomis axal erTeuls radians,
|
| saswavlo
kursis Sefaseba |
SefasebisTvis viyeneb ganmsazRvrel
Sefasebas: saSinao davalebaSi, gakveTilze aqtiurobaSi, gamokiTxvaSi,
jgufur samuSaoSi, Semajamebel samuSaoSi.
kursis
bolos viyeneb ganmaviTarebel Sefasebas
|
| literatura |
. ,,maTematika”-vefxvaZe, gogiSvili, mebonia, qurCiSvili
|
| komponentebi |
instruqcia
|
| saswavlo kursis saxelwodeba |
maTematika
|
| saswavlo kursis xangrZlivoba |
I semestri, 22 noemberi-14 dekemberi
|
| saswavlo kursis statusi |
X klasi, saSualo
|
| maswavlebeli |
xoxaSvili inga
|
| saswavlo kursis gavlis winapiroba |
moswavle unda awesrigebdes da warmoadgendes monacemebs dasmuli
amocanis amosaxsnelad xelsayreli formiT, iTvlides da afasebdes damoukidebel
xdomilobaTa albaTobebs SemTxveviTi eqsperimentebisaTvis
|
| saswavlo kursis mizani |
moswavle moipovebdes dasmuli amocanis amosaxsnelad saWiro monacemebs,
warmoadgendes xelsayreli formiT, iyenebdes yoveldRiur viTarebaSi, unda
SeeZlos monacemTa Semajamebeli maxasiaTeblebis gamoyeneba
|
| saswavlo kursis Sinaarsi |
1. monacemTa Segroveba-22-24 noemberi
2. monacemTa klasifikacia, sixSireTa cxrili-25-28 noemberi
3. monacemTa warmodgenis sxvadasxva xerxebi-29-30 noemberi
4. monacemTa TvalsaCinod warmodgenis xerxebi-1-2 dekemberi
5. monacemebis Semajamebeli ricxviTi maxasiaTeblebi-5-6-7 dekemberi
6. monacemTa gafantulobis sazomebi-8-9-12-13 dekemberi
7. Semajamebeli samuSao # 4-14 dekemberi
|
| swavlebis Sedegi |
moswavle iyenebs monacemTa Segrovebis
xerxebs, ikvlevs da iyenebs sxvadasxva istoriul da Tanamedrove wyaroebs, awesrigebs
da warmoadgens Tvisebriv da raodenobriv monacemebs dasmuli amocanis
amosaxsnelad xelsayreli formiT, ganixilavs statistikur viTarebebs da msjelobs
mocemuli problemis Sesaxeb
|
| saswavlo
kursis Sefaseba |
SefasebisTvis viyeneb ganmsazRvrel
Sefasebas: saSinao davalebaSi, gakveTilze aqtiurobaSi, gamokiTxvaSi,
jgufur samuSaoSi, Semajamebel samuSaoSi.
kursis
bolos viyeneb ganmaviTarebel Sefasebas
|
| literatura |
. ,,maTematika”-vefxvaZe, gogiSvili, mebonia, qurCiSvili
|
semestris bolos
vwerT I semestris Semajamebel samuSaos, romelic moicavs mTeli semestris gavlil
masalas-------
miRebuli Sefaseba gavlenas ar axdens semestrul niSanze
| komponentebi |
instruqcia
|
| saswavlo kursis saxelwodeba |
maTematika
|
| saswavlo kursis xangrZlivoba |
II semestri, 15 dekemberi-2 Tebervali
|
| saswavlo kursis statusi |
X klasi, saSualo
|
| maswavlebeli |
xoxaSvili inga
|
| saswavlo kursis gavlis winapiroba |
unda icodes periduli da mudmivi nazrdis mqone mimdevrobebi, maTi
ganvrcoba
|
| saswavlo kursis mizani |
mimdevrobebis ganxilva, n-uri wevris formulebis Cawera, rekurentuli mimdevrobebis ganxilva,
dajamebis formulebis daufleba da maTi gamoyeneba,
|
| saswavlo kursis Sinaarsi |
1. mimdevroba-15-16-19 dekemberi
2. rekurentuli wesiT mocemuli mimdevrobebi-20-21 dekemberi
3. jgufuri samuSao-22 dekemberi
4. mimdevrobis n-uri wevris formula-20-23 ianvari
5. ariTmetikuli progresiis jamis formula-24-25 ianvari
6. geometriuli progresiis jamis formula-26-27-30 ianvari
7. paskalis samkuTxedi-31 ianvari-1 Tebervali
8. Semajamebeli samuSao #5-2 Tebervali
|
| swavlebis Sedegi |
moswavles SeuZlia mimdevrobis nebismieri
wevris povna formulis saSualebiT, ganasxvavebs rekurenrul mimdevrobebs,
ariTmetikul da geometriul progresiebs, SeuZlia progresiebis wevrebis daTvla
da dagena aris Tu ara esa Tu is ricxvi mocemuli mimdevrobis wevri, iTvlis
ariTmetikuli da geometriuli progresiebis wevrebis jams
|
| saswavlo
kursis Sefaseba |
SefasebisTvis viyeneb ganmsazRvrel
Sefasebas: saSinao davalebaSi, gakveTilze aqtiurobaSi, gamokiTxvaSi,
jgufur samuSaoSi, Semajamebel samuSaoSi.kursis bolos viyeneb ganmaviTarebel
Sefasebas
|
| literatura |
. ,,maTematika”-vefxvaZe, gogiSvili, mebonia, qurCiSvili
|
| komponentebi |
instruqcia
|
| saswavlo kursis
saxelwodeba |
maTematika
|
| saswavlo kursis xangrZlivoba |
II semestri, 2 Tebervali-5 marti
|
| saswavlo kursis statusi |
X klasi, saSualo
|
| maswavlebeli |
xoxaSvili inga
|
| saswavlo kursis gavlis
winapiroba |
moswavle unda ganasxvavebdes wanamZRvars da daskvnas, cvlides
wanamZRvars da msjelobdes daskvnis marTebulobis Sesaxeb,ayalibebdes da
sabuTebdes martiv debulebebs
|
| saswavlo kursis mizani |
moswavlem SeZlos msjeloba-dasabuTebis sxvadasxva xerxebis gamoyeneba
|
| saswavlo kursis Sinaarsi |
1. WeSmariti da mcdari winadadebebi,
uaryofa, kontrmagaliTi-3-6-7 Tebervali
2. Sebrunebuli da mopirdapire
debulebebi-8-9-10 Tebervali
3. jgufuri samuSao-13 Tebervali
4. sawinaaRmdegos daSvebis xerxi-14-15-16-17
Tebervali
5. jgufuri samuSao-20 Tebervali
6. RerZul simetriaTa kompozicia. paralelur
gadatanaTa kompozicia-21 -22-23Tebervali
7. paraleluri gadatanis erTi praqtikuli
gamoyeneba-224-27-28-29 Tebervali-1-2 marti
8. Semajamebeli samuSao #6-5 marti
|
| swavlebis Sedegi |
moswavle asabuTebs martiv debulebas ricxviTi
kanonzomierebebis safuZvelze, axdens hipoTezis uaryofas kontrmagaliTiT,
msjelobis nimuSebSi amoicnobs deduqcias, ganzogadebas da analogias, iyenebs
venis diagramebs, iyenebs sawinaaRmdegos daSvebis meTods, poulobs kompoziciebs,
rogorc RerZuli simetriis, ise paraleluri gadatanisTvis, ganasxvavebs Teoremis
pirobas da daskvnas
|
| saswavlo kursis Sefaseba |
SefasebisTvis viyeneb ganmsazRvrel
Sefasebas: saSinao davalebaSi, gakveTilze aqtiurobaSi, gamokiTxvaSi,
jgufur samuSaoSi, Semajamebel samuSaoSi.kursis bolos viyeneb ganmaviTarebel
Sefasebas
|
| literatura |
. ,,maTematika”-vefxvaZe, gogiSvili, mebonia, qurCiSvili
|
| komponentebi |
instruqcia
|
| saswavlo kursis saxelwodeba |
maTematika
|
| saswavlo kursis xangrZlivoba |
II semestri, 6 marti-6aprili
|
| saswavlo kursis statusi |
