diagramis ageba:sTxoveT moswavleebs gamoTvalon saSualod dRe–Ramis ra nawils andomebenmecadineobas da gamoTvalon Sesabamisi centraluri kuTxe. Semdeg transportirissaSualebiT aagon centraluri kuTxe da Sesabamisi seqtori. zedve waaweron„mecadineoba“ da Sesabamisi saaTebis raodenoba (sasurvelia Tu dros gamovsaxavTwilad nawilebSi, procentebSi). aseve aagebineT seqtori, romelic SeesabamebagarTobaze, Zilze da sxvadasxva qmedebaze daxarjul dros.aqve sasurvelia daisvas kiTxva, Tu ukve agebuli kuTxis Semdeg saidan unda aizomosmomdevno kuTxe.samuSaos dasrulebis Semdeg kargi iqneba aseTi kiTxviT mivmarToT moswavleebs:xom ar SeiZleboda sxva xerxiT agvego diagrama, dasaxmareblad SesaZloa yuradRebamivaqcevinoT (SekiTxvis saSualebiT) imaze, rom centralur kuTxeebsa da Sesabamisdroebs Soris pirdapirproporciuli damokidebuleba arsebobs. amiT bavSvebiTavad mivlen im daskvnamde, rom 360°–iani kuTxe saWiroa daiyos daxarjul droTaproporciul nawilebad.sTxoveT moswavleebs daakvirdnen miRebul Sedegebs, gaiTvaliswinon TavianTimoswreba da upasuxon kiTxvebs, rogor fiqroben SesaZlebelia Tu ara gazardonmecadineobaze gamoyofili dro, raTa ukeTesi Sedegebi miiRon, Tu amis miRweva sxvagzebiT umjobesia (drois optimalurad gamoyeneba, gakveTilze yuradRebis metadmobilizeba da a.S.).amis Semdeg zogierTi moswavle gamoviyvanoT dafasTan, romlebic warmoadgenenTavianT naSroms. sasurveli iqneba, Tu moswavleebi moifiqreben da momxsenebelsSekiTxvebs dausvamen.sazogadod, Tu Sefasebisas gaviTvaliswinebT, rogorc dasmuli kiTxvebis, asevepasuxebis efeqtianobas, es kidev erTi stimuli iqneba moswavleebisTvis codnisgasaRrmaveblad.da bolos, maswavlebels SeuZlia moswavleebs aseTi davaleba misces: aagon wriulidiagrama, romelic gamosaxavs samecadinod gamoyofili drois ganawilebas TiToeulisagnis momzadebaze.mocemuli aqtivoba saSualebas iZleva moxdes codnis gamoyeneba sxvadasxvamimarTulebebidan: „ricxvebi da gamoTvlebi“, „monacemTa analizi, statistikada albaToba“, „kanonzomierebebi da algebra“, „geometria da sivrcis aRqma“ daamasTan moswavles kidev erTxel miscems saSualebas dafiqrdes, raTa optimaluradgaanawilos dro swavlasa da dasvenebisaTvis.V Tavi. § 8. samkuTxedis Siga kuTxeebis jamimoswavleebi aRmoaCenen samkuTxedis Tvisebas (samkuTxedis Siga kuTxeebis jamisSesaxeb) modelebze manipulaciebis saSualebiT, asabuTeben debulebebs am TvisebisSesaxeb sxvadasxva xerxis gamoyenebiT. msjeloben dasabuTebis xerxebis sarwmunoobisSesaxeb.aqtivobis mizani:• moswavle gaiwafos amocanis konteqstis Sesabamisad geometriul obieqtTagamosaxvaSi;• Camouyalibdes kritikuli azrovneba, msjelobisa da dasabuTebis unari.22masc_cigni_VII_kl_cor.indd 22 03.07.2012 15:46:26
ZiriTadi SekiTxvebi:1. SeiZleba Tu ara figuris Tvisebis aRmoCena misi modelis gamoyenebiT?2. SesaZlebelia Tu ara sazomi xelsawyoebis gamoyenebiT figuris Tvisebis Sesaxebvaraudis gamoTqma?3. debulebis samarTlianobis dadgenis romeli xerxi migaCniaT ufro sarwmunod –zemoT CamoTvlili Tu dasabuTebis gziT miRebuli?savaraudo dro: 1 gakveTili.masala: didi zomis qaRaldi (formati), feradi furclebi, saxazavi, transportiri,fanqari webo, ...aqtivobis aRwera:1. gakveTili iwyeba saSinao davalebis analiziT (5 wuTi).2. maswavlebeli Txovs moswavleebs gaixsenon Seswavlili masala kuTxeebis Sesaxeb:gansazRvreba, klasifikacia, Tvisebebi, kuTxeTa jami da misi Tvisebebi da a.S. (5 wuTi).3. Semdeg klass dayofs oTx jgufad. ori jgufis davalebaa sxvadasxva saxeobissamkuTxedebis modelebis gamoyenebiT (mag. erTmaneTze midgmiT) gamoTqvasvaraudi samkuTxedis Siga kuTxeebis jamis Sesaxeb da moaxdinos Tavisi varaudissamarTlianobis demonstrireba.4. danarCen or jgufs vyofT wyvilebad, TiToeul wyvils eZleva davaleba gamoiyenostransportiri, gazomos da aRricxos sxvadasxva saxeobis samkuTxedebis kuTxeebida amis safuZvelze gamoTqvas varaudi samkuTxedis Siga kuTxeebis jamis Taobaze(sxvadasxva jgufs gamosakvlevad SeiZleba mieceT sxvadasxva saxeobis samkuTxedi)(10 wuTi).5. oTxive jgufi axdens Tavisi namuSevris prezentacias (10 wuTi).6. amiT Semdeg maswavleblis daxmarebiT moswavleebi kuTxeebis Sesaxeb maTTviscnobil debulebebze dayrdnobiT amtkiceben debulebas (10 wuTi).7. Semdeg imarTeba diskusia, Tu romeli xerxia ioli da romeli – sarwmuno (5 wuTi).8. maswavlebeli saSinao davalebad aZlevs moswavleebs daadginon samkuTxediskuTxeebTan dakavSirebuli romelime debuleba (mag. gare kuTxis Tviseba).V Tavi. § 12. monakveTis SuamarTobimoswavleebi aRmoaCenen monakveTis SuamarTobis Tvisebas modelebze manipulaciebissaSualebiT, asabuTeben debulebas am Tvisebis Sesaxeb.aqtivobis mizani:• moswavle gaiwafos amocanis konteqstis Sesabamisad geometriul obieqtTagamosaxvaSi;• SeZlos pirdapiri da Sebrunebuli winadadebebis gaazreba, Camoyalibeba;• SeZlos wertilTa geometriuli adgilis cnebis gamoyenebiT ganmartebis andebulebis Camoyalibeba.