matematika 1.pmd

1

TinaTin beqauri nino gvilava

ekaterine CiloCava salome CxeiZe

maTematika 1maswavleblis wigni

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TinaTin beqauri, nino gvilava, ekaterine CiloCava, salome CxeiZe

maTematika

I klasi

maswavleblis wigni

rekomendebulia erovnuli saswavlo gegmebisa da Sefasebis centris mier. warmatebiT pilotirebulia saqarTvelos skolebSi

ganaTlebis reformis proeqt ̀ ilia WavWavaZis~ farglebSi 2005-2006 saswavlo wels.

redaqtorebi

lali baqraZe

solomon nozaZe

lali qadagiZe

konsultanti

jemal jinjixaZe

dizaini da dakabadoneba

nino guruli

© gamomcemloba `diogene~, 2007

yvela ufleba daculia

meore gamocema 2007

ISBN 978-99940-926-7-3

gamomcemloba `diogene~, Tbilisi, kekeliZis q. 6, telefoni 95 63 94, tel./faqsi 96 79 71

www.diogene.ge

3

yuradReba _ konkursi !

gamomcemloba `diogene~ acxadebs konkurss saqarTvelos zogadsaganmanaTleblo

skolebis dawyebiTi klasebis pedagogTaTvis.

• konkursi miznad isaxavs swavlebis Tanamedrove meTodebis gamoyenebaze orienti-

rebuli maswavleblebis gamovlenasa da waxalisebas.• konkursSi monawileoba ufasoa.• konkursSi monawileoba SeuZlia nebismier pedagogs, romelic saswavlo process I

da/an II klasebSi gamomcemloba “diogenes” mier gamocemuli maTematikis saxel-mZRvaneloTi warmarTavs.

• maswavleblebma sakonkursod unda warmoadginon maTive Seqmnili TvalsaCinoebebi

da damxmare masalebi (plakatebi, saklasifikacio saganTa originaluri kompleqtebi,baraTebi, loto da sxv.). masala unda eyrdnobodes maTematikis swavlebis Tana-medrove meTodikas, xels uwyobdes I da/an II klasebSi saxelmwifo standartiT gaT-

valiswinebuli miznebis miRwevas da saswavlo procesis gamravalferovnebas.• sakonkurso masalebi miiReba 2008 wlis maisSi.• sakonkurso masalebs daxuruli wesiT ganixilavs specialuri Jiuri. Sefasebisas

gadamwyveti mniSvneloba mieniWeba masalis saganmanaTleblo Rirebulebasa daoriginalurobas. warmodgenili masalebi ar recenzirdeba da avtorebs ar ubrun-debaT.

• dajildoebis sazeimo ceremoniali gaimarTeba 2008 wlis ivnisSi.

konkursSi gamarjvebulebi dajildovdebian premiebiTa da prizebiT:

• I adgilze gasuls gadaecema personaluri kompiuteri (nouTbuqi) da specialuri50 %-iani fasdaklebis baraTi gamomcemloba `diogenes~ yvela saskolo saxel-

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saxelfaso danamats TveSi 120 laris odenobiT.

• III adgilze gasuli erTi kalendaruli wlis ganmavlobaSi miiRebs specialursaxelfaso danamats TveSi 80 laris odenobiT.

• 10 saukeTeso pedagogi (I, II da III adgilebis CaTvliT) miiRebs maTematikis II an III klasebis

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pirveli analogiuri konkursi gamomcemloba „diogenem~ 2007 wlis ivnisSi Caatara.

konkursSi gaimarjva ozurgeTis raionis sof. laiTuris sajaro skolis pedagogma ingafircxalaiSvilma. mas 1 000 lari da personaluri kompiuteri gadaeca. II adgilze baTumisskola-liceumis ̀ master klasis~ pedagogi nana mJavia gavida, xolo III adgilze _ ozurgeTis

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garda I,II da III adgilze gasuli konkursantebisa, maTematikis II klasis saxelmZRva-nelos ufaso kompleqti mTeli klasisaTvis 2007/2008 saswavlo wels miiRes Semdegmapedagogebma: nino aduaSvilma (goris # 1 sajaro skola), luiza kobaxiZem (ambrolauris

# 2 sajaro skola), ciala maWaraSvilma (tyibulis # 1 sajaro skola), aza juRelma (bor-jomis # 4 sajaro skola).

gamomcemloba „diogene~ madlobas uxdis konkursis yvela monawiles da warmatebebsusurvebs momavalSic !

4

5

Sesavali

saxelmZRvaneloSi axali, upirveles yovlisa, saswavlo procesisadmi damokidebulebaa, rac

Sedegze orientirebul swavlebas gulisxmobs. dagegmvisas mTavari iyo ara mxolod is, ra unda

vaswavloT moswavles, aramed isic, Tu rogor unda vaswavloT, mniSvnelovania ara is, Tu ras swav-

lobs moswavle wlis ganmavlobaSi, aramed is, ra icis man wlis bolos; yuradReba maxvildeba ara

konkretuli informaciis miwodebaze, aramed codnis praqtikuli gamoyenebis swavlebaze.

saxelmZRvanelo mTlianad interaqtiul meTidikazea agebuli, rac imas niSnavs, rom igi moswav-

lezea orientirebuli. SevecadeT, gagveTvaliswinebina am asakis bavSvis rogorc saWiroebebi da

interesebi, ise misi fsiqikur-fizikuri SesaZleblobebi. amaSi sakuTari da sxva pedagogTa praq-

tikuli gamocdileba da fsiqologis rekomendaciebi dagvexmara.

saxelmZRvaneloSi warmodgenili masala ganawilebulia xuT TavSi. Tavebi dayofilia gakveTi-

lebad. gakveTilebi imgvaradaa agebuli, rom uzrunvelyofs moswavlis maqsimalur monawileobas

da CarTulobas sagakveTilo procesSi, aseve codnis miRebas aRmoCenis gziT.

gakveTilebi iwyeba aqtiuri savarjiSoTi, romlis mizania an Seswavlili masalis gameoreba, an

axali masalis axsna da Sesabamisi unar-Cvevebis gamomuSaveba (mizani da unar-Cvevebi miTiTebulia

savarjiSos bolos).

saxelmZRvaneloSi mocemuli savarjiSoebi mravalferovania, rac uzrunvelyofs erTi sakiTxis

sxvadasxvanairad danaxvas da uviTarebs moswavleebs erTi problemis sxvadasxva xerxiT gadaWris

unar-Cvevas, sainteresos xdis da aadvilebs axali masalis aTvisebas da Semdeg mis gamoyenebas.

TiToeul TavSi mocemulia ramdenime gakveTili, romlis savarjiSoebi sruldeba damouki-

deblad da maswavlebeli amowmebs da afasebs, Tu ramdenad sworad iyeneben moswavleebi SeZenil

codnas.

samuSao rveulSi mocemuli savarjiSoebi gansxvavebuli tipisaa. rveuli ar imeorebs saxel-

mZRvanelos da kidev ufro sainteresos xdis saswavlo process. samuSao rveulis mizania: Seswavlili

masalis gameoreba, SeZenili codnis gamoyeneba da samuSaos damoukideblad Sesrulebis unar-Cvevis

gamomuSaveba.

maswavleblis wignSi detalurad aris ganxiluli uklebliv yvela gakveTili. ganxilulia, Tu

ras emsaxureba konkretuli gakveTili da ra unar-Cvevebis gamomuSavebas uwyobs xels mocemuli

savarjiSoebi, aseve _ interaqtiuli meTodikis ra xerxebia gamoyenebuli: individualuri, wyvilSi

da jgufSi muSaoba, gonebrivi ieriSi, mozaika da a. S.

Cven gTavazobT gakveTilis warmarTvis meTods, magram es ar niSnavs maswavleblis SezRudvas.

mas SeuZlia gakveTilze Casatarebeli savarjiSoebi Tavisi Sexedulebisamebr Secvalos ise, rom ar

dairRves gakveTilis warmarTvis ZiriTadi principi: gamowveva, gageba, gamoyeneba.

6

erovnuli saswavlo gegma

I klasi

wlis bolos misaRwevi Sedegebi:

wlis bolos misaRwevi Sedegebi da maTi indikatorebi

mimarTuleba: ricxvebi da moqmedebebi

maT. I.1. erTmaneTs usabamebs ricxvebs, ricxviT saxelebs da raodenobebs.Sedegi TvalsaCinoa, Tu moswavle:

• irCevs da qmnis mocemuli ricxvis Sesabamisi raodenobis grovebs da piriqiT, ricxvs usabamebs

Sesabamisi raodenobis grovebs.

• qmnis toli raodenobis saganTa mowesrigebul erTobliobas maTi dawyvilebiT.

• kiTxulobs da wers ricxvebs; gamosaxavs maT sxvadasxva modelis gamoyenebiT.

• gamoyofs miTiTebuli ricxvebis Sesabamisi raodenobis jgufebs grovaSi (mag., gamoyofsaTeuls grovaSi).

maT. I.2. iyenebs rigobiT ricxviT saxelebs da ricxvebs, rogorc Wdeebs (ìarliyi~).Sedegi TvalsaCinoa, Tu moswavle:

• iTvlis win/ukan nebismieri ricxvidan, ganmartavs 11-dan 20-mde ricxvis saxelwodebas; asa-

xelebs mocemuli ricxvis wina da momdevno ricxvebs.

• saganTa mowesrigebul erTobliobaSi asaxelebs miTiTebuli sagnis rigs; mocemuli Tanmimdev-

robiT an/da miTiTebul poziciebze ganaTavsebs sagnebs.

• iyenebs rigobiT ricxviT saxelebs movlenaTa an qmedebaTa Tanmimdevrobis aRwerisas.

• iyenebs nuls da mis aRmniSvnel simbolos Sesabamis situaciebSi.

• ganasxvavebs da asaxelebs erovnuli fulis niSnebs (monetebs, banknotebs) 20-is farglebSi.

maT. I.3. akavSirebs Tvlas, ricxvebs Soris damokidebulebebs da Sekreba-gamoklebis moqmedebebserTmaneTTan.

Sedegi TvalsaCinoa, Tu moswavle:

• sityvierad aRwers Sekrebis/gamoklebis/tolobis da Sedegis cnebebebs sxvadasxva konteqstSi

(mag. ̀ davumatoT~, ̀ movakloT~, mimateba - gazrda; gamokleba - Semcireba, gacalkeveba, gansxvaveba).

• axdens Sekreba-gamoklebis TvalsaCinod demonstrirebas, gansazRvravs gansxvavebas (mag.,

`ramdeniT gaizarda/Semcirda?~) da aRwers ricxvebs Soris damokidebulebebs.

• zepirad angariSisas iyenebs 1-is toli bijiT Tvlas, an sxva xerxs da axdens Sekreba-gamoklebis

moqmedebaTa urTierTSebrunebulobis demonstrirebas modelis gamoyenebiT.

• mocemuli grovisaTvis asaxelebs am grovis miTiTebul raodenobamde Sesavsebad saWiro

1. erTmaneTs usabamebs

ricxvebs, ricxviT

saxelebs da raodenobs.

2. iyenebs rigobiT ri-

cxviT saxelebs da ricx-

vebs, rogorc Wdeebs

(ìarliyi~).

3. akavSirebs erTmaneTTan

Tvlas, ricxvebs Soris

damokidebulebebs da

Sekreba-gamoklebis

moqmedebebs.

4. afasebs da adarebs

raodenobebs.

5. ganavrcobs, warmoadgens da

adarebs sagnebis periodul

ganlagebebs (mimdevrobebs).

maT. I. mimarTuleba

ricxvebi da moqmedebebi kanonzomierebebi da algebra geometria da sivrcis aRqma

6. amoicnobs da aRwers

brtyel figuras.

7. gamosaxavs brtyel

geometriul figurebs da

amoicnobs obieqtTa

urTierTmdebareobas.

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damatebiT raodenobas; zepirad asrulebs 10-is gavliT Sekreba-gamoklebas da axdens gamo-

yenebuli xerxis TvalsaCinod demonstrirebas.

maT. I.4. afasebs da adarebs raodenobebs.Sedegi TvalsaCinoa, Tu moswavle:

• dauTvlelad asaxelebs zust raodenobas erTgvarovan, mcire zomis saganTa grovaSi (raodenoba

ar aRemateba 5-s) da amowmebs Tavis pasuxs.

• akavSirebs `-iT~ metoba/naklebobas Sekreba/gamoklebis moqmedebebTan da axdens modelze amis

demonstrirebas.

• saganTa dawyvilebiT adarebs raodenobebs grovebSi, iyenebs Sesabamis terminebsa da aRniSvnebs

(>, <, =) da gansazRvravs gansxvavebas (`ramdeniT meti / naklebi?~).

• irCevs ori grovidan erTs, romelSic sagnebis raodenoba daaxloebiT mocemuli ricxvis

tolia, amowmebs Tavis varauds.

Sinaarsi1. naturaluri ricxvebi 20-is farglebSi2. ricxvis cnebis sxvadasxva aspeqti3. ricxvebis gamoyeneba

mimarTuleba: kanonzomierebebi da algebra

maT. I.5. ganavrcobs, warmoadgens da adarebs sagnebis periodul ganlagebebs (mimdevrobebs)Sedegi TvalsaCinoa, Tu moswavle:

• mimdevrobis mocemuli fragmentis mixedviT avsebs am mimdevrobis ramdenime Tanmimdevrul Ria

pozicias.

• adarebs erTnairi sagnebiT warmodgenil or mocemul mimdevrobas (romlebSic saganTa raodenoba

tolia) da Sesabamis SemTxvevaSi miuTiTebs im mimdevrobebs, romlebic ganlagebis erTsa da imave

wess emorCileba.

• sityvierad mocemuli wesis mixedviT mimdevrobiT ganalagebs mxolod erTi atributiT gansxva-

vebul sagnebs (mag., erTi zomis burTebis aseT mimdevrobas: wiTeli burTi, lurji burTi, wiTeliburTi . . .).

Sinaarsi1. sagnebis saSualebiT warmodgenili perioduli mimdevrobebi.

mimarTuleba: geometria da sivrcis aRqma

maT. I.6. amoicnobs da aRwers brtyel figuras.Sedegi TvalsaCinoa, Tu moswavle:

• yofiTi daniSnulebis sagnebSi an maT ilustraciebSi uTiTebs dasaxelebul brtyel figurebs.

• SearCevs miTiTebuli figuris models Sereuli grovidan.

• aRwers miTiTebul geometriuli figuras (mag. asaxelebs mocemuli mravalkuTxedis wveroebisraodenobas).

maT. I.7.gamosaxavs brtyel geometriul figurebs da amoicnobs obieqtTa urTierTmdebareobasSedegi TvalsaCinoa, Tu moswavle:

• romelime xerxiT (mag., aplikaciiT an naxatis saSualebiT) qmnis dasaxelebuli formis brtyeli

figuris models an gamosaxulebas.

• uTavsebs sxvadasxva brtyeli figurebis modelebs erTmaneTs nimuSze mocemuli gamosaxulebis

(naxatis) misaRebad.

• sworad pasuxobs kiTxvebze obieqtTa urTierTmdebareobis (marjvniv/marcxniv, zemoT/qvemoT,

win/ukan) Sesaxeb.

• miTiTebuli wesiT aerTebs ramdenime wertils sibrtyeze an/da moniSnavs gzas miTiTebul

obieqtamde martiv sqemaze.

Sinaarsi1. brtyeli figurebi: samkuTxedi, oTxkuTxedi, xuTkuTxedi, eqvskuTxedi, wre.2. martivi sqemebi sibrtyeze (mag., wirebiT SeerTebuli wertilebi).

8

Sinaarsisa da miznebis ruka

# mimarTuleba: ricxvebi da moqmedebebi. Sedegi, indikatori gakveTili #

1.1

18, 20, 23, 25, 28, 30, 33, 35,

36, 37, 38, 87, 131, 139, 148.

12, 13, 65.

14, 16, 17, 20, 22, 23, 24, 26,

28, 30, 32, 34, 86, 112, 115,

120, 123, 128, 131, 136, 139,

144, 147.

23, 27, 32, 36, 100, 108, 112,

120, 153.

erTmaneTs usabamebs ricxviT saxelebs da raodenobebs.Sedegi TvalsaCinoa, Tu moswavle:• irCevs da qmnis mocemuli ricxvis Sesabamisi raodenobis gro-

vebs da piriqiT, ricxvs usabamebs Sesabamisi raodenobis grovebs.

• qmnis toli raodenobis saganTa mowesrigebul erTobliobas

maTi dawyvilebiT.

• kiTxulobs da wers ricxvebs, gamosaxavs maT sxvadasxva modelis

gamoyenebiT.

• gamoyofs miTiTebuli ricxvebis Sesabamisi raodenobis jgu-

febs grovaSi.

1.2

20, 24, 29, 30, 32, 33, 113,

123, 128, 129, 131, 139,

140, 145.

32, 36, 37, 38, 43, 67, 89,

128, 131, 139, 144, 147.26,

31.

34, 71, 73, 83, 86, 110, 122.

45, 89, 103, 111, 117, 122,

125.

iyenebs rigobiT ricxviT saxelebs da ricxvebs, rogorc Wdeebs.Sedegi TvalsaCinoa, Tu moswavle:• iTvlis win/ukan nebismieri ricxvidan, ganmartavs 11-dan 20-mde

ricxvis saxelwodebas, asaxelebs mocemuli ricxvis wina da ukana

ricxvebs.

• saganTa mowesrigebul erTobliobaSi asaxelebs miTiTebuli

sagnis rigs. mocemuli TanmimdevrobiT an/da miTiTebul po-

ziciebze ganaTavsebs sagnebs.

• iyenebs rigobiT ricxviT saxelebs movlenaTa an moqmedebaTa

Tanmimdevrobis aRwerisas.

• iyenebs 0-s da mis aRmniSvnel simbolos Sesabamis situaciebSi.

• ganasxvavebs da asaxelebs erovnuli fulis niSnebs (monetebs,

banknotebs) 20-is farglebSi.

1.3 akavSirebs Tvlas, ricxvebs Soris damokidebulebebsa da Sekreba-gamoklebis moqmedebebs erTmaneTTan.Sedegi TvalsaCinoa, Tu moswavle:• sityvierad aRwers Sekrebis /gamoklebis/ tolobis da Sedegis cnebebs

sxvadasxva konteqstSi (mag., `davumatoT~, `movakloT~, mimateba _

gazrda, gamokleba _ Semcireba, gancalkeveba, gansxvaveba).

• axedens Sekreba-gamoklebis TvalsaCino demonstrirebas, gan-

sazRvravs gansxvavebas (mag. `ramdeniT gaizarda/Semcirda?~) da

aRwers ricxvebs Soris damokidebulebas.

• zepirad angariSisas iyenebs 1-is toli bijiT Tvlas, an sxva xerxs

da axdens Sekreba-gamoklebis moqmedebaTa urTierTSebrunebu-

lobis Cvenebas modelis gamoyebiT.

• mocemuli grovisaTvis asaxelebs am grovis miTiTebul raode-

nobamde Sesavsebad saWiro damatebiT raodenobas; zepirad asru-

lebs 10-is gavliT Sekreba-gamoklebas da axdens gamoyenebuli

xerxis TvalsaCinod demonstrirebas.

39, 41, 42, 49, 58, 59, 65, 67,

68, 72, 73, 82, 98, 102, 107,

109, 110, 116, 117, 124, 128,

129, 144, 149, 156, 157, 159.

58, 59, 72, 73, 107, 128,

144, 149, 157.

96, 97, 99, 109, 113, 128.

23, 33, 37, 39, 90, 119.

1.4. afasebs da adarebs raodenobebsSedegi TvalsaCinoa, Tu moswavle:• dauTvlelad asaxelebs zust raodenobas erTgvarovan mcire zomis

saganTa grovaSi (raodenoba ar aRemateba 5-s), amowmebs Tavis pasuxs.

• akavSirebs `-iT~ metoba/naklebobas Sekreba/gamoklebis moqme-

debebTan da axdens amis modelze demonstrirebas.

• saganTa dawyvilebiT adarebs raodenobebs grovebSi, iyenebs

Sesabamis terminebsa da aRniSvnebs (<, >, =) da gansazRvravs

gansxvavebas (`ramdeniT meti/naklebi?~).

• irCevs ori grovidan erTs, romelSic sagnebis raodenoba

daaxloebiT mocemuli ricxvis tolia, amowmebs Tavis varauds.

15, 51, 54, 80.

78, 79, 114, 121, 125, 131, 140.

12, 13, 14, 15, 23, 25, 27, 32,

33, 35, 37, 40, 49, 72, 76, 77,

84, 130, 132, 146.

151.

9

# mimarTuleba: kanonzomierebebi da algebra. Sedegi, indikatori gakveTili #

1.5

1.6

ganavrcobs, warmoadgens da adarebs sagnebis periodul ganlage-bebs (mimdevrobebs).Sedegi TvalsaCinoa Tu moswavle:• mimdevrobis mocemuli fragmentis mixedviT avsebs am mimdevrobis

ramdenime Tanmimdevrul Ria pozicias.

• adarebs erTnairi sagnebiT warmodgenil or mocemul mimdevrobas

(romlebSic saganTa raodenoba tolia) da Sesabamis SemTxvevaSi

miuTiTebs im mimdevrobebs, romlebic ganlagebis erTsa da imave

wess emorCileba.

• sityvierad mocemuli wesis mixedviT mimdevrobiT ganalagebs

mxolod erTi atributiT gansxvavebul sagnebs (mag., erTi zomis

burTebis aseT mimdevrobas: wiTeli burTi, lurji burTi, wiTeli

burTi...).

7, 8, 10, 14, 16, 19, 21, 25, 31, 34,

36, 40, 47, 56, 62, 77, 79, 82, 93,

99, 105, 117, 121, 133, 157, 159.

15, 85, 130.

7, 14, 15, 36, 62, 103, 157.

mimarTuleba: geometria da sivrcis aRqma. Sedegi, indikatori

amoicnobs da aRwers brtyel figuras.Sedegi TvalsaCinoa, Tu moswavle:• yofiTi daniSnulebis sagnebSi an ilustraciebSi uTiTebs dasaxele-

bul brtyel figurebs.

• SearCevs miTiTebuli figuris models Sereuli grovidan.

• aRwers miTiTebul geometriul figuras (mag., asaxelebs mocemuli

mravalkuTxedis wveroebis raodenobas).

6, 7, 11, 16, 35, 63, 65, 69,

94, 114, 126, 127, 133, 141.

16, 35, 65, 69, 93, 127, 133.

21, 22, 24, 26, 35, 71.

1.7 gamosaxavs bryel geometriul figurebs da amoicnobs obieqtTaurTierTmdebareobas.

Sedegi TvalsaCinoa, Tu moswavle:• romelime xerxiT (mag., aplikaciiT an naxatis saSualebiT) qmnis

dasaxelebuli formis brtyeli figuris models an gamosaxulebas.

• uTavsebs sxvadasxva figurebis modelebs erTmaneTs nimuSze

mocemuli gamosaxulebis misaRebad.

• sworad pasuxobs kiTxvebze obieqtTa urTierTmdebareobis Sesaxeb.

• miTiTebuli wesiT aerTebs ramdenime wertils sibrtyeze an/da

martiv sqemaze moniSnavs gzas miTiTebul obieqtamde.

7, 40, 48, 71, 77, 79, 89, 95, 159.

6, 83.

8, 10.

21, 22, 24, 26, 35, 48.

I Tavis Sinaarsi:

1. saganTa Tvisebebi (niSnebi) _ feri, forma, zoma.saganTa Sedareba da dajgufeba romelime erTi niSnis mixedviT (feri, forma, zoma).

2. saganTa jgufebs Soris damokidebuleba.cnebebi `bevri~, `cota~, `meti~, `naklebi~, ìmdenive~, `ramdeniT meti~, `ramdeniT naklebi~.

3. umartivesi sivrciTi da droiTi warmodgenebi.

`marcxniv~, `marjvniv~, `zeviT~, `qveviT~, `win~, ùkan~, `Soris~, `jer~, àdre~, Semdeg~, `gvian~.

4. brtyeli geometriuli figurebi.samkuTxedi, oTxkuTxedi, wre.

saswavlo kursi iwyeba moswavleebSi saganTa Tvisebebis (feris, formis, zomis) Sesaxeb

arsebuli warmodgenebis gamovleniT, dazustebiTa da gaRrmavebiT.

saxelmZRvanelos pirvel TavSi mocemuli savarjiSoebi da swavlebis meTodi xels uwyobs am

warmodgenebis gamovlenas.

savarjiSoebis specifika gamoxatulia kiTxvebiT: `riT hgavs?~, `riT gansxvavdeba?~, `ra

Seicvala?~, `ra ar Seicvala?~, `ra aqvT saerTo?~, `ra aqvT gansxvavebuli?~.

10

gakveTilebi imgvarad aris agebuli, rom gulisxmobs bavSvis aqtiur monawileobas sagakveTilo

procesSi, rasac xels uwyobs swavlebis interaqtiuli meTodi. sxvadasxva xerxebis, savarjiSoebisa

da TvalsaCinoebis saSualebiT bavSvi akvirdeba, adarebs, aRwers, irCevs, iRebs gadawyvetilebas da

akeTebs daskvnas. amgvarad, igi ara pasiuri msmeneli, aramed aqtiuri monawilea yovelive imisa, rac

gakveTilze xdeba.

sasurvelia, maswavlebelma klasSi bavSvebis daxmarebiT Seqmnas TvalsaCinoeba, romelsac

miznobrivad gamoiyenebs (axali masalis asaxsnelad, gasameoreblad, savarjiSod). aseTi namuSevari

bavSvisTvis ufro axlobeli, gasagebi da misaRebia. kargi iqneba, Tu maswavlebeli TvalsaCinoebas

kedelze gaakravs da Semdgom saswavlo procesSi saWiroebisamebr xelmeored gamoiyenebs. (mag.,

plakati, romelzec gamosaxulia xelebi). moswavleebis mier TvalsaCinoebis Seqmna safuZvels uyris

monacemTa mopovebis, maTi organizebisa da, maTze dayrdnobiT, maTematikuri modelis agebis unar-

Cvevis gamomuSavebas.

gakveTili ramdenime nawilisagan Sedgeba: ganvlili masalis gameoreba, Semzadeba axal

masalaze gadasasvlelad, axali masalis axsna, Sejameba da Sefaseba.

samuSao rveulSi mocemul savarjiSoebs maswavlebeli Tavisi Sexedulebisamebr gamoiyenebs

(Seswavlili masalis gameoreba-ganmtkicebisaTvis, damoukidebeli, wyvilSi da jgufuri samuSaoebi-

saTvis).

gakveTilebis Tematuri gegma

I Tavi

_

1.

2.

3.

4.

5.

6.

7.

8.

9.

10.

11.

12.

13.

14.

15.

16.

# Temis dasaxelebasT.

ricxvebamde periodi (19 sT)

1

1

1

1

1

1

1

1

1

1

1

1

1

1

1

1

1

2

pirveli dRe skolaSi

saganTa Tvisebebi (niSnebi): feri, forma, zoma





brtyeli geometriuli figurebi.


umartivesi sivrciTi warmodgenebi: `marjvniv~, `marcxniv~, `zemoT~, `qvemoT~

umartivesi droiTi warmodgenebi: `jer~, `Semdeg~, àdre~, `gvian~

umartivesi sivrciTi warmodgenebi: `win~, ùkan~, `Soris~

jgufSi saganTa raodenoba. cnebebi: `bevri~, `cota~

saganTa jgufebs Soris damokidebuleba. cnebebi: `meti~, `naklebi,~ ìmdenive~



saganTa Tvisebebi (niSnebi): feri, forma, zoma (gameoreba)

saganTa jgufebs Soris damokidebuleba. cnebebi: `meti~, `naklebi~, ìmdenive~

(gameoreba)

sarezervo dro

11

gakveTilis Tema: pirveli dRe skolaSi.

gakveTilis mizani: moswavleTa momzadeba maTematikuri cnebebis Sesaswavlad.

saWiro masala: qaRaldis formati, feradi flomasterebi.

saWiro dro:1) aqtiuri savarjiSo _ 15 wT.

2) aqtiuri savarjiSo _ 10 wT.

3) saxelmZRvaneloze muSaoba _ 10 wT.

gakveTilis msvleloba:maswavlebelma pirveli dRidanve xeli unda Seuwyos klasSi saswavlo atmosferos Seqmnas,

erTiani gundis Sekvrasa da am gundSi TiToeuli moswavlis TviTdamkvidrebas. am mizniT maswav-

lebeli gegmavs iseT aqtivobas, romelSic yvela miiRebs monawileobas.

skolaSi mosul bavSvebs garkveuli warmodgenebi aqvT saganTa Tvisebebis Sesaxeb. maswavlebelma

xeli unda Seuwyos am warmodgenebis gamovlenas.

maswavlebeli midis winaswar kedelze gakrul formatTan, adebs xels da feradi flomasteriT

Semoxazavs, Semdeg sTavazobs moswavleebs, saTiTaod mividnen formatTan, airCion flomasteris

feri da daadon xeli qaRalds. maswavlebeli Semoxazavs TiToeuli maTganis xels da awers misi

patronis saxels (SeiZleba bavSvma kiTxva ar icodes, magram Tavis saxels yvela cnobs). Tu vinme

moisurvebs damoukideblad xelis Semoxazvas, maswavlebeli aZlevs mas amis saSualebas, xolo Tu

vinmem ar isurva am savarjiSoSi monawileobis miReba, maswavlebeli mas ar aZalebs.

es pirveli erToblivi namuSevari xels uwyobs klasis erT gundad Sekvras da maTi momavali

TanamSromlobis sawindaria.

am plakats maswavlebeli miznobrivad iyenebs.

maswavlebeli:

_ SexedeT qaRalds: es Cemi xelia, es _ Tqveni xelebi.

_ gansxvavdeba Cemi xeli Tqveni xelebisagan?

Tu pasuxi iqneba àra~, maswavlebeli adasturebs: marTalia, Cvens xelebs erTnairi forma aqvT.

Tu pasuxi iqneba `diax~, maswavlebeli ambobs: marTalia, Cemi xeli didia, Tqveni xelebi ki patara.

savarjiSos saSualebiT maswavlebeli acnobs moswavleebs saganTa Tvisebebs: fers, formas, zomas.

Semdeg maswavlebeli moswavleebis daxmarebiT adarebs sagnebs saklaso oTaxSi, aseve

moswavleebis nivTebs (mag., fanqrebs, flomasterebs da a. S.).

maswavlebeli aCvenebs moswavleebs maTematikis saxelmZRvanelos.

maswavlebeli:

_ xedavT, ra lamazi wignia. aq bevri saintereso ram SegiZliaT naxoT: Tqvennairi gogonebi

da biWebi, sayvareli saTamaSoebi da sayvareli zRaprebis gmirebi. Tqven maTTan erTad mogiwevT

am ucnaur samyaroSi mogzauroba da iseTi saintereso rameebis Seswavla, rogoricaa: Tvla,

Sedareba, mimateba, gamokleba, ricxvebi da a. S. am samyaros Cven, ufrosebi, maTematikas vuwodebT,

Tqvens wignsac maTematikis saxelmZRvanelo hqvia.

_ axla cota xniT SevwyvitoT am samyaroSi mogzauroba da xval gavagrZeloT.

12

gakveTilis Tema: saganTa Tvisebebi (niSnebi): feri, forma, zoma.

gakveTilis mizani: moswavlem iswavlos saganTa Sedareba Tvisebrivi maxasiaTeblebis mixedviT.

safuZvlis Cayra saazrovno unar-Cvevebis gamomuSavebisaTvis.

saWiro masala: lurji, wiTeli da yviTeli feris buStebi (mrgvali da mogrZo).



3) wuTSesveneba _ 5 wT.

maswavlebeli saklaso oTaxSi moswavleebs axvedrebs ferad buStebs:

I rigSi TiToeuli skamis sazurgeze mimagrebulia wiTeli feris buSti (marjvniv _ mrgvali,

marcxniv _ mogrZo an piriqiT).

II rigSi skamis sazurgeze yviTeli feris buStia gamobmuli (marjvniv_ mrgvali, marcxniv _ mogrZo).

III rigSi ki _ lurji buStebi.

maswavlebeli:

_ kargad daakvirdiT Sens da merxze gverdiT mjdomi megobris buSts.

_ riT hgavs Seni da misi buSti erTmaneTs? (feri)

_ riT gansxvavdeba es buStebi erTmaneTisagan? (forma)

_ e. i. erT merxze mjdomi bavSvebis buStebi erTi ferisaa, magram sxvadasxva formis.

maswavlebeli:

_ axla adges fexze is, visac mrgvali buSti aqvs.

_ riT hgavs Tqveni buStebi erTmaneTs? (formiT).

_ riT gansxvavdeba Tqveni buStebi erTmaneTisagan? (feriT).

_ e. i. yvela buSti erTnairi formisaa, mxolod gansxvavebuli feris.

_ adges fexze, visac mogrZo formis buSti aqvs.

_ riT hgavs Tqven buStebi erTmaneTs? (formiT).

_ riT gansxvavdeba Tqveni buStebi erTmaneTisagan? (feriT).

savarjiSo saSualebas iZleva, yvela moswavle aqtiurad CavrToT gakveTilis msvlelobaSi, rom

maT TvalnaTliv dainaxon rogor SeiZleba saganTa Sedareba feris an formis mixedviT. savarjiSo

safuZvels uyris Tvisebrivi maxasiaTeblebis mixedviT saganTa Sedarebis unar-Cvevis gamomuSavebs.

saxelmZRvaneloze muSaobasavarjiSo # 1maswavlebeli:

_ daakvirdiT naxats.

_ modiT, CamovTvaloT, ra sagnebia daxatuli.

_ ra aqvT saerTo am sagnebs? (yvela xilia)

_ kidev ra aqvT saerTo am sagnebs? (feri).

saswavlomiznebi

aqtivobebi moswavleebisorganizeba

droisganawileba

resursebi Semowmeba

moswavlem iswav-

los saganTa

Sedareba Tvi-

sebrivi maxasia-

Teblebis

mixedviT.

safuZvlis Cayra

saazrovno unar-

Cvevebis gamomuSa-

vebisaTvis.

1) aqtiuri

savarjiSo.

2)saxelmZRva-

neloze

muSaoba.

jgufuri

individualuri

1) 10 wT.

2) 20 wT.

wuTSesveneba 3 wT.

lurji, wiTeli

da yviTeli

feris buStebi

(mrgvali da

mogrZo).

savarjiSo

# 4

gakveTilis dagegmvis cxrili

gakveTili # 1

13

Tu moswavleebs gauWirdebaT pasuxis gacema, maswavlebeli SekiTxvebiT exmareba maT (mag.,

aris Tu ara vaSli xili? ra ferisaa vaSli? da a. S.).

_ axla davukvirdeT: riT gansxvavdeba es sagnebi erTmaneTisagan? (forma).

SesaZlebelia, moswavleebma ver gvipasuxon, rom ganmasxvavebeli niSani aris forma, magram

klasidan wamosuli pasuxebis Semdeg maswavlebeli uxsnis bavSvebs, rom mrgvali, grZeli da a. S.

sagnis damaxasiaTebeli niSania da mas forma hqvia.

savarjiSo # 2maswavlebeli sTxovs moswavleebs, daakvirdnen wignSi warmodgenil meore naxats da Seasrulon

wina savarjiSos analogiuri davaleba.

_ riT hgavs es sagnebi erTmaneTs? (yvela xilia, erTi feris).

_ ris gansxvavdeba isini erTmaneTisagan? (formiT).

Tu moswavleebs pasuxis gacema gauWirdebaT, maswavlebels kiTxvebiT mihyavs isini swor

pasuxamde (mag., vaSli rogoria? msxali?).

amis Semdeg maswavlebeli sTxovs moswavleebs:

_ daakvirdiT orive naxats.

_ riT hgavs naxatebze gamosaxuli sagnebi erTmaneTs? (yvela xilia).

_ riT gansxvavdeba isini erTmaneTisagan? (feriT, formiT, zomiT).

maswavlebeli amjeradac kiTxvebiT exmareba maT (mag., aris am naxatebze erTnairi sagnebi? da a. S.).

wuTSesveneba

maswavlebeli:

_ adges fexze, visac wiTeli buSti aqvs.

_ adges fexze, visac lurji buSti aqvs.

_ adges fexze, visac yviTeli buSti aqvs.

_ adges fexze, visac mrgvali buSti aqvs.

_ adges fexze, visac grZeli buSti aqvs.

savarjiSo # 3maswavlebeli:

_ riT hgavs? riT gansxvavdeba?


_ ra icvleba pirvel naxatze?

_ ra ferisaa yoveli momdevno wre?

_ ra ar icvleba?

_ rogoria yoveli momdevno wre?

_ e. i. icvleba figurebis feri da ar icvleba forma.

savarjiSoebis mizania saazrovno (Sedareba Tvisebrivi maxasiaTeblebis mixedviT) unar-Cvevebis

gamomuSaveba

Semdeg moswavleebi asruleben savarjiSos mocemuli nimuSis mixedviT.

gakveTili # 2


gakveTilis mizani: moswavlem iswavlos saganTa Sedareba Tvisebrivi maxasiaTeblebis mixedviT.

safuZvlis Cayra saazrovno unar-Cvevebis gamomuSavebisaTvis.

saWiro masala: kubebi didi zomis: 3 wiTeli, 3 mwvane; patara zomis: 1 mwvane.

saWiro dro:1) aqtiuri savarjiSo _10 wT.

14



gakveTilis msvleloba:maswavlebeli magidaze alagebs did kubebs: marjvniv erTmaneTze awyobs sam wiTel kubs, marcxniv

imave wesiT _ sam mwvane kubs.

maswavlebeli sTxovs moswavleebs, daxuWon Tvalebi. igi did mwvane kubs imave feris patara

kubiT cvlis.

maswavlebeli:

_ daakvirdiT da miTxariT: ra Seicvala?

Tu moswavleebs gauWirdebaT pasuxis gacema, maswavlebeli exmareba maT:

_ rogori kubi ido Tavdapirvelad?