X klasi, saSualo
|
| maswavlebeli |
xoxaSvili inga
|
| saswavlo kursis gavlis winapiroba |
moswavles unda SeeZlos orucnobiani gantolebis da utolobis amoxsna,
ganasxvavebdes tol da msgavs figurebs
|
| saswavlo kursis mizani |
moswavleebs vaswavlo orucnobiani utolobebis amoxsnis geomertiuli
interpretacia, utolobaTa sistemiT praqtikuli amocanebis modelirebis unaris
gamomuSaveba, homoTetiis, rogorc msgavsebis gardaqmnis gansazRvra, msgavsebis
niSnebis aTviseba da maTi gamoyeneba yofa-cxovrebaSi
|
| saswavlo kursis Sinaarsi |
1. geometriul figuraTa warmodgena algebruli damokidebulebebis
saSualebiT-6-7-9 marti
2. wrfivi orucnobiani utoloba-12-13-14 marti
3. wrfiv orucnobian utolobaTa sistema-15-16-19 marti
4. jgufuri samuSao-20 marti
5. orucnobian gantolebaTa sistema-21-22-23-26-27 marti
6. msgavsi figurebi-28-29 marti
7. homoTetia- 30marti-2aprili
8. msgavsebis asaxva. msgavsebis niSnebi-2-4-5 aprili
9. Semajamebeli samuSao #7-6 aprili
|
| swavlebis Sedegi |
moswavles SeuZlia amocanis amoxsna wrfiv
orucnobian utolobaTa sistemis daxmarebiT, iyenebs orucnobiani gantolebis
amoxsnis sxvadasxva xerxs, cnobs homoTetiur figurebs, flobs msgavsebis niSnebs da icis rogor gamoiyenos es niSnebi cxovrebaSi
|
| saswavlo
kursis Sefaseba |
SefasebisTvis viyeneb ganmsazRvrel
Sefasebas: saSinao davalebaSi, gakveTilze aqtiurobaSi, gamokiTxvaSi,
jgufur samuSaoSi, Semajamebel samuSaoSi.
kursis
bolos viyeneb ganmaviTarebel Sefasebas
|
| literatura |
. ,,maTematika”-vefxvaZe, gogiSvili, mebonia, qurCiSvili
|
| komponentebi |
instruqcia
|
| saswavlo kursis saxelwodeba |
maTematika
|
| saswavlo kursis xangrZlivoba |
II semestri, 10aprili-
|
| saswavlo kursis statusi |
X klasi, saSualo
|
| maswavlebeli |
xoxaSvili inga
|
| saswavlo kursis gavlis winapiroba |
moswavlem unda icodes trigonometriuli funqciebi, martivi
trigonometriuli igiveobebi, samkuTxedis farTobis dasaTvleli formulebi
|
| saswavlo kursis mizani |
samkuTxedis gverdebsa da kuTxeebs Soris trigonometriuli Tanafardobebi
da maTi gamoyenebis unaris gamomuSaveba-sakmarisad daSorebul obieqtamde
manZilis povna, maRali obieqtis simaRlis dadgena, optimizaciis amocanebis
amoxsna farTobis gamoyenebiT
|
| saswavlo kursis Sinaarsi |
1. sinusebis Teorema-
2. kosinusebis Teorema-
3. samkuTxedis kuTxeebsa da gverdebs Soris damokidebulebebi-
4. samkuTxedis farTobis formulebi-
5. Semajamebeli samuSao #8-
|
| swavlebis Sedegi |
moswavleebma ician sinusebis da kosinusebis
Teoremis daxmarebiT nebismieri samkuTxedis amoxsna, manZilisa da simaRlis
daTvla, gverdebis mixedviT samkuTxedis tipis amocnoba, SeuZliaT samkuTxedis
farTobis daTvla trigonometriuli funqciebis daxmarebiT
|
| saswavlo
kursis Sefaseba |
SefasebisTvis viyeneb ganmsazRvrel
Sefasebas: saSinao davalebaSi, gakveTilze aqtiurobaSi, gamokiTxvaSi,
Semajamebel samuSaoSi.
kursis
bolos viyeneb ganmaviTarebel Sefasebas
|
| literatura |
. ,,maTematika”-vefxvaZe, gogiSvili, mebonia, qurCiSvili
|
| komponentebi |
instruqcia
|
| saswavlo kursis saxelwodeba |
maTematika
|
| saswavlo kursis xangrZlivoba |
II semestri,
|
| saswavlo kursis statusi |
X klasi, saSualo
|
| maswavlebeli |
xoxaSvili inga
|
| saswavlo kursis gavlis winapiroba |
moswavle awesrigebs da warmoadgens monacemebs dasmuli amocanis
amosaxsnelad xelsayreli formiT, afasebs damoukidebel xdomilobaTa albaTobebs
SemTxveviTi eqsperimentebisaTvis, akeTebs monacemTa analizs da ayalibebs
daskvnebs
|
| saswavlo kursis mizani |
moswavlem unda SeZlos aRweros SemTxveviToba albaTuri modelebis
gamoyenebiT, statistikuri da albaTuri cnebebi gamoiyenos yoveldRiur
viTarebaSi, icnobdes kavSirs sxvadasxva poziciur sistemebs Soris
|
| saswavlo kursis Sinaarsi |
1. albaTobis formula-
2. xdomilobaTa sivrce-
3. fardobiTi sixSire da albaToba-
4. albaTobis magaliTebi-
5. jgufuri samuSao-
6. mTeli ricxvebis gayofadoba. Tvlis sistemebi-
7. Semajamebeli samuSao #9-
|
| swavlebis Sedegi |
moswavle iyenebs monacemTa Segrovebis
xerxebs, iyenebs istoriul wyaroebs, irCevs monacemTa warmodgenis Sesaferis
formas, iTvlis xdomilobaTa albaTobebs, msjelobs gansxvavebaze mosalodnel da
eqsperimentul Sedegs Soris, msjeloba albaTuri modelebis gamoyenebis Sesaxeb
dazRvevaSi, sociologiur kvlevebSi, mohyavs albaTur-statistikuri modelebis
gamoyenebis magaliTebi bunebismetyvelebaSi da medicinaSi
|
| saswavlo
kursis Sefaseba |
SefasebisTvis viyeneb ganmsazRvrel
Sefasebas: saSinao davalebaSi, gakveTilze aqtiurobaSi, gamokiTxvaSi,
jgufur samuSaoSi, Semajamebel samuSaoSi.kursis bolos viyeneb ganmaviTarebel
Sefasebas
|
| literatura |
. ,,maTematika”-vefxvaZe, gogiSvili, mebonia, qurCiSvili
|
| komponentebi |
instruqcia
|
| saswavlo kursis saxelwodeba |
maTematika
|
| saswavlo kursis xangrZlivoba |
II semestri,
|
| saswavlo kursis statusi |
X klasi, saSualo
|
| maswavlebeli |
xoxaSvili inga
|
| saswavlo kursis mizani |
sawavlo wlis ganmavlobaSi gavlili masalis gameoreba
|
| saswavlo kursis Sinaarsi |
1. gavimeoroT ZiriTadi sakiTxebi-
2. Semajamebeli samuSao #10-
|
| swavlebis Sedegi |
moswavle flobs yvela im sakiTxebis codnas,
romelis gaTvaliswinebulia erovnuli sawavlo gegmiT, kerZod ganasxvavebs
namdvil ricxvTa qvesistemebs, akavSirebs ricxvTa qvesimravleebs erTmaneTTan,
iyenebs msjeloba-dasabuTebis sxvadasxva xerxebs, iyenebs funqciis Tvisebebs
sidideebs Soris damokidebulebis Sesaswavlad, iyenebs gantolebaTa da utolobaTa
sistemebs modelirebis saSualebiT problemebis gadaWrisas, ikvlevs figuraTa
geometriul gardaqmnebs sibrtyeze , aRwers SemTxveviTobas albaTuri modelebis
gamoyenebiT
|
| saswavlo
kursis Sefaseba |
SefasebisTvis viyeneb ganmsazRvrel
Sefasebas: saSinao davalebaSi, gakveTilze aqtiurobaSi, gamokiTxvaSi,
Semajamebel samuSaoSi.