• Camouyalibdes kritikuli azrovnebis, msjelobisa da dasabuTebis unari.savaraudo dro: 1 gakveTili.aqtivobis aRwera:1. gakveTili iwyeba saSinao davalebis analiziT. ris Semdegac moswavleebs vaxsenebT23masc_cigni_VII_kl_cor.indd 23 03.07.2012 15:46:26
- Page 2 and 3: nana jafariZemaia wilosaninani wula
- Page 4 and 5: IV Tavi .. . . . . . . . . . . . .
- Page 6 and 7: erovnuli saswavlo gegmaწლის
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- Page 13 and 14: III Tavimonacemebi.cxrilebi.wriuli
- Page 18 and 19: gTavazobT ramdenime gakveTilis sani
- Page 20 and 21: aTwiladebiT. msjeloba SeiZleba gagr
- Page 25 and 26: aqtivobis aRwerademonstrireba: gakv
- Page 27 and 28: eziume:I Tavi1. gameorebamoswavlem
- Page 29 and 30: 13. a) ((2(x+1)+10):5+8)·3-6=30((2
- Page 31: 27. P=2(2x+12)=4(x+6)sigrZe x+12sig
- Page 34 and 35: 12. ipoveT, ra cifriT bolovdeba ric
- Page 36 and 37: 4. naSTi movZeboT rogorc cifrTa jam
- Page 38 and 39: 4. amocana gamodgeba jgufuri muSaob
- Page 40 and 41: 21. x+2x+3x=222.x=3722. I - x II -
- Page 42 and 43: 4. 144-isa da 162-is umciresi saerT
- Page 44 and 45: g) d)4. a) 1 wertili b) 3 wertili5.
- Page 47 and 48: 15. a) yvela meSvideklaseli wiTuria
- Page 50 and 51: Seamowme Seni codna1. wrfeze agebul
- Page 53 and 54: 6. (180°-130°)·2=100°.7. a=6m+2
- Page 56: 14. ar SeiZleba _ Tu A, B da C wert
- Page 61 and 62: 5. procenties gakveTili sasurvelia
- Page 63 and 64: amoxsnebi, miTiTebebi:2 # 1003. kla
- Page 65 and 66: amoxsnebi, miTiTebebi:AC1. g) BC=3.
- Page 67 and 68: 4. rioni — 300 km; enguri — 300
- Page 69 and 70: 2505. a) = 0, 2 =40020%; b) . 0,29
- Page 71 and 72: gaecnobiTIV TaviuaryofiT ricxvebs.
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eziume:3. ricxvis modulimoswavlem u
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amoxsnebi, miTiTebebi:6. WeSmaritia
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eziume:7. gamravlebis ganrigebadobi
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17. AC=2x da BC=5x; 7x=14, e.i. x=2
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25.iyorom yofiliyosiCqare x x+10man
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24. drois erTeulad CavTvaloT is dro
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amoxsnebi, miTiTebebi:1. a) 7; 10;
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eziume:3. grafikimoswavlem unda SeZ
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eziume:8. samkuTxedis kuTxeebis jam
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7. A(-2;-1) B 1(2;1).8.9.1 $ 10% +
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12. monakveTis SuamarTobireziume:mo
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amoxsnebi, miTiTebebi:2. ABC samkuT
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4. wertilidan wrfemde manZilis da s
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AP6. ∠BPN=∠NPB=45°.BNC8. a= b
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19. rombi, rombis farTobiamocanebi:
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11. a) simetriis centria diagonaleb
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24. samkuTxedis erT wverosTan mdeba
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sakontrolo wera №51. Tu A 1wertil
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8. b) 8x-3-(5-2x)=4,38x-3-5+2x=4,31
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OR12. B ∆OAB-Si AB
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9. kubebis jami da kubebis sxvaoba1