_ axla rogori devs?

maswavlebeli magidaze imave principiT alagebs kubebs. isev sTxovs moswavleebs Tvalebis

daxuWvas da adgils ucvlis TiTo kubs.

maswavlebeli:

_ daakvirdiT da miTxariT: ra Seicvala?

Tu moswavleebs gauWirdebaT pasuxis gacema maswavlebeli, exmareba maT:

_ rogori kubi ido Tavdapirvelad?

_ axla rogori devs?

moswavleebi maswavleblis daxmarebiT zustad ayalibeben, romeli konkretuli niSnis mixed-

viT moxda cvlileba.

savarjiSo xels uwyobs saazrovno (Sedareba, dakvirveba, daskvnis gakeTeba) unar-Cvevebis

gamomuSavebas.


_ daakvirdiT vardebs pirvel naxatze.

_ riT hgavs isini erTmaneTs?

_ riT gansxvavdeba?

_ ra feris vardebia daxatuli meore naxatze?

_ SeadareT pirveli naxati meore naxats da gaarkvieT, ra Seicvala?

_ ra ar Seicvala?

_ ra Seicvala Semdeg naxatze?

savarjiSo # 2 maswavlebeli:

_ rogori kaliebia daxatuli? (didi _ patara).


_ rogori peplebia daxatuli?


_ rogori muxluxoebia daxatuli? (grZeli _ mokle).


_ rogori morebia daxatuli? (wvrili _ msxvili).


_ rogori weroebia daxatuli? (maRali _ dabali).


_ rogori xeebia daxatuli? (maRali _ dabali).


savarjiSoebis mizania saazrovno (Sedareba Tvisebrivi maxasiaTeblebis mixedviT) unar-

Cvevebis gamomuSaveba.

wuTSesveneba

savarjiSo # 3

15

maswavlebeli:

_ aRwereT suraTi.

maswavlebeli exmareba moswavleebs Seswavlili cnebebis gamoyenebiT suraTis aRweraSi. mag.:

_ rogori xeebia suraTze?

_ rogori zRarbebia suraTze?

_ vin aris maRali? da a. S.


maswavlebeli moswavleebs meore dRisTvis ramdenime foTlis motanas avalebs.

gakveTili # 3


gakveTilis mizani: moswavlem SeZlos saganTa gaerTianeba maTi Tvisebrivi maxasiaTeblebis

mixedviT. safuZvlis Cayra sakomunikacio unar-Cvevebis gamomuSavebisaTvis.

saWiro masala: foTlebi.


2) saxelmZRvaneloze muSaoba _15 wT.


gakveTilis msvleloba:gakveTili iwyeba saxlidan motanili foTlebis merxze dalagebiT (Tu vinmes ara aqvs foTo-

li motanili, maswavlebeli aZlevs mas). maswavlebeli yvelas uwonebs maT mier motanil foTlebs

da aqebs maT mondomebas. samuSao sruldeba wyvilebSi.

maswavlebeli:

_ daalageT erTad foTlebi, romlebic, Tqveni azriT, erTmaneTs hgavs.

samuSaos damTavrebis Semdeg yvela wyvili rigrigobiT aRwers merxze dajgufebul foTlebs

(moswavleebi yvebian, ra niSniT gaaerTianes foTlebi erT jgufSi). maswavlebeli SekiTxvebiT

amaxvilebs yuradRebas foTlebis msgavsebasa da gansxvavebaze:

_ riT hgavs foTlebi erTmaneTs?

_ riT gansxvavdeba foTlebi erTmaneTisagan?

Semdeg maswavlebeli ekiTxeba moswavleebs:

_ kidev rogor SeiZleba foTlebis dalageba?

savarjiSo safuZvels uyris saazrovno (saganTa gaerTianebas jgufSi maTi Tvisebrivi maxasia-

Teblebis mixedviT), sasicocxlo (TanamSromloba), sakomunikacio (mosmena, sxvisi azris gaTva-

liswineba, argumentacia) unar-Cvevebis gamomuSavebas da SemoqmedebiTi azrovnebis ganviTarebas.


_ dedam da mamam gias da nias buStebi uyides:

_ rogori buStebi airCia niam?

_ rogori buStebi airCia giam?

_ riT hgavs nias buStebi giasas?

_ riT gansxvavdeba gias buStebi nias buStebisagan?

_ e. i. nias da gias buStebs saerTo aqvT feri, gansxvavebuliki _ forma.


_ gaaerTianeT figurebi saerTo niSnis mixedviT (daakavSireT xazebiT).

_ ra niSnis mixedviT gaerTianeT figurebi pirvel naxatze?

16

Tu moswavleebs gauWirdebaT samuSaos Sesruleba, maswavlebeli kiTxvebiT exmareba maT, mag.:

_ riT hgavs figurebi erTmaneTs?

_ riT gansxvavdeba figurebi erTmaneTisagan?

_ ra niSnis mixedviT gaaerTianeT figurebi meore naxatze?

maswavlebeli ismens moswavleebis pasuxebs da Semdeg mimarTavs:

_ e. i. figurebis dajgufeba SeiZleba rogorc feris, ise formis mixedviT.

savarjiSo safuZvels uyris SemoqmedebiTi (modifikacia wesis mixedviT) unar-Cvevis

gamomuSavebas.


_ daakvirdiT naxatebs.

_ ra Seicvala I naxatze? ra ar Seicvala?

_ e. i. Seicvala zoma da ar Seicvala feri da forma.

_ ra Seicvala II naxatze? ra ar Seicvala? da a. S.

wuTSesveneba

maswavlebeli miuTiTebs bavSvebs:

_ dafis erT mxares dadges is, visac dRes Sarvali acvia, meore mxares _ visac dRes kaba acvia.

Semdeg: _ erT mxares dadges, visac cisferi Tvalebi aqvs, meore mxares _ visac yavisferi Tvalebi

aqvs da a. S. (maswavlebeli bavSvebs aerTianebs raime erTi niSnis mixedviT). bolos: _ merxTan

dajdes, vinc pirvelklaselia. yvela jdeba.



_ ra aqvT yvavilebs saerTo? ra aqvT gansxvavebuli?

_ e.i. saerTo aqvT forma, feri, ki _ gansxvavebuli.

_ ra aqvT girCebs saerTo? ra aqvT gansxvavebuli? da a. S.


_ ra aqvT saerTo yvavilebs? ra aqvT gansxvavebuli?

savarjiSoebis mizania, moswavleebma SeZlon saganTa gaerTianeba maTi Tvisebrivi maxasiaTeb-

lebis mixedviT, aseve xels uwyobs saazrovno, SemoqmedebiTi unar-Cvevebis gamomuSavebas.

savarjiSo # 6savarjiSo sruldeba damoukideblad.

maswavlebeli:

_ gaerTianeT figurebi saerTo niSnis mixedviT.

savarjiSos saSualebiT maswavlebeli amowmebs, ramdenad sworad iyeneben moswavleebi

SeZenil codnas.

Semdeg moswavleebi asruleben savarjiSos nimuSis mixedviT.

gakveTili # 4


gakveTilis mizani: moswavlem SeZlos saganTa gaerTianeba maTi Tvisebrivi maxasiaTeblebis

mixedviT. saazrovno unar-Cvevebis gamomuSaveba.

17




gakveTilis msvleloba: maswavlebeli:

_ fexze adges, visac grZeli Tma aqvs.

_ gamodiT (maswavlebeli uTiTebs adgils).

_ fexze adges, visac mokle Tma aqvs.

_ gamodiT (maswavlebeli uTiTebs adgils).

_ fexze adges, visac grZeli Sarvali acvia.

_ gamodiT.

_ fexze adges, visac mokle Sarvali acvia.

_ gamodiT.

_ fexze adges, visac grZeli kaba acvia.

_ gamodiT.

_ fexze adges, visac mokle kaba acvia.

_ gamodiT.

maswavlebeli mimarTavs TiToeul jgufs.

_ ratom moxvdiT am jgufSi?

_ e. i. yvela jgufs Tavisi saerTo maxasiaTebeli niSani aqvs.


_ ras xedavT pirvel naxatze?

_ daarqviT saganTa jgufs saxeli.

_ riT hgavs foTlebi erTmaneTs?

_ riT gansxvavdeba?

_ ras xedavT meore naxatze?

_ daarqviT saganTa jgufs saxeli da a. S.


_ daajgufeT sagnebi saerTo niSnis mixedviT.

_ daarqviT saganTa TiToeul jgufs saxeli.


SeZenil codnas: daajgufon sagnebi saerTo niSnis mixedviT. savarjiSo aseve xels uwyobs sa-

azrovno unar-Cvevebis gamomuSavebas.


gakveTili # 5


gakveTilis mizani: moswavlem SeZlos saganTa Sedarebisas Tvisebrivi maxasiaTeblebis mixedviT

maT Soris Sesabamisobis moZebna.




4) samuSao rveuli _ 5 wT.

18

gakveTilis msvleloba:maswavlebeli debs merxze erT asanTis da erT Wikartis kolofs da asanTis kolofis

Tavsaxurs. samuSao sruldeba wyvilSi.

maswavlebeli:

_ romel kolofs moergeba Tavsaxuri?

_ ratom?

moswavleebi xsnian, ra niSnis mixedviT ergeba kolofs Tavsaxuri.

_ e. i. Tavsaxuri da kolofi zomis mixedviT erTmaneTs Seesabameba.

savarjiSos saSualebiT moswavleebi adgenen saganTa Sesabamisobas zomis mixedviT, rac

saSualebas miscems maT, SeZenili codna praqtikulad gamoiyenon.


_ CaacviT Sesabamisi tansacmeli. daakavSireT xazebiT.

_ gareT wvims, SeurCieT dedas da gogonas Sesabamisi zomis qolga, labada, botebi, mamas da

biWunas ki _ Sesabamisi zomis qurTuki, qudi da xelTaTmanebi.

samuSaos damTavrebis Semdeg maswavlebeli svams kiTxvebs:

_ ratom SeurCie patara qolga gogonas? (didi _ dedas?)

_ ratom SeurCie didi labada dedas? (patara _ gogonas?)

_ ratom Caacvi patara boti gogonas? (didi _ dedas?)

_ ratom Caacvi grZeli labada dedas? (mokle _ gogos?)

_ romelia didi: mama Tu biWuna? romelia patara?

_ romelia didi: deda Tu gogona? romelia patara?

_ ratom Caacvi patara qurTuki biWs? (didi _ mamas?)

_ ratom Caacvi patara xelTaTmanebi biWs? (didi _ mamas?)

_ ratom daaxure patara qudi biWs? (didi _ mamas?)

_ ratom Caacvi grZeli qurTuki mamas? (mokle _ biWs?)

pasuxis gacemis dros moswavle iyenebs cnebebs: didi, patara, maRali, dabali.

savarjiSos mizania, xeli Seuwyos moswavleebSi saganTa Soris calsaxa Sesabamisobis dadgenis

unaris Camoyalibebas.

wuTSesveneba


_ daakavSireT Sesabamisi sagnebi.

_ modiT, SevurCioT tortebs TefSebi.

_ romel TefSze davdoT didi torti? ratom?

_ romel TefSze davdoT patara torti? ratom?

SesaZlebelia, moswavlem Tqvas, rom patara torts did TefSze dadebs, magram savarjiSos

mizania saganTa dakavSirebisas yuradRebis gamaxvileba maT Sesabamisobaze.


maswavlebeli:

_ romel magidaze unda idges didi qvabi da romelze _ patara?

_ ratom?


SeZenil codnas: akavSireben Sesabamis sagnebs erTmaneTTan.

Semdeg moswavleebi asruleben savarjiSos wignSi mocemuli nimuSis mixedviT.

samuSao rveuli

19

gakveTili # 6

gakveTilis Tema: brtyeli geometriuli figura.

gakveTilis mizani: xeli Seuwyos moswavles brtyeli geometriuli figuris amocnobaSi.

saWiro masala: Tabaxis furclebi, webo, makrateli.

saWiro dro:1) aqtiuri savarjiSo_ 15 wT.



maswavleblis wignSi Cadebulia furceli (danarTi 1 ) dasaWreli geometriuli figurebiT.

maswavlebeli gadaaqseroqsebs am furcels moswavleebis jgufebis raodenobis mixedviT.

winaswar daWris figurebs. moamzadebs Tabaxis furclebs: daxatavs oTx geometriul figuras.

gakveTilis msvleloba:maswavlebeli yofs moswavleebs oTxmoswavlian jgufebad.

urigebs TiTo jgufs TiTo Tabaxis furcels, romelzec daxatulia oTxi geometriuli

figura, daWril nawilebs da Tabaxis furclebs.

maswavlebeli:

_ mocemuli naxatebis mixedviT meore furcelze aawyveT figurebi.

samuSaos damTavrebis Semdeg TiToeuli jgufi waradgens Tavis namuSevars. Semdeg maswavlebeli

miuTiTebs TiToeul geometriul figuraze da aswavlis saxelebs (samkuTxedi, oTxkuTxedi, wre).

savarjiSos saSualebiT moswavleebi qmnian brtyeli geometriuli figurebis modelebs.

maswavlebeli:

_ samkuTxedebi da oTxkuTxedebi SeiZleba sxvadasxva formis da zomis iyos.

_ vnaxoT Cvens saklaso oTaxSi msgavsi figurebi (dafa, merxis zedapiri da a. S.).

_ ra sagani iciT mrgvali formis? (moswavleebi asaxeleben mrgval sagnebs).

_ wre SeiZleba sxvadasxva zomis iyos.

savarjiSos saSualebiT moswavleebi ecnobian geometriul figurebs, swavloben maT dasaxelebas

da figurebs Soris gansxvavebas. savarjiSo aseve xels uwyobs saazrovno, sasicocxlo da

sakomunikacio unar-Cvevebis gamomuSavebas.

saxelmZRvaneloze muSaoba:savarjiSo # 1maswavlebeli:

_ gaaferadeT figurebi naxatze miTiTebuli ferebis mixedviT.

_ romeli figuraa gaferadebuli mwvaned?

_ romeli figuraa gaferadebuli wiTlad?

_ romeli figuraa gaferadebuli yviTlad?

_ daasaxeleT, romeli figurebi gaaferadeT wiTlad da a. S.

savarjiSos mizania, moswavleebma SeZlon geometriuli figurebis amocnoba.


samuSao rveuli

gakveTili # 7


gakveTilis mizani: xeli Seuwyos moswavles, SeZlos kanonzomierebis dadgena.

20

saWiro masala: muyaosagan gamoWrili geometriuli figurebi: 3 wiTeli wre, 3 wiTeli oTxkuTxedi da

3 mwvane oTxkuTxedi. (TiTo kompleqti TiTo wyvilisaTvis).





gakveTilis msvleloba:maswavlebeli urigebs moswavleebs geometriuli figurebis kompleqts. samuSao sruldeba wyvilebSi.

maswavlebeli:

_ daajgufeT merxze figurebi saerTo niSnis mixedviT.

samuSaos dasrulebis Semdeg wyvilebi waradgenen namuSevrebs da asaxeleben jgufis saerTo niSans.

maswavlebeli:

_ kidev rogor SeiZleba figurebis daajgufeba?

samuSaos dasrulebis Semdeg wyvilebi waradgenen namuSevrebs da asaxeleben jgufis saerTo niSans.

maswavlebeli:

_ daalageT merxze figurebi Semdegi TanmimdevrobiT: wiTeli oTxkuTxedi, wiTeli wre,

wiTeli oTxkuTxedi, wiTeli wre, wiTeli oTxkuTxedi, mwvane oTxkuTxedi.

_ daakvirdiT merxze dalagebul figurebs. ras amCnevT?

_ rogor ggoniaT, romeli figuraa zedmeti?

_ ra figura unda iyos wiTeli oTxkuTxedis Semdeg?

_ gaasworeT.

_ daalageT merxze figurebi Semdegi TanmimdevrobiT: wiTeli oTxkuTxedi, mwvane oTxkuTxedi,

wiTeli oTxkuTxedi, mwvane oTxkuTxedi, wiTeli oTxkuTxedi, wiTeli wre.

_ daakvirdiT merxze dalagebul figurebs. ras amCnevT?

_ rogor ggoniaT, romeli figuraa zedmeti?

_ ra figura unda iyos wiTeli oTxkuTxedis Semdeg?

_ gaasworeT.

savarjiSos saSualebiT maswavlebeli amowmebs, ramdenad sworad SeuZliaT moswavleebs SeZenili

codnis gamoyeneba: gaaerTianon jgufSi sagnebi saerTo niSnis mixedviT. savarjiSo aseve safuZvels

uyris erTi niSniT gansxvavebul saganTa mimdevrobaSi ganlagebis wesis dadgenas da am wesis darRvevis

aRmoCenas.



_ romelia zedmeti?

_ ratom?

_ SemoxazeT.



_ romelia zedmeti?

_ ratom?

_ SemoxazeT.



_ romelia zedmeti?

_ ratom?

_ SemoxazeT.

21


_ gaagrZeleT gaferadeba.

wuTSesveneba



_ romeli varsklavia zedmeti?

_ ratom?

_ SemoxazeT.


_ SemoxazeT gamotovebuli figura.

_ romeli figura SemoxazeT pirvel naxatze? ratom?

_ e. i. gamotovebulia yviTeli oTxkuTxedi da a. S.


maswavlebeli:

_ CaxateT gamotovebuli figura.


SeZenil codnas: erTi niSnis gansxvavebul saganTa mimdevrobaSi ganlagebis wesis dadgena da am

wesis darRvevis aRmoCena.


samuSao rveuli

gakveTili # 8

gakveTilis Tema: sivrciTi warmodgenebi (cnebebi: marjvena, marcxena, marjvniv, marcxniv, zemoT,

qvemoT)

gakveTilis mizani: moswavlisaTvis xelis Sewyoba umartivesi sivrciTi warmodgenebis for-

mirebaSi. sasicocxlo unar-Cvevebis gamomuSaveba.

saWiro masala: feradi carci, 2 cali buSti.




gakveTilis msvleloba:maswavlebels marjvena xelSi wiTeli buSti uWiravs, marcxenaSi ki _ lurji. maswavlebeli:

_ wiTeli buSti marjvena xelSi miWiravs, lurji buSti ki _ marcxenaSi.

_ romel xelSi miWiravs wiTeli buSti?

_ romel xelSi miWiravs lurji buSti?

maswavlebeli trialdeba saxiT dafisken da mimarTavs moswavleebs:

_ romel xelSi miWiravs wiTeli buSti?

_ romel xelSi miWiravs lurji buSti?

_ aswieT marjvena xeli!

22

_ aswieT marcxena xeli!

_ aswieT marjvena fexi!

_ aswieT marcxena fexi! da a. S. (ramdenjerme).

_ saklaso oTaxSi ra aris Tqvengan marjvniv? (kari, karada da a. S.)

_ saklaso oTaxSi ra aris Tqvengan marcxniv? (fanjara, qoTani da a. S)

maswavlebeli dafis centrSi xatavs yvavils.

maswavlebels rigrigobiT gamohyavs moswavleebi dafasTanda aZlevs davalebas:

_ daxate samkuTxedi yvavilis marjvniv.

_ daxate wre yvavilis marcxniv da a. S.

savarjiSos mizania, xeli Seuwyos moswavleebs umartivesi sivrciTi warmodgenebis formirebaSi.

aseve savarjiSo xels uwyobs sasicocxlo (orientacia sivrceSi) unar-Cvevebis gamomuSavebs.

saxelmZRvaneloze muSaobasavarjiSo # 1 maswavlebeli:

_ SemoxazeT marcxena sagani.

_ romeli vaSli SemoxazeT? da a. S.


_ SemoxazeT marjvena sagani.

_ romeli saTamaSo SemoxazeT? da a. S.


_ Semoxaze marjvniv ori adamiani.

_ vin SemoxazeT?

wuTSesveneba:

Tvlaze: erTi _ xelebi aswieT zeviT;

ori _ SetrialdiT marcxniv;

sami _ dauSviT xelebi qvemoT;

oTxi _ SetrialdiT marjvniv. (ramdenjerme)


_ aRwereT naxati Seswavlili cnebebis gamoyenebiT.

_ ras xedavT zeda Taroze yvelaze marjvniv?

_ ras xedavT qveda Taroze? da a. S.


SeZenil codnas: iyeneben sworad Seswavlil cnebebs.




samuSao rveuli

23

gakveTili # 9

gakveTilis Tema: droiTi warmodgenebi (cnebebi: jer, Semdeg, adre, gvian).

gakveTilis mizani: moswavlisaTvis xelis Sewyoba umartivesi droiTi warmodgenebis formirebaSi.

sasicocxlo unar-Cvevebis gamomuSaveba.

saWiro masala: Tabaxis furclebi, feradi fanqrebi an flomasterebi.




gakveTilis msvleloba: maswavlebeli urigebs bavSvebs Tabaxis furclebs da aZlevs davalebas.

maswavlebeli:

_ yuradRebiT momismineT, daimaxsovreT da daxateT.

_ furclis SuaSi daxateT saxli. maRla mze anaTebs, qvemoT, saxlTan, yvavilebia, saxlis marjvniv

xe dgas, saxlis marcxniv burTi devs.


SeZenil codnas (orientacia sivrceSi).



_ rogor ggoniaT, vin gaiRviZa ufro adre _ gogonam Tu biWma?

_ vin gaiRviZa ufro gvian _ gogonam Tu biWma?

_ jer vin daibana piri?

_ Semdeg vin daibana piri?

_ jer vin miujda sasauzmod magidas?

_ vin Seudga sauzmes ufro gvian?


_ modiT, gavixsenoT gvritis Tavgadasavali. amaSi dagexmarebaT naxati, romelic Tqvens

wignSia mocemuli. bavSvebi maswavleblis daxmarebiT hyvebian zRapars cnebebis `jer~, `Semdeg~,

àdre~, `gvian~ gamoyenebiT.

mocemuli savarjiSoebi xels uwyobs sasicocxlo (droSi orientacia) unar-Cvevebis gamuSavebas.

wuTSesveneba


_ daakavSireT sagnebi nimuSis mixedviT.

_ rogor daakavSireT?

_ ratom?

_ e. i. sagnebi dakavSirebulia feris mixedviT.


_ romeli sagania zedmeti?


samuSao rveuli

24

gakveTili # 10

gakveTilis Tema: sivrciTi warmodgenebi (cnebebi: win, ukan, Soris).

gakveTilis mizani: moswavlisaTvis xelis Sewyoba sivrciTi warmodgenebis formirebaSi.

sasicocxlo unar-Cvevebis gamomuSaveba.

saWiro masala: qaRaldze gadasayvani suraTebi (manqanebi da Tojinebi).





gakveTilis msvleloba:maswavlebels gamohyavs ori moswavle (biWi da gogo) dafasTan da aZlevs maT TiTo parks,

romlebSic Cayrilia qaRaldze gadasayvani suraTebi: erTSi _ manqanebi (biWs), meoreSi _ Tojinebi

(gogos) (SesaZlebelia sxva sagnebis gamoyeneba).

maswavlebeli:

_ gias TqvenTvis aqvs gadasayvani manqanebi, nias ki _ gadasayvani Tojinebi (saxelebi pirobiTia).

visac manqanebi unda, dadeqiT giasTan, visac Tojinebi unda, niasTan dadeqiT, oRond rigi daicaviT.

bavSvebi gias da nias gaswvriv or rigad mwkrivdebian. maswavlebeli awesrigebs rigebs da saTi-

Taod ekiTxeba yvela moswavles, vin dgas rigSi mis win da vin dgas mis ukan.

amis Semdeg maswavlebeli mimarTavs bavSvebs:

_ vin dgas manqanebis rigSi yvelaze win?

_ Semdegi? da a. S.

_ vin dgas Tojinebis rigSi yvelaze win?

_ Semdegi? da a. S.

_ vis da vis Soris dgas lia?

Semdeg biWi Tavis rigSi yvelas saTiTaod urigebs manqanebs da moswavleebi ubrundebian

TavianT adgilebs.

analogiurad gogona yvelas saTiTaod urigebs Tojinebs.

TiTo manqanas da Tojinas iReben gia da niac.

savarjiSos saSualebiT xdeba cnebebis `win~, ùkan~, `Soris~ gacnoba. sasicocxlo (orientacia

sivrceSi) unar-Cvevebis gamomuSaveba.


_ ra dgas biWis win?

_ vin dgas biWis ukan?

_ vin dgas gogonas win?

_ ra dgas gogonas ukan?

_ ra aris rigSi yvelaze win?

_ Semdeg?

_ Semdeg rigSi ra Seicvala?

_ axla vin aris rigSi yvelaze win?

_ Semdeg?

_ vin aris Citis win?

_ vin aris Citis ukan?

_ ra aris gogonas win?

_ ra aris gogonas ukan?

_ ra aris rigSi bolo?

savarjiSos saSualebiT xdeba cnebebis `win~, ùkan~, `Soris~ sworad gamoyeneba.

25

savarjiSo xels uwyobs saazrovno (Sedareba, dakvirveba) unar-Cvevebis gamomuSavebas.


_ ra Seicvala?

_ ra icvleba yovel momdevno naxatze?



wuTSesveneba


_ ra Seicvala?

_ ra aris zRarbis win?

_ ra aris zRarbis ukan?

_ axla ra aris zRarbis win?

_ ra aris zRarbis ukan?

_ ra da ras Soris dgas zRarbi?

_ ra Seicvala?


maswavlebeli:

_ daakavSireT sagnebi nimuSis mixedviT.

_ romeli sagnebi daakavSireT?

_ ratom?

_ riT hgavs sagnebi erTmaneTs?

_ riT gansxvavdeba isini erTmaneTisagan?


samuSao rveuli

gakveTili # 11

gakveTilis Tema: jgufSi saganTa raodenoba. cnebebi: `bevri~ da `cota~.

gakveTilis mizani: moswavleebi gaecnon cnebebs `bevri~ da `cota~ realur viTarebasTan kavSirSi,

SeZlon maTi sworad gamoyeneba.

saWiro masala: patara zomis misawebebeli furclebi, qaRaldis formati, feradi fanqrebi, webo.





gakveTilis msvleloba:maswavlebeli urigebs moswavleebs patara zomis furclebs da aZlevs davalebas:

_ yvelam daxatos furcelze TiTo yvavili.

samuSaos damTavrebis Semdeg maswavlebeli akravs dafaze qaRaldis formats da yofs Suaze.

maswavlebeli:

26

_ pirvel rigSi mjdomi bavSvebi saTiTaod gamodiT da miakariT furclebi formatis marcxena

mxares da daubrundiT adgilebs. danarCenma moswavleebma miakariT furclebi marjvena mxares.

maswavlebeli:

_ SevxedoT Tqven mier Sesrulebul samuSaos:

_ ras xedavT marcxena mxares?

_ ras xedavT marjvena mxares?

_ marjvena mxares yvavilebis ufro didi grova miviReT. ratom?

_ marcxena mxares yvavilebis ufro patara grova miviReT. ratom?

(pirvel rigSi cota moswavlea, danarCeni moswavleebi bevria).

savarjiSo safuZvels uyris raodenobrivi maxasiaTeblis mixedviT saganTa jgufebis

Sedarebis unar-Cvevis gamomuSavebas.

Sesrulebul plakats maswavlebeli kidebs kedelze (da Semdeg gakveTilze gamoiyenebs).


_ erT naxatze xatia zafxuli, meoreze _ Semodgoma.

_ rogor ggoniaT, romelia zafxuli?

_ romeli Semodgoma?

_ ratom?

_ e. i rodesac bevria yvavili, Citi da a. S., aris zafxuli, rodesac cota _ Semodgoma.

maswavlebeli:

_ ra icvleba Semodgomaze zafxulTan SedarebiT?

_ zafxulSi bevri foTolia, Semodgomaze _ cota.

_ zafxulSi bevri yvavilia, Semodgomaze _ cota.

_ zafxulSi bevri Citia, Semodgomaze _ cota.

savarjiSo xels uwyobs gamoyenebas cnebebis `bevrisa~ da `cotas~ jgufSi saganTa raodenobis

aRsaniSnavad da raodenobis dakavSirebas garkveul movlenebTan (mag. weliwadis dro). agreTve

saazrovno (Sefaseba, Sedareba) unar-Cvevebis gamomuSavebas.


_ gaaferadeT oTxkuTxedebi.

wuTSesveneba

swor gamonaTqvamze moswavleebi fexze dgebian, mcdarze jdebian.

mag.: caze bevri varskvlavia, zRarbs cota ekali aqvs da a.S.


_ aRwereT zamTrisa da gazafxulis naxatebi Seswavlili cnebebis gamoyenebiT.

savarjiSos saSualebiT maswavlebeli amowmebs da afasebs, ramdenad sworad iyeneben moswav-

leebi SeZenil codnas.


samuSao rveuli

27

gakveTili # 12

gakveTilis Tema: saganTa jgufebs Soris damokidebuleba. cnebebi `meti~, `naklebi~, ìmdenive~.

gakveTilis mizani: saganTa jgufebis Sedarebisas raodenobrivi maxasiaTeblis mixedviT dawyvi-

lebis xerxis gamoyeneba. cnebebis `meti~, `naklebi~, ìmdenives~ gacnoba.

saWiro masala: wina gakveTilze Sesrulebuli plakati. patara zomis lurji da yviTeli misawebebeli

furclebi (Tanabari raodenoba), webo.





gakveTilis msvleloba: gakveTili iwyeba ganvlili masalis gameorebiT. amisTvis maswavlebeli iyenebs wina gakveTilze

Sesrulebul plakats.

maswavlebeli:

_ sad ufro bevri yvavilia: marjvniv Tu marcxniv?

_ sad ufro cota yvavilia: marjvniv Tu marcxniv?

Semdeg maswavlebeli iwyebs plakatis marjvena da marcxena mxares ganlagebuli yvavilebis

xazebiT dakavSirebas.

maswavlebeli:

_ marjvena mxares ramdenime yvavili marto darCa. rogor ggoniaT, ratom? (marjvena mxares bevri

yvavilia).

_ e. i. marjvena mxares yvavilebis raodenoba metia, marcxena mxares _ naklebi.

savarjiSo saSualebiT moswavleebi TvalnaTliv xedaven, rogor SeiZleba saganTa jgufebis

Sedarebisas raodenobrivi maxasiaTeblis mixedviT dawyvilebis xerxis gamoyeneba. ecnobian cnebebs

`meti~, `naklebi~.

maswavlebeli moswavleebs urigebs winaswar momzadebul patara zomis misawebebel lurj

da yviTel furclebs. (Tanabari raodenobiT).

maswavlebeli:

_ daadgineT, romelia meti/naklebi: yviTeli Tu lurji furclebi?

maswavlebeli aZlevs moswavleebs saSualebas, TviTon moifiqron Sedarebis xerxi da Semdeg exmareba maT.

maswavlebeli:

_ axla TiToeulma lurjma furcelma moZebnos yviTeli furceli (TiToeulma yviTelma

furcelma _ lurji furceli). moswavlebi awebeben lurj da yviTel furclebs erTmaneTs. Tu vinme

wyvilis gareSe darCeba, masTan maswavlebeli dawyvildeba. Semdeg TiToeuli wyvili midis maswav-

leblis magidasTan, debs furcels da ubrundeba adgils.

maswavlebeli:

_ yvela lurjma furcelma ipova yviTeli furceli (yviTelma furcelma _ lurji), e. i. lurji

furclebi yviTlebze meti ar yofila (yviTeli _ lurjze). lurji furclebi ki yviTelze naklebi

ar iyo (yviTeli _ lurjze), maTi raodenoba Tanabaria _ e. i. lurji furclebi ìmdenivea~, ramdenic

yviTeli (yviTeli furclebi ìmdenivea~, ramdenic lurji).

savarjiSo xels uwyobs dawyvilebis xerxis gamoyenebiT Tanabari raodenobis dadgenas da cneba

ìmdenives~ gagebas, aseve saazrovno (amocanis gaazreba da mis gadasaWrelad saWiro xerxis moZebna)

unar-Cvevis gamomuSavebas.

saxelmZRvaneloze muSaobasavarjiSo #1maswavlebeli:

_ romel saxls aqvs meti/naklebi fanjara? daadgineT.

_ rogor daadgineT?

28


_ vin aris meti/naklebi? daadgineT.

_ rogor daadgineT?

_ e. i. imdeni gogonaa, ramdenic biWi.


_ romelia meti/naklebi, imdenive?

_ rogor daadgineT?

wuTSesveneba


_ SeadareT.

_ romelia meti/naklebi: biWebi Tu gogonebi?

_ romelia meti /naklebi: vaSlebi Tu kanfetebi?

_ romelia meti/naklebi: flomasterebi Tu bavSvebi?

_ romelia meti/naklebi: vaSlebi Tu bavSvebi?

_ romelia meti/naklebi: kanfetebi Tu bavSvebi?


maswavlebeli:

_ rogor gaaTanabrebT samive rigSi kuburebis raodenobas?

savarjiSos saSualebiT maswavlebeli amowmebs da afasebs, ramdenad sworad iyeneben moswavleebi

SeZenil codnas: afaseben da adareben saganTa jgufebs raodenobrivi maxasiaTeblebis mixedviT.


samuSao rveuli

gakveTili # 13

gakveTilis Tema: saganTa jgufebs Soris damokidebuleba. cnebebi: `meti~, `naklebi~, ìmdenive~.

gakveTilis mizani: saganTa jgufebis Sedarebisas raodenobrivi maxasiaTeblis mixedviT dawyvilebis

xerxis gamoyeneba. cnebebis `meti~, `naklebi~, ìmdenives~ gamoyeneba.

saWiro masala: qaRaldisagan gamoWrili samkuTxedebi da kvadratebi, qaRaldis formati, webo.

maswavlebeli uTanxmdeba Sromis maswavlebels da gakveTilisTvis saWiro samkuTxedebs da kvad-

ratebs moswavleebi Sromis gakveTilze amzadeben.





gakveTilis msvleloba:maswavlebeli urigebs moswavleebs maT mier damzadebul samkuTxedebs da kvadratebs:

I rigs _ Tanabari raodenobis samkuTxedebs da kvadratebs.

II rigs _ samkuTxedebs da kvadratebs (samkuTxedebi 2-iT metia).

29

III rigs _ samkuTxedebs da kvadratebs (kvadratebi 2-iT metia).

Semdeg kidebs dafaze sam nawilad gayofil qaRaldis formats da mimarTavs klass:

_ pirveli rigis sayuradRebod: miakariT Tqveni oTxkuTxedebi da samkuTxedebi ise, rom

miviRoT saxlebi.

_ axla vnaxoT, yvela saxls aqvs saxuravi?

_ e. i. oTxkuTxedebis da samkuTxedebis raodenoba Tanabaria.

_ II rigis sayuradRebod: miakariT Tqveni oTxkuTxedebi da samkuTxedebi ise, rom miviRoT

saxlebi.

_ axla vnaxoT, yvela saxls aqvs saxuravi?

_ ramdeni saxuravi darCa saxlis gareSe? (2)

e. i. saxuravebis raodenoba metia.

_ III rigis sayuradRebod: miakariT Tqveni oTxkuTxedebi da samkuTxedebi ise, rom miviRoT

saxlebi.

_ axla vnaxoT, yvela saxls aqvs saxuravi, saxuravs aqvs Tavisi saxli?

_ ramdeni saxli darCa saxuravis gareSe? (2)

e. i. saxlebis raodenoba metia.

gamzadebul plakats maswavlebeli kidebs kedelze.

savarjiSo xels uwyobs Seswavlili masalis gameorebas.

saxelmZRvaneloze muSaobasavarjiSoebi sruldeba damoukideblad.


_ romelia meti/naklebi bavSvebi Tu kanfetebi? (Sedareba dawyvilebiT).


_ romelia meti/naklebi: lekvebi Tu budruganebi? (Sedareba dawyvilebiT).

_ romelia meti/naklebi: futkrebi Tu yvavilebi? (Sedareba dawyvilebiT).


_ romelia meti/naklebi: foTlebi Tu muxluxoebi? (Sedareba dawyvilebiT).

wuTSesveneba

maswavlebeli:

_ gogonebi adeqiT fexze.

_ axla CajeqiT.

_ biWebi adeqiT fexze.

_ axla CajeqiT.

_ yvela adges.

_ vnaxoT, vin aris meti/naklebi: gogonebi Tu biWebi? (dawyvilebiT).


_ romelia meti/naklebi: wruwuna Tu yveli?

_ axla romelia meti/naklebi: wruwuna Tu yveli?


_ romelia zedmeti?

_ ratom?

savarjiSoebis saSualebiT maswavlebeli amowmebs da afasebs, ramdenad sworad iyeneben

30

moswavleebi SeZenil codnas: adareben saganTa jgufebs raodenobrivi maxasiaTeblebis mixedviT,

arqmeven saganTa jgufebs saxels da gamoyofen zedmet sagans.


samuSao rveuli

gakveTili # 14

gakveTilis Tema: saganTa jgufebs Soris damokidebuleba. cnebebi `meti~, `naklebi~.

gakveTilis mizani: saganTa jgufebis Sedarebisas raodenobrivi maxasiaTeblis mixedviT

dawyvilebis xerxis gamoyeneba. cnebebis `meti~, `naklebi~, ìmdenives~ gamoyeneba.

saWiro masala: patara zomis plastmasis boTlebi da Tavsaxurebi (araTanabari raodenoba).





gakveTilis msvleloba:maswavlebeli moswavleebs urigebs patara zomis plastmasis boTlebs da Tavsaxurebs. zogs _

boTls, zogs _ Tavsaxurs. boTlebisa da Tavsaxurebis raodenoba araTanabaria (Tavsaxurebi 2-iT

metia).

maswavlebeli:

_ zog Tqvengans boTli aqvs, zogs Tavsaxuri.

_ daadgineT, romelia meti/naklebi, boTlebi Tu Tavsaxurebi.

maswavlebeli aZlevs moswavleebs saSualebas, TviTon moifiqron Sedarebis xerxi da Semdeg

exmareba maT:

_ daaxureT boTlebs Tavsaxurebi.

_ ramdenime Tavsaxuri boTlis gareSe darCa. e. i. metia.

maswavlebeli:

_ daadgineT, romelia meti/naklebi, merxebi Tu skamebi?

maswavlebeli aZlevs moswavleebs saSualebas, TviTon moifiqron Sedarebis xerxi da Semdeg

exmareba maT:

_ TiTo merxTan TiTo skami dadgiT.

savarjiSoebis mizania, moswavleebma SeZlon SeZenili codnis praqtikulad gamoyeneba.