kursis
bolos viyeneb ganmaviTarebel Sefasebas
|
| literatura |
. ,,maTematika”-vefxvaZe, gogiSvili, mebonia, qurCiSvili
|
wlis bolos vwerT wlis Semajamebel samuSaos, romelic
moicavs mTeli wlis gavlil masalas-------
miRebuli Sefaseba gavlenas axdens wliur
niSanze
XI klasi
| komponentebi |
instruqcia
|
| saswavlo kursis saxelwodeba |
maTematika
|
| saswavlo kursis xangrZlivoba |
I semestri
|
| saswavlo kursis statusi |
XI klasi, saSualo
|
| maswavlebeli |
xoxaSvili inga
|
| saswavlo kursis gavlis winapiroba |
moswavlem unda icodes simravleebi da qvesimravleebi, moqmedebebi
simravleebze, carieli simravlis cneba, venis diagramebi, debulebaTa
dasabuTebis xerxebi, mimdevrobis cneba
|
| saswavlo kursis mizani |
moswavlem icodes usasrulod didi
da usasrulod mcire ricxvebze moqmedebebis Catareba, dasabuTebis kidev erTi xerxis
induqciis gamoyeneba-kerZo SemTxvevebis safuZvelze zogadi daskvnis gamotanis
meTodi, zRvari da misi daTvla, usasrulod klebadi geometriuli progresiis
amocnoba da aseTi progresiis jamis povnis unaris gamomuSaveba |
| saswavlo kursis Sinaarsi |
1. simravleTa Teoriis elementebi, debulebaTa dasabuTebis xerxebi-15-16
seqtemberi
2. jgufuri samuSao-19.09
3. grafebis gamoyenebis magaliTebi-19-21-22.09
4. induqcia-23-26.09
5. maTematikuri induqcia-27-28-29.09
6. induqciis nimuSebis ganxilva-30.09
7. usasrulod mcire da usasrulod didi mimdevrobebi-3-4.10
8. mimdevrobis zRvari-5.09
9. usasrulod klebadi geometriuli progresia-6-7.10
10. neperis ricxvi-10.10
11. Semajamebeli samuSao #1-11.10
|
| swavlebis Sedegi |
moswavle ganasxvavebs raionalur da
iracionalur ricxvebs, xsnis amocanebs venis diagramebis da grafebis gamoyenebiT, flobs dasabuTebis xerxs sruli
induqcia, rac gulisxmobs daskvnis gamotanas yvela SemTxvevis Sedegad,
sargeblobs maTematikuri induqciis xerxiT formulebis damtkicebisas, SeuZlia
usasrulod did da mcire mimdevrobebis interpretacia, mimdevrobis zRvaris gamoyenebis magaliTebiT
iracionaluri ricxvebis agebis gaazreba
|
| saswavlo
kursis Sefaseba |
SefasebisTvis viyeneb ganmsazRvrel
Sefasebas: saSinao davalebaSi, gakveTilze aqtiurobaSi, gamokiTxvaSi,
jgufur samuSaoSi, Semajamebel samuSaoSi.kursis bolos viyeneb ganmaviTarebel
Sefasebas
|
| komponentebi
|
instruqcia
|
| saswavlo kursis saxelwodeba |
maTematika
|
| saswavlo kursis
xangrZlivoba |
I semestri,
12.10-1.11
|
| saswavlo kursis statusi |
XI
klasi, saSualo
|
| maswavlebeli |
xoxaSvili
inga
|
| saswavlo kursis gavlis winapiroba |
moswavle iyenebs monacemTa Segrovebis xerxebs,
iyenebs istoriul wyaroebs, irCevs monacemTa warmodgenis Sesaferis formas,
iTvlis xdomilobaTa albaTobebs, msjelobs gansxvavebaze mosalodnel da
eqsperimentul Sedegs Soris, msjeloba albaTuri modelebis gamoyenebis Sesaxeb
dazRvevaSi, sociologiur kvlevebSi, mohyavs albaTur-statistikuri modelebis
gamoyenebis magaliTebi bunebismetyvelebaSi da medicinaSi
|
| saswavlo kursis mizani |
vecnobiT
statistikuri monacemebis Segrovebis xerxebs-dakvirvebas, aRricxvas
anketirebas, eqsperiments, Segrovili monacemebis optimaluri xerxiT
warmodgenis organizebisa da Sesabamisi daskvnebis gamotanis unaris gamomuSaveba,
monacemTa ricxviTi maxasiaTeblebis gaxseneba da konkretul praqtikul
situaciebSi am maxasiaTeblebis gamoyenebis Cvevebis gamomuSaveba
|
| saswavlo kursis Sinaarsi |
1.
monacemTa Segroveba-12-13.10
2.
proeqti-17.10
3.
dagrovili sixSire da rangi-18-19-20.10
4.
monacemTa warmodgenis xerxebi-21-24.10
5.
proeqti-25.10
6.
Semajamebeli ricxviTi maxasiaTeblebi-26-27-28-31.10
7.
Semajamebeli samuSao #2-1.11
|
| swavlebis Sedegi |
moswavle moipovebs dasmuli amocanis amosaxsnelad
saWiro monacemebs, warmoadgens xelsayreli formiT da axdens maT
interpretacias, akeTebs monacemTa analizs da ayalibebs daskvnebs, SeuZlia
eqsperimentis gegmis Sedgena, sixSireTa ganawilebis warmodgena grafikuli
xerxiT, sixSireTa ganawilebis diagramis, poligonis ogivas aRwera
|
| saswavlo kursis Sefaseba |
SefasebisTvis viyeneb ganmsazRvrel
Sefasebas: saSinao davalebaSi, gakveTilze aqtiurobaSi, gamokiTxvaSi,
proeqtebSi, Semajamebel samuSaoSi.