_ SeadareT.


_ CaxateT ujrebSi wreebis raodenobis Sesabamisi wertilebi.

wuTSesveneba

31


_ SeadareT.


_ gaagrZeleT.


moswavleebi SeZenil codnas.


samuSao rveuli

gakveTili # 15

gakveTilis Tema: saganTa Tvisebebi (niSnebi): feri, forma da zoma.

gakveTilis mizani: maswavleblisTvis xelis Sewyoba, Seamowmos da Seafasos, ramdenad sworad

iyeneben moswavleebi SeZenil codnas. saazrovno da sakomunikacio unar-Cvevebis gamomuSaveba.

saWiro masala: saxatavi furclebi, qaRaldis formati, feradi fanqrebi, feradi carci.





gakveTilis msvleloba: maswavlebeli moswavleebs yofs oTxbavSvian jgufebad, yvela jgufs urigebs TiTo saxatav

furcels da aZlevs davalebas:

I _ jgufSi erT furcelze yvelam daxatos TiTo yvavili da gaaferados.

II _ jgufSi erT furcelze yvelam daxatos TiTo pepela da gaaferados.

III _ jgufSi erT furcelze yvelam daxatos TiTo foToli da gaaferados.

IV _ jgufSi erT furcelze yvelam daxatos TiTo vaSli da gaaferados.

V _ jgufSi erT furcelze yvelam daxatos TiTo msxali da gaaferados.

VI _ jgufSi erT furcelze yvelam daxatos TiTo soko da gaaferados.

samuSaos damTavrebis Semdeg jgufebs saTiTaod gamoaqvT namuSevrebi. maswavlebeli akravs

namuSevars dafaze Camokidebul formatze da mimarTavs jgufs:

_ riT hgavs es yvavilebi erTmaneTs?


jgufi eZebs msgavsebas da gansxvavebas da Semdeg axasiaTebs yvavilebs (SeiZleba, yvavilebi

arafriT ar hgavdes erTmaneTs, SeiZleba hgavdes feriT, formiT an zomiT).

analogiurad waradgens namuSevars yvela jgufi. rodesac yvela namuSevari gakruli iqneba

formatze, maswavlebeli mimarTavs klass:

_ hgavs saganTa romelime jgufi erTmaneTs? (raodenobiT, SeiZleba feriT msgavseba).


leebi SeZenil codnas: Seadaron sagnebi da saganTa jgufebi Tvisebrivi da raodenobrivi maxasiaTeb-

lebis mixedviT.


32


_ erTnairi zomisa da formis saTamaSoebi daakavSireT Tovlis babuasTan wiTeli xazebiT.

_ erTnairi ferisa da zomis saTamaSoebi daakavSireT Tovlis babuasTan lurji xazebiT.


_ gadaxazeT zedmeti naxati.

wuTSesveneba

maswavlebeli ayenebs moswavleebs fexze da uxsnis:

_ swor gamonaTqvamze xelebs maRla aswevT da welSi gaswordebiT, arasworze CajdebiT, mag.:

lomi didia, WianWvela didia, spilo pataraa, Tagvi pataraa da a. S.

wuTSesvenebis Semdeg maswavlebeli xatavs dafaze geometriul figurebs:

wiTeli oTxkuTxedi, lurji oTxkuTxedi, wiTeli oTxkuTxedi, lurji oTxkuTxedi, wiTeli

oTxkuTxedi, lurji oTxkuTxedi, wiTeli oTxkuTxedi.

maswavlebeli:

_ naxatze Secdomaa. ipoveT Secdoma da sworad daxateT.

samuSao sruldeba wyvilSi.


_ SemoxazeT gansxvavebuli sagani.


_ gaagrZeleT da SeadareT erTmaneTs.


moswavleebi SeZenil codnas: adareben sagnebs Tvisebrivi maxasiaTeblebis mixedviT, adareben saganTa

jgufebs raodenobrivi maxasiaTeblebis mixedviT, saganTa jgufSi gamoyofen gansxvavebas, adgenen

mimdevrobis kanonzomierebas da adareben erTi niSniT gansxvavebul or mimdevrobas erTmaneTs.

samuSao rveuli

gakveTili # 16

gakveTilis Tema: saganTa jgufebs Soris damokidebuleba.







gakveTilis msvleloba:saxelmZRvaneloze muSaoba.savarjiSoebi sruldeba damoukideblad.


_ romelia meti/naklebi?

33


_ daakavSireT naxatebi nimuSis mixedviT.


_ romelia zedmeti? gadaxazeT.



wuTSesveneba

maswavlebeli moswavleebs sTavazobs TamaSs `matareblobana~. karTan (gareT) amwkrivebs

bavSvebs. pirveli bavSvi iTvleba memanqaned. matareblis moZraobis mimarTulebas gansazRvravs

maswavlebeli.

_ memanqanev, win!

_ marcxniv!

_ marjvniv!

_ marjvniv!

_ marcxniv!

_ marjvniv!

_ matarebelo, sdeq!

_ dasxediT!


_ CaxateT saganTa raodenobis Sesabamisi wertilebi.


moswavleebi SeZenil codnas: adareben saganTa jgufebs raodenobrivi maxasiaTeblebis mixedviT,

adgenen saganTa jgufebs Soris Sesabamisobas raodenobrivi maxasiaTeblebis mixedviT, saganTa

jgufSi gamoyofen gansxvavebas, adgenen kanonzomierebas, gamosaxaven raodenobas modelis

saSualebiT.


samuSao rveuli

* * *

pirvel TavSi mocemuli masalis Seswavlis Sedegad moswavles SeuZlia:

• saganTa Sedareba Tvisebrivi maxasiaTeblebis mixedviT.

• saganTa gaerTianeba jgufSi Tvisebrivi maxasiaTeblebis mixedviT.

• sagnebs Soris Sesabamisobis dadgena Tvisebrivi maxasiaTeblebis mixedviT.

• jgufSi saganTa raodenobis (`bevri~, `cota~) gansazRvra.

• saganTa jgufebis Sedareba raodenobrivi maxasiaTeblebis mixedviT, dawyvilebis xerxis gamoyeneba.

• saganTa jgufebs Soris Sesabamisobis dadgena raodenobrivi maxasiaTeblebis mixedviT.

• erTi niSniT gansxvavebuli sagnebis mimdevrobiT ganlageba.

• erTi niSniT gansxvavebuli ori mimdevrobis Sedareba.

• dasaxelebuli brtyeli figuris amocnoba.

• saganTa jgufSi miTiTebuli figuris amorCeva.

gakveTilebze Catarebuli individualuri, wyvilSi da jgufuri savarjiSoebi safuZvels uyris:

saazrovno (Sefaseba, Sedareba, problemis gadaWris xerxis moZebna, modelireba), sakomunikacio

(sxvisi azris mosmena, azris gamoTqma, argumentacia, namuSevris wardgena, Seswavlili cnebebis

gamoyeneba), sasicocxlo (TanamSromloba, drosa da sivrceSi orientacia), SemoqmedebiTi unar-

Cvevebis gamomuSavebas.

34

II Tavis Sinaarsi

1. erTniSna ricxvebi.

1-dan 10-mde ricxvebis TanmimdevrobiT dasaxeleba da aRniSvna. saganTa Tvla. ricxvi 0 da

misi aRniSvna. ricxvebis Sedareba. metobis, naklebobis da tolobis niSnebi (`<~, `>~, `=~).

2. geometriuli figurebi.

wre, samkuTxedi, oTxkuTxedi, xuTkuTxedi, eqvskuTxedi.

3. saganTa perioduli ganlageba.

meore TavSi Sesaswavli masalis mizania ricxvsa da cifrs Soris Sesabamisobis dadgena,

romelic saSualebas aZlevs moswavleebs, gaigon, rom cifriT SeiZleba aRiniSnos ricxvi,

romelic gamoxatavs Sesabamisi raodenobis sagnebs.

aseve unda gavacnoT moswavleebs erTniSna ricxvebis mimdevroba.

yoveli axali ricxvis gacnoba xdeba maTTvis ukve cnobili ricxvis Sesabamis saganTa raodeno-

baze erTi sagnis damatebiT, rac saSualebas aZlevs moswavleebs, gaacnobieron ricxvebis mimdev-

robis Caweris wesi.

es saSualebas aZlevs mas, gaigos naturalur ricxvTa rigis agebis principi, romelSic yoveli

momdevno ricxvi wina ricxvze 1-iT metia da yoveli wina ricxvi momdevnoze 1-iT naklebia.

sagnebze savarjiSoebis saSualebiT moswavleebi swavloben agreTve win da ukan 1-is toli

bijiT Tvlas.

yoveli axali ricxvis Seswavlisas sagnebis saSualebiT isini, TvalnaTliv dainaxaven am

ricxvis Sedgenilobas.

swavloben `>~, `<~ da `=~ niSnebs da maT gamoyenebas ricxvebs Soris damokidebulebis

aRsaniSnavad.

moswavleebi swavloben ricxvebis gamoyenebas sagnebis rigobiTobis da numeraciis aRsaniSnavad.

samuSao rveulSi mocemuli savarjiSoebi maswavlebels SeuZlia Tavisi Sexedulebisamebr

gamoiyenos rogorc klasSi samuSaod, ise saSinao davalebisaTvis.

erTniSna ricxvebiricxvi 1. cifri 1

ricxvi 2. cifri 2

ricxvebi 1 da 2

ricxvi 3. cifri 3

ricxvebi 1, 2, 3

ricxvi 4. cifri 4

ricxvebi 1, 2, 3, 4

ricxvi 5. cifri 5

ricxvebi 1, 2, 3, 4, 5

ricxvi 6. cifri 6

ricxvebi 1, 2, 3, 4, 5, 6

ricxvi 7. cifri 7

ricxvebi 1, 2, 3, 4, 5, 6, 7

ricxvi 8. cifri 8

ricxvebi 1, 2, 3, 4, 5, 6, 7, 8

ricxvi 9. cifri 9

ricxvebi 1, 2, 3, 4, 5, 6, 7, 8, 9

ricxvi 0. cifri 0

II Tavi

Temis dasaxeleba sT.#

17.

18.

19.

20.

21.

22.

23.

24.

25.

26.

27.

28.

29.

30.

31.

32.

33.

34.

1

1

1

1

1

1

1

1

1

1

1

1

1

1

1

1

1

1

35

gakveTilis Tema: ricxvi 1. cifri 1.

gakveTilis mizani: moswavleebma iswavlon ricxv 1-is gamoyeneba saganTa Sesabamisi raodenobis

aRsaniSnavad. cifr 1-is wera.

saWiro masala: sxvadasxva saxis geometriuli figurebi, gaumWvirvale parki, furclebi.





gakveTilis msvleloba: maswavlebeli urigebs moswavleebs furclebs. mas gamzadebuli aqvs gaumWvirvale parki

geometriuli figurebiT. gamohyavs dafasTan erTi moswavle. maswavlebeli:

_ parkSi Cauxedavad amoiRe wre da daxate dafaze.

mimarTavs moswavleebs:

_ Tqvens furclebzec daxateT aseTive figura.

gamohyavs dafasTan meore moswavle.

maswavlebeli:

_ parkSi Cauxedavad amoiRe samkuTxedi da daxate dafaze.



gamohyavs dafasTan mesame moswavle.

maswavlebeli:

_ parkSi Cauxedavad amoiRe oTxkuTxedi da daxate dafaze.



_ ramdeni wrea daxatuli dafaze?

(maswavlebeli Camousvams dafaze 1 xazs, moswavleebi ki _ furcelze).

_ ramdeni samkuTxedia dafaze?


_ ramdeni oTxkuTxedia dafaze?


_ ramdeni xazia wris gverdiT? (1)

_ ratom?

_ ramdeni xazia samkuTxedis gverdiT? (1)

_ ratom?

saswavlomiznebi


droisganawileba

resursebi Semowmeba

moswavlem

iswavlos saganTa

Sedareba

Tvisebrivi

maxasiaTeblebis

mixedviT.

safuZvlis Cayra

saazrovno unar-

Cvevebis

gamomuSavebisaTvis.

individualuri

jgufuri

1) 10 wT.

2) 15 wT.

3) 5 wT.

wuTSesveneba 3 wT.

sxvadasxva

saxis

geometriuli

figurebi,

gaumWirvaLE

PARKI, FURCLEBI.

savarjiSo

# 6


1) aqtiuri

savarjiSo.

2) saxelmZRva-

neloze

muSaoba

3) samuSao

rveuli

gakveTili # 17

36

_ ramdeni xazia oTxkuTxedis gverdiT? (1)

_ ratom?

TamaSis saSualebiT moswavleebi TvalnTvliv xedaven ricxv erTis Sesabamisobas saganTa

raodenobasTan.


_ ramdeni daTuniaa?

_ ramdeni wertilia kamaTelze?

_ ramdeni yvavilia?

_ ramdeni samkuTxedia?

_ ramdeni kuburaa?


_ ras xedavT marcxena naxatze?

_ naxats erTi sityviT daarqviT saxeli. (dRe)

_ ramdeni xea?

_ ramdeni mzea?

_ ramdeni yvavilia? (bevri) da a. S.

_ ras xedavT marjvena naxatze?

_ naxats erTi sityviT daarqviT saxeli (Rame)


_ CaxateT ujraSi sagnebis raodenobis Sesabamisi wertilebi.

_ ramdeni vaSlia daxatuli?

_ ramdeni wertilia dasmuli?

_ ramdeni sokoa daxatuli?

_ ramdeni wertili unda dasvaT? da a. S.

savarjiSos xels uwyobs ricxvi erTis modeliT gamosaxvas.

wuTSesveneba


_ ipoveT yvela erTiani da SemoxazeT.


_ gaaferadeT imdeni wre, ramdeni saganicaa oTxkuTxedSi.


maswavlebeli:

_ CawereT cariel ujrebSi raodenobis aRmniSvneli ricxvebi.

maswavlebeli amowmebs da afasebs, ramdenad sworad iyeneben moswavleebi ricxv erTs saganTa

Sesabamisi raodenobis aRsaniSnavad.

Semdeg maswavlebeli dafaze aCvenebs moswavleebs, rogor iwereba cifri 1.

saTiTaod gamohyavs yvela moswavle dafasTan da exmareba cifr 1-is weraSi.

moswavleebi wignSi mocemuli nimuSis mixedviT asruleben savarjiSos.

samuSao rveuli

37

gakveTili # 18








gakveTilis msvleloba:maswavlebeli:

_ aiReT 1 sagani da maCveneT. ar dauSvaT.

_ aiReT kidev 1 sagani da maCveneT.

_ erTi sagani da kidev erTi sagani aris ori sagani.

_ ramdeni xeli gaqvT aweuli?

_ ramdeni sagani giWiravT?

_ jer ramdeni xeli gqondaT aweuli?

_ Semdeg ramdeni xeli aswieT?

_ erTi xeli da kidev erTi xeli ramdeni xelia?

_ e. i adamians aqvs ori xeli, fexi da a. S.

_ ramdeni bavSvi zis TiTo merxTan? davTvaloT.

_ Tvlisas jer romeli ricxvi daasaxeleT?

_ Semdeg?

_ erTis momdevno ricxvia ... (winadadeba bavSvebma unda daasrulon).

_ oris wina ricxvia ... (winadadeba bavSvebma unda daasrulon).

savarjiSos saSualebiT moswavleebi xedaven ricxv oris Sesabamisobas saganTa raodenobasTan.


_ ramdeni sokoa?



_ ramdeni balia?


_ CaxateT ujraSi sagnebis raodenobis Sesabamisi wertilebi.


_ SemoxazeT or-ori sagani.


_ CawereT ujraSi 1-is momdevno ricxvi.

_ ra ricxvi CawereT?

_ romelia oris wina ricxvi?

wuTSesveneba

38


_ CawereT wreebSi wertilebis raodenobis Sesabamisi ricxvi.

savarjiSoebis saSualebiT moswavleebi ricxv oriT aRniSnaven saganTa Sesabamis raodenobas,

gamoyofen saganTa erTobliobidan or sagans, adgenen ricxv oris adgils ricxvTa mimdevrobaSi.


maswavlebeli:

_ SemoxazeT erTnairi sagnebi da daakavSireT Sesabamis ricxvTan.

savarjiSos saSualebiT maswavlebeli amowmebs da afasebs, ramdenad sworad iyeneben

moswavleebi SeZenil codnas: Seusabamon raodenoba ricxvs da piriqiT.




samuSao rveuli

gakveTili # 19

gakveTilis Tema: ricxvebi 1, 2. cifrebi 1, 2.

gakveTilis mizani: moswavleebma iswavlon ricxvebis 1-isa da 2-is gamoyeneba saganTa Sesabamisi

raodenobis aRsaniSnavad. wyvili. `>~ da `<~ niSnebis gacnoba.





gakveTilis msvleloba:

maswavlebeli dafas yofs eqvs tol nawilad da TiToeul nawilSi xatavs Semdeg sagnebs:

maswavlebeli:

_ daakvirdiT naxatebs, daTvaleT, ramdeni sagnia TiToeul naxatze da imdenjer daakakuneT

merxze.

_ ramdeni yvavilia? (maswavlebeli dafaze wers 2-s).

_ ramdeni futkaria? (wers 1-s).

_ ramdeni naZvia?

_ ramdeni saxlia?

_ ramdeni Rrubelia?

_ ramdeni mzea?

savarjiSos saSualebiT maswavlebeli amowmebs, ramdenad kargad gaiges moswavleebma

ricxvebis erTisa da oris mniSvneloba.

Semdeg maswavlebeli sTxovs moswavleebs, daakvirdnen erTmaneTs da Tqvan, ra aqvT ori:

2 yvavili 1 futkari 2 naZvi

1 saxli 2 Rrubeli 1 mze

39

_ ori xeli

_ ori fexi

_ ori Tvali

_ ori yuri

maswavlebeli:

_ or erTnair sagans wyvili hqvia.


_ ramdeni bavSvi TamaSobs klasobanas pirvel naxatze?

_ ra Seicvala meore naxatze?

_ axla ramdeni bavSvi TamaSobs?

savarjiSos saSualebiT moswavleebi xedaven, rom erT saganze kidev erTis damatebiT miiReba

ori sagani.

_ ramdeni ixvis Wuki curavs wyalSi?

_ ra Seicvala?

_ axla ramdeni ixvis Wuki curavs wyalSi?

savarjiSos saSualebiT moswavleebi xedaven, rom or sagans rom movakloT erTi sagani,

darCeba erTi sagani.

savarjiSos saSualebiT moswavleebi xedaven, Tu rogor SeiZleba erTidan ori sagnis da ori

sagnidan erTis miReba. savarjiSo aseve amzadebs moswavleebs ricxvebze Sesabamisi moqmedebebis

SesrulebisaTvis.


_ SemoxazeT `wyvili~:

_ CamoTvaleT naxatze daxatuli `wyvilebi~.



wuTSesveneba



_ ramdeni qudia marcxniv? CawereT Sesabamisi ricxvi.

_ ramdeni qudia marjvniv? CawereT Sesabamisi ricxvi.

_ `metoba/nakleboba~ aRiniSneba `>~ `<~ niSnebiT.

_ advilad SegiZliaT daimaxsovroT: niSans piri Ria aqvs metisken, wveri _ naklebisken.

_ CawereT qudebs Soris `>” an `<~ niSani (maswavlebeli amowmebs Sesrulebul davalebas).

_ ricxvi òri~ metia ricxv ,,erTze~.

_ ricxvi èrTi~ naklebia ricxv òrze~.

_ e. i. yoveli ricxvi metia mis win mdgom ricxvebze, yoveli ricxvi naklebia mis momdevno

ricxvebze.

analogiuri samuSao sruldeba naxatze mocemul danarCen sagnebze.


samuSao rveuli

40

gakveTili # 20




saWiro masala: Tabaxis furclebi, flomasterebi an feradi fanqrebi.





gakveTilis msvleloba:maswavlebeli mimarTavs moswavleebs:

_ aiReT erTi wiTeli flomasteri da dadeT merxze.

_ axla aiReT erTi yviTeli flomasteri da gverdiT miudeT wiTels.

_ ramdeni flomasteria Tqven win?

_ aiReT erTi mwvane flomasteri da gverdiT miudeT wiTel da yviTel flomasterebs.

_ axla ramdeni flomasteria TiToeuli Tqvenganis win?

maswavlebeli amagrebs dafaze cifr 3-is nimuSs.

_ es aris cifri 3.

Semdeg aCvenebs dafaze, rogor iwereba cifri 3. gamohyavs TiToeuli moswavle dafasTan da

exmareba cifr 3-is daweraSi.


_ ramdeni Tevzia?

_ ramdeni spiloa?


savarjiSo # 2samuSao sruldeba damoukideblad.

maswavlebeli:

_ SeavseT cxrili naxatis mixedviT.

_ ramdeni goWia?

_ ramdeni saxlia?

_ ramdeni Citia?

_ ramdeni mzea?

_ ramdeni yvavilia?

_ ramdeni skamia?

_ rogor fiqrobT, romeli zRapris gmirebia naxatze?




_ romelia samis wina ricxvi? da a. S.

savarjiSoebis saSualebiT moswavleebi swavloben ricxv samiT saganTa Sesabamisi raodenobis

aRniSvnas, aseve ricxv samis adgils ricxvTa mimdevrobaSi.

wuTSesveneba

41


_ ramdeni feriaa?

_ ramdeni wertilia koWze?

_ ramdeni zardaxSaa?

_ ramdeni didi zardaxSaa?

_ ramdeni patara zardaxSaa?


_ CawereT ujraSi Sesabamisi cifri.

_ ramdeni varskvlavia?

_ ramdeni patara varskvlavia?

_ ramdeni didi varskvlavia?




maswavlebeli:

_ CawereT cariel ujraSi sagnebis raodenobis Sesabamisi ricxvebi.


moswavleebi SeZenil codnas: usabameben raodenobas ricxvs.

samuSao rveuli

gakveTili # 21

gakveTilis Tema: ricxvebi 1, 2, 3.


iyeneben moswavleebi SeZenil codnas, ricxvebs 1, 2, 3-s saganTa Sesabamisi raodenobis aRsaniSnavad.

saWiro dro:1) saxelmZRvaneloze muSaoba _ 25 wT.




saxelmZRvaneloze muSaoba.

savarjiSoebi sruldeba damoukideblad.


_ daakavSireT sagnebi Sesabamisi raodenobis aRmniSvnel ricxvTan.


_ gaamTlianeT wyvetilebi.

_ ra figura miiReT?

maswavlebeli miuTiTebs samkuTxedis wverze da mimarTavs moswavleebs:

_ ramdeni wveri aqvs samkuTxeds?

maswavlebeli miuTiTebs gverdze da mimarTavs moswavleebs:

_ ramdeni gverdi aqvs samkuTxeds?

42


_ CawereT ricxvebi nimuSis mixedviT.

wuTSesveneba


_ CawereT Sesabamisi ricxvebi da SeadareT.


_ ipoveT da gaasworeT Secdoma.


_ CawereT cariel ujrebSi Sesabamisi ricxvebi.


_ SemoxazeT sameulebi.




moswavleebi SeZenil codnas: akavSireben sagnebs Sesabamisi raodenobis aRmniSvnel ricxvebTan,

da piriqiT, akavSireben raodenobis aRmniSvnel ricxvebs Sesabamisi raodenobis sagnebTan,

adareben saganTa raodenobebs, usadageben ricxvebs maT modelebs, pouloben ricxvis adgils

ricxvTa mimdevrobaSi, gamoyofen jgufidan ricxvis Sesabamisi sagnebis raodenobas, adgenen

kanonzomierebas da agrZeleben mimdevrobas.

samuSao rveuli

gakveTili # 22

gakveTilis Tema: ricxvi 4, cifri 4.







gakveTilis msvleloba:maswavlebeli dafaze xatavs 3 vaSls.

_ ramdeni vaSlia daxatuli dafaze?

Semdeg xatavs kidev 1 vaSls.

_ kidev ramdeni vaSli davxate?

_ sami vaSli da kidev erTi vaSli aris oTxi vaSli.

_ 3 vaSls rom 1 vaSli daemata, ramdeni gaxda?

43


_ ramdeni pepelaa?


_ ramdeni yvavilia?


_ daakavSireT naxatebi sagnebis raodenobis aRmniSvnel ricxvebTan.

_ ramdeni kataa daxatuli?

_ romel ricxvTan unda SevaerToT? da a. S.




_ romelia oTxis wina ricxvi? da a. S.

wuTSesveneba


_ ra iqneba Semdeg? daxateT.

_ qoTanSi pirvel dRes erTi yvavili amovida.

_ meore dRes kidev erTi (daxateT).

_ ramdeni yvavilia axla qoTanSi?

_ mesame dRes kidev erTi (daxateT).

_ meoTxe dRes kidev erTi (daxateT)

_ axla ramdeni yvavilia qoTanSi?

savarjiSoebis saSualebiT moswavleebi swavloben ricxv oTxiT Sesabamisi raodenobis

aRniSvnas, ricxv 4-is adgils ricxvTa mimdevrobaSi da aseve rogor xdeba ricxvidan misi

momdevno ricxvis miReba.



_ ra figura miiReT?

maswavlebeli miuTiTebs oTxkuTxedis wverze da mimarTavs moswavleebs:

_ ramdeni wveri aqvs oTxkuTxeds?


_ ramdeni gverdi aqvs oTkuTxeds?


_ SemoxazeT oTx-oTxi Citi.

Semdeg maswavlebeli aCvenebs dafaze, rogor iwereba cifri 4. gamohyavs TiToeuli moswavle

da exmareba cifr oTxis daweraSi.

samuSao rveuli

44

gakveTili # 23

gakveTilis Tema: ricxvebi: 1, 2, 3, 4. cifrebi: 1, 2, 3, 4.

gakveTilis mizani: moswavleebma iswavlon ricxvebis: 1, 2 3, 4-is gamoyeneba saganTa Sesabamisi

raodenobisa da rigSi sagnis adgilis aRsaniSnavad.

saWiro masala: ricxvebiT: 1, 2, 3, 4 danomrili baraTebi.





gakveTilis msvleloba: maswavlebeli saklaso oTaxSi merxebis ukan carciT Semoxazavs 4 . wres da Sesabamisad nomravs:

Semdeg urigebs moswavleebs danomril baraTebs.

maswavlebeli:

_ yvelam moZebnos Tavisi bileTis Sesabamisi vagoni.

maswavlebeli mimarTavs pirvel jgufs:

_ ra ricxvi aweria Tqvens bileTebs?

_ e. i. Tqven pirvel vagonSi imyofebiT.

maswavlebeli mimarTavs meore jgufs:

_ ra ricxvi aweria Tqvens bileTebs?

_ e. i. Tqven meore vagonSi imyofebiT. da a. S. meoTxe vagonamde.

_ Cvens matarebelSi yvelaze win aris ... vagoni, Semdeg ... vagoni da a. S.

savarjiSos saSualebiT moswavleebi iyeneben ricxvebs 1, 2, 3, 4 rigSi sagnis adgilisa da bileTis

nomris aRsaniSnavad. aseve savarjiSo xels uwyobs realur viTarebaSi codnis gamoyenebis unar-

Cvevis gamomuSavebas (bileTiT moZebnos Sesabamisi adgili).


_ niam mindorSi yvavilebis dakrefa gadawyvita.

_ ramdeni wiTeli yvavili aqvs nias? (naxati 1)


_ ramdeni lurji yvavili aqvs nias? (naxati 2)

_ sul ramdeni yvavili aqvs nias?


_ ramdeni yviTeli yvavili aqvs nias? (naxati 3)

_ sul ramdeni yvavili aqvs nias?


_ ramdeni TeTri yvavili aqvs nias? (naxati 4)

_ axla ramdeni yvavili aqvs nias?


savarjiSos saSualebiT moswavleebi igeben, rom ori sagani miiReba erT saganze erTi sagnis

damatebiT, sami sagani miiReba or saganze erTi sagnis damatebiT, oTxi sagani _ sam saganze erTi sagnis

damatebiT.

1 2 3 4

45


_ SeadareT dawyvilebiT.

wuTSesveneba


_ SeavseT kalaTSi vaSlebi ujraSi miTiTebuli ricxvis Sesabamisad.

_ SeadareT kalaTebSi vaSlebis raodenoba erTmaneTs.

_ ori metia Tu sami?

_ sami metia Tu oTxi?

_ oTxi metia Tu ori?

_ gadaxazeT zedmeti (vaSli) vaSlebi ise, rom miiRoT ujrebSi miTiTebuli raodenoba.


_ CaxateT sagnebi nimuSis mixedviT:


_ SemoxazeT grovebi nimuSis mixedviT.

savarjiSoebis saSualebiT moswavleebi swavloben ricxvebis 1, 2, 3, 4-is gamoyenebas saganTa

Sesabamisi raodenobis aRsaniSnavad.

samuSao rveuli

gakveTili # 24



aRsaniSnavad. cifri 5-is wera.

saWiro masala: webo, patara zomis misawebebeli furclebi, romlebzec saTiTaod 5 cali yvavili

xatia (1 _ wiTeli, 1 _ yviTeli, 1 _ lurji, 1 _ mwvane, 1 _ iisferi).

5 varskvlavi (4 _ lurji, 1 _ wiTeli).

5 oTxkuTxedi (3 _ yviTeli, 2 _ mwvane).

5 wre (3 _ lurji, 1 _ mwvane, 1 _ wiTeli).

5 samkuTxedi (2 _ yviTeli, 1 _ mwvane, 1 _ lurji, 1 _ wiTeli).

qaRaldis formati: romelic xazebiT gayofilia 5 nawilad da yvela nawils zed kuTxeSi

daxatuli aqvs aRmniSvneli niSani.

maswavlebeli uTanxmdeba Sromis maswavlebels da gakveTilisTvis saWiro masalas moswavleebi

Sromis gakveTilze xataven.





46

gakveTilis msvleloba:maswavlebeli akravs dafaze gamzadebul qaRaldis formats da urigebs moswavleebs maT

mier Sesrulebul naxatebs.

maswavlebeli:

_ aswios xeli, visac yvavili aqvs.

_ saTiTaod gamodiT da miakariT Tqveni yvavilebi formatze yvavilis qveS. maswavlebeli

jgufs ayenebs miTiTebul adgilas da ekiTxeba:

_ ramdeni wiTeli yvavilia?

_ ramdeni yviTeli yvavilia?

_ ramdeni lurji yvavilia?

_ ramdeni mwvane yvavilia?

_ ramdeni iisferi yvavilia?

_ sul ramdeni yvavilia?

Semdeg moswavleebi ubrundebian TavianT adgilebs.

_ aswios xeli, visac varskvlavi aqvs.

_ saTiTaod gamodiT da miakariT Tqveni varskvlavebi formatze varskvlavis qveS.

_ ramdeni lurji varskvlavia?

_ ramdeni yviTeli varskvlavia?

_ sul ramdeni varskvlavia?


_ aswios xeli, visac oTxkuTxedebi aqvs.

_ saTiTaod gamodiT da miakariT Tqveni oTxkuTxedebi formatze oTxkuTxedis qveS.

_ ramdeni yviTeli oTxkuTxedia?

_ ramdeni mwvane oTxkuTxedia?

_ sul ramdeni oTxkuTxedia?


_ aswios xeli, visac wreebi aqvs. saTiTaod gamodis da miakariT Tqveni wreebi formatze

rgolis qveS.

_ ramdeni lurji wrea?

_ ramdeni mwvane wrea?

_ ramdeni wiTeli wrea?

_ sul ramdeni wrea?

_ aswios xeli, visac samkuTxedebi aqvs. saTiTaod gamodiT da miakariT Tvqeni samkuTxedebi

formatze samkuTxedis qveS.

_ ramdeni yviTeli samkuTxedebia?

_ ramdeni mwvane samkuTxedia?

_ ramdeni lurji samkuTxedia?

_ ramdeni wiTeli samkuTxedia?

_ sul ramdeni samkuTxedia?


moswavleebis mier Sesrulebuli plakati xels uwyobs ricxv 5-is Seswavlas.


_ ramdeni TviTmfrinavia?



_ ramdeni Tojina aqvs nias TiToeul naxatze?

_ nias hqonda erTi Tojina. giam dabadebis dReze aCuqa erTi Tojina.

_ axla ramdeni Tojina aqvs nias?

_ dedamac saCuqrad Tojina moutana.


_ mamam nias kidev erTi Tojina moutana saCuqrad.

47


_ megobarmac Tojina moutana nias saCuqrad.


savarjiSos saSualebiT moswavleebi TvalnaTliv xedaven, rom yoveli momdevno ricxvis

miReba xdeba wina ricxvis Sesabamisi raodenobis sagnebze erTi sagnis damatebiT.






_ romelia xuTis wina ricxvi? da a. S.

wuTSesveneba


_ CawereT cariel ujrebSi ricxvebi nimuSis mixedviT.

_ ras aRniSnavs pirvel ujraSi Cawerili ricxvi 1?

_ didi gitarebis raodenobas.

_ ras aRniSnavs meore ujraSi Cawerili ricxvi 4?

_ patara gitarebis raodenobas.

_ ras aRniSnavs mesame ujraSi Cawerili ricxvi 5?

_ gitarebis saerTo raodenobas da a. S.

savarjiSos saSualebiT moswavleebi xedaven ricxv 5-is Sedgenilobas. savarjiSo aseve

amzadebs moswavleebs ricxvebze Sesabamisi moqmedebebis Sesasrulebis Sesaswavlad.



_ es xuTkuTxedia.

maswavlebeli miuTiTebs xuTkuTxedis wverze da mimarTavs moswavleebs:

_ ramdeni wveri aqvs xuTkuTxeds?


_ ramdeni gverdi aqvs xuTkuTxeds?


_SemoxazeT xuTi erTnairi sagani.

Semdeg moswavleebi asruleben savarjiSos wignSi miTiTebuli nimuSis mixedviT.

samuSao rveuli

gakveTili # 25

gakveTilis Tema: ricxvebi: 1, 2, 3, 4, 5.


iyeneben moswavleebi SeZenil codnas. saazrovno unar-Cvevebis gamomuSaveba.

saWiro masala: didi baraTebi cifrebiT 1, 2, 3, 4, 5. patara baraTebi cifrebiT 1, 2, 3, 4, 5 (5 kompleqti).

48





gakveTilis msvleloba: maswavlebeli moswavleebs xuTbavSvian jgufebad yofs. nomravs jgufebs: pirvel jgufTan

debs baraTs 1, meoresTan _ 2-s da a. S. urigebs TiToeul jgufs patara zomis baraTebs cifrebiT

1, 2, 3, 4, 5. TiTo moswavle TiTo baraTs iRebs. maswavlebeli dafas xuT nawilad yofs da nomravs.

maswavlebeli:

_ movawyoT Sejibri. romeli jgufic yvelaze swrafad gamcems pasuxs (baraTis aweviT) Seki-

Txvebze, is iqneba gamarjvebuli.

_ romelia meti, 5 Tu 4?

pasuxad moswavleebma unda aswion cifri 5. maswavlebeli dafaze Camousvams xazs im jgufis

grafaSi, romelmac yvelaze swrafad gasca pasuxi.

_ 1 da 1 erTad ramdenia?

_ romelia naklebi, 1 Tu 2? da a. S.

maswavlebeli svams yvela SesaZlo msgavs SekiTxvas. gamarjvebulad CaiTvleba is jgufi,

romelis grafaSi yvelaze meti xazi iqneba.

savarjiSos saSualebiT xdeba Seswavlili masalis gameoreba.


savarjiSo #1maswavlebeli:

_ CawereT cariel ujrebSi sagnebis raodenobis aRmniSvneli ricxvebi.





wuTSesveneba




_ SeadareT.

savarjiSoebis saSualebiT maswavlebeli amowmebs, ramdenad sworad iyeneben moswavleebi

Seswavlil ricxvebs saganTa Sesabamisi raodenobis aRsaniSnavad.

49

gakveTili # 26


gakveTilis mizani: moswavlem iswavlos ricxv 6-is gamoyeneba saganTa Sesabamisi raodenobis


saWiro masala: saTvleli Cxirebi.





gakveTilis msvleleloba:maswavlebeli:

_ aiReT 1 Cxiri da dadeT merxze.

_ axla daamateT kidev 1 Cxiri.

_ ramdeni Cxiria merxze?

_ daamateT kidev 1 Cxiri.

_ ramdeni Cxiria axla? da a. S. (xuTamde).

_ xuT Cxirs davamatoT kidev 1 Cxiri.

_ ramdenia?

_ e. i. 5 Cxiri da 1 Cxiri aris 6 Cxiri.




_ ramdeni yvavilia?


_ aRwereT suraTi.

_ ramdeni biWia?

_ ramdeni gogonaa?

_ sul ramdeni bavSvia? da a. S.

Semdeg maswavlebeli dafaze aCvenebs moswavleebs, rogor iwereba cifri 6. saTiTaod

gamohyavs yvela moswavle dafasTan da exmareba cifr 6-is weraSi.


_ daawereT CanTas Sesabamisi ricxvi.

_ ra ricxvi daawereT?

_ ratom?

_ e. i. 5-is momdevno ricxvi aris 6. 6-is wina ricxvi aris 5.


_ daawereT maisurs Sesabamisi ricxvi.

_ ra ricxvi daawereT?

_ ratom?

_ e. i. 5 ricxvTa mwkrivSi 4-sa da 6-s Soris mdebareobs.

50

_ am SemTxvevaSi dawerili ricxvi aRniSnavs ara marto maisurebis raodenobas, aramed rigSi

maisuris adgils (nomeri, Wde).

wuTSesveneba



_ es eqvskuTxedia.

maswavlebeli miuTiTebs eqvskuTxedis wverze da mimarTavs moswavleebs:

_ ramdeni wveri aqvs eqvskuTxeds?

maswavlebeli miuTiTebs eqvskuTxedis gverdze da mimarTavs moswavleebs:

_ ramdeni gverdi aqvs eqvskuTxeds?


_ SemoxazeT eqvseulebi.

_ SemoxazeT xuTeulebi.