kursis
bolos viyeneb ganmaviTarebel Sefasebas
|
| literatura |
. ,,maTematika”-vefxvaZe,
gogiSvili, mebonia, qurCiSvili
|
| komponentebi |
instruqcia
|
| saswavlo kursis saxelwodeba |
maTematika
|
| saswavlo kursis xangrZlivoba |
I semestri, 2.11-30.11
|
| saswavlo kursis statusi |
XI klasi, saSualo
|
| maswavlebeli |
xoxaSvili inga
|
| saswavlo kursis gavlis winapiroba |
moswavlem unda icodes gansxvaveba monakveTsa da veqtors Soris,
veqtorebis Sekrebis geometriuli xerxebi, sakoordinato sistemaSi orientacia, wrfeebisa
da sibrtyeebis ganlagebaze warmodgena
|
| saswavlo kursis mizani |
veqtoris cnebis aTviseba da sxvadasxva sidideebs Soris veqtoruli
sidideebis gamorCevis unaris gamomuSaveba, veqtoris koordinatebiT gamosaxvis
unar-Cvevebis gamomuSaveba, veqtorebze moqmedebebis warmoeba, veqtoris daSla
sakoordinato RerZebis mimarT, moswavleebSi sivrculi warmodgenebis ganviTareba
|
| saswavlo kursis Sinaarsi |
1. veqtori-2-3.11
2. veqtoris koordinatebi-4-7.11
3. veqtoris ricxvze gamravleba. veqtorTa
Sekreba-8-9-10.11
4. veqtoris daSla sakoordinato RerZebis
mimarT-11-14-15.11
5. veqtoris gamoyeneba-16-17.11
6. veqtorebis praqtikuli gamoyenebis
magaliTebi-18-21.11
7. sivrceSi wertilebis, wrfeebis,
sibrtyeebis ganlagebis Sesaxeb-22-24.11
8. proeqti-25.11
9. wrfisa da sibrtyis paraleluroba-28-29.11
10. Semajamebeli samuSao #3-30.11
|
| swavlebis Sedegi |
moswavles SeuZlia toli da TanamimarTuli
veqtorebis amocnoba, sibrtyeze gamosaxva, veqtoris koordinatebis da modulis
daTvla, veqtorebze operaciebis interpretacia, veqtoris daSla sakoordinato
RerZebis mimarT, veqtorebs Soris kuTxis povna, amocanebis amoxsnisas iyenebs
veqtorebs Soris damokidebulebas, SeuZlia geometriuli debulebebis dasabuTeba
veqtoruli meTodiT
|
| saswavlo
kursis Sefaseba |
SefasebisTvis viyeneb ganmsazRvrel
Sefasebas: saSinao davalebaSi, gakveTilze aqtiurobaSi, gamokiTxvaSi,
proeqtSi, Semajamebel samuSaoSi.kursis bolos viyeneb ganmaviTarebel
Sefasebas
|
| literatura |
. ,,maTematika”-vefxvaZe, gogiSvili, mebonia, qurCiSvili
|
| komponentebi |
instruqcia
|
| saswavlo kursis saxelwodeba |
maTematika
|
| saswavlo kursis xangrZlivoba |
I semestri, 1.12-23.12
|
| saswavlo kursis statusi |
XI klasi, saSualo
|
| maswavlebeli |
xoxaSvili inga
|
| saswavlo kursis gavlis winapiroba |
moswavles SeuZlia toli da TanamimarTuli
veqtorebis amocnoba, sibrtyeze gamosaxva, veqtoris koordinatebis da modulis
daTvla, veqtorebze operaciebis interpretacia, veqtoris daSla sakoordinato
RerZebis mimarT, veqtorebs Soris kuTxis povna, amocanebis amoxsnisas iyenebs
veqtorebs Soris damokidebulebas, SeuZlia geometriuli debulebebis dasabuTeba
veqtoruli meTodiT
|
| saswavlo kursis mizani |
mravalwaxnagebis kerZo saxeebis Seswavla da Slilebis agebis unaris
gamomuSaveba, skalaruli namravlis gamoyenebiT amocanebis amoxsnis unaris
gamomuSaveba, ori sibrtyis paralelurobis niSnebis ganxilva, mravalwaxnagebis
gamosaxulebaTa agebis unarebis gamomuSaveba
|
| saswavlo kursis Sinaarsi |
1. mravalwaxnagebi-1-2.12
2. jgufuri samuSao-5.12
3. ori veqtoris skalaruli namravli-5-6.12
4. skalaruli namravlis warmodgena koordinatebiT-7-8.12
5. skalaruli namravlis gamoyeneba-9.12
6. wrfisa da sibrtyis marTobuloba-12-13.12
7. ori sibrtyis paraleluroba-14-15-16.12
8. sivrculi figuris gamosaxva sibrtyeze paraleluri dagegmilebisas-19-20-21.12
10. Semajamebeli samuSao #4-22.12
|
| swavlebis Sedegi |
moswavle ganasxvavebs sivrcul figurebs,
SeuZlia maTi daxazva, icis maTi Tvisebebi, poulobs ori veqtoris skalarul
namravls veqtorebs Soris kuTxis daxmarebiT, msjelobs sivrculi figuris kveTis
SesaZlo formaze da agebs miTiTebul kveTas, poulobs figuris gegmils paraleluri
dagegmilebisas, msjelobs figuris SesaZlo formaze misi anasaxis mixedviT
paraleluri dagegmilebisas
|
| saswavlo
kursis Sefaseba |
SefasebisTvis viyeneb ganmsazRvrel
Sefasebas: saSinao davalebaSi, gakveTilze aqtiurobaSi, gamokiTxvaSi,
jgufur samuSaoSi, proeqtSi, Semajamebel samuSaoSi.kursis bolos viyeneb ganmaviTarebel
Sefasebas
|
| literatura |
. ,,maTematika”-vefxvaZe, gogiSvili, mebonia, qurCiSvili
|
semestris
bolos vwerT I semestris Semajamebel samuSaos, romelic moicavs mTeli semestris
gavlil masalas-------
miRebuli Sefaseba gavlenas ar axdens semestrul niSanze
| komponentebi |
instruqcia
|
| saswavlo kursis saxelwodeba |
maTematika
|
| saswavlo kursis xangrZlivoba |
II semestri, 20.01-10.02
|
| saswavlo kursis statusi |
XI klasi, saSualo
|
| maswavlebeli |
xoxaSvili inga
|
| saswavlo kursis gavlis winapiroba |
moswavlem icis veqtorebis ganmarteba, poulobs mis koordinatebs,
moduls, krebs veqtorebs algebrulad da geometriulad, icis veqtoris ricxvze
gamravleba
|
| saswavlo kursis mizani |
moswavleebma Seiswavlon veqtorebi sivrceSi, maTi Tvisebebi, maTze
moqmedebebi, orwaxnaga kuTxeebi, marTobuli sibrtyeebi, sivrcis orientaciis
cnebis gaazreba
|
| saswavlo kursis Sinaarsi |
1. veqtorebi sivrceSi. komplanaruloba. moqmedebebi veqtorebze-20-23.01
2. koordinatebi sivrceSi-24-25.01
3. veqtoruli namravli-26-27.01
4. sivrcul figuraTa SeswavlaSi veqtorebis gamoyeneba-30-31.01
5. kuTxe wrfesa da sibrtyes Soris-1-2-3.02
6. jgufuri samuSao-6.02
7. orwaxnaga kuTxe. ori sibrtyis marTobuloba-7-8-9.02
8. Semajamebeli samuSao #5-10.02
|
| swavlebis Sedegi |
moswavle axdens veqtoris sigrZisa da mimarTulebis,
veqtorebze operaciebis (Sekreba, skalarze gamravleba, skalaruli/veqtoruli
namravli) da maTi Tvisebebis geometriul da fizikur interpretacas. agebs
sivrculi figuris miTiTebul kveTas, poulobs figuris gegmils miTiTebuli
paraleluri dagegmilebisas, poulobs kuTxes wrfesa da sibrtyes Soris, agebs da
poulobs orwaxnaga kuTxeebs
|
| saswavlo
kursis Sefaseba |
SefasebisTvis viyeneb ganmsazRvrel
Sefasebas: saSinao davalebaSi, gakveTilze aqtiurobaSi, gamokiTxvaSi,
jgufur samuSaoSi, Semajamebel samuSaoSi.
kursis
bolos viyeneb ganmaviTarebel Sefasebas
|
| literatura |
. ,,maTematika”-vefxvaZe, gogiSvili, mebonia, qurCiSvili
|
| komponentebi |
instruqcia
|
| saswavlo kursis saxelwodeba |
maTematika
|
| saswavlo kursis xangrZlivoba |
II semestri, 13.02-29.02
|
| saswavlo kursis statusi |
XI klasi, saSualo
|
| maswavlebeli |
xoxaSvili inga
|
| saswavlo kursis gavlis winapiroba |
moswavle unda flobdes geometriuli gardaqmnebis Tvisebebs
|
| saswavlo kursis mizani |
ganamtkicos veqtorebze codna, iswavlos periodi da perioduli funqciebi,
gaiRrmavos codna geometriuli gardaqmnebis Sesaxeb: geometriuli gardaqmnebi
warmoadginos koordinatebiT da amoicnos koordinatebiT, grafikebis mixedviT
fesvebis, eqstremumebis, gansazRvris aris, mniSvnelobaTa aris povna
SeZlos,
|
| saswavlo kursis Sinaarsi |
1. perioduli procesebi da perioduli funqciebi-13-14-15.02
2. RerZuli da centruli simetriebi- 16-17.02
3. proeqti-20.02
4. paraleluri gadatana- 21-22.02
5. mobruneba-23-24.02
6. proeqti-27.02
7. Semajamebeli samuSao #6-29.02
|
| swavlebis Sedegi |
moswavle asaxelebs geometriuli figuris im
maxasiaTeblebs, romlebic ar icvleba mocemuli geometriuli gardaqmnisas,
figurebis Sesaxeb sxvadasxva monacemebis gamoyenebiT asabuTebs an uaryofs ori
geometriuli figuris ekvivalentobas mocemuli gardaqmnis tipis mixedviT, figuris
geometriul gardaqmnas sibrtyeze gamosaxavs dekartes koordinatebis saSualebiT,
asaxelebskoordinatebSi mocemuli geometriuli gardaqmnis SesaZlo tips
|
| saswavlo
kursis Sefaseba |
SefasebisTvis viyeneb ganmsazRvrel
Sefasebas: saSinao davalebaSi, gakveTilze aqtiurobaSi, gamokiTxvaSi, proeqtebSi,
Semajamebel samuSaoSi.
kursis
bolos viyeneb ganmaviTarebel Sefasebas
|
| literatura |
. ,,maTematika”-vefxvaZe, gogiSvili, mebonia, qurCiSvili
|
| komponentebi |
instruqcia
|
| saswavlo kursis saxelwodeba |
maTematika
|
| saswavlo kursis xangrZlivoba |
II semestri, 1.03-28.03
|
| saswavlo kursis statusi |
XI klasi, saSualo
|
| maswavlebeli |
xoxaSvili inga
|
| saswavlo kursis gavlis winapiroba |
moswavle unda icnobdes funqciis Tvisebebs, SeeZlos funqciis nulebis
povna, icodes periodulobis ganmarteba
|
| saswavlo kursis mizani |
moswavleebma Seiswavlon trigonometriuli funqciebi, maTi Tvisebebi,
daadginon luwoba-kentoba, aagon funqciebis grafikebi, Seiswavlon
trigonometriis formulebi
|
| saswavlo kursis Sinaarsi |
1. trigonometriuli funqciebi-1-2-5.03
2. tangensis perioduloba, funqciis mniSvnelobebi, nulebi, trig.
funqciebis niSnebi—6-7-9.03
3. luwi da kenti trigonometriuli funqciebi-12-13-14.03
4. dayvanis formulebi-15-16-19.03
5. trigonometriuli funqciebis grafikebi-20-21-22.03
6. Sekrebis formulebi-23-26-27.03
7. Semajamebeli samuSao #7-28.03
|
| swavlebis Sedegi |
moswavleebs SeuZliaT erTeulovan wrewirze
nebismieri kuTxis sinusis da kosinusis povna, SeuZliaT periodulobis gamoyeneba,
sargebloben ZiriTadi trigonometriuli igiveobebiT,adgenen trig. funqciebis
niSnebs meoTxedebis mixedviT, ganasxvaveben luw da kent funqciebs, SeuZliaT
nebismieri kuTxis trigonometriuli funqciebis daTvla dayvanis formulebis
gamoyenebiT, SeuZliaT trig.funqciebis grafikebis ageba
|
| saswavlo
kursis Sefaseba |
SefasebisTvis viyeneb ganmsazRvrel
Sefasebas: saSinao davalebaSi, gakveTilze aqtiurobaSi, gamokiTxvaSi,
Semajamebel samuSaoSi.
kursis
bolos viyeneb ganmaviTarebel Sefasebas
|
| literatura |
. ,,maTematika”-vefxvaZe, gogiSvili, mebonia, qurCiSvili
|
| komponentebi |
instruqcia
|
| saswavlo kursis saxelwodeba |
maTematika
|
| saswavlo kursis xangrZlivoba |
II semestri, 29.03-
|
| saswavlo kursis statusi |
XI klasi, saSualo
|
| maswavlebeli |
xoxaSvili inga
|
| saswavlo kursis gavlis winapiroba |
moswavlem unda icodes xarisxebi da maTze moqmedebebi, funqciis
Tvisebebi, Seqceuli funqciebi
|
| saswavlo kursis mizani |
moswavleebma Seiswavlon maCvenebliani da logariTmuli funqciebis
Tvisebebi, gamosaxulebaTa gamartiveba-gamoTvlebSi am TvisebaTa gamoyenebis
unar-Cvevebis gamomuSaveba, wrfivi daprogramebis ramdenime amocanis ganxilva,
simpleqs-meTodis damuSaveba
|
| saswavlo kursis Sinaarsi |
1. maCvenebliani funqcia-29-30.03
2. proeqti-2.04
3. logariTmuli funqcia-3-4-5.04
4. logariTmis Tvisebebi-6-1011.04
5. maCvenebliani da logariTmuli funqciebis
gamoyenebis magaliTebi-
6. wrfivi daprogramebis amocanebis amoxsnis
magaliTebi-
7. Semajamebeli samuSao #8-
|
| swavlebis Sedegi |
moswavleebi ganasxvaveben maCveneblian da
xarisxovan funqciebs, floben maCvenebliani funqciis Tvisebebs, ician logariTmis cneba da misi Tvisebebi, xsnian
martiv logariTmul da maCveneblian gantolebebs da utolobebs, SeuZliaT
maCvenebliani da logariTmuli funqciebis Tvisebebis gamoyeneba magaliTebSi,wrfivi
daprogramebis meTodebis gamoyeneba oprimizaciis problemebis gadaWrisas
|
| saswavlo
kursis Sefaseba |
SefasebisTvis viyeneb ganmsazRvrel
Sefasebas: saSinao davalebaSi, gakveTilze aqtiurobaSi, gamokiTxvaSi, proeqtSi,
Semajamebel samuSaoSi.
kursis
bolos viyeneb ganmaviTarebel Sefasebas
|
| literatura |
. ,,maTematika”-vefxvaZe, gogiSvili, mebonia, qurCiSvili
|
| komponentebi |
instruqcia
|
| saswavlo kursis saxelwodeba |
maTematika
|
| saswavlo kursis xangrZlivoba |
II semestri,
|
| saswavlo kursis statusi |
XI klasi, saSualo
|
| maswavlebeli |
xoxaSvili inga
|
| saswavlo kursis gavlis winapiroba |
moswavlem unda icodes monacemTa Segrovebis xerxebi, monacemTa
warmodgenis xerxebi, xdomilobebi, albaTobis daTvla
|
| saswavlo kursis mizani |
moswavleebma Seiswavlon kombinatorikis formulebi, xdomilobaTa
albaTobis formulebi, operaciebi xdomilobebze, geometriuli albaTobebi,
moduluri ariTmetika
|
| saswavlo kursis Sinaarsi |
1. kombinatorika-
2. ZiriTadi formulebi-
3. xdomilobaTa sivrce. xdomilobis albaToba-
4. operaciebi xdomilobebze-
5. geometriuli albaToba-
6. moduluri ariTmetika-
7. moduluri ariTmetikis gamoyeneba-
8. Semajamebeli samuSao #9-
|
| swavlebis Sedegi |
moswavle moipovebs dasmuli amocanis amosaxsnelad
saWiro monacemebs, warmoadgens monacemebs xelsayreli formiT da axdens maT
interpretacias, aRwers SemTxveviTobas albaTuri modelebis saSualebiT, akeTebs
monacemTa analizs da ayalibebs daskvnebs, iyenebs gadanacvlebaTa, wyobaTa da
jufTebaTa formulebs albaTuri amocanebis amoxsnisas, iTvlis geomertiul
albaTobas monakveTze da brtyel figuraze, iyenebs modulur ariTmetikas
informaciic daSifrasa da gaSifraSi
|
| saswavlo
kursis Sefaseba |
SefasebisTvis viyeneb ganmsazRvrel
Sefasebas: saSinao davalebaSi, gakveTilze aqtiurobaSi, gamokiTxvaSi,
Semajamebel samuSaoSi.