Semdeg moswavleebi wignSi miTiTebuli nimuSis mixedviT weren cifr 6-s.

samuSao rveuli

gakveTili # 27

gakveTilis Tema: ricxvebi: 1, 2, 3, 4, 5, 6.


iyeneben moswavleebi SeZenil codnas: ricxvebs: 1, 2, 3, 4, 5, 6 saganTa Sesabamisi raodenobis

aRsaniSnavad. saazrovno unar-Cvevebis gamomuSaveba.

saWiro masala: baraTebi ricxvebiT: 1, 2, 3, 4, 5, 6.





gakveTilis msvleloba:maswavlebeli urigebs moswavleebs danomril 6 baraTs (1, 2, 3, 4, 5, 6).

maswavlebeli:

_ erT mSvenier dilas giam da niam tyeSi gadawyvites gaseirneba sokoebis dasakrefad.

bavSvebma xis Ziras amosuli soko dainaxes. (maswavlebeli dafaze xatavs sokos).

_ ramdeni sokoa xis Ziras?

_ maCveneT, (moswavleebi zemoT sweven baraTs Sesabamisi cifriT).

Semdeg maswavlebeli kidev erT sokos xatavs.

_ axla ramdeni sokoa?

maswavlebeli agrZelebs sokoebis xatvas, vidre sokoebis ricxvi 6 ar gaxdeba, yoveli sokos

damatebisas mimarTavs moswavleebs:

_ ramdeni sokoa?

savarjiSos saSualebiT moswavle gaiazrebs, rogor miiReba mimdevrobaSi yoveli momdevno

ricxvi da rogor aRiniSneba es ricxvi.

Semdeg maswavlebeli ajgufebs moswavleebs:

I jgufi _ 6 moswavle

51

II jgufi _ 5 moswavle

III jgufi _ 4 moswavle

IV jgufi _ 3 moswavle

V jgufi _ 2 moswavle

VI jgufi _ 1 moswavle

maswavlebeli:

_ ramdeni bavSvia pirvel jgufSi?

_ maCveneT, (moswavleebi maRla sweven baraTs Sesabamisi cifriT).

_ ramdeni bavSvia meore jgufSi? da a.S.

_ I jgufSi eqvsi bavSvia, II-Si _ xuTi.

_ romel jgufSi ufro meti bavSvia?

_ II jgufSi xuTi bavSvia, III-Si _ oTxi da a.S.

savarjiSos saSualebiT xdeba 1-dan 6-mde ricxvebis gamoyeneba rigobiTobis aRsaniSnavad. xdeba

momdevno ricxvis Sedareba wina ricxvTan da dadgena, rom yoveli momdevno ricxvi winaze metia.

moswavleebi ubrundebian TavianT adgilebs.

maswavlebeli sTxovs moswavleebs, daalagon ricxvebi merxze mimdevrobiT (wyvilSi).

maswavlebeli:

_ romeli ricxvia 2-is win?

_ romeli ricxvia 2-is Semdeg?


_ romeli ricxvia 3-is Semdeg? da a. S.



_ SemoxazeT sagnebis raodenobis Sesabamisi ricxvi.




_ SeadareT dawyvilebiT.

wuTSesveneba


_ SemoxazeT miTiTebuli ricxvis Sesabamisi raodenobis sagnebi.


_ CawereT Sesabamisi ricxvebi.

savarjiSoebis saSualebiT maswavlebeli amowmebs, ramdenad sworad iyeneben moswavleebi

Seswavlil ricxvebs saganTa Sesabamisi raodenobis aRsaniSnavad, adareben saganTa grovebs

erTmaneTs, gansazRvraven ricxvis adgils mimdevrobaSi, gamoyofen miTiTebuli ricxvis Sesa-

bamis raodenobas grovidan.

Semdeg moswavleebi wignSi mocemuli nimuSis mixedviT gamoweren cifrebs: 1, 2, 3 ,4 ,5, 6.

52

gakveTili # 28

gakveTilis Tema: ricxvi 7, cifri 7.



saWiro masala: baraTebi cifrebiT: 1, 2, 3, 4, 5, 6, 7.





gakveTilis msvleloba:maswavlebeli moswavleebs urigebs baraTebs ricxvebiT.

maswavlebeli:

_ bavSvebma gadawyvites, erTad wasuliyvnen cirkSi. cirkTan yvelaze axlos nia cxovrobs,

amitom yvela niasTan unda Seikribos (maswavlebeli asaxelebs moswavleebis saxelebs). yvelaze

Sors gia cxovrobs. giam gauara daTos (dasaxelebuli bavSvi gamodis dafasTan).

_ ramdeni bavSvia dafasTan?

_ maCveneT.

pasuxad danarCenma moswavleebma unda aCvenon Sesabamisi ricxviani baraTi.

_ Semdeg orivem gauara ninos.

_ ramdeni bavSvi iyo ninosTan misvlamde?

_ axla ramdeni bavSvia?

_ rogor gaxda sami bavSvi?

_ giam, daTom da ninom gauares anas.

_ ramdeni bavSvi iyo anasTan misvlamde?

_ axla ramdenia?

_ rogor gaxda oTxi bavSvi?

_ Semdeg oTxivem gauara sandros.

_ ramdeni bavSvi iyo sandrosTan misvlamde?

_ axla ramdenia?

_ rogor gaxda xuTi bavSvi? da a. S.

_ bolos yvela mivida niasTan.

Svidi bavSvi Camwkrivebuli dgas dafasTan.

_ ramdeni bavSvi midis cirkSi?

_ vin gamovida saxlidan pirveli? vin gamovida meore? da a. S.

savarjiSos saSualebiT moswavleebi bavSvebis raodenobas Sesabamisi ricxviT aRniSnaven.

kidev erTxel xedaven, rom yoveli momdevno ricxvi miiReba wina ricxviT aRniSnul saganTa

raodenobaze erT sagnis damatebiT.


_ ramdeni jujaa?

_ ramdeni wertilia dominos koWze?


_ CawereT ricxvebi nimuSis mixedviT.

_ ramdeni buStia pirvel naxatze?

53

_ ra ricxvi weria ujraSi?

_ ramdeni buStia meore naxatze?

_ ra ricxvi weria ujraSi?

_ ori metia Tu erTi?

_ ramdeni buStia mesame naxatze?

_ ra cifri weria ujraSi?

_ sami metia/naklebia Tu ori? da a. S.





wuTSesveneba



_ ramdeni ixvis Wukia?

_ ramdeni didi ixvia?

_ sul ramdeni ixvia?

_ CawereT. da a. S.

savarjiSos saSualebiT moswavleebi xedaven ricxv 7-is Sedgenilobas.


_ gaaferadeT miTiTebuli ricxvis Sesabamisi ujrebi.

_ romelia yvelaze maRali sveti? yvelaze dabali?

_ e. i. yvelaze maRalia is sveti, sadac yvelaze meti ujraa, yvelaze dabali ki is sadac naklebi ujraa.

_ simaRle izrdeba ujrebis raodenobis zrdasTan erTad.

Semdeg maswavlebeli aCvenebs, rogor iwereba cifri 7. TiToeuli bavSvi gamodis dafasTan

da maswavleblis daxmarebiT wers Svidianebs.


samuSao rveuli

gakveTili # 29

gakveTilis Tema: ricxvebi: 1, 2, 3, 4, 5, 6, 7.


iyeneben moswavleebi SeZenil codnas, ricxvebs: 1, 2, 3, 4, 5, 6, 7-s saganTa raodenobisa da rigis

aRsaniSnavad. saazrovno da sakomunikacio unar-Cvevebis gamomuSaveba.

saWiro masala: eqvsi baraTi wiTeli cifrebiT: 1, 2, 3. baraTebi nomrebiT: baraTze zemoT weria wiTeli

cifri 1, 2 an 3, qvemoT lurji cifri: 1, 2, 3, 4, 5, 6 da 7 (mag.: 2 _ wiTeli, 5 _ lurji). baraTebi lurji

cifrebiT: 1, 2, 3, 4, 5, 6, 7 (SesaZlebelia, baraTebi moswavleebma daamzadon Sromis gakveTilze).



54



gakveTilis msvleloba:maswavlebeli rva-rva skams sam rigad awyobs:

maswavlebeli pirveli rigis TavSi mdgari skamis sazurgeze awebebs baraTs wiTeli feris nomriT 1,

danarCeni skamebis sazurgeebs rigSi TanmimdevrobiT akravs baraTebs lurji cifrebiT: 1, 2, 3, 4, 5, 6, 7.

meore rigis TavSi mdgari skamis sazurgeze awebebs baraTs wiTeli feris nomriT 2, danarCen

skamebs akravs baraTebs lurji feris cifrebiT. 1, 2, 3, 4, 5, 6, 7. imaves imeorebs mesame rigSic.

Semdeg maswavlebeli moswavleebs urigebs `bileTebs~, romlebzec aRniSnulia matareblis (rigis)

nomeri wiTeli cifriT da skamis nomeri lurji cifriT. sami bileTi danomrilia wiTeli cifrebiT:

1, 2, 3.

maswavlebeli:

_ yuradRebiT daakvirdiT `bileTs~ da SeecadeT ipovoT matarebelSi Tqveni adgili.

_ wiTeli cifri aRniSnavs matareblis nomers, xolo lurji cifri _ adgilis nomers.

_ visac Sexvda baraTi mxolod wiTeli cifriT, is iqneba im matareblis memanqane.

maswavlebeli exmareba moswavleebs adgilebis moZebnaSi.

savarjiSos saSualebiT moswavle swavlobs ricxvebis 1, 2, 3, 4, 5, 6, 7 gamoyenebas sagnis rigis

da nomris aRsaniSnavad.



_ CawereT cariel ujrebSi cxovelebis raodenobis aRmniSvneli ricxvebi.

savarjiSos saSualebiT moswavleebi xedaven, rogor miiReba mimdevrobaSi yoveli momdevni

ricxvi.

wuTSesveneba


_ daamateT kalaTSi vaSlebi miTiTebuli ricxvis Sesabamisad.

_ gadaxazeT zedmeti vaSlebi.



savarjiSoebs saSualebiT maswavlebeli amowmebs da afasebs, ramdenad sworad iyeneben moswavleebi

SeZenil codnas: ricxvebs 1, 2, 3, 4, 5, 6, 7-s saganTa Sesabamisi raodenobis aRsaniSnavad, gansazRraven

miTiTebul ricxvamde saWiro damatebiT raodenobas, gansazRraven ricxvis adgils mimdevrobaSi.

Semdeg moswavleebi wignSi mocemuli nimuSis mixedviT weren cifrebs: 1, 2, 3, 4, 5, 6, 7.

samuSao rveuli

wiTeli lurji

55

gakveTili # 30



aRsaniSnavad. iswavlos cifr 8-is wera.

saWiro masala: patara zomis misawebebeli furclebi, romlebzec xatia 8 samkuTxedi (7 wiTeli,

1 lurji), 8 wre (5 mwvane, 3 yviTeli), 8 oTxkuTxedi (4 lurji, 4 mwvane), 8 xuTkuTxedi (2 wiTeli,

6 yviTeli). qaRaldis formati, romelic xazebiT dayofilia sam nawilad da TiToeuli nawilis

zeda kuTxeSi daxatulia aRmniSvneli niSani:

Sromis gakveTilze saWiro masalis Sesabamisad moswavleebi amzadeben naxatebs.





gakveTilis msvleleloba:maswavlebeli akravs dafaze gamzadebuli qaRaldis formats da urigebs moswavleebs maT

mier Sesrulebul naxatebs.

maswavlebeli:

_ aswos xeli, visac samkuTxedi aqvs.

_ saTiTaod gamodiT da miakariT Tqveni samkuTxedebi qaRaldze samkuTxedis qveS.

maswavlebeli ayenebs moswavleebs miTiTebul adgilas da mimarTavs:

_ ramdeni wiTeli samkuTxedia?

_ ramdeni lurji samkuTxedia?


moswavleebi ubrundebian TavianT adgilebs. da a. S.

moswavleebis mier damzadebuli plakati xels uwyobs ricxv 8-is Seswavlas.


_ ramdebi fexi aqvs rvafexas?



_ kruxma wiwilebi unda gamoCekos.

_ daakvirdiT naxatebs:

_ pirvelad ramdeni wiwila gamoCeka?

_ ramdeni mTeli kvercxi darCa?

_ meored ramdeni wiwila gamoCeka?

_ ramdeni wiwila daemata mesame naxtze? da a. S.

_ yvela naxatis gverdze ujraSi CawereT wiwilebis raodenobis Sesabamisi ricxvi.

_ sul ramdeni wiwila hyavs kruxs?

savarjiSos saSualebiT moswavleebi TvalnaTliv xedaven, rom yoveli ricxvi miiReba wina

ricxvis Sesabamisi raodenobis sagnebze erTi sagnis damatebiT. ricxvi rva miiReba Svid saganze

erTi sagnis damatebiT.

Semdeg maswavlebeli dafaze aCvenebs moswavleebs, rogor iwereba cifri 8. saTiTaod ga-

mohyavs yvela moswavle dafasTan da exmareba cifr 8-is daweraSi.

56


_ CawereT ujraSi Svidis momdevno ricxvi.


_ romelia rvis wina ricxvi? da a. S.

wuTSesveneba

savarjiSo # 4 maswavlebeli

_ SemoxazeT rva erTnairi sagani.


_ SeavseT wreebiT saxlis sarTulebi rvamde.


_ ramdeni wre daxateT pirvel sarTulze? da a. S.

_ ra ricxvi CawereT pirvel wreSi? da a. S.


samuSao rveuli

gakveTili # 31

gakveTilis Tema: ricxvebi: 1, 2, 3, 4, 5, 6, 7, 8.


iyeneben moswavleebi SeZenil codnas, ricxvebs: 1, 2, 3, 4, 5, 6, 7, 8-s saganTa raodenobisa da rigis









_ CawereT ujrebSi raodenobis Sesabamisi ricxvebi.

wuTSesveneba


_ daakvirdiT naxatebs, gaixseneT zRapari da ricxvebiT aRniSneT moqmedebaTa Tanmimdevroba.


_ CawereT wreebSi Sesabamisi ricxvebi.

57


_ SemoxazeT rva-rva wiwila.




moswavleebi Seswavlil ricxvebs saganTa Sesabamisi raodenobis aRsaniSnavad, moqmedebaTa Tan-

mimdevrobis aRsaniSnavad, gansazRvraven ricxvis adgils mimdevrobaSi, gamoyofen miTiTebuli

ricxvis Sesabamis raodenobas grovidan, adgenen mimdevrobis kanonzomierebas da agrZelebs.

samuSao rveuli

gakveTili # 32









_ dadeT merxze rva fanqari.

_ axla daumateT kidev erTi fanqari.

_ ramdeni fanqaria?

_ e.i. rva sagani da kidev erTi sagani erTad aris cxra sagani.

_ rva sagani metia/naklebi Tu cxra?

Semdeg maswavlebeli dafaze aCvenebs moswavleebs, rogor iwereba cifri 9. saTiTaod gamoh-

yavs yvela moswavle dafasTan da exmareba cifr 9-is daweraSi.


_ ramdeni Txilia?


_ ramdeni kuburaa?



_ SeadareT didi da patara samkuTxedebis raodenoba.

_ romelia meti/naklebi? da a. S.


_ CawereT wreebSi samkuTxedebis raodenobis Sesabamisi ricxvebi.

58


_ CawereT ujraSi rvis momdevno ricxvi.


_ romelia cxris wina ricxvi? da a. S.

wuTSesveneba


_ SemoxazeT mesame, meeqvse da mecxre manqana.


_ SemoxazeT cxra-cxra sagani.


_ CawereT cariel ujrebSi mZivebis raodenobis Sesabamisi ricxvebi.


savarjiSoebis saSualebiT moswavleebi swavloben ricxv cxris gamoyenebas saganTa Sesabamisi rao-

denobis aRsaniSnavad, mis adgils ricxvTa mimdevrobaSi, saganTa erTobliobidan cxra sagnis gamo-

yofas, ricxvebis gamoyenebas rigSi sagnis adgilis aRsaniSnavad, xedaven ricxv cxris Sedgenilobas.

samuSao rveuli

gakveTili # 33

gakveTilis Tema: ricxvebi: 1, 2, 3, 4, 5, 6, 7, 8, 9.


iyeneben moswavleebi SeZenil codnas, ricxvebs: 1, 2, 3, 4, 5, 6, 7, 8, 9-is saganTa raodenobisa da

rigis aRsaniSnavad. saazrovno unar-Cvevebis gamomuSaveba.

saWiro masala: baraTebi ricxvebiT: 1, 2, 3, 4, 5, 6, 7, 8, 9.





gakveTilis msvleloba:maswavlebeli yofs klass oTx jgufad, urigebs moswavleebs baraTebs ricxvebiT da

sTavazobs TamaSs `gacnoba~.

I jgufi TamaSobs II jgufTan. III jgufi _ IV jgufTan. jgufis TiToeuli wevri warudgeba meore

jgufs rigrigobiT aCvenebs Tavis baraTs ricxviT da sworad asaxelebs Tavis mezobel ricxvebs,

Semdeg unda amoirCios meore jgufidan masze didi (an naklebi) ricxvi, vinc sworad ver

Seasrulebs davalebas, Tavis adgils daubrundeba.

maswavlebeli exmareba moswavleebs.

savarjiSos saSualebiT xdeba Seswavlili masalis gameoreba: ricxvis adgili mimdevrobaSi,

ricxvebis Sedareba.

59



_ gaaferadeT nimuSis mixedviT.



_ SeadareT.




_ SeavseT saganTa raodenoba cxramde.

_ daasaxeleT damatebuli raodenoba.


moswavleeebi Seswavlil ricxvebs saganTa Sesabamisi raodenobis aRsaniSnavad, gansazRvraven

ricxvis adgils mimdevrobaSi, adareben saganTa jgufebs raodenobrivi maxasiaTeblebis mixedviT,.

asaxeleben miTiTebul raodenobamde Sevavsebad saWiro damatebiT raodenobas.

samuSao rveuli

gakveTili # 34



aRsaniSnavad. iswavlos cifr 0-is wera.






gakveTilis msvleloba: maswavlebels gamohyavs cxra moswavle da dafasTan simaRlis mixedviT amwkrivebs. urigebs

baraTebs ricxvebiT: yvelaze dabals aZlevs baraTs erTianiT, Semdegs _ orianiT da a. S. yvelaze

maRals _ baraTs cxrianiT.

maswavlebeli mimarTavs klass:

_ SexedeT Tqvens megobrebs.

_ ra niSnis mixedviT arian dawyobilebi?

_ e. i. isini dawyobilebi arian simaRlis zrdis mixedviT.

_ yvelaze pataras ra ricxvi uWiravs?

_ meores?

_ ori metia/naklebia Tu erTi?

60

_ mesames?

_ sami metia/naklebi Tu ori?

_ sami metia/naklebi Tu erTi? da a. S.

_ e. i. ricxvebi dalagebulia zrdis mixedviT, radgan yoveli momdevno ricxvi wina ricxvze

metia.

_ axla daTvla daviwyoT ricxvi cxridan.

_ yvelaze maRals ra ricxvi uWiravs?

_ momdevnos?

_ rva metia/naklebi Tu cxra?

_ momdevnos?

_ Svidi metia/naklebi Tu rva?

_ Svidi metia/naklebi Tu cxra? da a. S.

_ e. i. am SemTxvevaSi ricxvebi dalagebulia klebis mixedviT, radgan yoveli momdevno ricxvi

naklebia winaze.

savarjiSos saSualebiT moswavleebi swavloben, Tu rogor daalagon ricxvebi zrdis an

klebis mixedviT.

Semdeg maswavlebeli mimarTavs dafasTan mdgom moswavleebs:

_ dajdes is, visac cxriani uWiravs.

_ ramdeni moswavle iyo dafasTan?

_ axla ramdenia?

_ dajdes is, visac rviani uWiravs.

_ ramdeni moswavlea dafasTan?

_ dajdes is, visac Svidiani uWiravs.

_ ramdeni moswavle dgas dafasTan? da a. S.

rodesac yvela moswavle daubrundeba Tavis adgils, maswavlebeli mimarTavs klass:

_ dafasTan arc erTi moswavle aRar dgas.

_ rodesac araferi ar gvaqvs, vwerT ase: 0.

savarjiSo xels uwyobs moswavleebs, daakavSiron ricxvi nuli sagnebis Sesabamis raodenobasTan

(arc erTi sagani).

_ ramdeni dafaa Cvens saklaso oTaxSi?

_ ramdeni fanjaraa?

_ ramdeni televizoria?

_ Cvens saklaso oTaxSi ar aris arc erTi televizori. amitom vityviT, nuli raodenobis

televizori.

Semdeg maswavlebeli aCvenebs moswavleebs, rogor iwereba cifri 0. saTiTaod gamohyavs

yvela moswavle da exmareba cifr 0-is weraSi.


_ waikiTxeT ricxvebi zrdis mixedviT.

_ waikiTxeT ricxvebi klebis mixedviT.



_ aRwereT naxati.

_ ramdeni mtevani yurZeni iyo?

_ ramdeni mtevani yurZeni darCa?


_ CawereT ujrebSi delfinebis raodenobis Sesabamisi ricxvebi. SeadareT.

_ ramdeni delfinia pirvel naxatze?

61


_ ra Seicvala mesame naxatze?

wuTSesveneba


_ CawereT ujrebSi Citebis raodenobis Sesabamisi ricxvebi.

_ ramdeni Citia galiaSi?


_ axla ramdeni Citia galiaSi?

mocemuli savarjiSoebis saSualebiT moswavle swavlobs ricxv nulis gamoyenebas Sesabamisi

raodenobis aRsaniSnavad.


_ gaaferadeT ricxvebis Sesabamisi raodenobis ujrebi.

_ SeadreT ricxvebi erTmaneTs.

_ romelia meti/naklebi: cxra Tu eqvsi? rogor daadgineT?

_ kidev rogor SeiZleba davadginoT?

_ romeli ricxvis Sesabamisi svetia yvelaze maRali? dabali?

_ e. i. gaferadebuli svetebidan maRals Seesabameba ujrebis meti raodenoba, dabals _ naklebi.


_ gaagrZeleT.

_ romelia momdevno figura?


samuSao rveuli

gakveTili # 35

gakveTilis Tema: geometriuli figurebi: samkuTxedi, oTxkuTxedi, xuTkuTxedi, eqvskuTxedi.

gakveTilis mizani: moswavleebma amoicnon brtyeli geometriuli figurebis saxeobebi.

saWiro masala: Tabaxis furclebi.





gakveTilis msvleloba:maswavlebeli urigebs moswavleebs Tabaxis furclebs da mimarTavs klass:

_ daxateT furcelze ori samkuTxedi.

Semdeg mimarTavs klass:

_ daxateT furcelze: sami oTxkuTxedi.

_ romelia meti/naklebi, samkuTxedebi Tu oTxkuTxedebi?

maswavlebeli:

_ daxateT furcelze: ori xuTkuTxedi.

62

_ romelia meti/naklebi: samkuTxedebi Tu xuTkuTxedebi?

_ romelia meti/naklebi: oTxkuTxedebi Tu xuTkuTxedebi?

maswavlebeli:

_ daxateT furcelze erTi eqvskuTxedi.

_ romelia meti/naklebi: xuTkuTxedebi Tu eqvskuTxedi?

_ romelia meti/naklebi: eqvskuTxedi Tu samkuTxedebi?

_ romelia meti/naklebi: oTxkuTxedebi Tu eqvskuTxedebi?

_ SexedeT Tqven mier daxatul figurebs.

_ CamoTvaleT, ra figurebia daxatuli furcelze.

_ ramdeni wveri aqvs samkuTxeds?

_ ramdeni gverdi aqvs samkuTxeds?

_ ramdeni wveri aqvs oTkuTxeds?

_ ramdeni gverdi aqvs oTkuTxeds?

_ ramdeni wveri aqvs xuTkuTxeds?

_ ramdeni gverdi aqvs xuTkuTxeds?

_ ramdeni wveri aqvs eqvskuTxeds?

_ ramdeni gverdi aqvs eqvskuTxeds?

savarjiSo xels uwyobs moswavleebs, amoicnon da daaxasiaTon geometriuli figurebi,

Seusabamon raodenobas ricxvi da Seadaron.


_ CamoTvaleT naxatze daxatuli figurebi.

_ ramdeni wveri da ramdeni gverdi aqvs TiToeul maTgans?



_ ramdeni oTkuTxedia?


_ CawereT ujrebSi sagnebis raodenobis Sesabamisi ricxvebi.

_ SeadareT ricxvebi erTmaneTs.

wuTSesveneba


_ miuwereT gaferadebul ujrebs raodenobis Sesabamisi ricxvebi.




_ gaamTlianeT.

samuSao rveuli

63

gakveTili # 36

gakveTilis Tema: ricxvebi: 1, 2, 3.


iyenebs moswavle SeZenil codnas. saazrovno unar-Cvevebis gamomuSaveba.







_ CawereT wreebSi wertilebis raodenobis Sesabamisi ricxvebi.


_ daakavSireT sagnebi Sesabamisi raodenobis aRmniSvnel ricxvebTan.




wuTSesveneba

savarjiSo #4_ gadaxazeT pirveli da mesame piramida.


_ ferebis mixedviT sagnebi SemoxazeT sameulebad.


_ daexmareT wruwunas yvelTan misvlaSi.


_ gaagrZeleT.


moswavleebi SeZenil codnas: Seusabamon ricxvebi 1, 2, 3 raodenobas da raodenoba ricxvs, Seadaron

ricxvebi erTmaneTs, gamoiyenon ricxvebi rigSi sagnis adgilis aRsaniSnavad, gamoyon saganTa

erTobliobidan miTiTebuli raodenoba, daadginon mimdevrobis kanonzomiereba da gaagrZelon.

samuSao rveuli

64

gakveTili # 37








saxelmZRvaneloze muSaoba:savarjiSoebi sruldeba damoukideblad.


_ CaxateT cariel fanjrebSi imdeni bavSvi, rom orive fanjaraSi erTad miiRoT saxuravze

dawerili ricxvis Sesabamisi raodenoba.


_ daukvirdiT naxats.

_ ras aRniSnavs ujraSi Cawerili ricxvebi? daakavSireT xazebiT.


_ ra saerTo aqvT naxatebs?






_SeadareT.


moswavleebi SeZenil codnas: Seusabamon ricxvebi 4, 5, 6 raodenobas da raodenobas ricxvi,

Seadaron ricxvebi erTmaneTs, gamoiyenon ricxvebi rigSi sagnis adgilis aRsaniSnavad, avseben

saganTa raodenobas miTebul ricxvamde, adgenen miTiTebuli ricxvis Sedgenilobas.

wuTSesveneba

samuSao rveuli

65

gakveTili # 38




saWiro masala: baraTebi ricxvebiT: 1, 2, 3, 4, 5, 6, 7, 8, 9 (kompleqti, kompleqtebis raodenoba

merxebis raodenobis mixedviT).





gakveTilis msvleloba:maswavlebeli urigebs moswavleebs baraTebs ricxvebiT: 1, 2, 3, 4, 5, 6, 7, 8, 9. TiTo merxze debs

TiTo kompleqts. samuSao sruldeba wyvilebSi.

maswavlebeli:

_ daalageT merxze ricxvebi naklebidan metisken (zrdis mixedviT).

_ CamoTvaleT.





_ axla daalageT ricxvebi metidan naklebisken (klebis mixediT).

_ CamoTvaleT.

Semdeg maswavlebels gamohyavs dafasTan Svidi moswavle, urigebs baraTebs ricxvebiT: 1, 2,

4, 5, 6, 7 da mimarTavs moswavleebs:

_ daewyveT ricxvebis zrdis mixedviT.

meSvide moswavles aZlevs baraTs ricxviT `3~ da mimarTavs:

_ moZebne rigSi Seni adgili.

_ e. i. ricxvi sami unda idges orsa da oTxs Soris.

_ kidev rogor SegviZlia vipovoT ricxv samis adgili rigSi?

_ Tu gadavTvliT zrdis mixedviT dalagebul ricxvebs, ricxv sams rigSi mesame adgili ukavia.

_ axla daviTvaloT ricxvebi marjvnidan marcxniv (klebis mixedviT).

_ ricxvi sami meramdenea?

_ e. i. Tu gadaTvlas daviwyebT didi ricxvidan naklebi ricxvisaken, ricxvi sami iqneba rigSi mexuTe.

_ e. i. Tu gvinda vipovoT rigSi ricxvis adgili, gadaTvla unda daviwyoT erTidan ricxvebis

zrdis mimarTulebiT (mag., ase SegviZlia vipovoT Tojinebis TeatrSi Cveni adgili).

savarjiSo xels uwyobs moswavleebs Seswavlili masalis gameorebaSi.




wuTSesveneba


_ daawereT nias bileTs Sesabamisi ricxvi.

66




_ CaxateT cariel adgilas Sesabamisi droSa.


moswavleebi SeZenil codnas: Seusabamon ricxvebi 7, 8, 9 raodenobas da raodenobas ricxvi,

gamoiyenon ricxvebi rigSi sagnis adgilis aRsaniSnavad, saganTa mowesrigebul erTobliobaSi

asaxeleben miTiTebuli sagnis rigs. mocemuli TanmimdevrobiT avseben Ria pozicias.

samuSao rveuli

* * *

meore TavSi ganxiluli masalis Seswavlis Sedegad moswavles SeuZlia erTniSna ricxvebis

farglebSi:

• sagnebze moqmedebebis saSualebiT imis gansazRvra, rom yoveli momdevno ricxvi miiReba wina

ricxvze erTis damatebiT.

• erTniSna ricxvebis Sedareba, `<~ da `>~ niSnebis sworad gamoyeneba.

• dadgena, rom yoveli momdevno ricxvi wina ricxvze metia.

• ricxvebis dalageba zrdis an klebis mixedviT.

• mocemuli ricxvis Sesabamisi raodenobis saganTa jgufis Seqmna da saganTa jgufis rao-

denobasTan Sesabamisi ricxvebis misadageba.

• mocemuli ricxvis wina da momdevno ricxvis dasaxeleba, ricxvis wakiTxva da maTi gamosaxva

modelis saSualebiT.

• nulis da misi aRmniSvneli simbolos sworad gamoyeneba.

• saganTa erTobliobaSi miTiTebuli ricxvis Sesabamisi raodenobis jgufebis gamoyofa.

• saganTa mowesrigebul erTobliobaSi sagnis rigis dasaxeleba da rigSi sagnis adgilis

gansazRvra.

• rigobiTi ricxviTi saxelebis gamoyeneba movlenaTa an moqmedebaTa Tanmimdevrobis aRwerisas.

• saganTa raodenobis Sevseba miTiTebul ricxvamde.

• dasaxelebuli brtyeli geometriuli figuris amocnoba.

• nimuSze mocemuli gamosaxulebis misaRebad brtyeli figurebis modelebis erTmaneTTan

SeTavseba.

• mimdevrobis mocemuli fragmentis mixedviT am mimdevrobis ramdenime Tanmimdevruli Ria

poziciis Sevseba.

• erTnairi sagnebiT warmodgenili ori mimdevrobis Sedareba.

• mocemuli wesis mixedviT, erTi niSniT gansxvavebuli sagnebis ganlageba.

gakveTilebze Catarebuli individualuri, wyvilSi da jgufuri savarjiSoebi safuZvels uyris

saazrovno (Sedareba, Sefaseba, problemis gadaWra, dakvirveba, modelireba), sakomunikacio (sxvisi

azris mosmena, azris gamoTqma, daskvnis gakeTeba), sasicocxlo (Seswavlili cnebebis gamoyeneba,

TanamSromloba) unar-Cvevebis gamomuSavebas.

67

III Tavis Sinaarsi

1. erTniSna ricxvebis Sekreba.

2. erTniSna ricxvebis gamokleba.

3. ramdeniT gaizarda? ramdeniT Semcirda?

4. ramdeniT meti? ramdeniT naklebi?



am TavSi warmodgenili gakveTilebis mizania, ganumartos moswavles moqmedebebis: Sekrebisa da

gamoklebis arsi.

moqmedeba Sekrebis ganmarteba xdeba sagnebis ori raodenobis gaerTianebis safuZvelze. gakveTilis

msvlelobisas moswavle TviTon axorcielebs am process. Semdeg xdeba moqmedebis da misi Sedegis Cawera ricxvebisa

da moqmedebis niSnebis saSualebiT. analogiurad warmoebs moqmedeba gamoklebis Cveneba.

moswavle aseve sagnebis saSualebiT ecnoba Sekrebis Tvisebebs (gadanacvlebadobis kanoni), ecnoba

Sekrebis, gamoklebisa da tolobis niSnebs. swavlobs maT sworad gamoyenebas.

ricxvebis Sedgenilobis saCveneblad mocemulia savarjiSoebi, romelTa Sesrulebisas moswavlem unda

gamoiyenos adre Seswavlili masala (saganTa Sedareba da gaerTianeba jgufSi romelime erTi niSnis mixedviT).

moswavle ecnoba da TandaTanobiT swavlobs, rogor daakavSiros Sekreba-gamoklebis moqmedeba SedegTan

(mimatebisas raodenoba izrdeba, gamoklebisas mcirdeba), Sekreba-gamoklebis moqmedebis Sesrulebisas rogor

gansazRvros gansxvaveba (ramdeniT gaizarda/Semcrda?), rogor daakavSiros ̀ -iT~ metoba/ nakleboba Sekreba/

gamoklebis moqmedebebTan. swavlobs Sekreba-gamoklebis urTierTSebrunebulobas.

tolobebis Cawera Tavdapirvelad Tabaxis furclebze xdeba, rac moswavlisaTvis bevrad ufrro

advilia, vidre ujredebian rveulSi Cawera. meoTxe gakveTilidan moswavle Cveulebriv rveulSi iwyebs

weras (Tumca maswavlebels SeuZlia rveulSi savarjiSoebis wera pirveli dRidan daiwyos).

samuSao rveulSi mocemuli savarjiSoebi maswavlebels SeuZlia gamoiyenos Tavisi Sexedulebisamebr

iwyebs, rogorc klasSi samuSaod, ise saSinao davalebebisaTvis.

39.

40.

41.

42_43

44_45.

46_47.

48

49_50.

51_52

53_54

55

56.

57.

58.

59_60.

61_62.

63_64.

65_66.

67_68.

69_70.

71_72.

73_74.

75_76.

77_78.

79_80.

81_82.

83_84.

Temis dasaxeleba sT.

erTniSna ricxvebis Sekreba






figurebis modelebis awyoba




erTniSna ricxvebis Sekreba (Sekrebis Tviseba)

erTniSna ricxvebis Sekreba (gameoreba)

erTniSna ricxvebis Sekreba (gameoreba)

erTniSna ricxvebis gamokleba






erTniSna ricxvebis gamokleba (gameoreba)

erTniSna ricxvebis gamokleba (gameoreba)

ramdeniT gaizarda/Semcirda?

ramdeniT gaizarda/Semcirda?

ramdeniT meti/naklebi?

ramdeniT meti/naklebi?

erTniSna ricxvebis Sekreba-gamokleba (gameoreba)

erTniSna ricxvebis Sekreba-gamokleba (gameoreba)

sarezervo dro

1

1

1

2

2

2

1

2

2

2

1

1

1

1

2

2

2

2

2

2

2

2

2

2

2

2

2

2

#

68

gakveTilis Tema: erTniSna ricxvebis Sekreba.

gakveTilis mizani: moswavleebi gaecnon, rogor Seasrulob moqmedeba Sekreba 5-is farglebSi,

ricxvi 1-is damatebiT. saazrovno unar-Cvevebis gamomuSaveba.

saWiro masala: lurji da wiTeli saTvleli Cxirebi, muyaos kolofebi (merxebis raodenobis

mixedviT).





gakveTilis msvleloba:maswavlebeli TiTo merxze TiTo muyaos kolofs debs da klass mimarTavs:

_ marjvniv msxdomma moswavleebma merxze 3 wiTeli Cxiri dadeT, marcxniv msxdomebma ki _ 3

lurji Cxiri.

_ aiReT 1 lurji da 1 wiTeli Cxiri da CadeT kolofSi.

_ ramdeni Cxiria kolofSi?

_ e. i. erTi lurji da erTi wiTeli Cxiri erTad aris ori Cxiri.

_ CadeT kolofSi kidev 1 lurji Cxiri.

_ ramdeni lurji Cxiria kolofSi?

_ ramdeni wiTeli?

_ sul ramdeni Cxiria?

_ e. i. ori lurji da erTi wiTeli Cxiri erTad aris sami Cxiri. da a.S.

maswavlebeli xuTis farglebSi cvlis lurji da wiTeli Cxirebis raodenobas da maTi

gaerTianebiT acnobs moswavleebs Sekrebis moqmedebas.



_ ras aRniSnavs ujrebSi Cawerili ricxvebi?

_ e.i. erTi didi da erTi patara samkuTxedi erTad aris ori samkuTxedi da a. S.

wuTSesveneba

saswavlomiznebi


droisganawileba

resursebi Semowmeba

moswavleebi

gaecnon, rogor

Seasrulon

moqmedeba Sekreba

5-is farglebSi,

ricxv 1-is da-

matebiT.

saazrovno unar-

Cvevebis

gamomuSaveba.

wyvilSi

individualuri

1) 10 wT.

2) 15 wT.

3) 5 wT.

wuTSesveneba 3 wT.

lurji da

wiTeli

saTvleli

Cxirebi,

muyaos

kolofebi

(merxebis

raodenobis

mixedviT).

savarjiSo

# 3


1) aqtiuri

savarjiSo.

2) saxelmZRva-

neloze

muSaoba

3) samuSao

rveuli

gakveTili # 39

69



_ ramdeni vaSlia kalaTSi pirvel naxatze?

_ niam kidev erTi vaSli Cado.

_ ramdeni vaSlia axla kalaTSi?

_ ratom?

_ e. i. erTi da erTi erTad aris ori da a. S.


_ daakvirdiT naxatebs, ujraSi Cawerili ricxvi gviCvenebs, sul ramdeni msxalia.

_ CaxateT kalaTSi imdeni msxali, rom miiRoT msxlebis saerTo raodenoba ujraSi Cawerili

ricxvis Sesabamisad.

_ ramdeni msxalia kalaTSi?

mocemuli savarjiSoebis mizania moswavleebi sagnebze manipulaciebiT gaecnon Sekrebis

moqmedebas.

samuSao rveuli

gakveTili # 40


gakveTilis mizani: moswavleebma iswavlon moqmedeba Sekrebis Cawera 5-is farglebSi. saazrovno

unar-Cvevebis gamomuSaveba.

saWiro masala: wiTeli da lurji saTvleli Cxirebi, muyaos kolofebi (merxebis raodenobis

mixedviT), Tabaxis furclebi.





gakveTilis msvleloba:maswavlebeli TiTo merxze TiTo muyaos kolofsdebs da mimarTavs klass:

_ marjvniv msxdomma moswavleebma merxze 3 wiTeli Cxiri dadeT, marcxniv msxdomebma ki _ 3

lurji Cxiri.

_ aiReT 1 lurji da 1 wiTeli Cxiri da CadeT kolofSi.


_ e. i. erTi lurji da erTi wiTeli Cxiri erTad ori Cxiri.

_ CavweroT es moqmedeba ricxvebisa da moqmedebis niSnebis saSualebiT.

maswavlebeli wers dafaze: 1+1=2Semdeg miuTiTebs pirvel erTianze:

_ es erTi lurji Cxiria.

meore erTianze:

_ es ki _ erTi wiTeli Cxiri.

Sekrebis niSanze:

_ es aris Sekrebis niSani.

miuTiTebs orianze:

_ erTad gvaqvs ori Cxiri.

tolobis niSanze:

70

_ es tolobis niSania. mTlianad am Canawers hqvia toloba.

moswavleebi weren tolobas Tabaxis furclebze da a. S.

savarjiSoebis saSualebiT moswavleebi swavloben sagnebze moqmedebis dakavSirebas ricxveb-

Tan da niSnebTan da Sesabamisi tolobebis Caweras.

wuTSesveneba


_ gamoiangariSeT.

_ ra aris pirveli savarjiSos pasuxi? da a. S.


_ SeadareT.


_ ra niSnis mixedviTaa buStebi ganawilebuli?


_ gaagrZeleT.

samuSao rveuli

gakveTili # 41


gakveTilis mizani: moswavlem iswavlos, rogor Seasrulos erTniSna ricxvebis Sekreba 5-is

farglebSi. saazrovno da sakomunikacio unar-Cvevebis gamomuSaveba.





gakveTilis msvleloba:maswavlebeli yofs klass oTxmoswavlian jgufebad, urigebs jgufebs Tabaxis furclebs,

sadac weria:

4 + [] = 5 3 + [] = 4 2 + [] = 3

1 + [] = 2 [] + 3 = 4 [] + 4 = 5

da mimarTavs jgufebs:

_ moifiqreT da CawereT cariel ujrebSi Sesabamisi ricxvebi.

samuSaos damTavrebis Semdeg TiToeuli jgufi waradgens Tavis namuSevars.

maswavlebeli exmareba moswavleebs dasabuTebaSi, Tu ratom Caweres ujraSi konkretuli ricxvi.

samuSao xels uwyobs saazrovno (problemis gadaWra, Sesabamisi ariTmetikuli moqmedebis

Sesruleba), sasicocxlo (TanamSromloba), sakomunikacio (prezentacia, mosmena, argumentacia)

unar-Cvevebis gamomuSavebas.

71


_ yuTze dawerili ricxvi aRniSnavs yuTSi moTavsebuli burTebis raodenobas.

_ CawereT Sesabamisi tolobebi.

_ waikiTxeT Cawerili tolobebi.


_ CawereT Sesabamisi tolobebi nimuSis mixedviT.





wuTSesveneba

samuSao rveuli

gakveTili # 42_43



iyeneben moswavleebi SeZenil codnas, saazrovno unar-Cvevebis gamomuSaveba.





gakveTilis msvleloba:gakveTili iwyeba Seswavlili masalis gameorebiT.

maswavlebeli sTavazobs moswavleebs TamaSs `gaagrZele Tvla~. erTi moswavle iwyebs Tvlas:

_ erTi.

_ ori, _ ambobs meore

_ sami, _ ambobs mesame da a. S. cxramde.

Semdeg iTvlian piriqiT, cxridan erTamde.

maswavlebeli sTavazobs TamaSis variantebs: moswavleebi Tvlas iwyeben sxvadasxva ricxvidan.

mawavlebeli:

_ romelia meti/naklebi: sami Tu xuTi?

_ romelia meti/naklebi: xuTi Tu eqvsi?

_ romelia meti/naklebi: ori Tu xuTi? da a. S.

_ rogor gavunawiloT ori vaSli or bavSvs?

_ rogor gavunawiloT oTxi vaSli or bavSvs?

Semdeg maswavlebels gamohyavs dafasTan erTi moswavle da mimarTavs klass:

_ Cveni matarebeli jerjerobiT mxolod erTi vagonisagan Sedgeba, mas kidev sWirdeba vagonebi.

gamohyavs kidev erTi moswavle.

_ axla ramdeni vagonisagan Sedgeba Cveni matarebeli?

_ rogor miviReT ori vagoni?

_ CawereT Sesabamisi toloba.

_ sityvierad aRvweroT moqmedeba.

72

maswavlebels dafasTan kidev ori moswavle gamohyavs.

_ ramdeni vagoni daemata Cvens matarebels?

_ axla ramdeni vagonia?

_ CavweroT.


dafasTan kidev erTi moswavle gamodis.

_ axla ramdeni vagoni daemata Cvens matarebels?

_ sul ramdeni vagonia?

_ CavweroT.


savarjiSos sxva variantebs moswavleebi Semdeg gakveTilze gaakeTeben.






wuTSesveneba

samuSao rveuli




_ CaxateT cariel ujraSi Sesabamisi naxati.

wuTSesveneba

samuSao rveuli


moswavleebi SeZenil codnas: usabameben raodenobas ricxvs da adgenen tolobebs, sworad asru-

leben ariTmetikul moqmedebas, saganTa mowesrigebul erTobliobaSi asaxeleben miTiTebuli

sagnis rigs, mocemuli TanmimdevrobiT avseben Ria pozicias.

gakveTili # 44_45



iyeneben moswavleebi SeZenil codnas, saazrovno unar-Cvevebis gamomuSaveba.

saWiro masala: baraTebi ricxvebiT: 1, 2, 3, 4, 5, 6, 7, 8, 9 (3 kompleqti).


73




gakveTilis msvleloba:maswavlebeli yofs dafas sam nawilad, samive rigis pirvel merxze awyobs gadmobrunebul

baraTebs ricxvebiT (TiTo kompleqts). ise, rom bavSvebma maTze dawerili ricxvebi ver dainaxon.

gamohyavs TiTo rigidan sami moswavle da sTavazobs moswavleebs rigebs Soris Sejibrs:

maswavlebeli dafasTan mdgari sambavSviani jgufidan erTs aZlevs baraTs ricxviT da

mimarTavs danarCen or moswavles:

_ vidre me xuTamde daviTvli, ipoveT merxze am ricxvis wina da momdevno ricxvi.

gamarjvebuli jgufis grafaSi maswavlebeli Camousvams xazs.

moswavlebi ubrundebian TavianT adgilebs. dafasTan gamodis Semdegi sami jgufi.

maswavlebeli:

_ pirvelma jgufma moZebnos da gvaCvenos ricxv samis Sedgeniloba.

_ meore jgufma moZebnos da gvaCvenos ricxv oTxis Sedgeniloba.

_ mesame jgufma moZebnos da gvaCvenos ricxv xuTis Sedgeniloba.

gamarjvebuli jgufis grafaSi maswavlebeli Camousvams xazs.

moswavlebi ubrundebian TavianT adgilebs. dafasTan gamodis Semdegi sami jgufi.

maswavlebeli:

_ vidre me xuTamde daviTvli, daalageT merxze ricxvebi TanmimdevrobiT, zrdis mixedviT.

gamarjvebuli jgufis grafaSi maswavlebeli Camousvams xazs. gamarjvebulia jgufi, romelic

yvelaze swrafad ipovis swor pasuxs. moswavlebi ubrundebian TavianT adgilebs.

maswavlebels SeuZlia savarjiSo Tavisi Sexedulebisamebr Semdeg gakveTilze gaagrZelos.

gamarjvebulia is rigi, romlis grafaSic meti xazia.


Semdegi samuSao sruldeba wyvilebSi.

maswavlebeli:

_ merxze dadeT xuTi fanqari.

_ gainawileT.

_ ramdennairad SeiZleba gavunawiloT 5 fanqari or moswavles?


maswavlebeli wers dafaze, moswavleebi _ rveulSi.

5=2+3 5=4+1 5=3+2 5=1+4





_ gaaferadeT ujrebi fanqrebis raodenobis Sesabamisad.

_ CawereT ujrebSi gaferadebuli ujrebis raodenobis Sesabamisi ricxvebi.


wuTSesveneba

samuSao rveuli


_ naxatebis mixedviT CawereT Sesabamisi ricxvebi.

74


_ CawereT ujrebSi Sesabamisi ricxvebi.




_ vis ufro meti/naklebi fuli aqvs?


moswavleebi SeZenil codnas: usabameben raodenobas ricxvs da adgenen tolobebs, sworad asruleben

ariTmetikul moqmedebas, ricxvTa mimdevrobaSi avseben Ria pozicias, adareben raodenobebs.

samuSao rveuli

gakveTili # 46_47


gakveTilis mizani: moswavlem iswavlos erTniSna ricxvebis Sekreba ricxv eqvsis farglebSi.

iswavlos am ricxvis Sedgeniloba. saazrovno unar-Cvevebis gamomuSaveba.





gakveTilis msvleloba:maswavlebeli yofs klass sammoswavlian jgufebad. jgufidan erT moswavles aZlevs eqvs

cal sagans (mag., eqvs fanqars an saSlels da sxva) da mimarTavs:

_ es sagnebi Sens or megobars gaunawile.

maswavlebeli kiTxvebis saSualebiT exmareba moswavleebs sagnebis ganawilebaSi.

_ ramdennairad SeiZleba gavunawiloT gias da nias (saxelebi pirobiTia) fanqrebi?

_ moifiqreT.

_ oTxi fanqari mivceT nias, ori fanqari ki _ gias.

_ xuTi fanqari mivceT nias, erTi fanqari ki _ gias.

_ an piriqiT, ori fanqari mivceT nias, oTxi fanqari mivceT gias.

_ erTi fanqari mivceT nias, xuTi fanqari mivceT gias.

maswavlebeli wers dafaze, moswavleebi _ rveulSi.

maswavlebeli savarjiSos imeorebs Semdeg gakveTilze sxva sagnebis gamoyenebiT.

4+2=6

5+1=6

2+4=6

1+5=6

3+3=6

6

5 1

6

4 2

6

3 3

75





wuTSesveneba

samuSao rveuli


_ gaaferadeT da CawereT Sesabamisi ricxvebi nimuSis mixedviT.

savarjiSo # 2maswavlebeli

_ SeadareT ricxvebi.

_ romelia yvelaze maRali sveti? dabali? ratom?


_ ra icvleba? ra ar icvleba yovel momdevno naxatze?

samuSao rveuli

gakveTili # 48

gakveTilis Tema: figurebis modelebis awyoba.

gakveTilis mizani: moswavlem iswavlos figurebis modelebis awyoba.

saWiro masala: Cxirebi an asanTis Rerebi, Tabaxis furclebi.





gakveTilis msvleloba:maswavlebeli urigebs moswavleebs Tabaxis furclebs da sTavazobs TamaSs:

dafaze xatavs xuT geometriul figuras da mimarTavs klass:

_ daakvirdiT naxats da daimaxsovreT, ra TanmimdevrobiT aris figurebi daxatuli.

_ Tvlaze sami figurebs wavSli.

_ daxateT furclebze figurebi ise, rogorc dafaze iyo daxatuli.

_ CamoTvaleT, ra figurebi daxateT furcelze.

maswavlebeli isev xatavs dafaze figurebs da mimarTavs klass:

_ daakvirdiT naxats da daimaxsovreT.

_ axla daxuWeT Tvalebi.

maswavlebeli or figuras ucvlis adgils.

_ gaaxileT Tvalebi.

_ ra Seicvala naxatze?

76

maswavlebeli:

_ yvelam dados merxze Tavisi Cxirebi.

_ am Cxirebisagan Cven SegviZlia avagoT sxvadasxva figura. modiT, vcadoT.

_ avagoT samkuTxedi.

_ ramdeni Cxiri gamoiyeneT?

_ ratom?

_ aiReT kidev erTi Cxiri da SeecadeT samkuTxedisagan miiRoT samkuTxedi da oTxkuTxedi.

_ axla aageT sxvadasxva formis oTxkuTxedebi.

maswavlebeli exmareba moswavleebs da dafaze xatavs oTxkuTxedebs.

_ modiT, vnaxoT. vin ufro met figuras aagebs mxolod sami Cxiris gamoyenebiT.

moswavleebi ageben figurebs. maswavlebeli umowmebs yvelas namuSevars da Tu saWiroa, exmareba.

savarjiSos mizania geometriuli figurebis modelebis Seqmna, igi aseve xels uwyobs saaz-

rovno da SemoqmedebiTi unar-Cvevebis gamomuSavebs.


_ mocemuli nimuSis mixedviT aageT figurebi.

wuTSesveneba


_ daakvirdiT, rogor aris wertilebi SeerTebuli.

_ SearTeT wertilebi nimuSis mixedviT.

gakveTili # 49_50


gakveTilis mizani: moswavlem iswavlos, rogor Seasrulos erTniSna ricxvebis Sekreba Svidis

farglebSi. iswavlos am ricxvis Sedgeniloba. saazrovno unar-Cvevebis gamomuSaveba.

saWiro masala: sxvadasxva feris saTvleli Cxirebi.

gakveTilis msvleloba:samuSao sruldeba wyvilebSi. maswavlebeli mimarTavs wyvilebs:

_ dadeT merxze eqvsi wiTeli Cxiri.

_ daamateT erTi yviTeli Cxiri.

_ erTad ramdeni Cxiria?

_ CawereT rveulSi Sesabamisi toloba.

_ aRvweroT sityvierad Sesrulebuli moqmedeba.

maswavlebeli:

_ ori feris CxirebiT SeadgineT ricxvi Svidi.

maswavlebeli ekiTxeba pirvel wyvils:

_ ramdeni wiTeli Cxiri gaqvT?

_ ramdeni yviTeli Cxiri gaqvT?

_ erTad ramdeni Cxiri gaqvT?

_ CawereT rveulSi Sesabamisi toloba.

maswavlebeli wers dafaze.

77

maswavlebeli imave kiTxvebiT mimarTavs meore wyvils, Semdeg mesames da a. S.

gansxvavebul pasuxebs maswavlebeli wers dafaze, moswavleebi _ rveulSi.

savarjiSos saSualebiT moswavleebi ecnobian ricxv Svidis Sedgenilobas da Semdeg Sekrebas

Svidis farglebSi.



_ ramdeni CurCxela uWiravs nias marcxena xelSi?

_ ramdeni CurCxela uWiravs nias marjvena xelSi?

_ sul ramdeni CurCxela aqvs nias? da a. S.


_ SeadgineT tolobebi naxatebis mixedviT.


_ ratom CawereT es toloba?


_ SeadareT.

wuTSesveneba

samuSao rveuli




_ ratom CawereT es toloba?


_ CaxateT raodenobis Sesabamisi wertilebi nimuSis mixedviT.


_ meramdene ujrebia dafaruli?

_ CawereT.


_ gadaxazeT araswori tolobebi.

savarjiSo xels uwyobs ariTmetikuli moqmedebis Sedegisa da ricxviTi gamosaxulebis

mniSvnelobis Sefasebis unaris ganviTarebas.

wuTSesveneba

samuSao rveuli

78

gakveTili # 51_52


gakveTilis mizani: moswavlem iswavlos erTniSna ricxvebis Sekreba ricxv rvis farglebSi.

iswavlos am ricxvis Sedgeniloba. saazrovno unar-Cvevebis gamomuSaveba.

saWiro masala: rva cali nebismieri patara sagani (kompleqti) merxebis raodenobis mixedviT.





gakveTilis msvleloba:maswavlebeli TiToeul merxze debs Svid sagans da mimarTavs klass:

_ ramdeni sagania Tqvens merxze?

maswavlebeli yvela merxze amatebs erT sagans.

_ axla ramdenia?

_ e. i. Svid sagans davumatoT erTi sagani, iqneba rva sagani.

_ CawereT Sesabamisi toloba: 7+1=8

_ wavikiTxoT.

Semdeg mimarTavs wyvilebs:

_ gainawileT erTmaneTSi sagnebi.

kiTxvebiT mimarTavs wyvilebs, jer pirvel moswavles:

_ ramdeni sagani gaqvs?

Semdeg meores:

_ Sen ramdeni sagani gaqvs?

_ erTad ramdeni sagani gaqvT?


_ wavikiTxoT.

maswavlebeli imave kiTxvebiT mimarTavs meore wyvils, Semdeg mesames da a. S.

gansxvavebul pasuxebs maswavlebeli wers dafaze, moswavleebi _ rveulSi.

savarjiSos saSualebiT moswavleebi ecnobian ricxv rvis Sedgenilobas da Sekrebas rvis

farglebSi.

savarjiSos sxvadasxva raodenobis sagnebis gamoyenebiT moswavleebi Seasruleben Semdeg

gakveTilze.



_ ramdeni vaSlia kalaTSi?

_ ramdeni vaSlia kalaTis gareT?

_ erTad ramdeni vaSlia? da a. S.



_ ra ricxvi CawereT pirvel ujraSi?

_ ratom?

_ e. i. eqvs unda davumatoT ori, rom miviRoT rva. da a.S.

savarjiSo # 3

79

maswavlebeli:


_ romeli gadaxazeT?

_ ratom?

wuTSesveneba

samuSao rveuli


_ CawereT wreebSi Sesabamisi ricxvebi.


_ daakavSireT cxovelebi swor SedegTan.

savarjiSo xels uwyobs ariTmetikuli moqmedebis Sedegisa da ricxviTi gamosaxulebis

mniSvnelobis Sefasebis unaris ganviTarebas.


_ CawereT cariel ujrebSi `>~, `<~ an `=~.


_ CawereT tolobebi figurebis ferebis mixedviT.

wuTSesveneba

samuSao rveuli

gakveTili # 53_54


gakveTilis mizani: moswavlem iswavlos, rogor Seasrulos erTniSna ricxvebis Sekreba cxris

farglebSi. saazrovno da sakomunikacio unar-Cvevebis gamomuSaveba.

saWiro masala: Tabaxis furclebi, muyaos figurebi:

kompleqti.

(kompleqtebis raodenoba jgufebis raodenobis mixedviT). 6 didi marTkuTxedi, 1 trapecia, 2

patara marTkuTxedi. aqedan 5 wiTeli figura, 4 cali _ lurji.





gakveTilis msvleloba:maswavlebeli yofs klass oTxmoswavlian jgufebad. TiTo jgufs urigebs TiTo komleqts

80

muyaos figurebiT da TiTo Tabaxis furcels. mimarTavs jgufebs:

_ gaaerTianeT figurebi saerTo niSnis mixedviT da CawereT Sesabamisi tolobebi.


maswavlebeli tolobebs wers dafaze.

jgufebma unda ganmarton TiToeuli ricxvis mniSvneloba Caweril tolobebSi. Tu moswavleebs

gauWirdebaT davalebis Sesruleba, maswavlebeli SekiTxvebiT exmareba maT, mag.:

_ ramdeni didi oTxkuTxedia?

_ ramdeni patara oTxkuTxedia?

_ sul ramdeni oTxkuTxedia? da a. S.

savarjiSo saSualebiT moswavleebi aerTianeben figurebs Tvisebrivi maxasiaTeblebis mixedviT,

akavSireben raodenobas ricxvTan da weren Sesabamis tolobebs.

savarjiSo xels uwyobs saazrovno, sakomunikacio unar-Cvevebis ganviTarebas.



_ ramdeni lekvia?

_ ramdeni didi ZaRlia?

_ sul ramdeni ZaRlia? da a. S.



_ ra ricxvi CawereT pirvel ujraSi? ratom?


_ SeavseT cxrili nimuSis mixedviT.

_ ra ricxvi CawereT pirvel ujraSi? ratom? da a. S.

wuTSesveneba

samuSao rveuli


_ saxlis saxuravze dawerili ricxvi aRniSnavs TiToeul sarTulze fanjrebis raodenobas.

_ SeavseT sarTulebi fanjrebiT da CawereT ujrebSi fanjrebis raodenobis Sesabamisi ricxvebi

nimuSis mixedviT.


_ daakvirdiT naxats. ra icvleba?

wuTSesveneba

samuSao rveuli

gakveTili # 55-56


gakveTilis mizani: moswavle gaecnos Sekrebis Tvisebas.

81






_ modiT, gavixsenoT, rogor SeiZleba miviRoT ricxvi xuTi.

moswavleebis pasuxis Semdeg maswavlebels gamohyavs dafasTan xuTi moswavle. sam moswavles

ayenebs dafis marjvena mxares, or moswavles _ dafis marcxena mxares. mimarTavs klass:

_ ramdeni moswavlea dafis marjvena mxares?

_ ramdeni moswavlea dafis marcxena mxares?

_ erTad ramdenia?

_ CavweroT.

maswavlebeli wers dafaze, moswavleebi _ rveulSi: 3+2=5.

Semdeg gadaaadgilebs moswavleebs: marjvena mxares ayenebs or moswavles, marcxena mxares _ sams.

_ ramdeni moswavlea dafis marjvena mxares?

_ ramdeni moswavlea dafis marcxena mxares?

_ erTad ramdenia?

_ CavweroT.

maswavlebeli wers dafaze, moswavleebi _ rveulSi: 2+3=5.

maswavlebeli:

_ Cven moswavleebs adgilebi SevucvaleT, magram maTi saerTo raodenoba ar Secvlila.

_ axla SevxedoT Canawerebs:

_ riT hgavs isini erTmaneTs?


_ e. i. Tu magaliTSi tolobis niSnis marcxniv ricxvebs adgilebs SevucvliT, amiT tolobis

pasuxi ar Seicvleba.

maswavlebeli agrZelebs savarjiSos. dafasTan gamohyavs moswavleebis sxvadasxva raodenoba

da TvalnaTliv aCvenebs moswavleebs Sekrebis gadanacvlebadobis kanons.

savarjiSos saSualebiT moswavleebi TviTon midian daskvnamde, rom magaliTSi tolobis

niSnis marcxeniv ricxvebis adgilebis SecvliT toloba ar icvleba.

Semdeg gakveTilze maswavlebeli Caatarebs savarjiSos CxirebiT.


_ gaaferade ujrebi Tevzebis raodenobis Sesabamisad ferebis mixedviT.

_ ramdeni wiTeli Tevzia?

_ ramdeni yviTeli Tevzia?

_ sul ramdeni Tevzia? da a. S.


_ daakvirdiT gaferadebul ujrebs da CawereT Sesabamisi tolobebi.


_ dawereT toloba.

_ axla SemovatrialoT wigni da ise SevxedoT naxats.

_ dawereT toloba.

_ ra Seicvala? ra ar Seicvala?

wuTSesveneba

82

samuSao rveuli



_ daakvirdiT Caweril tolobebs.

_ ra Seicvala? ra ar Seicvala?


_ CawereT `>~, `<~ an `=~.


_ gaaferadeT ujrebi sxvadasxvanairad mocemuli nimuSis mixedviT.

wuTSesveneba

samuSao rveuli

gakveTili # 57


gakveTilis mizani: maswavleblisTvis xelis Sewyoba. Seamowmos da Seafasos, ramdenad sworad







gakveTilis msvleloba:maswavlebels gamohyavs dafasTan eqvsi moswavle da TiToeul maTgans urigebs baraTebs

ricxvebiT: 5, 6, 7, 8. danarCen moswavleebs urigebs baraTebs ise, rom SesaZlebeli iyos mocemuli

ricxvebis Sedgenilobis yvela SesaZlo SemTxvevis miReba.

maswavlebeli:

_ Cveni saklaso oTaxi mindoria, sadac cxvrebia gafantuli.

_ mecxvareebma (miuTiTebs dafasTan mdgom moswavleebze) TavianTi cxvrebi mocemuli ricxve-

bis Sedgenilobis mixedviT unda moagrovon.

yvela mecxvare Tavis cxvrebs miTiTebul adgilas agrovebs. maswavlebeli amowmebs Sesrulebul

davalebas.

moswavleebi ubrundebian Tavis adgilebs.

maswavlebeli savarjiSos imeorebs. dafasTan gamohyavs Semdegi eqvsi moswavle da a. S.




_naxatebis mixedviT CawereT Sesabamisi tolobebi.

83


_ gamoiangariSeT.




_ ramden bavSvs Sexvdeba qudi?


moswavleebi SeZenil codnas: aerTianeben sagnebs saerTo niSnis mixedviT da weren Sesabamis

tolobebs, iyeneben Sekrebis Tvisebas, adgenen miTiTebul ricxvamde Sesavseb raodenobas da

akavSireben Sekrebis moqmedebasTan.

wuTSesveneba

samuSao rveuli

gakveTili # 58


gakveTilis mizani: maswavleblisTvis xelis Sewyoba Seamowmos da Seafasos Tu ramdenad sworad

iyeneben moswavleebi SeZenil codnas. saazrovno, sakomunikacio unar-Cvevebis gamomuSaveba.

saWiro masala: Tabaxis furclebi, patara zomis muyaos furclebi, romlebzec xatia:

1) 6 yvavili: 5 yvavili erTnairi formis, aqedan 2 yvavili patara zomis; erTi gansxvavebuli

formis, didi zomis; sami yvavili wiTeli ferisaa, sami yvavili_ lurji.

wiTeli lurji

2) Svidi soko: eqvsi erTnairi formis, aqedan ori soko patara zomisaa; erTi gansxvavebuli

formis didi zomis soko; oTxi soko wiTeli ferisaa, sami _ yavisferi.

wiTeli yavisferi

3) rva pepela: Svidi erTnairi formis, aqedan ori patara zomis, erTi gansxvavebuli formis;

oTxi pepela yviTeli ferisaa, oTxi _ TeTri.

4) cxra foToli: rva erTnairi formis, aqedan ori patara zomis, erTi gansxvavebuli formis

xuTi foToli mwvane feris, oTxi _ yviTeli.



84



gakveTilis msvleloba:maswavlebeli yofs klass eqvsmoswavlian jgufebad. urigebs jgufebs TiTo Tabaxis furcels

da muyaos furclebze daxatul sagnebs:

I jgufs _ yvavilebs

II jgufs _ foTlebs

III jgufs _ sokoebs

IV jgufs _ peplebs

da aZlevs davalebas:

maswavlebeli:

_ gaaerTianeT sagnebi romelime saerTo niSnis mixedviT.

_ SeadgineT tolobebi.

maswavlebeli exmareba jgufebs kiTxvebiT:

_ ramdeni didi sagani gaqvT?

_ ramdeni patara sagani gaqvT?

_ sul ramdeni sagani gaqvT?

_ ramdeni erTi formis sagani gaqvT?

_ ramdeni gansxvavebuli formis sagani gaqvT?


_ ramdeni erTi feris sagani gaqvT?


samuSaos damTavrebis Semdeg TiToeuli jgufi waradgens Tavis namuSevars. maswavlebeli

exmareba im jgufs, romelsac samuSao dasrulebuli ara aqvs.

savarjiSos saSualebiT moswavleebi aerTianeben sagnebs Tvisebrivi da raodenobrivi maxasi-

aTeblebis mixedviT da akavSireben Sekrebis moqmedebasTan, rac xels uwyobs saazrovno da

sakomunikacio unar-Cvevebis gamomuSavebas.



_ ra icvleba meore naxatze?

_ ramdeni sagani daemata meore naxatze?



_ TiToeuli naxatisaTvis CawereT ori toloba.


_ gamoiangariSeT.


_ CawereT cariel ujrebSiricxvebi rigis mixedviT.

savarjiSos saSualebiT maswavlebeli amowmebs da afasebs, ramdenad sworad iyeneben mos-

wavleebi SeZenil codnas: daakavSiron raodenobis Secvla Sekrebis moqmedebasTan da Caweron Sesa-

bamisi toloba, SeZlon Sekrebis Tvisebis gamoyeneba, sworad Seasrulon Sesabamisi ariTmetikuli

moqmedeba da daalagon ricxvebi mimdevrobiT.

samuSao rveuli

85

gakveTili # 59

gakveTilis Tema: erTniSna ricxvebis gamokleba.

gakveTilis mizani: moswavle gaecnos moqmedeba gamoklebas xuTis farglebSi.

saWiro masala: 5 gaberili buSti.





gakveTilis msvleloba:maswavlebeli iRebs xelSi xuT cal gaberil buSts da mimarTavs klass:

_ me xelSi buStebi miWiravs.

_ ramdeni buStia?

maswavlebeli fuSavs erT buSts.

_ me xuTi buSti mqonda.

_ axla ramdeni gaberili buSti maqvs?

maswavlebeli fuSavs kidev erT buSts.

_ me oTxi gaberili buSti mqonda.



_ me sami gaberili buSti mqonda.



_ me ori gaberili buSti mqonda.



_ me erTi gaberili buSti mqonda.


savarjiSos saSualebiT moswavleebi ecnobian moqmedeba gamoklebas.



_ ras aRniSnavs TiToeuli ricxvi?


_ nias hqonda xuTi nayini. erTi nayini misca daTos. ramdeni nayini darCa nias?

_ me am moqmedebas Cavwer ricxvebisa da moqmedebis niSnebis saSualebiT:

maswavlebeli wers dafaze: 5_1=4.

maswavlebeli xsnis TiToeuli ricxvisa da niSnis mniSvnelobas Caweril tolobaSi.

_ nias hqonda oTxi nayini. erTi nayini misca gias. ramdeni nayini darCa nias?


_ nias hqonda sami nayini.

_ erTi nayini misca lias.

_ ramdeni nayini darCa nias?

_ CawerT Sesabamisi toloba.

_ nias hqonda ori nayini. erTi nayini misca nanas. ramdeni nayini darCa nias?

_ CawerT Sesabamisi toloba.

86



_ ramdeni kvercxia naxatze?

_ ramdeni kvercxia gatexili?

_ ramdeni kvercxia mTeli?

_ ramdeni kakalia naxatze?

_ ramdeni kakalia gatexili?

_ ramdeni kakalia mTeli?

_ ramdeni vaSlia naxatze?

_ ramdeni vaSlia mokbeCili?

_ ramdeni vaSli ar aris mokbeCili?

_ ramdeni buStia naxatze?

_ ramdeni buStia CafuSuli?

_ ramdeni buStia gaberili?


savarjiSoebis saSualebiT moswavleebi ecnobian gamoklebis Sesrulebas 5-is farglebSi.

savarjiSo rveuli

gakveTili # 60_61


gakveTilis mizani: moswavlem iswavlos erTniSna ricxvebis gamokleba xuTis farglebSi. saazrovno


saWiro masala: baraTebi ricxvebiT: 1, 2, 3, 4, 5. xuTi furceli: TiToeulze sxvadasxva qalaqis saxeli weria.





gakveTilis msvleloba: maswavlebeli saklaso oTaxis kedlebze amagrebs furclebs qalaqis saxelwodebiT, awyobs

skamebs xuT rigad (TiTo rigSi _ xuTi skami), yovel rigSi pirveli skamis sazurgeze amagrebs

baraTs ricxviT. yofs klass xuTmoswavlian jgufebad da mimarTavs:

_ es Cveni matareblebia, pirveli jgufi Cajdes pirvel matarebelSi, meore jgufi _ meoreSi da a. S.

_ xeli aswion maT, vinc pirvel vagonSi zis, axla xeli aswion maT, vinc meore vagonSi zis da a. S.

_ sadgurSi xuTi matarebeli dgas, pirveli matarebeli quTaisSi gaemgzavra. (moswavlebi

miemarTebian Sesabamisi warwerisaken. Semdeg ubrundebian TavianT adgilebs).

_ ramdeni matarebeli iyo sadgurSi?

_ ramdeni matarebeli gaemgzavra quTaisSi?

_ ramdeni matarebeli darCa sadgurSi?

_ e. i. xuT matarebels rom gamovakloT erTi matarebeli, darCeba oTxi matarebeli.

_ xuTi matarebeli metia/naklebia Tu oTxi?

_ rogor Seicvala matareblebis raodenoba gamoklebis Sedegad?

_ gamoklebis Sedegad matareblebis raodenoba Semcirda.

_ meore matarebeli gaemgzavra baTumSi, magram gzaSi ori vagoni dauzianda movxsnaT da

SevakeToT _ ori moswavle akldeba matarebels.

_ ramdeni vagoni iyo matarebelSi?

_ ramdeni vagoni dazianda?

_ ramdeni vagoni darCa?

87

_ e. i. xuT vagons rom gamovakloT ori vagoni, darCeba sami vagoni.

_ xuTi vagoni metia/naklebia Tu sami?

_ rogor Seicvala vagonebis raodenoba gamoklebis Sedegad? da a. S.

maswavlebels SeuZlia gaagrZelos savarjiSo Tavisi Sexedulebisamebr.

savarjiSos saSualebiT moswavleebi ecnobian erTniSna ricxvebis gamoklebas xuTis farglebSi,

aseve varjiSoben ricxvebis gamoyenebaSi sagnebis rigisa da nomris aRsaniSnavad.

Semdeg gakveTilze maswavlebeli Caatarebs savarjiSos sxvadasxva feris CxirebiT (mag., 3 lurji

da 2 wiTeli).

maswavlebeli:

_ gaaerTianeT Cxirebi saerTo niSnis mixedviT.

_ sul ramdeni Cxiria? (wers dafaze).

_ gamoakeliT wiTeli Cxirebi (wers dafaze).

_ ramdeni Cxiri darCa? (wers dafaze).

maswavlebelma SeiZleba ramdenjerme gaimeoros savarjiSo sxvadasxva sagnebiT.



_ sul ramdeni ixvia naxatze?

_ ramdeni ixvi mifrinavs?

_ ramdeni ixvi zis?

_ rogor Seicvala ixvebis raodenoba?

_ sul ramdeni wrea?

_ ramdeni wrea gadaxazuli?

_ ramdeni wre ar aris gadaxazuli?

_ ra moqmedeba weria naxatis qveS?

_ ratom?

_ e. i. ixvebis raodenoba Semcirda.



_ sul ramdeni bayayia pirvel naxatze?

_ ramdenma bayayma CayvinTa?

_ ramdeni bayayi darCa napirze?

_ sul ramdeni bayayia meore naxatze?

_ ramdenma bayayma CayvinTa?

_ ramdeni bayayi darCa napirze?

_ sul ramdeni lokokinaa mesame naxatze?

_ ramdeni lokokina midis?

_ ramdeni lokokina zis?

_ sul ramdeni lokokinaa meoTxe naxatze?

_ ramdeni lokokina midis?

_ ramdeni lokokina darCa?

savarjiSoebis saSualebiT moswavleebi asruleben gamoklebas 5-is farglebSi.

wuTSesveneba

samuSao rveuli


_ gadaxazeT gamoklebuli ricxvis Sesabamisi wreebis raodenoba.

_ gamoiangariSeT.

88


_ gamoiangariSeT.

savarjiSo # 3savarjiSo sruldeba damoukideblad. samuSaos dasrulebis Semdeg wyvilebi amowmeben

erTmaneTis namuSevars.

maswavlebeli:

_ gamoiangariSeT.

wuTSesveneba

samuSao rveuli

gakveTili # 62_63









gakveTilis msvleloba:maswavlebeli yofs klass oTxmoswavlian jgufebad, urigebs jgufebs TiTo Tabaxis furcels

da mimarTavs:

_ erTad moifiqreT da daxateT furcelze figurebi, romlebic iciT.


moswavleebma unda daasaxelon daxatuli geometriuli figurebi, maTi wverebisa da gver-

debis raodenoba.

savarjiSos saSualebiT maswavlebeli amowmebs, ramdenad kargad SeuZliaT moswavleebs

geometriuli figurebis daxasiaTeba.

Semdeg gakveTilze maswavlebeli Caatarebs samuSaos: yofs klass jgufebad da urigebs

Tabaxis furclebs, dafaze xatavs figurebs:

maswavlebeli:

_ dafaze daxatuli figurebi gadaxateT furcelze.

_ gaavleT samkuTxedSi erTi xazi ise, rom miiRoT samkuTxedi da oTxkuTxedi.

_ gaavleT oTkuTxedSi erTi xazi ise, rom miiRoT samkuTxedi da oTxkuTxedi.

_ gaavleT meore oTxkuTxedSi erTi xazi ise, rom miiRoT ori samkuTxedi da a. S.

samuSaos damTavrebis Semdeg yvela jgufi waradgens Tavis namuSevars.

savarjiSos mizania, xeli Seuwyos saazrovno (problemis gadaWra) da sakomunikacio (namuSevris

wardgena, argumentacia, mosmena) unar-Cvevebis gamomuSavebas.


89

savarjiSo #1maswavlebeli:

_ ras niSnavs TiToeuli Canaweri?

_ gamoiangariSeT.




_ CawereT cariel ujrebSi `<~, `>~ an `=~ niSnebi.


_ daakvirdiT yvavilebs.


savarjiSoebi xels uwyobs maswavlebels, Seamowmos da Seafasos, ramdenad sworad iyeneben

moswavleebi miRebul codnas: ricxvebze moqmedebebisa da saganTa Sesabamisi erTobliobebis erT-

maneTTan dakavSireba, ariTmetikuli moqmedebis Sedegisa da ricxviTi gamosaxulebis mniSvnelobis

Sefaseba, kanonzomierebis dadgena.

wuTSesveneba

samuSao rveuli


savarjiSo # 1_ gamoiangariSeT.


_ CawereT cariel ujrebSi `+~ an `_~ niSnebi.

savarjiSo # 3_ gamoiangariSeT.


_ gaanawileT figurebi or jgufad.

samuSaos dasrulebis Semdeg wyvilebi amowmeben erTmaneTis namuSevars, Semdeg TiToeuli

maTgani asabuTebs, ratom CaTvala sworad an arasworad namuSevari.

wuTSesveneba

samuSao rveuli

gakveTili # 64-65


gakveTilis mizani: moswavlem iswavlos erTniSna ricxvebis gamokleba eqvsis farglebSi.

saazrovno unar-Cvevebis gamomuSaveba.