kursis
bolos viyeneb ganmaviTarebel Sefasebas
|
| literatura |
. ,,maTematika”-vefxvaZe, gogiSvili, mebonia, qurCiSvili
|
| komponentebi |
instruqcia
|
| saswavlo kursis saxelwodeba |
maTematika
|
| saswavlo kursis xangrZlivoba |
II semestri,
|
| saswavlo kursis statusi |
XI klasi, saSualo
|
| maswavlebeli |
xoxaSvili inga
|
| saswavlo kursis mizani |
sawavlo wlis ganmavlobaSi gavlili masalis gameoreba
|
| saswavlo kursis Sinaarsi |
1. gavimeoroT ZiriTadi sakiTxebi-
2. Semajamebeli samuSao #10-
|
| swavlebis Sedegi |
moswavle flobs yvela im sakiTxebis codnas,
romelic gaTvaliswinebulia erovnuli sawavlo gegmiT
|
| saswavlo
kursis Sefaseba |
SefasebisTvis viyeneb ganmsazRvrel
Sefasebas: saSinao davalebaSi, gakveTilze aqtiurobaSi, gamokiTxvaSi,
Semajamebel samuSaoSi.
kursis
bolos viyeneb ganmaviTarebel Sefasebas
|
| literatura |
. ,,maTematika”-vefxvaZe, gogiSvili, mebonia, qurCiSvili
|
wlis bolos vwerT wlis Semajamebel samuSaos, romelic
moicavs mTeli wlis gavlil masalas-------
miRebuli Sefaseba gavlenas axdens wliur
niSanze
VI klasi
| komponentebi |
instruqcia
|
| saswavlo kursis saxelwodeba |
maTematika
|
| saswavlo kursis xangrZlivoba |
I semestri, 15.09-20.10
|
| saswavlo kursis statusi |
VI klasi,dawyebiTi
|
| maswavlebeli |
xoxaSvili inga
|
| saswavlo kursis gavlis winapiroba |
moswavle unda flobdes naturalur ricxvebze moqmedebebs
|
| saswavlo kursis mizani |
moswavleebma gaimeoron da ganamtkicon aTobiTi poziciuri sistemis
gamoyenebiT ricxvebis gamosaxva, Sedareba, dalageba, ganaviTaron usg-s da
usj-s gamoTvlis unar-Cvevebi, moswavleebma ganiviTaron wiladebze ariTmetikuli
moqmedebebis Sesrulebis unar-Cvevebi,
|
| saswavlo kursis Sinaarsi |
1. ricxvis gamyofi da jeradi-15-16.09
2. terminebi gamyofi da jeradi-19-20.09
3. usg-22-23.09
4. usj-26-27.09
5. Secdomebisa da sinjvis xerxi-29.09
6. amowurvis xerxi-30.09
7. variantebis daTvla-01.10
8. naturaluri ricxvebi da wiladi-3.10
9. wiladis Sekveca-4.10
10. wiladebis gaerTmniSvnelianeba- 5-6.10
11. wiladebis Sedareba-7.10
12. sxvadasxvamniSvneliani wiladebis Sekreba- gamokleba -10.10
14. wiladebis gamravleba- gayofa-11-13.10
15. Semajamebeli samuSao # 1-17.10
|
| swavlebis Sedegi |
ramdenime mocemuli cifriT SeuZlia udidesi da
umciresi ricxvebis Cawera, wiladSi uTitebs mTel da wilad nawilebs, mricxvels
da mniSvnels, SeuZlia wiladebis Sekreba-gamokleba, iyenebs amowurvis da
gamoricxvis xerxebs da naSTiT gayofas amocanebis amoxsnisas, SeuZlia
gamravlebis nimuSSi gamotovebuli cifrebis Casma
|
| saswavlo
kursis Sefaseba |
SefasebisTvis viyeneb ganmsazRvrel
Sefasebas: saSinao davalebaSi, gakveTilze aqtiurobaSi, gamokiTxvaSi,
Semajamebel samuSaoSi.
kursis
bolos viyeneb ganmaviTarebel Sefasebas
|
| literatura |
. ,,maTematika”-ruxaZe
|
| komponentebi |
instruqcia
|
| saswavlo kursis saxelwodeba |
maTematika
|
| saswavlo kursis xangrZlivoba |
I semestri, 18.10-07.11
|
| saswavlo kursis statusi |
VI klasi, dawyebiTi
|
| maswavlebeli |
xoxaSvili inga
|
| saswavlo kursis gavlis winapiroba |
moswavleebma unda ganasxvavon mricxveli da mniSvneli, SeeZloT
wiladebis gadaqceva arawesier wiladebad da piriqiT
|
| saswavlo kursis mizani |
ganiviTaron aTwiladebis wakiTxvis, Caweris, gamosaxvis unar-Cvevebi,
iswavlon aTwiladebis Sedareba da damrgvaleba , maTze maTematikuri moqmedebebi
|
| saswavlo kursis Sinaarsi |
1. aTwiladebis Cawera da gamosaxva ricxviT sxivze-18-20.10
2. aTwiladebis Sedareba, damrgvaleba-21-24-25.10
3. aTwiladebis Sekreba-gamokleba-gamravleba-gayofa-27-28-31.10---1-3-4.11
4. Semajamebeli samuSao #2-7.11
|
| swavlebis Sedegi |
gamosaxavs aTwiladebs, kiTxulobs Tanrigebs,
gamosaxavs wilads ukveci formiT, amrgvalebs wiladebs mocemuli sizustiT, poulobs
ucnob Sesakrebs da saklebs, an maklebs, an sxvaobas, poulobs ucnob gamyofs da
ucnob Tanamamravls
|
| saswavlo
kursis Sefaseba |
SefasebisTvis viyeneb ganmsazRvrel
Sefasebas: saSinao davalebaSi, gakveTilze aqtiurobaSi, gamokiTxvaSi,
Semajamebel samuSaoSi.
kursis
bolos viyeneb ganmaviTarebel Sefasebas
|
| literatura |
. ,,maTematika”-ruxaZe
|
| komponentebi |
instruqcia
|
| saswavlo kursis saxelwodeba |
maTematika
|
| saswavlo kursis xangrZlivoba |
I semestri, 8.11-29.11
|
| saswavlo kursis statusi |
VI klasi, dawyebiTi
|
| maswavlebeli |
xoxaSvili inga
|
| saswavlo kursis gavlis winapiroba |
moswavleebma unda icodnen geometriuli figurebis cnoba, ageba, SeeZloT
saxazaviT da sazomi lentiT sargebloba
|
| saswavlo kursis mizani |
moswavleebma ganiviTaron simetriis RerZis mimarT brtyeli figuris
simetriuli figuris agebis unar-Cvevebi, iswavlon figuris paraleluri gadatana,
Sesabamisi terminologiiT aRweron figuris adgilmdebareoba
|
| saswavlo kursis Sinaarsi |
1. simetriuli figurebi, simetriis RerZi-8-10.11
2. manZili-11.11
3. simetriuli wertilebis ageba, paraleluri gadatana-14-15-17.11
4. wrewirisa da wrfis ganlageba, wrewirebis ganlageba-18-21.11
5. wrewiris sigrZe-24-25.11
6. birTvi, sfero, mravalwaxnagebi-28.11
7. Semajamebeli samuSao #3-29.11
|
| swavlebis Sedegi |
moswavles SeuZlia sivrculi figurebis
amocnoba, aRwera da sxvadasxva xerxiT gamosaxva, axdens brtyeli figuris
paralelur gadatanas, ise, rom miTiTebuli wertili gadayavs sibrtyis miTiTebul
wertilSi, agebs ujrian furcelze mocemulis simetriul figuras, poulobs
simetriis RerZs, iyenebs eileris formulas sivrculi figurebis elementebis
raodenobis dasadgenad, akeTebs daskvnas sibrtyeze wrewirebis ganlagebis
Sesaxeb centrebs Soris manZilisa da radiusebis gamoyenebiT
|
| saswavlo
kursis Sefaseba |
SefasebisTvis viyeneb ganmsazRvrel
Sefasebas: saSinao davalebaSi, gakveTilze aqtiurobaSi, gamokiTxvaSi,
Semajamebel samuSaoSi.
kursis
bolos viyeneb ganmaviTarebel Sefasebas
|
| literatura |
. ,,maTematika”-ruxaZe
|
| komponentebi |
instruqcia
|
| saswavlo kursis saxelwodeba |
maTematika
|
| saswavlo kursis xangrZlivoba |
I semestri, 1.12-22.12
|
| saswavlo kursis statusi |
VI klasi, dawyebiTi
|
| maswavlebeli |
xoxaSvili inga
|
| saswavlo kursis gavlis winapiroba |
moqmedebaTa Tanamimdevroba algebrul gamosaxulebeb-Si, ganrigebadobis
kanonis gamoyeneba, ucnobis povna umartives gantolebebSi
|
| saswavlo kursis mizani |
moswavleebma ganiviTaron tolobis, utolobis, gantolebis Sedgenis
unar-Cvevebi, algebruli gamosaxulebebis Sedgena, gamartiveba, gamoyeneba
|
| saswavlo kursis Sinaarsi |
1. CavweroT amocana maTematikur enaze-1.12
2. gamoviyenoT maTematikuri modelebi-2-5.12
3. koeficienti-6-8.12
4. msgavsi wevrebi-9-12.12
5. amovxsnaT gantoleba-13-15-16.12
6. gavlili masalis gameoreba-19-20.12
7. Semajamebeli samuSao #4-22.12
|
| swavlebis Sedegi |
poulobs ucnob gamyofs ganayofiTa da
gasayofiT, poulobs ucnob Tanamamravls meore TanamamravliTa da namravliT,
amocanis amosaxsnelad Sedgenili gantolebis mixedviT adgens ra gavlenas axdens
erTi sididis cvlileba amonaxsnze, iyenebs komutaciurobis, asociaciurobis da
distribuciulobis Tvisebebs asoiTi gamosaxulebebis gasamartiveblad da
eqvivalenturobis dasadgenad
|
| saswavlo
kursis Sefaseba |
SefasebisTvis viyeneb ganmsazRvrel
Sefasebas: saSinao davalebaSi, gakveTilze aqtiurobaSi, gamokiTxvaSi,
Semajamebel samuSaoSi.
kursis
bolos viyeneb ganmaviTarebel Sefasebas
|
| literatura |
. ,,maTematika”-ruxaZe
|
| komponentebi |
instruqcia
|
| saswavlo kursis saxelwodeba |
maTematika
|
| saswavlo kursis xangrZlivoba |
I semestri, 20.01-10.02
|
| saswavlo kursis statusi |
VI klasi, dawyebiTi
|
| maswavlebeli |
xoxaSvili inga
|
| saswavlo kursis gavlis winapiroba |
moswavleebma ician ariTmetikuli moqmedebebi naturalur ricxvebze,
wiladebze da aTwiladebze,
|
| saswavlo kursis mizani |
moswavleebma gaiTavison proporciis arsi, ganiviTaron sidideebs Soris
damokidebulebis gamosaxvis, gavrcobis Cvevebi, iswavlon proporciulobis
gamoyeneba bunebismetyvelebis dargebidan momdinare amocanebis amoxsnisas,
|
| saswavlo kursis Sinaarsi |
1. sidideebs Soris damokidebuleba-20-23.01
2. proporciulobis cxrili-24-26.01
3. proporcia, misi ZiriTadi Tviseba, wevrebis gadanacvleba-27-30.01
4. pirdapirproporciuli da ukuproporciuli damokidebuleba-31.01-2-3.02
5. masStabi, proporciuli gayofa-6-7-9.02
6. Semajamebeli samuSao #5-10.02
|
| swavlebis Sedegi |
moswavle iyenebs wiladis ZiriTad Tvisebas,
iyenebs ariTmetikul moqmedebaTa Tvisebebs, amrgvalebs aTwiladebs mocemuli
sizustiT poulobs gamyofs ganayofiTa da gasayofiT,iyenebs proporciulobas da Sefasebas bunebismetyvelebis
|
| saswavlo
kursis Sefaseba |
SefasebisTvis viyeneb ganmsazRvrel
Sefasebas: saSinao davalebaSi, gakveTilze aqtiurobaSi, gamokiTxvaSi,
Semajamebel samuSaoSi.
kursis
bolos viyeneb ganmaviTarebel Sefasebas
|
| literatura |
. ,,maTematika”-ruxaZe
|
| komponentebi |
instruqcia
|
| saswavlo kursis saxelwodeba |
maTematika
|
| saswavlo kursis xangrZlivoba |
I semestri, 13.02-06.03
|
| saswavlo kursis statusi |
VI klasi, dawyebiTi
|
| maswavlebeli |
xoxaSvili inga
|
| saswavlo kursis gavlis winapiroba |
moqmedebebi naturalur ricxvebze da wiladebze
|
| saswavlo kursis mizani |
moswavleebma ganiviTaron zomis sxvadasxva erTeulebis erTmaneTTan
dakavSirebisa da gamoyenebis unar-Cvevebi, iswavlon drois sartyelebis
gaTvaliswinebiT sxvadasxva qalaqSi drois gamoTvla
|
| saswavlo kursis Sinaarsi |
1. sigrZe da aTwiladi, sazomi erTeulebi-13-14.02
2. moqmedebebi sigrZis erTeulebze-16.02
3. masa da aTwiladi, erTeulebi masis da maTze
moqmedebebi-17-20-21-23.02
4. drois sartyeli, nakiani weli-24-27-28.02-01.03
5. sidideebis gazomvis metruli sistema-2-5.03
6. Semajamebeli samuSao #6-06.03
|
| swavlebis Sedegi |
iyenebs aTwiladebze gamravlebas zomis mcire
erTeulis did erTeulTan Tanafardobis gamosaxvisaTvis, iyenebs codnas drois
sartyelebis Sesaxeb, drois erTeulebs Soris Tanafardobebs da
moqmedebebs,Tvisebrivad da raodenobrivad aRwers , Tu ra gavlenas axdens erTi
sididis cvlileba masze damokidebul meore sidideze
|
| saswavlo
kursis Sefaseba |
SefasebisTvis viyeneb ganmsazRvrel
Sefasebas: saSinao davalebaSi, gakveTilze aqtiurobaSi, gamokiTxvaSi, Semajamebel samuSaoSi.