90






gakveTilis msvleloba:maswavlebeli yofs klass eqvsmoswavlian jgufebad:

_ erTad moifiqreT da daxateT Ramis suraTi, oRond jgufis yvela wevrma furcelze TiTo

varskvlavi daxatos.

samuSaos dasrulebis Semdeg TiToeuli jgufi waradgens Tavis namuSevars.

maswavlebeli:

_ rogorc iciT, Ramis Semdeg dgeba dila da caze varskvlavebi erTmaneTis miyolebiT qreba.

_ jer Caqra erTi varskvlavi (xazi gadausviT).

_ ramdeni varskvlavi iyo caze?

_ ramdeni varskvlavi gaqra?

_ ramdeni varskvlavi darCa caze?

_ ra moqmedeba Sesrulda?

_ eqvs varskvlavs moaklda erTi varskvlavi da darCa xuTi varskvlavi.

_ rogor Seicvala varskvlavebis raodenoba?

_ ratom?

_ e. i. gamoklebisas Tavdapirveli raodenoba mcirdeba.

_ axla gaqra kidev ori varskvlavi da a. S.

savarjiSos saSualebiT moswavleebi ecnobian erTniSna ricxvebis gamoklebas eqvsis farglebSi.

momdevno gakveTilze maswavlebeli Caatarebs savarjiSos CxirebiT da daexmareba moswavleebs

Sesabamisi tolobebis CaweraSi:

6_1= 6_4= 5_1= 5_4= 4_2=

6_2= 6_5= 5_2= 5_5= 4_3=

6_3= 6_6= 5_3= 4_1= 4_4=


_ gadaxazeT gamoklebuli ricxvis Sesabamisi sagnebis raodenoba.

_ gamoiangariSeT.


_ ipoveT tolobebSi Secdomebi da gaasworeT.

_ gadaxazeT da miuwereT swori pasuxi.

wuTSesvenebasamuSao rveuli


_ daakavSireT naxatebi CanawerTan nimuSis mixedviT.


_ gaaTanabreT samkuTxedebis, oTxkuTxedebisa da wreebis raodenoba.

_ rogor gaaTanabrebT?


91

gakveTili # 66_67


gakveTilis mizani: moswavlem iswavlos erTniSna ricxvebis gamokleba Svidis farglebSi.






saWiro masala: qaRaldis formati, Wikartebi.

maswavlebeli uTanxmdeba Sromis maswavlebels, rom Sromis gakveTilze moswavleebs

daamzadebinos Svidi xe.

gakveTilis msvleloba:maswavlebeli dafaze gakrul qaRaldis formatze WikartebiT amagrebs Svid xes.

maswavlebeli:

_ baybaydevs SeSa dasWirda da tyeSi wavida xeebis mosaWrelad.

_ pirvelad moWra erTi xe (maswavlebeli xsnis an makratliT Wris erT xes).

_ ramdeni xe iyo Cvens tyeSi?

_ ramdeni xe moWra baybaydevma?

_ axla ramdeni xea Cvens tyeSi?

_ ra moqmedeba Sesrulda?

_ Svid xes moaklda erTi xe da darCa eqvsi xe.

_ rogor Seicvala xeebis raodenoba?

_ ratom?

_ e. i. gamoklebisas Tavdapirveli raodenoba . . . da a. S.

maswavlebeli:

_ bolos tyeSi arc erTi xear darCa . saerTod tyeSi mxolod im xis moWra SeiZleba, romelic

nebadarTulia. moWrili xis sanacvlod ki aucileblad axali xe unda davrgoT.

savarjiSos saSualebiT moswavleebi ecnobian erTniSna ricxvebis gamoklebas Svidis farglebSi.


Sesabamisi tolobebis CaweraSi:

7_1= 7_5= 6_2= 6_6= 5_4=

7_2= 7_6= 6_3= 5_1= 5_5=

7_3= 7_7= 6_4= 5_2= 7_0=

7_4= 6_1= 6_5= 5_3= 6_0=


_ SeadgineT tolobebi nimuSis mixedviT.

maswavlebeli aZlevs moswavleebs mofiqrebis saSualebas, Semdeg exmareba maT:

_ sul ramdeni keglia naxatze?

_ ramdeni keglia waqceuli?

_ ramdeni kegli ar aris waqceuli? da a. S.



_ ras amCnevT?

92

wuTSesveneba

samuSao rveuli


_ daakavSireT naxatebi Sesabamis CanawerTan.

_ ramdeni xea daxatuli?

_ ramdeni xea gadaxazuli?

_ romel gamosaxulebasTan SearTeT?

_ ratom? da a. S.


_ SeavseT carieli ujrebi.

wuTSesveneba

samuSao rveuli

gakveTili # 68_69


gakveTilis mizani: moswavlem iswavlos erTniSna ricxvebis gamokleba rvis farglebSi.

ricxvebze. saazrovno unar-Cvevebis gamomuSaveba.





gakveTilis msvleloba:maswavlebeli aTanabrebs rigebSi moswavleebis raodenobas da dafas yofs sam nawilad:

TiToeul nawilSi wers rigSi moswavleebis raodenobis Sesabamis savarjiSoebs da sTavazobs

moswavleebs rigebs Soris Sejibrs:

I rigi II rigi III rigi

maswavlebeli:


savarjiSos mizania Seswavlili masalis gameoreba. Semdeg maswavlebeli yofs moswavleebs

rvabavSvian jgufebad da mimarTavs klass:

_ TiToeuli jgufidan gamovides TiTo moswavle da dadges dafasTan (maswavlebels SeuZlia

daasaxelos konkretuli moswavlebi).

_ ramdeni moswavle iyo jgufSi Tavdapirvelad?

_ ramdeni moswavle moaklda jgufs?

_ ramdeni moswavle darCa jgufSi?

_ ratom Seicvala jgufSi moswavleebis raodenoba?

_ rogor Seicvala jgufSi moswavleebis raodenoba gamoklebis Sedegad?

Semdeg maswavlebeli mimarTavs dafasTan mdgom moswavleebs:

1 3 3 5 5 7

7 8 6 5 4 3

2 8 6

2 3 5 4 1 2

93

_ dabrundiT adgilebze.

_ axla TiToeuli jgufidan gamovides kidev ori moswavle da dadges dafasTan da a. S.


Sesabamisi tolobebis CaweraSi.


_ gamoiangariSeT.

_ ramdeni bavSvia suraTze?

_ ramdeni biWia?

_ ramdeni gogoa?

_ ramdeni bavSvi adis avtobusSi?

_ ramdeni bavSvi darCa gaCerebaze?

_ ra moqmedebaa Cawerili?

_ rva bavSvi metia/naklebia Tu eqvsi bavSvi?




_ gamoiangariSeT.

wuTSesveneba

samuSao rveuli


_ gadaxazeT gamoklebuli ricxvis Sesabamisi raodenobis wreebi.

_ gamoangariSeT.




_ gadaxazeT yvela oTxkuTxedi.

savarjiSoebi xels uwyobs ricxvebze moqmedebebis Sesrulebis unar-Cvevis gamomuSavebas, aseve

Seswavlili masalis gameorebas.

wuTSesveneba

samuSao rveuli

gakveTili # 70-71


gakveTilis mizani: moswavlem iswavlos erTniSna ricxvebis gamokleba cxris farglebSi. saazrovno




94




_ daasaxeleT ricxvebi erTidan aTamde da piriqiT.

_ daasaxeleT ricxvebi xuTidan cxramde da piriqiT.

_ daasaxeleT ricxvebi erTis gamotovebiT cxramde.

_ daasaxeleT samis momdevno ori ricxvi.

_ daasaxeleT eqvsis wina sami ricxvi, da a. S.

Semdeg maswavlebeli asaxelebs savarjiSos 1+1 da mimarTavs erT-erT moswavles:

_ daasaxele pasuxi.

_ mimarTavs meore moswavles:

_ daasaxele toloba romelic iwyeba gias mier dasaxelebuli pasuxiT da emateba erTi.

mimarTavs mesame moswavles:

_ daasaxele toloba, romelic iwyeba anas mier dasaxelebuli pasuxiT da emateba erTi da a. S.

Semdeg gakveTilze maswavlebeli gaimeorebs savarjiSos, mxolod Sekrebas Secvlis gamoklebiT.

savarjiSos saSualebiT xdeba Seswavlili masalis gameoreba, aseve moswavleebi zepiri anga-

riSisas iyeneben erTis toli bijiT Tvlas.






_ CawereT cariel ujrebSi `>~ an `<~ niSnebi.

_ rogor Seicvala raodenoba?

wuTSesveneba


_ daakavSireT Canaweri swor pasuxTan nimuSis mixedviT.


_ CawereT wreSi figuris wverebis raodenoba.


_ gamoiangariSeT.

savarjiSo xels uwyobs saazrovno (ricxvebze Sesabamisi moqmedebebis Sesruleba, ricxviTi

gamosaxulebis mniSvnelobisa da ariTmetikuli moqmedebis Sesrulebis Sefaseba, geometriuli

figuris daxasiaTeba) unar-Cvevebis gamomuSaveba.

wuTSesveneba

samuSao rveuli

95

gakveTili # 72_73


gakveTilis mizani: moswavlem SeZlos, Sekreba-gamoklebis Sesrulebisas gansazRvros gansxva-

veba sawyis raodenobasa da Sedegs Soris. saazrovno unar-Cvevebis gamomuSaveba.

saWiro masala: muyaos oTxkuTxedebi: oTxi wiTeli, oTxi lurji (kompleqti) (kompleqtebis

raodenoba _ merxebis raodenobis mixedviT).





gakveTilis msvleloba:samuSao sruldeba wyvilebSi.

maswavlebeli TiTo merxze debs muyaos figurebis TiTo kompleqts da mimarTavs klass:

_ gainawileT figurebi ferebis mixedviT.

_ axla erT-erTma Tqvenganma misces meores erTi figura.

_ niam misca gias erTi figura (saxelebi pirobiTia).

_ ramdeni figura hqonda gias?

_ axla ramdeni figura aqvs gias?

_ rogor Seicvala gias figurebis raodenoba?

_ ratom?

_ ramdeni figura daemata gias figurebis raodenobas?

_ e. i. gias figurebis raodenoba... maswavlebeli aZlevs moswavleebs saSualebas TviTon

daasrulon winadadeba. Semdeg exmareba maT:

_ gias figurebis raodenoba gaizarda imdeniT, ramdeni figurac daemata maT _ e. i. erTiT.

_ ramdeni figura aqvs axla nias?

_ rogor Seicvala nias figurebis raodenoba?

_ ratom?

_ ramdeni figura moaklda nias figurebis raodenobas?

_ e. i. nias figurebis raodenoba... maswavlebeli aZlevs moswavleebs saSualebas, TviTon

daasrulon winadadeba. Semdeg exmareba maT:

_ nias figurebis raodenoba Semcirda imdeniT, ramdeni figurac moaklda maT _ e. i. erTiT.

savarjiSos saSualebiT, sagnebze moqmedebis Sedegad, moswavleebi ecnobian, Tu ramdeniT

izrdeba sawyisi raodenoba mimatebisas da ramdeniT mcirdeba gamoklebisas.

Semdeg gakveTilze maswavlebeli wers dafaze ricxvebs 0, 1, 2, 3, 4, 5, 6, 7, 8 da mimarTavs moswavleebs:

_ gaadideT yvela ricxvi erTiT.

Semdeg wers ricxvebs 1, 2, 3, 4, 5, 6, 7, 8, 9 da mimarTavs moswavleebs:

_ SeamcireT yvela ricxvi erTiT.



_ rogor Seicvleba nias kanfetebis raodenoba?

_ ratom?

_ rogor Seicvleba gias kanfetebis raodenoba?

_ ratom?

_ ramdeniT gaizrdeba nias kanfetebis raodenoba?

_ ramdeniT Semcirdeba gias kanfetebis raodenoba?

96


_ ra Seicvala meore naxatze? CawereT Sesabamisi tolobebi.

_ ratom?

_ rogor Seicvleba xeze vaSlebis raodenoba?

_ ratom?

_ ramdeniT gaizarda Camocvenili vaSlebis raodenoba?

_ ramdeniT Semcirda xeze vaSlebis raodenoba?

savarjiSos saSualebiT moswavleebi xedaven gansxvavebas sawyis raodenobasa da Sedegs Soris

da akavSireben Sekreba-gamoklebis moqmedebasTan (raodenoba izrdeba imdeniT, ramdenic emateba,

mcirdeba imdeniT, ramdenic akldeba).


_ SeadareT.


maswavlebeli:

_ gaadideT yvela ricxvi oriT.

samuSaos dasrulebis Semdeg wyvilebi amowmeben erTmaneTis namuSevars.

savarjiSos saSualebiT moswavleebi acnobiereben, rom gadideba dakavSirebulia mimatebasTan.

wuTSesveneba

samuSao rveuli



_ SeamcireT yvela ricxvi oriT.






_ CawereT cariel ujrebSi `>~, `<~ niSnebi. ras amCnevT?



_ ra icvleba yovel momdevno naxatze?

_ rogor icvleba yvavilebis raodenoba?

_ ramdeniT izrdeba yvavilebis raodenoba?

_ gaagrZeleT.

wuTSesveneba

samuSao rveuli

97

gakveTili # 74-75








gakveTilis msvleloba:maswavlebeli aTanabrebs rigebSi moswavleebis raodenobas, dafas yofs sam nawilad, TiToeul

nawilSi wers rigSi moswavleebis raodenobis Sesabamisi raodenobis savarjiSoebs da mimarTavs rigebs:

_ rigrigobiT gamodiT da dawereT pasuxebi.







leebi SeZenil codnas: sworad asruleben Sekreba-gamoklebis moqmedebas 9-is farglebSi.

adgenen mimdevrobis kanonzomierebas da agrZeleben.

wuTSesveneba

samuSao rveuli




_ gadaxazeT yvela Canaweri, romlis pasuxic ar aris 5.


_ gaagrZeleT.

wuTSesveneba

samuSao rveuli

gakveTilis bolos maswavlebeli avalebs moswavleebs, moitanon TiTo patara saTamaSo.

98

gakveTili # 76_77

gakveTilis Tema: erTniSna ricxvebis Sekreba-gamokleba.

gakveTilis mizani: moswavlem SeZlos saganTa jgufebSi raodenobebis dawyvilebiT Sedarebisas

gansxvavebis gansazRvra. saazrovno unar-Cvevebis gamomuSaveba.

saWiro masala: saCuqrebis Sesaxvevi qaRaldebi, (qaRaldebis raodenoba 1-iT metia klasSi

moswavleebis raodenobaze), patara zomis saTamaSoebi.






_ modiT, erTmaneTs gavukeToT saCuqrebi Tqven gaqvT saTamaSoebi (SesaZlebelia saTamaSoebis

damzadeba plastilinisgan), me maqvs saTamaSoebis Sesaxvevi qaRaldebi.

_ unda davadginoT, eyofa Tu ara Sesaxvevi qaRaldebi saTamaSoebs.

_ rogor davadginoT?

Tu moswavleebi ver moifiqreben Sedarebis xerxs, maswavlebeli exmareba maT.

maswavlebeli:

_ SevaxvioT erT qaRaldSi erTi saTamaSo.

_ ra xerxi gamoviyeneT?

_ romelia meti/naklebi: qaRaldebi Tu saTamaSoebi?

_ ramdeni qaRaldi darCa saTamaSos gareSe?

_ ramdeniT metia qaRaldebis raodenoba?

_ qaRaldebis raodenoba imdeniT metia, ramdenic dagvrCa saTamaSos gareSe. e. i. erTiT.

savarjiSos saSualebiT moswavleebi TvalnaTliv xedaven, saganTa jgufebSi raodenobebis

dawyvilebiT rogor xdeba gansxvavebis gansazRvra.

Semdeg gakveTilze moswavleebi dawyvilebiT daadgenen, ramdeniT meti/naklebi gogonaa klasSi

biWebTan SedarebiT.


_ romelia meti/naklebi? ramdeniT? CawereT ujraSi.

_ ramdeni buSti aqvs nias?

_ ramdeni buSti aqvs gias?

_ romels aqvs meti buSti?

_ ramdeniT meti?

_ ramdeniT naklebi buSti aqvs gias?



_ ramdeni qudia?

_ ramdeni Sarfia?

_ romelia meti?

_ ramdeniT meti qudia?

_ ramdeniT naklebi Sarfia?

_ rogor daadgineT?

99



_ ramdeni kabaa?

_ ramdeni Sarvalia?

_ romelia meti?

_ ramdeniT meti kabaa?

_ ramdeniT naklebi Sarvalia?

_ rogor daadgineT?



_ romeli naxati gadaxazeT?

_ ratom?

wuTSesveneba

samuSao rveuli


_ CawereT cariel ujrebSi ricxvebi ise, rom Canaweri swori iyos.


_ ratom?

_ kidev romeli ricxvebis Cawera SeiZleba?

_ ratom?


_ gamoiangariSeT.

_ riT hgavs TiToeul svetSi dawerili Canaweri erTmaneTs?

_ ras amCnevT?

pirvel svetSi mocemul savarjiSoebSi yvela ricxvs akldeba erTi da igive ricxvi. rac ufro

didia sawyisi raodenoba, miT metia Sedegi.

meore svetSi mocemul savarjiSoebSi erTsa da imave ricxvs akldeba sxvadasxva ricxvi. rac

ufro metia gamoklebuli raodenoba, miT ufro naklebia Sedegi. da a.S.


_ ramdeniT metia yoveli momdevno ricxvi winaze? CawereT.

_ ratom?


_ gaagrZeleT.

wuTSesveneba

samuSao rveuli

100

gakveTili # 78_79

gakveTilis Tema: erTniSna ricxvebis Sekreba-gamokleba.

gakveTilis mizani: moswavlem SeZlos jgufebSi saganTa raodenobebis Sedarebisas gansxvavebis

gamoklebiT gansazRvra. saazrovno unar-Cvevebis gamomuSaveba.

saWiro masala: maswavlebeli uTanxmdeba Sromis maswavlebels, rom Sromis gakveTilze moswavleebs

Cvidmeti vaSli daamzadebinos. qaRaldis formati, romelzec xatia ori xe. xeebze maswavlebeli

WikartebiT amagrebs moswavleebis mier damzadebul vaSlebs (9 da 8).

saWiro dro:

1) aqtiuri savarjiSo _10 wT.




gakveTilis msvleloba: maswavlebeli kidebs gamzadebul qaRaldis formats da mimarTavs klass:

_ dRes Cven vaSlebi unda davkrifoT da Tan dauTvlelad da dawyvilebis gareSe davadginoT,

romel xeze meti/naklebi vaSlia.

_ rogor davadginoT?

maswavlebeli aZlevs moswavleebs mofiqrebis saSualebas da Semdeg exmareba maT.

maswavlebels gamohyavs ori moswavle da orive xidan erTdroulad axsnevinebs TiTo vaSls.

Semdeg kidev ori moswavle gamohyavs da imaves akeTebinebs da a. S.

_ am xeze (miuTiTebs cariel xeze) arc erTi vaSli aRar aris.

_ im xeze ki erTi vaSli darCa.

_ ratom?

_ imitom, rom meore xeze ufro meti vaSli iyo.

_ rogor daadgineT?

maswavlebeli aZlevs moswavleebs mofiqrebis saSualebas da Semdeg exmareba maT:

_ Cven gamovakeliT erTi xis vaSlebis raodenobas meore xis vaSlebis raodenoba da dagvrCa

erTi vaSli.

_ ramdeniT meti vaSli yofila am xeze?

_ ramdeniT naklebi vaSli yofila meore xeze?

_ imisaTvis, rom davadginoT, ramdeniT metia/naklebia erTi raodenoba meoreze, ufro bevrs

unda gamovakloT ufro cota.

savarjiSos saSualebiT moswavleebi TvalnaTliv xedaven, rogor ukavSirdeba or raode-

nobas Soris damokidebuleba gamoklebas.

momdevno gakveTilze maswavlebeli Caatarebs savarjiSos sxvadasxva feris CxirebiT da daex-

mareba moswavleebs Sesabamisi tolobebis CaweraSi.


_ romels aqvs meti/naklebi nayini: gias Tu nias? ramdeniT?



_ romel larnakSia meti/naklebi yvavili? ramdeniT?



_ romel kalaTSia meti/naklebi msxali? ramdeniT?

101


savarjiSoebis saSualebiT moswavleebi adgenen raodenobebs Soris gansxvavebas gamoklebiT.


_ CawereT cariel ujrebSi Sesabamisi ricxvebi nimuSis mixedviT.


_ ratom?

_ e. i. 5 da 3 erTad aris 8 da a. S.

wuTSesveneba

samuSao rveuli


_ CawereT cariel ujrebSi `>~, `<~ an `=~ niSnebi.


_ CawereT cariel ujraSi Sesabamisi ricxvebi.


_ ratom?


_ ramdeniT naklebia yoveli wina ricxvi momdevnoze? CawereT.

_ ratom?


_ gaagrZeleT.

wuTSesveneba

samuSao rveuli

gakveTili # 80-81

gakveTilis Tema: erTniSna ricxvebis Sekreba-gamokleba. Seswavlili masalis gameoreba.

gakveTilis mizani: maswavleblisTvis xelis Sewyoba Seamowmos da Seafasos Tu ramdenad sworad


saWiro masala: qaRaldis formati, feradi flomasterebi, muyaos kolofebi (kolofebis

raodenoba_merxebis raodenobis mixedviT).





gakveTilis msvleloba:maswavlebeli kidebs winaswar gamzadebul qaRaldis formats, sadac feradi flomastrebiT weria:

102

0+1= 9_1=

1+1= 8_1=

2+1= 7_1=

3+1= 6_1=

4+1= 5_1=

5+1= 4_1=

6+1= 3_1=

7+1= 2_1=

8+1= 1_1=

da mimarTavs klass:

_ saTiTaod gamodiT da Sesabamisi feris flomasteriT miuwereT pasuxi.

gamzadebul TvalsaCinoebas maswavlebeli kidebs klasSi.

Semdeg gakveTilze maswavlebeli gaimeorebs savarjiSos oris mimateba-gamoklebiT.

Semdegi samuSao sruldeba wyvilebSi:

maswavlebeli TiTo merxze debs TiTo muyaos kolofs da mimarTavs moswavleebs:

_ vinc merxze Cemgan marjvniv zis, dados win oTxi lurji Cxiri.

_ vinc marcxniv _ sami lurji Cxiri.

_ CadeT kolofSi oTxi lurji Cxiri.

_ axla daamateT sami mwvane Cxiri.


_ amoiReT Cxirebi kolofidan da isev gainawileT.

_ CadeT kolofSi sami mwvane Cxiri.

_ axla daamateT oTxi lurji Cxiri.

_ sul ramdeni Cxiria kolofSi?

_ ras amCnevT?

_ e. i. ara aqvs mniSvneloba, jer lurj Cxirebs CavdebT kolofSi Tu mwvanes, orive SemTxvevaSi

kolofSi Cxirebis raodenoba iqneba Svidi.



_ TiToeuli naxatisaTvis CawereT ori toloba.




_ CawereT cariel ujrebSi `>~, `<~, an `=~.





wuTSesveneba

samuSao rveuli



103

_ gadaxazeT araswori tolobebi.

_ ratom aris es tolobebi araswori?



_ ra ricxvi CawereT pirvel cariel ujraSi?

_ ratom? da a. S.


_ SemoxazeT naxatis Sesabamisi tolobebi.

_ ratom SemoxazeT es tolobebi?

_ riT hgavs tolobebi erTmaneTs?

_ riT gansxvavdeba?

_ ratom?


_ gaagrZeleT.

_ ra wesiT aris ricxvebi Cawerili pirvel rigSi?

_ ra wesiT aris ricxvebi Cawerili meore rigSi?


moswavleebi SeZenil codnas: raodenobis gazrdis an Semcirebis dakavSireba Sekreba-gamoklebis

moqmedebebTan da SedegTan, saganTa gaerTianeba Tvisebrivi maxasiaTeblebis mixedviT da mocemuli

raodenobebiT Sekreba-gamoklebis Sesruleba, kanonzomierebis aRmoCena da gagrZeleba.

wuTSesveneba

samuSao rveuli

gakveTili # 82_83




saWiro masala: oTxi Tabaxis furceli, TiToeul furcelze weria eqvsi ricxvi.





gakveTilis msvleloba: maswavlebeli yofs klass eqvsmoswavlian jgufebad. TiTo jgufs urigebs TiTo Tabaxis fur-

cels da mimarTavs:

_ pirvelma jgufma gaadidos furcelze dawerili yvela ricxvi oriT.

_ meore jgufma Seamciros furcelze dawerili yvela ricxvi oriT.

_ mesame jgufma gaadidos furcelze dawerili yvela ricxvi erTiT.

_ meoTxe jgufma Seamciros furcelze dawerili yvela ricxvi erTiT.

jgufSi TiTo moswavle asrulebs TiTo savarjiSos.

samuSaos dasrulebis Semdeg yvela jgufi waradgens namuSevars.

104

savarjiSo saSualebas aZlevs maswavlebels, Seamowmos, ramdenad kargad akavSireben moswav-

leebi raodenobis gazrdas an Semcirebas SedegTan. xels uwyobs problemis gadaWris, namuSevris

wardgenis, argumentaciis unar-Cvevevbis gamomuSavebas.




_ naZvebis raodenoba gaadideT samiT.

_ naZvebis raodenoba SeamcireT samiT.


_ mocemuli ricxvebi SeamcireT 2-iT da CawereT.

_ mocemuli ricxvebi gaadideT 2-iT da CawereT.




_ gaagrZeleT.

wuTSesveneba

samuSao rveuli





_ gaaferadeT saxli figurebis ferebis Sesabamisad.


_ gamoiangariSeT.


moswavleebi SeZenil codnas: raodenobis gazrdis an Semcirebis dakavSireba Sekreba-gamoklebis

moqmedebebTan da SedegTan, mocemuli raodenobebiT Sekreba-gamoklebis Sesruleba, kanonzomi-

erebis aRmoCena da gagrZeleba, ori ricxviTi gamosaxulebis Sedegebis Sedareba, geometriuli

figurebis amocnoba, ricxvebze Sesabamisi moqmedebebis Sesruleba.

wuTSesveneba

samuSao rveuli

105

gakveTili # 83_84


gakveTilis mizani: maswavleblisTvis xelis Sewyoba, Seamowmos da Seafasos. ramdenad sworad






saWiro masala: baraTebi ricxvebiT.

gakveTilis msvleloba:maswavlebeli yofs klass rigebad. urigebs baraTebs ricxvebiT da mimarTavs:

_ warmovidginoT, Tqven yvelani Tevzebi xarT da Tevzebis skolaSi swavlobT. Tevzebs

laparaki ar SeuZliaT, amitom Tqvenc Cumad unda iyoT, pasuxi baraTebis saSualebiT unda gamceT.

_ movawyoT Sejibri. gamarjvebulia rigi, romelic yvelaze met swor pasuxs maCvenebs.

_ 5_1, 8_3 da a. S.


Semdeg gakveTilze maswavlebeli wers ricxvebs da xatavs saxlebs. yvela saxlis saxuravSi

Cawerilia ricxvi cxra. moswavleebma unda gaanawilon ricxvebi saxlebSi:

0, 1, 2, 3, 4, 5, 6, 7, 8, 9 da a. S.



_ romel kalaTSia meti/naklebi vaSli? ramdeniT?

_ daadgineT ori xerxiT.




_ SeadgineT tolobebi ricxvebiT.

wuTSesveneba

samuSao rveuli




_ ramdeniT?

_ daadgineT ori xerxiT.

1 8

9

106




_ SemoxazeT mimdevrobis gagrZelebis swori varianti.


_ gaamTlianeT yvelaze mokle gza Txilamde.


moswavleebi SeZenil codnas: daadginon raodenobebs Soris damokidebuleba, daakavSiron `-iT

metoba~, `-iT nakleboba~ Sekreba-gamoklebis moqmedebebTan, dadginon mimdevrobaSi kanonzomie-

reba da gaagrZelon, Seasrulon ricxvebze Sesabamisi moqmedebebi.

wuTSesveneba

samuSao rveuli

***

mesame TavSi ganxiluli masalis Seswavlis Sedegad moswavles SeuZlia erTniSna ricxvebis farglebSi:

• ricxvebze Sesabamisi moqmedebebis Sesruleba.

• mocemuli ricxvis wina da momdevno ricxvis dasaxeleba.

• Sekreba-gamoklebis Sesrulebisas sawyisi raodenobis SedegTan Sedareba (mimatebisas raodenoba

izrdeba, gamoklebisas ki _ mcirdeba).

• daakavSiros `-iT~ metoba/nakleboba Sekreba-gamoklebis moqmedebebTan.

• saganTa jgufebSi raodenobebis dawyvilebiT Sedarebisas Sesabamisi terminebisa da aRniSvnebis

gamoyeneba da gansxvavebis gansazRvra.

• ricxvebis gamoyeneba sagnis rigisa da nomris aRsaniSnavad.

• dasaxelebuli geometriuli figuris aRwera.

• miTiTebuli geometriuli figuris amocnoba.

• mimdevrobaSi kanonzomierebis dadgena da gagrZeleba.

gakveTilebze Catarebuli individualuri, wyvilSi da jgufuri savarjiSoebi safuZvels uyris:

saazrovno (problemis gadaWris, ariTmetikuli moqmedebebis sworad gamoyeneba, Sefaseba,

Sedareba), sakomunikacio (mosmena, argumentacia, Sesabamisi terminebis sworad gamoyeneba, namu-

Sevris wardgena) unar-Cvevebis gamomuSavebas.

107

IV Tavis Sinaarsi

1. erTi aTeuli.

2. ricxvebze moqmedebebi aTis farglebSi.



am TavSi warmodgenili gakveTilebis mizania moswavleTa momzadeba Tema òrniSna ricxvebi~

Sesaswavlad.

moswavleTa yuradReba gamaxvilebulia erT aTeulze. sagnebze manipulaciebis saSualebiT

isini ecnobian, Tu rogor SeiZleba ricxv aTis daSla sxvadasxvanairad, saganTa jgufebis dayofa

aTeulebad, aseve Sekreba-gamoklebis urTierTSebrunebulobas.

moswavleebi ecnobian, Tu rogor SeiZleba erTi Sesakrebis meorisaTvis mimateba Sesakrebis

daSlis gziT, terminebs: `Sesakrebi~ da `jami~; ra aris amocana, swavloben imis garCevas, ra aris

amocanis piroba, kiTxva, amoxsna, pasuxi.

moswavleebi akvirdebian sagnebs TavianT garSemo da maTSi geometriul figurebs amoicnoben.

am TavisaTvis daTmobili drois ganmavlobaSi xdeba ukve Seswavlili masalis gameoreba,

ganmtkiceba (maswavlebels garda saxelmZRvaneloSi miwodebuli savarjiSoebisa SeuZlia

Sesaswavlili masalis gasameoreblad gamoiyenos ukve miwodebuli xerxebi, mag.: daasaxeleT

ricxvebi erTidan cxramde; daasaxeleT xuTis wina da momdevno ricxvebi da a. S.).

samuSao rveulSi warmodgenili savarjiSoebi maswavlebels SeuZlia gamoiyenos Tavisi Sexedu-

lebisamebr rogorc klasSi samuSaod, ise saSinao davalebisa da damoukidebeli muSaobisaTvis.

gakveTili # 86-87

saswavlomiznebi


droisganawileba

resursebi Semowmeba

moswavlem iswav-

los ricxv 10-is

gamoyeneba saganTa

Sesabamisi raode-

nobis aRsa-

niSnavad. gaecnos,

Tu ra aris erTi

aTeuli. saazrovno

unar-Cvevebis

gamomuSaveba.

jgufuri

individualuri

1) 10 wT.

2) 20 wT.

3) 5 wT.

wuTSesveneba 3 wT.

Tabaxis

furclebi,

saTvleli

Cxirebi.

savarjiSo

# 2


1) aqtiuri

savarjiSo.

2) saxelmZRva-

neloze

muSaoba.

3) samuSao

rveuli.

gakveTili # 86-87

gakveTilis Tema: ricxvebze moqmedebebi aTis farglebSi.


aRsaniSnavad. gaecnos, Tu ra aris erTi aTeuli. saazrovno unar-Cvevebis gamomuSaveba.

saWiro masala: Tabaxis furclebi, saTvleli Cxirebi.





108

gakveTilis msvleloba:maswavlebeli klass yofs oTxmoswavlian jgufebad da urigebs maT Tabaxis furclebs, sadac

weria savarjiSoebi, mag.: 3+4; 5+1; 6_4 da a. S. da bolos yvela furcelze weria 9+1.

maswavlebeli:

_ gamoiangariSeT furcelze dawerili savarjiSoebi.



_ romeli savarjiSo iyo TqvenTvis axali?

_ ratom?

_ rogor mivumatoT cxras erTi?

maswavlebeli:

_ dadeT merxze cxra Cxiri, daumateT erTi Cxiri. cxra Cxiri da kidev erTi Cxiri iqneba aTi Cxiri.

wers dafaze: 9+1=10.

_ es aris ricxvi aTi.

_ aTi sagani erTad aris erTi aTeuli.

_ riT gansxvavdeba ricxvi aTi adre Seswavlili ricxvebisagan?

_ cxra metia/naklebia Tu aTi? (Sedareba Cxirebis saSualebiT)

_ ratom?

_ rogor miviReT aTi?

_ ramdeniT metia aTi cxraze?

_ rogor daadgineT?

savarjiSos saSualebiT xdeba rogorc Seswavlili masalis gameoreba, aseve Cveneba, Tu rogor

miiReba ricxvi aTi da ra aris erTi aTeuli.

savarjiSo xels uwyobs TanamSromlobis, saazrovno (Sesabamisi ariTmetikuli moqmedebebis

Sesruleba, problemis gadaWra, Sedareba Sefaseba), sakomunikacio (argumentacia, mosmena) unar-

Cvevebis gamomuSavebas.

Semdeg gakveTilze maswavlebels SeuZlia aTeulebad dayos moswavleebi.


_ ramdeni keglia?

_ ramdeni wertilia dominos koWze?

_ ra ricxvi weria?


_ ramdeni ZaRlia?

_ ramdeni masxaraa?

_ ramdeni qudi axuravT ZaRlebs?


_ Caxate sagnebis raodenobis Sesabamisi raodenobis wertilebi.


_ CawereT cariel ujrebSi sagnebis raodenobis Sesabamisi ricxvebi.

wuTSesveneba

samuSao rveuli

109


_ CawereT cariel ujrebSi sagnebis raodenobis Sesabamisi ricxvebi.

_ ra ricxvi CawereT pirvel ujraSi? da a.S.



_ daakvirdiT ricxvebs da gaferadebul ujrebs.

_ ras amCnevT?

_ e. i. yoveli momdevno ricxvi erTiT metia wina ricxvze da yoveli wina ricxvi momdevno

ricxvze erTiT naklebia.

_ romelia yvelaze maRali gaferadebuli sveti? ratom?



_ gamoiyeneT wina savarjiSo.


mocemuli savarjiSoebis mizania, moswavlebma Seusabamon ricxvi aTi saganTa raodenobas da

piriqiT, daadginon, nulidan aTamde ricxvTa mimdevrobaSi romelia meti/naklebi.

wuTSesveneba

samuSao rveuli

damatebiTi savarjiSoebi

4 + [] = 6 [] + 2= 6 9 _ [] = 5 [] _ 4 = 5

4 + [] = 8 [] + 4= 8 6 _ [] = 4 [] _ 2 = 4

2 + [] = 7 [] + 5= 7 7 _ [] = 2 [] _ 5 = 2

5 + [] = 9 [] + 4= 9 8 _ [] = 4 [] _ 4 = 4

3 + 1 * 4 _ 1 2 + 2 * 3 + 1 9 _ 1 * 9 _ 2

2 _ 1 * 1 + 1 5 + 1 * 5 _ 1 8 + 1 * 8 _ 1

5 + 2 * 7 _ 0 7 + 1 * 7 + 2 6 + 1 * 8 _ 1

gakveTili # 88-89


gakveTilis mizani: moswavle gaecnos ricxv aTis Sedgenilobas, gaecnos terminebs: Sesakrebi da jami.

saWiro masala: asanTis kolofebi, kolofebis raodenoba merxebis raodenobis mixedviT.





gakveTilis msvleloba:samuSao sruldeba wyvilebSi.

110

maswavlebeli TiTo merxze asanTis TiTo kolofs debs da mimarTavs klass:

_ asanTis Rerebi kolofidan amoiReT da daalageT aTeulebad.

_ axla TiToeuli aTeuli daSaleT or nawilad sxvadasxvanairad.

samuSaos dasrulebis Semdeg maswavlebeli TiToeul wyvils ekiTxeba, Tu rogor warmoadgina

aTeulebi sxvadasxvagvarad. Tu romelime wyvilma ver SeZlo samuSaos Sesruleba, maswavlebeli

exmareba maT. Semdeg Sedegebs wers dafaze, moswavleebi weren rveulebSi.

savarjiSos saSualebiT moswavleebi ecnobian ricxv aTis Sedgenilobas.


_ gamoiangariSeT.

_ ramdeni pingvini dgas?

_ ramdeni pingvini modis?

_ sul ramdeni pingvinia?


_ gamoiangariSeT.



wuTSesveneba

samuSao rveuli


_ CawereT ujrebSi ricxvebi zrdis mixedviT.


_ gamoiangariSeT.

_ waikiTxeT pirveli toloba.

_ Svidi da erTi Sesakrebebia, xolo Sedegi aris jami.

_ waikiTxeT meore toloba.

_ romelia Sesakrebebi?

_ romelia jami? da a. S.


_ vis ufro meti TeTri aqvs?

_ vis ufro meti moneta aqvs?

savarjiSos mizania, moswavlem SeZlos fulis erTeulis amocnoba.


_ CaxateT gamotovebuli figurebi.

_ romeli figuraa gamotovebuli?

wuTSesveneba

samuSao rveuli

111


10 _ 1; 10 _ 4; 10 _ 5; 10 _ 6;

7 _ 5; 9 _ 1; 4 _ 2; 2 _ 1;

8 _ 6; 8 _ 2; 5 _ 3; 10 _ 7;

10 _ 3; 3 _ 3; 3 _ 1; 2 _ 2.

10 * 9 10 * 6 5 * 4 6 * 4

1 * 2 0 * 1 3 * 2 10 * 5

4 * 5 2 * 3 9 * 8 8 * 7

gakveTili # 90-91


gakveTilis mizani: moswavle gaecnos, ra aris amocana, SeZlos, ganasxvaos àmocanis piroba~ da

`kiTxva~.

saWiro masala: muyaos 15 furceli.

saWiro dro:





gakveTilis msvleloba:maswavlebeli dafas yofs sam nawilad, nomravs TiToeul nawils (1,2,3), wers savarjiSoebs:

1. 2. 3.

5+1= 7+2= 9+1=

3+2= 5+5= 10_2

10_1= 10_3= 6+2=

4+3= 8+1= 4+6=

10_2= 10+0= 10_4=

da sTavazobs moswavleebs rigebs Soris Sejibrs:

TiToeuli rigis pirvel merxze gadabrunebulad awyobs muyaos furclebs, romlebzec weria

Sesabamisi rigis savarjiSoebis pasuxebi (ise, rom bavSvebi pasuxebs ver xedaven) da mimarTavs

klass:

_ rigebSi pirvelma wyvilebma unda moZebnon pirveli savarjiSoebis pasuxebi, meore wyvilebma

meore savarjoSoebis pasuxebi da a. S. gamarjvebulia rigi, romelic swrafad da sworad Seasrulebs

samuSaos.

savarjiSos mizania Seswavlili masalis gameoreba, aseve zepiri angariSisa da gadawyvetilebis

swrafad miRebis unar-Cvevis gamomuSaveba.

maswavlebeli wers dafaze:

_ nias hqonda xuTi fanqari, giam aCuqa erTi fanqari. ramdeni fanqari aqvs axla nias?

mimarTavs klass:

_ es aris amocana.

_ amocana Sedgeba ramdenime nawilisagan:

_ mas aqvs piroba: nias hqonda xuTi fanqari, giam aCuqa erTi fanqari. e. i. rac viciT, is aris

amocanis piroba.

_ da aqvs kiTxva: ramdeni fanqari aqvs axla nias? e. i. rac ar viciT, is aris amocanis kiTxva.

_ amocanis kiTxvas aucileblad unda gaeces pasuxi. amocanis kiTxvaze pasuxis gacemas hqvia

amocanis amoxsna.

_ rogor amoixsneba Cveni amocana? 5+1=6.

112

_ amocanis amoxsnisas Cawerili tolobis marcxena nawili gamoxatavs amocanis pirobas: nias

hqonda xuTi fanqari, giam aCuqa erTi fanqari. xolo marjvena nawili _ amocanis kiTxvaze pasuxs:

nias axla eqvsi fanqari aqvs.

_ Cven amovxseniT amocana da miviReT amocanis pasuxi: nias eqvsi fanqari aqvs.

_ gamodis, rom amocana Sedgeba ori ZiriTadi nawilisagan: amocanis piroba da amocanis kiTxva,

aseve amocana aucileblad unda amoixsnas da Caiweros pasuxi.

maswavlebels mohyavs amocanis ramdenime magaliTi.

Semdeg mimarTavs moswavleebs:

_ SeecadeT, Tqven TviTon moifiqroT amocanebi. moswavleebis mier SemoTavazebul amocanebSi

maswavlebeli yuradRebas amaxvilebs amocanis Semadgenel nawilebze.

saxelmZRvaneloze muSaobasavarjiSo # 1, # 2.maswavlebeli:

_ amoxseniT amocana.

_ romelia amocanis piroba?

_ romelia amocanis kiTxva?

_ ra pasuxi unda gaeces amocanas?


_ SeavseT naxatebi aTamde.

_ CawereT cariel ujraSi Sesabamisi ricxvi.

_ daasaxeleT saWiro damatebiTi raodenoba.

wuTSesveneba

samuSao rveuli


_ gamoiangariSeT.





_ ra pasuxi unda gaeces amocanas?



_ ras amCnevT?


_ daasaxeleT: 3-ze meti, 10-ze naklebi ricxvebi. 5-ze meti, 8-ze naklebi ricxvebi.

wuTSesveneba

samuSao rveuli


a) tbaze 2 TeTri da 3 nacrisferi ixvi curavs. sul ramdeni ixvi curavs tbaze?

113

b) or rveuls rom davumatoT oTxi rveuli, ramdeni rveuli gaxdeba?

g) nanam 5 kanfeti iyida, aqedan ori megobars misca. ramdeni kanfeti darCa nanas?

d) ezoSi TamaSobs 4 biWi da 2 gogona. sul ramdeni bavSvi TamaSobs ezoSi?

gakveTili # 92-93


gakveTilis mizani: moswavles gamoumuSavdes amocanis amoxsnis unar-Cveva.

saWiro masala: muyaosagan gamoWrili erTi-, ori- da xuTTeTrianebi. ramdenime fanqari, saSleli

da rveuli.





gakveTilis msvleloba:maswavlebeli klass yofs oTxmoswavlian jgufebad, urigebs jgufebs qaRaldis fuls ise,

rom saerTo Tanxa aT TeTrs ar aRematebodes da mimarTavs klass:

_ dRes nias dabadebis dRea da Tqven SegiZliaT, mas saCuqrebi uyidoT.

_ CemTan iyideba fanqrebi, saSlelebi da rveulebi.

_ erTi cali fanqari ori TeTri Rirs.

_ erTi cali saSleli _ sami TeTri.

_ erTi cali rveuli _ oTxi TeTri.

_ TiToeulma jgufma daTvalos sakuTari Tanxa da moifiqros ras uyidis nias saCuqrad.

savarjiSos mizania miRebuli codnis praqtikulad gamoyenebis da zepiri angariSis unar-

Cvevis gamomuSavba.

maswavlebels SeuZlia savarjiSo gaimeoros Semdeg gakveTilze.

saxelmZRvaneloze muSaobasavarjiSo # 1 da savarjiSo # 2maswavlebeli:




_ rogor amoxseniT?

_ ratom?

_ ra aris amocanis pasuxi?



_ ra ricxvi CawereT pirvel ujraSi? ratom?

_ e. i. aTs unda gamovakloT oTxi, rom miviRoT eqvsi da a. S.


_ SeadgineT amocanebi naxatebis mixedviT.

Tu moswavleebs gauWirdebaT amocanebis Sedgena, maswavlebeli exmareba maT:

_ ramdeni Tojina aqvs nias?

_ ramdeni Tojina moutana mamam?

_ axla ramdeni Tojina aqvs axla nias? da a. S.

114

mocemuli savarjiSoebis mizania moswavles gamoumuSavdes amocanis amoxsnis unar-Cveva.

wuTSesveneba

samuSao rveuli


_ CawereT cariel ujrebSi Sesabamisi ricxvebi ise, rom Canaweri swori iyos.


_ ratom?

_ kidev ra ricxvebis Cawera SeiZleba?

_ ratom?


_ gadaxazeT tolobebi, romlebic ar Seesabameba naxats.

_ romeli tolobebi gadaxazeT?

_ ratom?


_ gamoiangariSeT.


_ amoarCieT figura, romliTac unda gagrZeldes rigi da SemoxazeT.

_ romeli figura amoarCieT?

_ ratom?

wuTSesveneba

samuSao rveuli

gakveTili # 94-95


gakveTilis mizani: moswavlem SeZlos Tavis garSemo arsebul sagnebSi geometriuli figurebis

amocnoba.

saWiro masala: Tabaxis furclebi, makrateli, webo, saTvleli Cxirebi.





gakveTilis msvleloba:samuSao sruldeba individualurad. maswavlebeli urigebs moswavleebs Tabaxis furclebs

da mimarTavs klass:

_ gamoWeriT samuSao rveulSi mocemuli figurebi da aawyveT Tabaxis furcelze nimuSebis

mixedviT. samuSaos dasrulebis Semdeg TiToeuli moswavle waradgens Tavis namuSevars.

115


_ daakvirdiT naxats. daasaxeleT, romel geometriul figurebs xedav?

_ romel sagans aqvs wris forma?

_ romel sagans aqvs samkuTxedis forma?

_ romel sagans aqvs oTxkuTxedis forma?

_ rogori niSani dgas gadasasvlelTan?

_ rogor moiqceviT, Tu SuqniSnis wiTeli wre ainTeba?

_ rogor moiqceviT, Tu SuqniSnis yviTeli wre ainTeba?

_ rogor moiqceviT, Tu SuqniSnis mwvane wre ainTeba?

savarjiSos saSualebiT moswavle realurad arsebuli sagnebidan amoicnobs gaometriul

figurebs, aseve adgens kavSirs (mag., niSani gadasasvleli _ oTxkuTxedSi Caxatuli TeTri

samkuTxedi, SuqniSnis wiTeli wre _ gadasvla ar SeiZleba, mwvane wre _ gadasvla SeiZleba da a. S.).

wuTSesveneba

samuSao rveuli


_ aawyveT CxirebiT suraTze mocemuli figura.

_ aiReT sami Reri ise, rom darCes erTi oTxkuTxedi.


_ aawyveT CxirebiT suraTze mocemuli figura.

_ gadaaadgileT ori Reri ise, rom miiRoT sami samkuTxedi.


_ CaxateT cariel ujraSi gamotovebuli figura.

_ romeli figura CaxateT?

_ ratom?

_ CawereT cariel ujraSi gamotovebuli ricxvi.

_ romeli ricxvi CawereT?

_ ratom?

wuTSesveneba

samuSao rveuli


a) SeadgineT Svidi Cxirisagan oTxkuTxedi da samkuTxedi.

b) SeadgineT cxra Cxirisagan sami samkuTxedi.

g) gadasasvlelze Svidi bavSvi idga. rodesac mwvane Suqi ainTo, ori bavSvi gadavida meore

mxares. ramdeni bavSvi darCa gadasasvlelze?

d)

9 _ [] = 5 7 _ [] = 4 10 _ [] = 4 3 _ [] = 2

4 + [] = 9 3 + [] = 7 6 + [] = 10 1 + [] = 3

8 _ [] = 6 5 _ [] = 4 8 _ [] = 5 10 _ [] = 3

2 + [] = 8 1 + [] = 5 3 + [] = 8 3 + [] = 10

e) quCaSi 5 avtomobili moZraobda. SuqniSanze wiTeli Suqi ainTo. ramdeni manqana gaCerda?

116

gakveTili # 96-97


gakveTilis mizani: moswavle gaecnos Sekreba-gamoklebis urTierTSebrunebulobas. amocanis

amoxsnis unar-Cvevis gamomuSaveba.

saWiro masala: formatze daxatuli ori xe, qaRaldisagan gamoWrili cxra vaSli, (maswavlebeli

iyenebs adre damzadebul masalas), Wikartebi.





gakveTilis msvleloba:maswavlebeli kidebs formats, WikartebiT amagrebs erT xeze xuT vaSls, meoreze _ oTxs da

mimarTavs klass:

_ marjvena xeze oTxi vaSlia, marcxenaze ki _ xuTi.

_ ramdeni vaSlia orive xeze erTad?


_ amocanis kiTxva?


moswavlebi weren amocanis amoxsnas rveulebSi.

maswavlebeli:

_ rogor amoxseniT amocana?

SesaZlebelia, zogma moswavlem Tqvas 4+5=9, xolo zogma _ 5+4=9. maswavlebeli orive

tolobas wers dafaze.

_ romeli toloba Seesabameba amocanis amoxsnas?

_ amocana SeiZleba ornairad amovxsnaT:

_ marjvena xeze vaSlebis raodenobas davumatoT marcxena xeze vaSlebis raodenoba da

piriqiT, amiT Sedegi ar icvleba.

_ ra Seicvala?

_ ra ar Seicvala?

_ e. i. SesakrebTa gadanacvlebiT jami ar icvleba.

_ axla amoxseniT aseTi amocana:

_ nias cxra vaSli aqvs, xuTi vaSli gias misca. ramdeni vaSli darCa nias?

maswavlebeli xsnis xidan xuT vaSls da TviTonac wers dafaze: 9_5=4.

Semdeg isev amagrebs xuT vaSls xeze. maswavlebeli:

_ ninos cxra vaSli aqvs, oTxi vaSli daTos misca. ramdeni vaSli darCa ninos?

_ amoxseniT.

maswavlebeli xsnis oTx vaSls xidan da wers dafaze: 9_4=5.

_ daakvirdiT Tqven mier daweris tolobebs, ras amCnevT?

maswavlebeli aZlevs moswavleebs mofiqrebis saSualebas, Semdeg exmareba maT:

_ mocemuli Sesakrebebi SeiZleba nebismieri TanmimdevrobiT SevkriboT, amiT jami ar

Seicvleba (miuTiTebs Sesabamis tolobebze).

_ xolo Tu jams gamovaklebT erT-erT Sesakrebs, miviRebT meore Sesakrebs (miuTiTebs

Sesabamis tolobebze).

savarjiSos mizania Sekreba-gamoklebis moqmedebaTa urTierTSebrunebulobis Cveneba, aseve

amocanis amoxsnis unar-Cvevis gamomuSaveba.


_ CawereT tolobebi naxatebis mixedviT.

117

_ daakvirdiT tolobebs.

_ ras amCnevT?

_ e. i. jams rom gamovakloT erT-erTi Sesakrebi, darCeba meore Sesakrebi.



_ ras amCnevT?



_ ras amCnevT?

wuTSesveneba

samuSao rveuli


_ gamoiangariSeT.

_ ras amCnevT?



_ ras amCnevT?

_ gamoiangariSeT.


_ gamoiangariSeT.

_ daakvirdiT tolobebs, ras amCnevT?

_ e. i. nebismieri savarjiSos Sedegia Semdegi savarjiSos pirveli wevri.

savarjiSo xels uwyobs dakvirvebisa da daskvnis gakeTebis unar-Cvevis gamomuSavebas.

wuTSesveneba

samuSao rveuli


5 + 1 * 6 _ 1 2 + 2 * 4 _ 2 3 + 4 * 7 _ 4

4 + 2 * 6 _ 2 3 + 1 * 4 _ 1 2 + 5 * 7 _ 5

9 + 1 * 10 _ 1 6 + 3 * 9 _ 3 5 + 3 * 8 _ 3

8 + 2 * 10 _ 2 7 + 2 * 9 _ 2 6 + 2 * 8 _ 2

1 + 3; 5 + 3; 1 + 2; 4 + 2; 4 + 3;

2 + 3; 6 + 3; 2 + 2; 5 + 2; 8 + 2;

3 + 3; 7 + 3; 3 + 2; 6 + 2; 7 + 2;

118

gakveTili # 98-99


gakveTilis mizani: moswavlem SeZlos Sekreba-gamoklebis moqmedebaTa urTierTSebrune-

bulobis demonstrireba modelis daxmarebiT.

saWiro masala: moswavleebis mier damzadebuli wiTeli da yviTeli feris droSebi, Tabaxis furclebi.

saWiro dro:





gakveTilis msvleloba:maswavlebeli klass yofs oTxmoswavlian jgufebad, urigebs jgufebs TiTo Tabaxis furcels

da sxvadasxva raodenobis droSebs:

I jgufs _ oTx wiTel da eqvs yviTel droSas.

II jgufs _ xuT wiTel da sam yviTel droSas da a. S. mimarTavs klass:

_ droSebis raodenobis mixedviT SeadgineT ori toloba Sekrebaze da ori toloba gamoklebaze.

Tu moswavleebs gauWirdebaT samuSaos Sesruleba, maswavlebeli kiTxvebiT exmareba maT:

_ ramdeni wiTeli droSa gaqvT?

_ ramdeni yviTeli droSa gaqvT?

_ sul ramdeni droSa gaqvT? da a. S.

samuSaos dasrulebis Semdeg TiToeuli jgufi waradgens Tavis namuSevars.

maswavlebeli exmareba TiToeul jgufs daskvnis gakeTebaSi da sTxovs, droSebis saSualebiT

aCvenon, Tu rogor Caweres tolobebi.

savarjiSos saSualebiT moswavle axdens Sekreba-gamoklebis urTierTSebrunebulobis demonstrirebas.

Semdeg gakveTilze maswavlebeli dafaze wers ricxvebs:

3, 2 da 5; 4, 3 da 7; 6, 4 da 10. mimarTavs klass:

_ mocemuli ricxvebis TiToeuli jgufisaTvis SeadgineT oTxi toloba.

samuSaos damTavrebis Semdeg maswavlebeli amowmebs Sesrulebul davalebas da exmareba

moswavlebs daskvnebis gakeTebaSi.



_ kidev rogor SeiZleba amoxsna?

_ e. i. ara aqvs mniSvneloba, 4+6 Tu 6+4, amiT Sedegi ar Seicvleba.




_ ratom?


_ SemoxazeT aTeulebad.

_ CawereT ujraSi, ramdeni aTeulia.



119


_ ratom?

wuTSesveneba

samuSao rveuli



_ daakvirdiT tolobebs.

_ ras amCnevT?


_ CawereT cariel ujrebSi `<~ an `>~.

_ daakvirdiT savarjiSoebs.

_ ras amCnevT?

_ e. i. erTsa da imave ricxvs rac ufro did ricxvs gamovaklebT, Sedegi ufro naklebi iqneba

da erTsa da imave ricxvs rac ufro did ricxvs davumatebT, Sedegi ufro meti iqneba.




_ ratom?


_ SemoxazeT ricxvebi nimuSis mixedviT.

_ romeli ricxvebi SemoxazeT?

_ ratom?



_ ra feri iqneba Semdegi?

_ ratom?

wuTSesveneba

samuSao rveuli

gakveTili # 100-101




saWiro masala: sxvadasxva sagnebi: fanqrebi, flomasterebi, buStebi, Zveli saTamaSoebi da a. S.

muyaosgan gamoWrili 1-, 2-, 5-, 10-TeTrianebi.

gakveTilis msvleloba:samuSao sruldeba wyvilebSi. maswavlebeli urigebs TiToeul wyvils `fuls~ (wyvilis

120

saerTo Tanxa ar unda aRematebodes aT TeTrs), dafaze wers TiToeuli sagnis fass (mag.,

flomasteri _ 2 TeTri), magidaze awyobs sxvadasxva sagnebs da mimarTavs klass:

_ dRes Cven viTamaSebT `maRaziobanas~.

_ TiToeulma wyvilma moifiqros da gadawyvitos, ra nivTebis SeZena unda da SeuZlia

sakuTari TanxiT. mogebulia wyvili, romelic SeZlebs Tanxis srulad daxarjvas.

savarjiSos mizania TanamSromlobis, zepiri angariSisa da miRebuli codnis praqtikuli

gamoyenebis unar-Cvevis gamomuSaveba.

Semdeg gakveTilze maswavlebels SeuZlia Caataros igive savarjiSo sxva sagnebiT.


_ SemoxazeT aTeulebad.

_ CawereT ujraSi aTeulebis raodenoba.





_ rogor amoxseniT?

_ ratom?


_ gamoiangariSeT.

wuTSesveneba

samuSao rveuli



_ rogor amoxseniT?

_ ratom?


_ CawereT cariel ujrebSi gamotovebuli ricxvebi.


_ daakavSireT Canaweri Sesabamis ricxvTan nimuSis mixedviT.

savarjiSo 4maswavlebeli:

_ SeavseT cxrili.

_ waikiTxeT.

_ romelia I Sesakrebi?

_ romelia II Sesakrebi?

_ ra iqneba jami?

maswavlebeli kiTxulobs nimuSs.

121


_ gaaferadeT varsklavebi mocemuli samive feris gamoyenebiT sxvadasxvanairad.


SeZenil codnas: gamoyofen aTeuls grovaSi, aerTianeben sagnebs Tvisebrivi maxasiaTeblebis mixedviT

da weren Sesabamis tolobebs, SeuZliaT amocanis amoxsna, sworad asruleben ariTmetikul moqmedebebs,

gansazRvraven miTiTebul ricxvamde Sesavsebad saWiro ricxvs, akavSireben gamosaxulebas mniSvnelobis

ariTmetikuli moqmedebis SedegTan, CanawerSi asaxeleben Sesakrebebs da jams.

wuTSesveneba

samuSao rveuli

gakveTili # 102_103


gakveTilis mizani: moswavlem SeZlos ricxv oris warmodgena ori Sesakrebis jamis saxiT.

saazrovno unar-Cveebis gamomuSaveba.

saWiro masala: Cxirebi.






_ aiReT marjvena xeliT ori Cxiri.

_ gadainawileT Cxirebi or xelSi.

_ TiTo xelSi gaqvT TiTo Cxiri.

_ sul ramdeni Cxiri gaqvT? e. i. ricxvi ori SeiZleba warmovadginoT, rogorc erTisa da erTis

jami.

_ dadeT calke ori Cxiri, aiReT xuTi Cxiri da miumateT ori Cxiri.

_ rogor miumateT?

_ kidev rogor SeiZleba xuT Cxirs mivumatoT ori Cxiri?

maswavlebeli aZlevs moswavleebs mofiqrebis saSualebas, ismens maT mosazrebebs da Semdeg

exmareba:

_ xuT Cxirs SeiZleba mivumatoT jer erTi Cxiri da Semdeg kidev erTi.

_ e. i. ricxv oris mimateba SeiZleba asec: jer vumatebT erTs da Semdeg kidev erTs.

Semdeg maswavlebeli analogiurad aCvenebs ricxv oris gamoklebas.

momdevno gakveTilze savarjiSoebi Sesruldeba Sesabamisi tolobebis CaweriT.

savarjiSos mizania, moswavlem SeZlos ricxv oris warmodgena ori Sesakrebis jamis saxiT

da Semdeg ricxvebze moqmedebebis Sesruleba.


_ daakvirdiT ricxviT mwkrivs.

_ ras amCnevT?

_ e.i. yoveli momdevno ricxvi miiReba wina ricxvze erTis damatebiT.

122


_ gamoiangariSeT.

_ waikiTxeT tolobebi.

_ ra xerxiT aris mimateba Sesrulebuli?

_ ra xerxiT aris gamokleba Sesrulebuli?

_ e. i. ricxvi ori warmodgenilia, rogorc ori Sesakrebi: 1 + 1.



_ rogor amoxseniT?

_ ratom?

_ kidev rogor SeiZleba amocanis amoxsna?



_ rogor amoxseniT?

_ ratom?


_ riT hgavs es ori amocana erTmaneTs?

_ riT gansxvavdeba?


_ gamoiangariSeT.

wuTSesveneba

samuSao rveuli


_ CawereT cariel ujraSi `>~, `<~ an `=~ niSnebi.



_ rogor amoxseniT?

_ ratom?




_ rogor amoxseniT?

_ ratom?


_ riT hgavs es ori amocana erTmaneTs?

_ riT gansxvavdeba?


_ SeadgineT tolobebi naxatis mixedviT.

_ vis ufro meti/naklebi TeTri aqvs?

123

savarjiSoebis mizania, moswavleebma iswavlon ricxv oris warmodgena ori Sesakrebis jamis

saxiT da Sesabamisi moqmedebebis Sesruleba.


_ gaagrZeleT.

gakveTili # 104_105

gakveTilis Tema: ricxv samis warmodgena ori Sesakrebis jamis saxiT.

gakveTilis mizani: moswavlem SeZlos ricxv samis warmodgena ori Sesakrebis jamis saxiT.


saWiro masala: muyaos oTxkuTxedebis kompleqti: xuTi wiTeli, erTi lurji, ori mwvane

(komleqtebis raodenoba merxebis raodenobis mixedviT), Tabaxis furclebi.




4) samuSao rveuli _ 5 wT

gakveTilis msvleloba:samuSao sruldeba wyvilebSi. maswavlebeli debs TiTo merxze muyaos oTxkuTxedebis TiTo

kompleqts, TiTo Tabaxis furcels da mimarTavs wyvilebs:

_ gaaerTianeT figurebi saerTo niSnis mixedviT.


maswavlebeli aZlevs moswavleebs mofiqrebis saSualebas, ismens maT mosazrebebs da wers

dafaze. Tu arc erT wyvils ar eqneba Cawerili toloba 5 +1 +2 = 8, Semdeg exmareba:

_ ramdeni wiTeli oTxkuTxedia? wers dafaze: 5

_ ramdeni lurji oTxkuTxedia? wers dafaze: 5 + 1

_ ramdeni mwvane oTxkuTxedia? wers dafaze; 5 + 1 + 2

_ sul ramdeni oTxkuTxedia? 5 + 1 + 2 = 8

_ daukvirdiT tolobas.

_ sul ramdeni mivumateT xuTs?

_ rogor mivumateT 5-s sami?

_ e. i. Cven samis warmodgena SegviZlia ori Sesakrebis jamis saxiT: 2 + 1 = 3.

Semdeg maswavlebeli avarjiSebs moswavleebs msgavsi savarjiSoebiT sagnebze (mag., Cxirebze) da

uxsnis TiToeul nabijs.

SesaZlebelia, romelime moswavlem Tqvas, rom sami SeiZleba warmovadginoT, rogorc 3 =1 + 1 + 1.

maswavlebeli uxsnis, rom es SesaZlebelia, magram Cven gvinda samis warmodgena ori Sesakrebis jamis

saxiT.

momaval gakveTilze maswavlebeli Caatarebs savarjiSoebs samis gamoklebaze.


_ gamoiangariSeT.

_ waikiTxeT tolobebi.

_ ra xerxiT aris mimateba Sesrulebuli?

_ ra xerxiT aris gamokleba Sesrulebuli?

_ e. i. sami warmodgenilia ori Sesakrebis jamis saxiT.


124

_ gamoiangariSeT.


_ CawereT cariel ujrebSi `>~, `<~ an `=~.


_ SeamcireT 1-iT mocemuli ricxvi da Sedegi CawereT qveda ujraSi.

_ gaadideT 1-iT mocemuli ricxvi da Sedegi CawereT qveda ujraSi.

wuTSesveneba

samuSao rveuli


_ gamoiangariSeT.



_ ras amCnevT?

savarjiSoebis mizania, moswavleebma iswavlon ricxv samis warmodgena ori Sesakrebis jamis

saxiT da Sesabamisi moqmedebebis Sesruleba.



wuTSesveneba

samuSao rveuli


1+1+1; 4+1+1; 7+1+1; 9_1_1; 6_1_1; 3_1_1;

2+1+1; 5+1+1; 8+1+1; 8_1_1; 5_1_1; 2_1_1;

3+1+1; 6+1+1; 10_1_1; 7_1_1; 4_1_1;

1+2+[]=4; 5+2+[]=8; 4+2+[]=7; 7_2_[]=4;

2+2+[]=5; 10_2_[]=7; 9_2_[]=6; 6_2_[]=3;

3+2+[]=6; 8_2_[]=5; 5_2_[]=2; 4_2_[]=1;

gakveTili # 106_107


gakveTilis mizani: moswavlem SeZlos ricxv oTxis warmodgena ori Sesakrebis jamis saxiT,

saazrovno da sakomunikacio unar-Cvevebis gamomuSaveba.




125



gakveTilis msvleloba:maswavlebeli wers dafaze:

yofs klass wyvilebad. TiTo wyvils urigebs TiTo Tabaxis furcels, sadac weria rame ricxvi

da mimarTavs maT:

_ erTad moifiqreT da dawereT, rogor SeiZleba furcelze daweril ricxvs mivumatoT oTxi

sxvadasxvanairad.

Tu moswavleebs gauWirdebaT samuSaos Sesruleba, maswavlebeli exmareba maT:

_ ra ricxvi weria furcelze?

_ SesaZlebelia eqvss mivumatoT jer ... (miuTiTebs dafaze Sesabamis Canawerze), xolo Semdeg ...

samuSaos dasrulebis Semdeg TiToeuli wyvili waradgens Tavis namuSevars.

Semdeg gakveTilze maswavlebeli Caatarebs samuSaos oTxis gamoklebaze.

savarjiSos saSualebiT moswavleebi axdenen ricxv oTxis daSlas ori Sesakrebis jamis saxiT.


_ gamoiangariSeT.



_ rogor miumateT erTs oTxi?

_ rogor gamoakeliT xuTs oTxi?



_ rogor amoxseniT?

_ ratom?

_kidev rogor SeiZleba am amocanis moxsna?


_ SeadareT.

wuTSesveneba

samuSao rveuli



_ gazardeT naxatebis raodenoba 2-iT.




4

1 3

4

2 2

126


_ CawereT cariel ujrebSi ricxvebi ise, rom Canaweri swori iyos.


_ daakavSireT naxatebi nimuSis mixedviT.


maswavlebeli:

_ daTvaleT swori an araswori pasuxebis raodenoba.

_ SeadareT erTmaneTs.

_ romelia meti/naklebi: swori Tu araswori pasuxi?

_ SeafaseT megobris namuSevari.

wuTSesveneba

samuSao rveuli

gakveTili # 108_109


gakveTilis mizani: maswavleblisTvis xelis Sewyoba Seamowmos, da Seafasos, ramdenad sworad






gakveTilis msvleloba:maswavlebeli dafas yofs sam nawilad, TiToeul nawilSi wers savarjiSoebs:

5 2 = 3 4 2 = 6 3 3 = 0

2 1 = 1 4 2 = 2 4 4 = 8

6 4 = 10 7 3 = 4 10 5 = 5

1 2 = 3 5 5 = 10 2 5 = 7

9 5 = 4 6 1 = 7 1 1 = 2

2 7 = 9 8 2 = 10 3 6 = 9

da sTavazobs moswavlebs rigebs Soris Sejibrs: moswavleebma ricxvebs Soris unda Caweron

`+~ an `_~ niSani. gamarjvebulia rigi, romelic swrafad da sworad Seasrulebs samuSaos.

saxelmZRvaneoze muSaobasavarjiSoebi sruldeba damoukideblad.


_ SemoxazeT aTeulebad. CawereT ujraSi, ramdeni aTeulia.



127



wuTSesveneba

samuSao rveuli


_ CawereT TiToeuli naxatisaTvis oTxi toloba.




_ gamoiangariSeT.




SeZenil codnas: gamoyofen aTeuls grovidan, ajgufeben sagnebs Tvisebrivi maxasiaTeblebis mixedviT

da warmoadgenen ricxvebs tol SesakrebTa jamis saxiT, xsnian amocanas, sworad asruleben

ariTmetikul moqmedebebs, gansazRvraven miTiTebul ricxvamde Sesavsebad saWiro raodenobas.

wuTSesveneba

samuSao rveuli


a) anam tyeSi 10 soko ipova, aqedan 5 patara, danarCeni ki _ didi. ramdeni didi soko ipova anam?

b) nikas 9 kanfeti hqonda, aqedan 3 SeWama. ramdeni kanfeti darCa nikas?

1+2+1; 2+2+1; 3+2+1; 4+2+1; 5+2+1; 6+2+1; 7+2+1;

1+3; 2+3; 3+3; 4+3; 5+3; 6+3; 7+3.

10_2_1; 9_2_1; 8_2_1; 7_2_1; 6_2_1; 5_2_1; 4_2_1;

10_3; 9_3; 8_3; 7_3; 6_3; 5_3; 4_3.

gakveTili # 110_111

gakveTilis Tema: ricxvebze moqmedebebi aTis farglebSi (gameoreba).






128


gakveTilis msvleloba: gakveTili iwyeba TamaSiT `mxiaruli estafeta~. maswavlebeli dafas yofs

sam nawilad da TiToeul nawilSi wers rigSi moswavleebis raodenobis Sesabamis savarjiSoebs.

maswavlebeli:

_ saTiTaod gamodiT da SemoxazeT swori pasuxi:

5 + 1 + 3 4 + 2 + 1 2 + 1 + 3

6 8 9. 4 7 9. 2 6 9

7 _1 _ 3 5 _ 2 _ 2 6 _ 3 _ 3

4 3 2 1 2 3 2 3 0 da a. S.

gamarjvebulia rigi, romelic swrafad da sworad Seasrulebs samuSaos.

savarjiSos mizania Seswavlili masalis gameoreba, aseve zepiri angariSis unar-Cvevis

gamomuSaveba.









_ gamoiangariSeT. gaaferadeT savarjiSoebi mocemuli Sedegebis Sesabamisad.

wuTSesveneba

samuSao rveuli


_ SeavseT amocanis piroba.


_ rogor amoxseniT?

_ ratom?


_ CaxateT cariel ujrebSi Sesabamisi raodenobis wertilebi da CawereT tolobebi.


129


_ rogor amoxseniT?

_ ratom?


_ gamoiangariSeT da CawereT vis ramdeni TeTri aqvs.

_ vis aqvs meti/naklebi TeTri?

wuTSesveneba

samuSao rveuli

* * *

meoTxe TavSi ganxiluli masalis Seswavlis Sedegad moswavles SeuZlia:

• ricxvebze moqmedebebis Sesuleba aTis farglebSi.

• amocanis amoxsna, amocanis pirobisa da kiTxvis gansazRvra, amocanis kiTxvaze pasuxis gacema.

• erTi Sesakrebis meorisaTvis mimateba Sesakrebis daSlis gziT.

• Sekreba-gamoklebis urTierTSebrunebulobis Cveneba.

• mocemuli raodenobis miTiTebul raodenobamde Sesavsebad saWiro damatebiTi raodenobis

dasaxeleba.

• aTulis gamoyofa grovaSi.

• Sesabamisi terminebisa da aRniSvnebis sworad gamoyeneba.

• Tavis garSemo arsebul sagnebSi geometriuli figurebis amocnoba da dasaxeleba.

• nimuSze mocemuli gamosaxulebis misaRebad brtyeli figurebis modelebis erTmaneTTan SeTavseba.

• mimdevrobis mocemuli fragmentis mixedviT am mimdevrobis Tanmimdevruli Ria poziciis Sevseba.

gakveTilebze Catarebuli individualuri, wyvilSi da jgufuri savarjiSoebi xels uwyobs:

saazrovno (amocanis amoxsna, Sefaseba, Sedareba, ariTmetikuli moqmedebebis worad Sesruleba,

ricxviTi gamosaxulebis mniSvnelobis ariTmetikuli moqmedebis, SedegTan dakavSireba),

sakomunikacio (mosmena, sxvisi azris gaTvaliswineba, argumentacia, namuSevris wardgena, msjeloba,

Sesabamisi terminebis sworad gamoyeneba), sasicocxlo (TanamSromloba, SeZenili codnis praqti-

kulad gamoyeneba), SemoqmedebiTi unar-Cvevebis gamomuSavebas.

V Tavi

orniSna ricxvebi 11-dan 20-mde

am TavSi warmodgenili gakveTilebis mizania orniSna ricxvebis gacnoba da maTi gamoyeneba sagan-

Ta Sesabamisi raodenobis aRsaniSnavad.

TiToeul ricxvs, dawyebuli TerTmetidan, eTmoba sami gakveTili. gakveTilebi agebulia

erTnairi sqemiT: pirveli ori gakveTili eTmoba konkretuli ricxvis gacnobas, mesame gakveTilze

xdeba axali da adre Seswavlili masalis gameoreba. mocemuli ricxvi ganixileba, rogorc aTeuli

da erTeuli, aseve, rogorc momdevno ricxvi (misi miReba xdeba wina ricxvze erTis damatebiT).

savarjiSoebi isea agebuli, rom moswavlem kargad gaigos, ra aris aTeuli da erTeuli, ras

niSnavs aTeuli da erTeuli mocemul ricxvSi, aseve gaiazros ricxvis adgili mimdevrobaSi da

iswavlos ricxvis gamoyeneba mocemuli raodenobis aRsaniSnavad.

warmodgenil gakveTilebSi gansakuTrebuli yuradReba eTmoba iseTi unar-Cvevebis gamomu-

Savebas, rogoricaa sasicocxlo, sakomunikacio da SemoqmedebiTi unar-Cvevebi (gakveTilebi 117-

118; 125-126; 138-139-140), aseve samuSaos damoukideblad Sesrulebis, swrafi azrovnebis, ricxvebze

Sesabamisi moqmedebebis Sesrulebis, Sedarebis, problemis gadaWris unar-Cvevebis gamomuSavebas.

wina nawilebisagan gansxvavebiT, savarjiSoebis umetesoba aRar sruldeba uSualod saxelmZRva-

neloSi, moswavleebi ZiriTadad Cveulebriv rveulebSi imuSaveben. savarjiSoebi, romlebic exeba

Seswavlili masalis gameorebas, sruldeba damoukideblad.

130

samuSao rveulSi mocemulia savarjiSoebi testis saxiT. rveuli maswavlebels SeuZlia

gamoiyenos rogorc klasSi samuSaod, ise saSinao davalebisaTvis.

gakveTili # 112_114

saswavlomiznebi


droisganawileba

resursebi Semowmeba

moswavlem

iswavlos ricxv

TerTmetis

gamoyeneba

saganTa Sesabamisi

raodenobis

aRsaniSnavad.

saazrovno unar-

Cvevebis

gamomuSaveba.

wyvilSi

individualuri

1) 10 wT.

2) 15 wT.

3) 5 wT.

wuTSesveneba 3 wT.

saTvleli

Cxirebi,

rezinis

rgolebi.

savarjiSo

# 114


1) aqtiuri

savarjiSo.

2) saxelmZRva-

neloze

muSaoba

3) samuSao

rveuli

gakveTili # 112-113-114

gakveTilis Tema: orniSna ricxvebi 11-dan 20-mde.

gakveTilis mizani: moswavlem iswavlos ricxv TerTmetis gamoyeneba saganTa Sesabamisi raodenobis


saWiro masala: saTvleli Cxirebi, rezinis rgolebi.





gakveTilis msvleloba:maswavlebeli mimarTavs klass:

_ daawyveT merxebze saTvleli Cxirebi da rezinis rgolebi.