kursis
bolos viyeneb ganmaviTarebel Sefasebas
|
| literatura |
. ,,maTematika”-ruxaZe
|
| komponentebi |
instruqcia
|
| saswavlo kursis saxelwodeba |
maTematika
|
| saswavlo kursis xangrZlivoba |
I semestri, 09.03-05.04
|
| saswavlo kursis statusi |
VI klasi, dawyebiTi
|
| maswavlebeli |
xoxaSvili inga
|
| saswavlo kursis gavlis winapiroba |
moswavleebs unda SeeZloT konkretuli brtyeli figurebis daxazva, erTi
figuris gadafarva sxva geometriuli figurebiT
|
| saswavlo kursis mizani |
moswavleebma ganiviTaron brtyeli figuris farTobis gamoTvlis
unar-Cvevebi, iswavlon sigrZisa da farTobis erTeulebis erTmaneTTan
dakavSireba
|
| saswavlo kursis Sinaarsi |
1. toldidi figurebi-, farTobis erTeulebi-9-12-13-15.03
2. samkuTxedis, trapeciis, mravalkuTxedis
farTobebi-16-19-20-22-23-26.03
3. wris farTobi-27-29.03
4. mravalwaxnagas farTobi-30.03-02-03.04
5. Semajamebeli samuSao #7-05.04
|
| swavlebis Sedegi |
iyenebs aTwiladebze gamravlebas zomis mcire
erTeulis did erTeulTan Tanafardobis gamosaxvisaTvis, erTmaneTTan akavSirebs
farTobis erTeulebs, faravs brtyel figuras kvadratuli erTgvarovani badiT da
afasebs mis farTobs, realur viTarebaSi poulobs marTkuTxa obieqtis farTobs da
Sedegs warmoadgens Sesaferis erTeulebSi, iyenebs farTobis adiciurobas
farTobis gamoTvlaze praqtikuli amocanebis gadaWrisas
|
| saswavlo
kursis Sefaseba |
SefasebisTvis viyeneb ganmsazRvrel
Sefasebas: saSinao davalebaSi, gakveTilze aqtiurobaSi, gamokiTxvaSi,
Semajamebel samuSaoSi.
kursis
bolos viyeneb ganmaviTarebel Sefasebas
|
| literatura |
. ,,maTematika”-ruxaZe
|
| komponentebi |
instruqcia
|
| saswavlo kursis saxelwodeba |
maTematika
|
| saswavlo kursis xangrZlivoba |
I semestri,
|
| saswavlo kursis statusi |
VI klasi, dawyebiTi
|
| maswavlebeli |
xoxaSvili inga
|
| saswavlo kursis gavlis winapiroba |
moswavleebi ganasxvaveben brtyel da sivrcul figurebs, SeuZliaT
miaxloebiTi naxazebis daxazva , SeuZliaT yofiTi sagnebidan paralelepipedis da
kubis amocnoba
|
| saswavlo kursis mizani |
moswavleebma ganiviTaron sivrciTi figurebis moculobis gamoTvlis
unar-Cvevebi, iswavlon moculobis EerTeulebis erTmaneTTan dakavSireba
|
| saswavlo kursis Sinaarsi |
1. moculoba, moculobis erTeulebi, paralelepipedis moculoba-
2. tevadoba, tevadobis erTeulebi-
3. tevadoba da moculoba-
4. tevadobis gansxvavebuli sazomi erTeulebi-
5. Semajamebeli samuSao #8-
|
| swavlebis Sedegi |
erTmaneTTan akavSirebs sigrZis, farTobis da
moculobis EerTeulebs, iyenebs proporciulobas, adgens tolobas, utolobas an
gantolebas, iyenebs komutaciurobis, asociaciurobis da distribuciulobis
Tvisebebs asoiTi gamosaxulebebis gasamartiveblad, adarebs moculobebs,
moculobis gasazomad iyenebs yvelaze adeqvatur erTeulebs
|
| saswavlo
kursis Sefaseba |
SefasebisTvis viyeneb ganmsazRvrel
Sefasebas: saSinao davalebaSi, gakveTilze aqtiurobaSi, gamokiTxvaSi,
Semajamebel samuSaoSi.
kursis
bolos viyeneb ganmaviTarebel Sefasebas
|
| literatura |
. ,,maTematika”-ruxaZe
|
| komponentebi |
instruqcia
|
| saswavlo kursis saxelwodeba |
maTematika
|
| saswavlo kursis xangrZlivoba |
I semestri,
|
| saswavlo kursis statusi |
VI klasi, dawyebiTi
|
| maswavlebeli |
xoxaSvili inga
|
| saswavlo kursis gavlis winapiroba |
moswavles unda SeeZlos msjeloba
da dasabuTeba garkveuli sakiTxebis, logikuri cnebebis adeqvaturad gamoyeneba,
kiTxvarebis Sedgena, martivi eqsperimentebis Catareba
|
| saswavlo kursis mizani |
moswavleebma ganiviTaron terminebis meSveobiT ricxvTa Tvisebebis an
ricxvTa erTobliobebs Soris mimarTebebis dadgenis unar-Cvevebi, iswavlon
zogadi da kerZo tipis mimarTebebis gamoyeneba, monacemebis mowesrigeba da
xelsayreli formiT warmodgena, Tvisobrivi da raodenobrivi monacemebis mopoveba
|
| saswavlo kursis Sinaarsi |
1. maTematikuri ena, formulebi, gamonaTqvami-
2. xazovani, wriuli, xisebri diagramebi-
3. SemTxveviTi movlena-
4. eqsperimentebi SemTxveviTi xdomilobebiT-
5. Semajamebeli samuSao #9-
|
| swavlebis Sedegi |
sworad iyenebs terminebs,,yvela”, ,,yoveli”,
,,TiToeuli”....ricxvebis Tvisebebis an ricxvTa erTobliobebs Soris
mimarTebebis dadgenisas, iyenebs zogadi-kerZo tipis mimarTebebs da msjelobs
ricxviTi Tvisebebis kanonzomierebis Sesaxeb mocemuli gamonaTqvamis
marTebulobis Sesaxeb, axdens mza kiTxvariT gamokiTxvas da agrovebs
monacemebs, atarebs martiv statistikur eqsperiments, axdens monacemTa
klasifikacias, agebs diagramebs
|
| saswavlo
kursis Sefaseba |
SefasebisTvis viyeneb ganmsazRvrel
Sefasebas: saSinao davalebaSi, gakveTilze aqtiurobaSi, gamokiTxvaSi,
Semajamebel samuSaoSi.
kursis
bolos viyeneb ganmaviTarebel Sefasebas
|
| literatura |
. ,,maTematika”-ruxaZe
|
| komponentebi |
instruqcia
|
| saswavlo kursis saxelwodeba |
maTematika
|
| saswavlo kursis xangrZlivoba |
I semestri,
|
| saswavlo kursis statusi |
VI klasi, dawyebiTi
|
| maswavlebeli |
xoxaSvili inga
|
| saswavlo kursis gavlis winapiroba |
moswavleebs SeuZliaT monacemebis mopoveba sxvadasxva gziT, maTi
klasifikacia, diagramebis ageba da wakiTxva
|
| saswavlo kursis mizani |
moswavleebma ganiviTaron
Tvisobriv da raodenobriv
monacemTa
interpretaciisa da elamentaruli anali-
zis unar-Cvevebi,
daTvalon ricxviTi maxasiaTeblebi
da gamoiyenon isini
monacemTa erTobliobis dasaxasi-
aTeblad
|
| saswavlo kursis Sinaarsi |
1. SemTxveviTi movlenis sixSire da albaToba
2. monacemTa saSualo, moda, mediana, diapazoni-
3. sakvanZo sakoTxebi-
4. gavlili masalis gameoreba-
5. Semajamebeli samuSao #10-
|
| swavlebis Sedegi |
moswavle iTvlis Semajamebel ricxviT
maxasiaTeblebs diskretuli raodenobrivi monacemebisaTvis da iyenebs maT
monacemTa erTobliobis dasaxasiaTeblad, adarebs monacemTa ramdenime
erTobliobas maTi winaswar mocemuli statistikuri maxasiaTeblebis saSualebiT,
poulobs monacemTa erTobliobaSi arsebul kanonzomierebebs da msjelobs maTze
|
| saswavlo
kursis Sefaseba |
SefasebisTvis viyeneb ganmsazRvrel
Sefasebas: saSinao davalebaSi, gakveTilze aqtiurobaSi, gamokiTxvaSi,
Semajamebel samuSaoSi.
kursis
bolos viyeneb ganmaviTarebel Sefasebas
|
| literatura |
. ,,maTematika”-ruxaZe
|