_ axla me Tqven giambobT zRapars: didi xnis winaT erT qveyanaSi, romelsac `maTematika”

erqva cxovrobda Cxiri, saxelad èrTeuli~. erTxel erTeuli saseirnod wavida, gzad ipova

rgoli, romelic Zalian moewona da gadawyvita, Sig dasaxlebuliyo.

maswavlebeli iRebs erTs Cxirs da debs rezinis rgolSi, moswavleebi imaves akeTeben. mas-

wavlebeli agrZelebs zRapars:

_ cota xanSi rgolTan Camoiara meore Cxirma, masac erTeuli erqva, Zalian moewona rgoli

da isic iqve darCa sacxovreblad.

maswavlebeli iRebs meore Cxirs da debs rgolSi, moswavleebi imaves akeTeben.

_ ramdeni erTeuli Cxiri cxovrobs axla rgolSi? da a. S. maswavlebeli agrZelebs savarjiSos

iqamde, vidre Cxirebis raodenoba aTi ar gaxdeba.

_ erT rgolSi aTi Cxiri cxovrobs.

_ ra hqvia aT sagans erTad?

_ ramdeni erTeulia aTeulSi?

maswavlebeli agrZelebs zRapars:

_ Camoiara kidev erTma Cxirma masac Zalian mounda sxva CxirebTan erTad dabinaveba, magram,

samwuxarod, misTvis rgolSi adgili aRar darCa. maSin Cxirebma gadawyvites, mainc daetovebinaT,

oRond rgolis gareT daesaxlebinaT.

_ erTad cxovrobs aTi Cxiri da kidev erTi Cxiri.

131

_ ramdeni erTeuli Cxiria?

_ maCveneT aTeuli.

_ ramdeni erTeuli darCa calke?

_ TerTmetSi aris erTi aTeuli da kidev erTi erTeuli.

maswavlebeli wers dafaze: 10+1=11.

_ rogori ricxvia TerTmeti?

_ ratom?

_ ramdeni aTeulia TerTmetSi?

_ ramdeni erTeulia TerTmetSi?

_ romelia erTeulebis aRmniSvneli ricxvi?

_ romelia aTeulebis aRmniSvneli ricxvi?

_ ras amCnevT?

Tu moswavleebs gauWirdebaT SekiTxvebze pasuxis gacema, maswavlebeli exmareba maT (mag.,

TerTmeti orniSna ricxvia da a. S.).

_ ramdeniT metia TerTmeti aTze?

_ TerTmeti aTze erTiT metia, amitom hqvia mas TerTmeti.

savarjiSos saSualebiT moswavleebi ecnobian ricxv TerTmets, xedaven, rogor xdeba misi

miReba, igeben, rogori ricxvia TerTmeti da swavloben mis gamoyenebas saganTa Sesabamisi rao-

denobis aRsaniSnavad.

meore gakveTilze maswavlebeli iyenebs # 25 gakveTilze Catarebul aqtivobas baraTebiT.

mesame gakveTilze maswavlebeli karnaxobs:

10_1_1 6+2+2 4_2_2 6_3_3

8+1+1 7+1+1 2_1_1 8_2_2

5+2+2 6_2_2 7_2_2 8_2_2

4_1_1 5_1_1 3+3+3 9_1_1

maswavlebeli:

_ gamoiangariSeT.

_ daukvirdiT Tqven mier Caweril savarjiSoebs, ras amCnevT?

savarjiSos mizania Seswavlili masalis gameoreba, aseve mosmenilis Caweris unar-Cvevis

gamomuSaveba, rac xels uwyobs yuradRebis mobilizebas da koncentracias, ricxvebze Sesabamisi

moqmedebebis Sesrulebis unar-Cvevis gamomuSaveba.


_ ramdeni mwvane burTulaa?

_ ramdeni yviTeli burTulaa?

_ sul ramdeni burTula?

_ ramdeni aTeulia? kidev ramdeni erTeulia?

_ 1 aTeuli da 1 erTeuli erTad ramdenia?

_ CawereT.


_ SemoxazeT TerTmet-TerTmeti varskvlavi.



_ waikiTxeT Sedgenili tolobebi.


132

_ daalageT ricxvebi zrdis mixedviT.

_ romelia yvelaze patara ricxvi?

_ romelia yvelaze didi ricxvi?

_ romelia orniSna ricxvi?

_ ratom aris orniSna?

_ romelia erTniSna ricxvi?

_ ratom aris erTniSna?

_ romelia yvelaze didi orniSna ricxvi?

_ romelia yvelaze didi erTniSna ricxvi?

_ romelia yvelaze patara orniSna ricxvi?

_ romelia yvelaze patara erTniSna ricxvi?



_ rogor amoxseniT?

_ ratom?


_ SeadareT.

mocemuli savarjiSoebi xels uwyobs ricxv TerTmetis gacnobas da mis gamoyenebas saganTa

Sesabamisi raodenobis aRsaniSnavad. aseve savarjiSoebi xels uwyobs saazrovno (Sedareba, Sefaseba,

problemis gadaWra) unar-Cvevebis gamomuSavebas. moswavleebi iyeneben SeZenil codnas: gamoyofen

miTiTebuli raodenobis Sesabamis saganTa jgufs, aerTianeben sagnebs Tvisebrivi maxasiaTeblebis

mixedviT da adgenen Sesabamis tolobebs, xsnian amocanas.

wuTSesveneba

samuSao rveuli


_ gamoiangariSeT.



_ rogor amoxseniT?

_ ratom?


_ CawereT `+~ an `_~ niSani.




_ CawereT 3-is momdevno ricxvi;


_ sami metia/naklebi Tu es ricxvi? da a. S.

133


_ SeavseT cxrilebi.

mocemuli savarjiSoebis mizania Seswavlili masalis gameoreba.

wuTSesveneba

samuSao rveuli



_ romel yulabaSi iqneba ufro meti/naklebi TeTri?

_ ramdeniT?



_ rogor amoxseniT?

_ ratom?


_ gamoiangariSeT.


_ CawereT xuTze meti da TerTmetze naklebi ricxvebi.

_ ra ricxvebi CawereT?

_ ramdeniT metia yoveli momdevno ricxvi winaze?


_ ipoveT Secdomebi da gaasworeT.

_ romel CanawerSia Secdoma?

_ rogor gaasworeT?

_ ratom?


_ daakavSireT xaziT erTnairi formisa da feris figurebi.


wavleebi SeZenil codnas: raodenobebis Sefaseba da Sedareba, Sesabamisi ariTmetikuli moqmedebebis

sworad Sesruleba, amocanis amoxsnis gzis moZebna, ricxviTi gamosaxulebis mniSvnelobisa da

ariTmetikuli moqmedebebis Sedegis Sefaseba, saganTa gaerTianeba Tvisebrivi maxasiaTeblebis

mixedviT.

wuTSesveneba

samuSao rveuli

134

gakveTili # 115-116-117


gakveTilis mizani: moswavlem iswavlos ricxv Tormetis gamoyeneba saganTa Sesabamisi raode-

nobis aRsaniSnavad, saazrovno unar-Cvevebis gamomuSaveba.






gakveTilis msvleloba: maswavlebeli urigebs moswavleebs Tabaxis furclebs da mimarTavs klass:

_ me davasaxeleb ricxvs, romelic Tqven unda gaadidoT oriT da CaweroT.

maswavlebeli:

_ ori.

moswavleebi weren: 2+2=4. maswavlebeli wers dafaze.

Semdeg maswavlebeli asaxelebs ricxvebs TanmimdevrobiT: 4, 6, 8.

moswavleebi weren furclebze Sesabamis tolobebs, maswavlebeli _ dafaze. maswavlebeli:

_ aTi. maswavlebeli wers dafaze: 10+2=12.

maswavlebeli:

_ aTs rom ori davumatoT, gaxdeba Tormeti.

_ daawyveT magidaze ricxv Tormetis Sesabamisi raodenobis Cxirebi.

_ gamoyaviT aTi Cxiri.

_ aT Cxirs erTad ra hqvia?

_ ramdeni aTeulia?

_ ramdeni Cxiri darCa calke?

_ ori Cxiri ramdeni erTeulia?

_ erTi aTeuli Cxiri da kidev ori erTeuli aris Tormeti Cxiri.

_ rogori ricxvia Tormeti?

_ ratom?

_ ramdeni aTeulia TorTmetSi? kidev ramdeni erTeulia?

_ romelia erTeulebis aRmniSvneli ricxvi?

_ romelia aTeulebis aRmniSvneli ricxvi?

_ ramdeniT metia Tormeti aTze?

_ Tormeti aTze oriT metia da amitom hqvia mas Tormeti.

_ romeli ricxvis momdevno ricxvia Tormeti?

_ rogor SeiZleba TerTmetidan Tormetis miReba?


_ Tormeti metia/naklebi Tu TerTmeti? ratom?

_ ramdeniT metia Tormeti TerTmetze?

savarjiSo xels uwyobs ricxv Tormetis gacnobas da mis gamoyenebas Sesabamisi raodenobis

aRsaniSnavad.

meore gakveTilze maswavlebeli atarebs rigebs Soris Sejibrs, dafas yofs sam nawilad da wers:

2+1= 3_2= 5_3=

Semdeg mimarTavs klass:

_ rigebidan pirveli moswavleebi gamodiT da dawereT savarjiSos pasuxi da dasxediT.

_ rigebidan meore moswavleebi gamodiT, moifiqreT savarjiSo, romelic iwyeba wina savarjiSos

pasuxiT da dawereT da a. S. gamarjvebulia rigi, romelic swrafad da sworad Seasrulebs samuSaos.

135

savarjiSos mizania Seswavlili masalis gameoreba, aseve dakvirvebisa da swrafi angariSis

unar-Cvevis gamomuSaveba.

mesame gakveTilze maswavlebeli urigebs moswavleebs TiTo Tabaxis furcels, wers dafaze

ricxvebs 10 da 2 da mimarTavs klass:

_ moifiqreT ori amocana dafaze dawerili ricxvebis gamoyenebiT.

savarjiSo xels uwyobs SemoqmedebiTi azrovnebis ganviTarebas.


_ ramdeni cisferi oTxkuTxedia?

_ ramdeni yviTeli oTxkuTxedia?




_ CawereT.

_ ramdeni lurji rgolia?

_ ramdeni mwvane rgolia?

_ sul ramdenia?

_ CawereT.

_ romelia TerTmetis momdevno ricxvi?


_ CawereT ujrebis raodenobis Sesabamisi ricxvebi.


_ ratom?

_ ra ricxvi CawereT meore ujraSi?

_ ratom?

_ ras aRniSnavs lurjad gaferadebuli ujrebi?

_ ras aRniSnavs wiTlad gaferadebuli ujrebi? da a. S.


_ SeadareT.



_ rogor amoxseniT?

_ ratom?




_ CawereT ricxvebi xuTidan Tormetamde.

_ waikiTxeT.

_ CawereT ricxvebi Tormetidan xuTamde.

_ waikiTxeT.

mocemuli savarjiSoebi xels uwyobs ricxv Tormetis gacnobas da mis gamoyenebas saganTa

Sesabamisi raodenobis aRsaniSnavad. aseve savarjiSoebi xels uwyobs saazrovno (Sedareba, Sefaseba,

problemis gadaWra) unar-Cvevebis gamomuSavebas. moswavleebi iyeneben SeZenil codnas: aerTianeben

136

sagnebs Tvisebrivi maxasiaTeblebis mixedviT da adgenen Sesabamis tolobebs, xsnian amocanas. sworad

asruleben ariTmetikul moqmedebebs, asaxeleben ricxvebs mimdevrobiT.

wuTSesveneba

samuSao rveuli


_ gamoiangariSeT.


_ SeadgineT naxatis mixedviT oTxi toloba.



_ rogor amoxseniT?

_ ratom?


_ daalageT ricxvebi klebis mixedviT.

_ romelia yvelaze patara ricxvi?

_ romelia yvelaze didi ricxvi?

_ romelia yvelaze didi orniSna ricxvi?

_ romelia yvelaze didi erTniSna ricxvi?

_ romelia yvelaze patara orniSna ricxvi?

_ romelia yvelaze patara erTniSna ricxvi? da a.S.



_ 6 gaadideT 4-iT. ramdenia? CawereT.

_ 8 gaadideT 2-iT. ramdenia? CawereT da a. S.


_ oTxkuTxedSi gaavleT erTi xazi ise, rom miiRoT ori samkuTxedi.

mocemuli savarjiSoebi xels uwyobs saazrovno unar-Cvevebis gamomuSaveba.

wuTSesveneba

samuSao rveuli




_ ra ricxvia 5-sa da 7-s Soris?



_ romelia meti/naklebi: 5 Tu 6? ramdeniT? 6 Tu 7? ramdeniT da a. S.

137




_ vis ramdeni TeTri aqvs?

_ vis ufro meti/naklebi TeTri aqvs?


_ gaadideT erTiT ricxvebi.

_ Seamcire erTiT ricxvebi.


_ gaagrZeleT.

_ ras amCnevT?

wuTSesveneba

samuSao rveuli

savarjiSos saSualebiT maswavlebeli amowmebs da afasebs, ramdenad sworad iyeneben moswavle-

ebi SeZenil codnas.

gakveTili # 118-119

gakveTilis Tema: weliwadis droebi.

gakveTilis mizani: sasicocxlo (drosa da sivrceSi orientacia, garemosTan urTierToba, TanamSrom-

loba), sakomunikacio (Seswavlili cnebebis gamoyeneba, mosmena, sxvisi azris gaTvaliswineba), sa-

azrovno (Sesabamisi kavSirebis moZebna), SemoqmedebiTi (SemoqmedebiTi aqtivoba) unar-Cvevevebis

gamomuSaveba.

saWiro masala: qaRaldis formati, Tabaxis furclebi.





gakveTilis msvleloba: maswavlebeli mimarTavs klass:

_ weliwadis ramdeni dro iciT?

_ romeli TviT iwyeba weliwadi?

_ weliwadis romel dros ekuTvnis ianvari?

_ zamTris Semdeg weliwadis romeli dro dgeba?

_ weliwadis ra droa axla?

_ romelia yvelaze civi dro?

_ romelia yvelaze cxeli dro?

_ gazafxuli da Semodgoma riT hgavs erTmaneTs?

_ riT gansxvavdeba isini erTmaneTisgan?

_ rodis Tendeba ufro adre? gvian?

138

_ rodis Ramdeba ufro adre? gvian?

_ rodis aris yvelaze grZeli dReebi? mokle? da a. S.

_ gadaSaleT saxelmZRvaneloebi.


_ weliwadis TiToeuli dro Sedgeba sami Tvisagan.

_ CamoTvaleT.

_ sul ramdeni Tvea weliwadSi?

Semdeg maswavlebeli yofs klass oTxmoswavlian jgufebad, urigebs jgufebs qaRaldis

formatis nawils da mimarTavs maT:

_ I jgufma daxatos zamTari, II jgufma _ gazafxuli, III-m _ zafxuli, IV-m _ Semodgoma.

samuSaos damTavrebis Semdeg maswavlebeli amagrebs namuSevrebs dafaze da mimarTavs moswavleebs:

_ aRwereT weliwadis TiToeuli dro naswavli cnebebis gamoyenebiT. gamarjvebulia is jgufi,

romelic met cnebas gamoiyenebs sworad.

Tu moswavleebs gauWirdebaT samuSaos Sesruleba, maswavlebeli exmareba maT, mag.: zafxulSi bevri

yvavilia, mze maRlaa, dRe grZelia, ufro meti Citia da a. S.

savarjiSos mizania garemosTan urTierTobis, drosa da sivrceSi orientaciis, Sesabamisi

kavSirebis dadgenis unar-Cvevebis gamomuSaveba.

meore gakveTilze maswavlebeli ameorebinebs moswavleebs weliwadis droebs, Semdeg TiTo

merxze debs TiTo Tabaxis furcels da mimarTavs wyvilebs:

_ moifiqreT oTxi amocana, romlis pirobaSi naxsenebi iqneba weliwadis dro.

Tu moswavleebs gauWirdebaT samuSaos Sesruleba, maswavlebeli exmareba maT, mag.: Semodgomaze

daiwyo foTolcvena. xeze iyo 10 foToli, qarma Camoagdo 5 foToli. ramdeni foToli darCa xeze?

samuSaos damTavrebis Semdeg TiToeuli wyvili waradgens Tavis namuSevars.

savarjiSos mizania saazrovno, sakomunikacio da SemoqmedebiTi unar-Cvevebis gamomuSaveba.



_ CawereT Sesabamisi ricxvebi nimuSis mixedviT.


_ CawereT cxrilebSi Sesabamisi ricxvebi.

_ ra ricxvi CawereT pirvel cxrilSi, pirvel ujraSi?

_ ratom? da a. S.


_ SeadgineT amocanebi mocemuli Canawerebis mixedviT.


_ romelia yvelaze grZeli Tve?



wuTSesveneba

samuSao rveuli

139

gakveTili # 120-121-122


gakveTilis mizani: moswavlem iswavlos ricxvi cametis gamoyeneba saganTa Sesabamisi raodenobis


saWiro masala: saTvleli Cxirebi.





gakveTilis msvleloba: maswavlebeli mimarTavs klass:

_ dadeT merxze aTi Cxiri.

_ aT Cxirs erTad ra hqvia?

_ daumateT erTi Cxiri.

_ ramdeni Cxiria?

_ rogori ricxvia TerTmeti?

_ ramdeni aTeulia TerTmetSi? kidev ramdeni erTeulia?

_ romelia Semdegi ricxvi?

_ dadeT merxze Tormeti Cxiri.

_ rogor SeiZleba Tormetis miReba? kidev?

_ ramdeni aTeulia TorTmetSi? kidev ramdeni erTeulia?

_ axla dadeT calke aTi Cxiri, daamateT kidev sami Cxiri.



_ erT aTeuls rom davumatoT sami erTeuli, gaxdeba cameti.

_ romeli ricxvis momdevno ricxvia cameti?

_ rogor SeiZleba Tormetidan cametis miReba?


_ cameti metia/naklebi Tu Tormeti? ratom?

_ ramdeniT metia cameti Tormetze?

_ ramdeni aTeulia cametSi? kidev ramdeni erTeulia?

_ cameti orniSna ricxvia Tu erTniSna? ratom?

savarjiSos mizania ricxv cametis gacnoba da misi gamoyeneba saganTa Sesabamisi raodenobis

aRsaniSnavad.

meore gakveTilze maswavlebeli dafaze wers savarjiSoebs:

5+3 10_0

6+4 4+2

8_4 9_1

3+3 7_3

da mimarTavs klass:

_ gadawereT savarjiSoebi rveulSi da xazebiT daakavSireT is savarjiSoebi, romlebsac

erTnairi pasuxebi aqvT.

samuSaos Semowmebis mizniT moswavleebi rigrigobiT kiTxuloben namuSevars.

savarjiSos mizania ricxvebze Sesabamisi moqmedebebis Sesrulebis, Sedarebisa da Sefasebis


mesame gakveTilze rigebs Soris Sejibri:

maswavlebeli dafas yofs sam nawilad, TiToeul nawilSi wers rigebSi moswavleebis Sesabamisi

raodenobis savarjiSoebs:

140

[]+1=11 []+2=12 []+3=13

[]_7=3 13_[]=12 11+[]=3

9_[]=8 9_[]=2 13_[]=10

7_1_[]=5 8+2+[]=1 9+1+[]=11

da sTavazobs moswavleebs rigebs Soris Sejibrs _ saTiTaod gamodiT da CawereT cariel

ujraSi Sesabamisi ricxvi.


savarjiSos mizania swrafi da swori angariSis unar-Cvevis gamomuSaveba, aseve miRebuli

codnis mobilizeba da gamoyeneba.


_ ramdeni wiTeli droSaa?

_ ramdeni yviTeli droSaa?

_ sul ramdeni droSaa?



_ CawereT.

_ ramdeni lurji farania?

_ ramdeni mwvane farania?

_ sul ramdenia?

_ CawereT.


_ SemoxazeT cameti sagani.





_ rogor amoxseniT?

_ ratom?

mocemuli savarjiSoebis mizania ricxv cametis gacnoba da misi gamoyeneba saganTa Sesabamisi

raodenobis aRsaniSnavad.

wuTSesveneba

samuSao rveuli


_ CawereT gamotovebuli ricxvebi.

_ romelia aTis momdevno ricxvi?

_ romelia cametis wina ricxvi? da a. S.


_ SeadareT.

savarjiSo # 3

141

maswavlebeli:


_ rogor amoxseniT?

_ ratom?



_ romelia I Sesakrebi?

_ romelia II Sesakrebi?

_ romelia jami? da a. S.


_ daalageT figurebi sxvadasxvanairad.

wuTSesveneba

samuSao rveuli





_ gamoiangariSeT.




_ CawereT wreebSi Sesabamisi monetebis dasaxeleba.



gakveTili # 123-124-125


gakveTilis mizani: moswavlem iswavlos ricxv ToTxmetis gamoyeneba saganTa Sesabamisi raodenobis

aRsaniSnavad, saazrovno unar-Cvevebis gamomuSaveba.

saWiro masala: baraTebi ricxvebiT (1-dan 10-mde), Tabaxis furclebi.





142

gakveTilis msvleloba: maswavlebeli dafaze xazavs cxrils:

aTeuli erTeuli

aTeulebis ujraze erTxel daakakunebs da mimarTavs moswavleebs:

_ ramdenjer davakakune?

_ baraTebis saSualebiT maCveneT Sesabamisi ricxvi.

Semdeg erTxel daakakunebs aTeulebisa da erTxel erTeulebis ujraze.

_ ramdenjer davakakune aTeulebis ujraze?

_ ramdenjer davakakune erTeulebis ujraze?

_ baraTebis saSualebiT maCveneT Sesabamisi ricxvi. da a.S. ToTxmetamde.

bolos maswavlebeli erTxel daakakunebs aTeulebisa da oTxjer erTeulebis ujraze.

_ ramdenjer davakakune aTeulebis ujraze?

_ ramdenjer davakakune erTeulebis ujraze?

_ baraTebis saSualebiT maCveneT Sesabamisi ricxvi.

_ erTi aTeuli da kidev oTxi erTeuli erTad aris ToTxmeti.


_ rogori ricxvia ToTxmeti?

_ ramdeni aTeulia ToTxmetSi? kidev ramdeni erTeulia?

_ romeli ricxvis momdevnoa ToTxmeti?

_ rogor SeiZleba ToTxmetis miiReba cametidan?

_ romelia meti/naklebi cameti Tu ToTxmeti?

_ ratom?

_ ramdeniT metia ToTxmeti cametze?

savarjiSos mizania ricxv ToTxmetis gacnoba, misi gamoyeneba saganTa Sesabamisi raodenobis

aRsaniSnavad, aseve yuradRebis mobilizeba da koncentracia.

meore gakveTilze maswavlebeli klass yofs or jgufad, urigebs Tabaxis furclebs da mimarTavs:

_ me wavikiTxav savarjiSoebs. I jgufis wevrebi furcelze weren mxolod im savarjiSoebis

pasuxebs, sadac sruldeba moqmedeba Sekreba, II jgufis wevrebi ki _ mxolod im savarjiSoebis pasuxebs,

sadac sruldeba moqmedeba gamokleba.

samuSaos damTavrebis Semdeg jer pirveli jgufi kiTxulobs savarjiSoebs, Semdeg _ meore

jgufi. maswavlebeli moswavleebis daxmarebiT amowmebs Sesrulebul samuSaos.

savarjiSo xels uwyobs yuradRebis mobilizebas, aseve zepiri angariSis unar-Cvevis gamo-

muSavebas, misi saSualebiT mowmdeba, ramdenad kargad gaiges moswavleebma Sekreba-gamoklebis

moqmedeba.

mesame gakveTilze maswavlebeli wers dafaze savarjiSoebs:

8_2_2 7_1_3

5+5+1 8+2+2

6+2+2 10_4_4 da a. S.

igi mimarTavs klass:

_ saTiTaod gamodiT da gamoiangariSeT.

savarjiSos mizania ricxvebze Sesabamisi moqmedebebisa da samuSaos damoukideblad Sesrulebis



_ ramdeni Cxiria pirvel rigSi?

_ ramdeni Cxiria meore rigSi?



_ aTeuli da oTxi erTeuli erTad ramdenia?

_ CawereT.

143

_ ramdeni mwvane foTolia?

_ ramdeni yviTeli foTolia?

_ sul ramdenia?

_ CawereT.

_ romelia cametis momdevno ricxvi?


_ daakavSireT naxatebi Sesabamisi raodenobis aRmniSvnel ricxvebTan.

_ romel ricxvTan daakavSireT pirveli naxati?



_ rogor amoxseniT?

_ ratom?


_ gaxadeT figurebis raodenoba miTiTebuli ricxvis Sesabamisi.

_ ramdeni sagani iyo?

_ ramdeni sagani daxateT?

_ sul ramdenia?


_ CawereT cariel ujrebSi vagonebis nomrebi.

_ romeli vagonia bolo?

_ Semdegi romeli vagoni iqneba?

_ Semdegi?

mocemuli savarjiSoebis mizania moswavlem iswavlos ricxv ToTxmetis gamoyeneba saganTa

Sesabamisi raodenobis aRsaniSnavad. gaigos, romeli ricxvis momdevno ricxvia ToTxmeti da

rom ToTxmeti metia mis win mdgom yvela ricxvze.

wuTSesveneba

samuSao rveuli




_ SeadareT.




_ gaadideT 2-iT.

_ SeamcireT 2-iT.

savarjiSo # 5

144

maswavlebeli:

_ gamoiangariSeT.



_ rogor amoxseniT?

_ ratom?

wuTSesveneba

samuSao rveuli




_ ramdeni unda davumatoT aTs, rom gaxdes ToTxmeti?

_ ramdeni unda davumatoT camets, rom gaxdes ToTxmeti? da a. S.


_ nias ufro meti moneta aqvs Tu gias?

_ vis ufro meti Tanxa aqvs? ramdeniT?



_ waikiTxeT Sedgenili tolobebi.


moswavleebi SeZenil codnas. aseve samuSaos damoukideblad Sesrulebisa da saazrovno unar-


wuTSesveneba

samuSao rveuli


a) ninom rveulsa da saSlelSi 14 TeTri gadaixada. saSleli 4 TeTri Rirs. ra Rirs rveuli?

b) ra ricxvebia 10-sa da 14-s Soris? 7-sa da 14-s Soris?

g) 10 + 3; 14 _ 4; 13 _ 1; 12 + 1; 10 + 2; 13 _ 3;

14 _ 1; 13 + 1 10 + 1; 12 _ 2; 12 _ 1; 13 + 1;

10 + 4; 11 _ 1; 11 _ 11; 10 + 1; 9 + 1; 8 + 2.

gakveTili # 126-127

gakveTilis Tema: sagzao niSnebi.

gakveTilis mizani: sasicocxlo, sakomunikaco, saazrovno unar-Cvevebis gamomuSaveba.

saWiro masala: qaRaldis formati oTxi cali, Tabaxis furclebi, makrateli, webo.

145





gakveTilis msvleloba:maswavlebeli mimarTavs klass:

_ daakvirdiT saxelmZRvaneloSi mocemul naxatebs, CamoTvaleT geometriuli figurebi.

_ ras gviCvenebs pirveli samkuTxedi?

_ ras gviCvenebs pirveli wre?

_ ras gviCvenebs meore wre? da a. S.

_ CamoTvaleT SuqniSnis ferebi.

_ ras aRniSnavs TiToeuli maTgani? da a. S.

Semdeg maswavlebeli yofs klass eqvsmoswavlian jgufebad, urigebs jgufebs TiTo qaRaldis

formats da mimarTavs maT:

_ samuSao rveulSi mocemuli sagzao niSnebi jer gaaferadeT saxelmZRvaneloSi mocemuli

nimuSis mixedviT da Semdeg amoWeriT. TiToeulma jgufma moifiqros da qaRaldis formatze

gaakeTos quCebi sagzao niSnebis gamoyenebiT.

maswavlebeli exmareba moswavleebs.


yuradRebas amaxvilebs niSnebis mniSvnelobaze da maT kavSirze geometriul figurebTan, raTa

moswavleebs gauadvildeT sagzao niSnebis damaxsovreba da maTi gamoyeneba.

savarjiSo xels uwyobs moswavleebs maT garSemo arsebuli sagnebidan geometriuli figurebis

amoicnobaSi, Sesabamisi kavSirebis moZebnaSi (sagzao niSnebi _ geometriuli figurebi) da

gamoyenebaSi. aseve sakomunikacio da sasicocxlo unar-Cvevebis gamomuSavebaSi.

meore gakveTilze maswavlebeli TiTo merxze TiTo Tabaxis furcels debs da mimarTavs wyvilebs:

_ moifiqreT amocanebi ise, rom amocanis pirobis Sedgenisas gamoiyenoT sagzao niSnebi. Tu

moswavleebs gauWirdebaT samuSaos Sesruleba, maswavlebeli exmareba maT, mag.:

_ gadasasvlelze idga 5 bavSvi, SuqniSanze ainTo mwvane Suqi, 2 bavSvi gadavida quCaze. ramdeni

bavSvi darCa gadasasvlelze?

samuSaos damTavrebis Semdeg TiToeuli wyvili waradgens Tavis namuSevars.

savarjiSo xels uwyobs sakomunikacio unar-Cvevebisa da SemoqmedebiTi azrovnebis ganviTarebas.



_ SemoxazeT ricxvebi nimuSis mixedviT.






_ gamoiangariSeT.


_ daajgufeT figurebi saerTo niSnis mixedviT.

146



leebi SeZenil codnas. aseve mocemuli savarjiSoebis mizania Seswavlili masalis gameoreba,

samuSaos damoukideblad Sesrulebisa da saazrovno unar-Cvevebis gamomuSaveba.

wuTSesveneba

samuSao rveuli

gakveTili # 128-129-130


gakveTilis mizani: moswavlem iswavlos ricxv TxuTmetis gamoyeneba saganTa Sesabamisi raode-

nobis aRsaniSnavad. saazrovno da sakomunikacio, sasicocxlo unar-Cvevebis gamomuSaveba.

saWiro masala: Tabaxis furclebi, qaRaldis fulis niSnebi (TxuTmetis farglebSi).





gakveTilis msvleloba:maswavlebeli urigebs moswavleebs Tabaxis furclebs da mimarTavs maT:

_ daxateT furcelze aTi sagani.

_ ra hqvia aT sagans erTad?

_ axla daxateT kidev xuTi sagani.

_ vnaxoT, ramdeni sagani miiReT.

_ SevadginoT toloba da CavweroT.


_ aTi sagani da kidev xuTi sagani erTad aris TxuTmeti sagani.

_ erTi aTeuli da kidev xuTi erTeuli erTad aris TxuTmeti.

_ rogori ricxvia TxuTmeti?

_ romelia aTeulis aRmniSvneli ricxvi?

_ romelia erTeulis aRmniSvneli ricxvi?

Semdeg TxuTmetis gverdiT wers xuTs.

_ daakvirdiT ricxvebs, ra aqvT erTnairi 5 da 15-s? ra aqvT gansxvavebuli?


_ rogori ricxvia xuTi?

_ ramdeni erTeulia xuTSi?

_ ramdeni aTeulia TxuTmetSi? kidev ramdeni erTeulia?

_ ramdeni aTeulia xuTSi? da a. S.

_ romeli ricxvis momdevno ricxvia TxuTmeti?

_ kidev rogor SeiZleba TxuTmetis miReba?


_ TxuTmeti metia/naklebi Tu ToTxmeti? ramdeniT?

_ ratom?

mocemuli savarjiSos mizania ricxv TxuTmetis gacnoba.

meore gakveTilze maswavlebeli yofs klass oTxmoswavlian jgufebad, urigebs jgufebs

TiTo Tabaxis furcels, dafaze wers ricxvebs 5, 10, 15 da mimarTavs maT:

_ TiToeulma jgufma SeadgineT oTxi amocana dafaze dawerili ricxvebis gamoyenebiT.

samuSaos damTavrebis Semdeg jgufebi waradgenen TavianT namuSevrebs. Tu moswavleebs

gauWirdebaT samuSaos Sesruleba, maswavlebeli exmareba maT:

147

_ ninos hqonda 5 yvavili, zuram miarTva kidev 10 yvavili. ramdeni yvavili aqvs axla ninos?

mocemuli savarjiSos mizania, moswavlem iswavlos ricxv TxuTmetis gamoyeneba saganTa

Sesabamisi raodenobis aRsaniSnavad. aseve savarjiSo xels uwyobs saazrovno da komunikaciuri

unar-Cvevebis gamomuSavebas, safuZvels uyris SemoqmedebiTi azrovnebis ganviTarebas.

mesame gakveTilze maswavlebeli atarebs gakveTilze #91-92 Catarebul savarjiSos fulis

niSnebis gamoyenebiT TxuTmetis farglebSi, romlis mizanic aris miRebuli codnis praqtikulad

gamoyenebis unar-Cvevis gamomuSaveba.


_ ramdeni varskvlavia I rigSi?

_ ramdeni varskvlavia II rigSi?

_ sul ramdeni varsklavia?



_ ramdeni lurji rgolia?

_ ramdeni wiTeli rgolia?

_ sul ramdeni rgolia?

_ CawereT cariel ujrebSi sagnebis raodenobis aRmniSvneli ricxvi.

_ romelia ToTxmetis momdevno ricxvi?


_ gaadideT yvavilebis raodenoba xuTiT.

_ CawereT cariel ujraSi miRebuli raodeniobis Sesabamisi ricxvi.

_ ramdeni yvavilia axla?


_ aTeuli da xuTi erTeuli erTad ramdenia?



_ rogor amoxseniT?

_ ratom?

_ ToTxmets rom erTi daemata, ramdeni gaxda?

_ romelia meti/naklebi: ToTxmeti Tu TxuTmeti?

_ ramdeniT metia TxuTmeti ToTxmetze?

_ ramdeniT naklebia ToTxmeti TxuTmetze?


_ daawereT avtobusebs Sesabamisi nomrebi.

_ ra nomeria wiTeli avtobusi?

_ lurji? da a. S.

_ yvelaze marjvniv mdgari avtobusi ra nomeria?

_ ToTxmeti nomeri avtobusis Semdeg ra nomeri avtobusi dgas?

_ e. i. TxuTmeti aris ToTxmetis momdevno ricxvi. ToTxmeti TxuTmetis wina ricxvia.


_ gamoiangariSeT.

wuTSesveneba

samuSao rveuli

148


_ SeadareT.



_ rogor amoxseniT?

_ ratom?



_ romelia TxuTmetis wina ricxvi?

_ romelia aTis momdevno ricxvi? da a. S.




_ ramdeni vaSlia yuTSi?

_ daawereT yuTs masSi Cawyobili vaSlebis raodenobis Sesabamisi ricxvi.

_ rogor daadgineT?

_ ratom?

mocemuli savarjiSoebis mizania ricxv TxuTmetis gacnoba da misi gamoyeneba saganTa Sesabamisi

raodenobis aRsaniSnavad, imis dadgena, Tu ra adgili uWiravs ricxv TxuTmets mimdevrobaSi, aseve

TxuTmetis farglebSi Sesabamisi moqmedebebis, Sedarebis, problemis gadaWris unar-Cvevis

gamomuSaveba.

wuTSesvenebasamuSao rveulisavarjiSoebi sruldeba damoukideblad.


_ SeadareT.


_ daakavSireT SedegTan.


_ romelia meti/naklebi? ramdeniT?

_ ra xerxiT daadgineT?


_ riT hgavs es ori mimdevroba erTmaneTs?



wavleebi SeZenil codnas.


149

gakveTili # 131-132-133


gakveTilis mizani: moswavlem iswavlos ricxv Teqvsmetis gamoyeneba saganTa Sesabamisi

raodenobis aRsaniSnavad, saazrovno da sakomunikacio unar-Cvevebis gamomuSaveba.

saWiro masala: vaSlis xe moZravi vaSlebiT (adre gamoyenebuli), Tabaxis furclebi.





gakveTilis msvleloba:maswavlebeli dafaze kidebs qaRaldis formats, romelzec xatia vaSlis xe, amagrebs zed aT

cal vaSls da mimarTavs klass:

_ ramdeni vaSlia xeze?

_ gavzardoT vaSlebis raodenoba eqvsiT (kidebs eqvs vaSls).

_ axla ramdeni vaSlia xeze?

_ SevadginoT toloba.


_ aTi sagani da kidev eqvsi sagani erTad aris Teqvsmeti sagani, e. i. erTi aTeuli da kidev

eqvsi erTeuli erTad aris Teqvsmeti.

_ rogori ricxvia Teqvsmeti?



Semdeg maswavlebeli Teqvsmetis gverdiT wers eqvss.

_ daakvirdiT ricxvebs, ra aqvT erTnairi 6 da 16-s? ra aqvT gansxvavebuli?


_ rogori ricxvia eqvsi?

_ ramdeni erTeulia eqvsSi?

_ ramdeni aTeulia TeqvsmetSi? kidev ramdeni erTeulia?

_ romeli ricxvis momdevno ricxvia Teqvsmeti?

_ kidev rogor SeiZleba Teqvsmetis miReba?


_ Teqvsmeti metia/naklebi Tu TxuTmeti? ramdeniT?

_ ratom?

mocemuli savarjiSos mizania ricxv Teqvsmetis gacnoba.

meore gakveTilze maswavlebeli atarebs rigebs Soris Sejibrs: yofs dafas sam nawilad,

TiToeul nawilSi wers:

13+[]=10 15+[]=16 []+1=15

1 2 3 3 2 1 12 14 13

1+[]=14 []+14=15 15_[]=10

10 13 9 2 4 1 4 5 6

14_[]=13 []_1=14 10+[]=15

12 13 15 13 15 16 4 5 2

[]_4=10 16_[]=10 12+[]=13

15 14 13 8 6 7 5 1 4 da a. S.

rigebSi moswavleebis raodenobis mixedviT da mimarTavs klass:

_ saTiTaod gamodiT da SemoxazeT ricxvi, romelic unda Caiweros cariel adgilas. gamar-

150

jvebulia rigi, romelic swrafad da sworad Seasrulebs samuSaos.

savarjiSos mizania swori arCevanis gakeTebisa da ricxvebze Sesabamisi moqmedebebis Sesru-

lebis unar-Cvevis gamomuSaveba.

mesame gakveTilze maswavlebeli wers dafaze ricxvebs: 1, 16, 10, 6.

klass yofs oTxmoswavlian jgufebad, urigebs jgufebs TiTo Tabaxis furcels da mimarTavs maT:

_ dafaze dawerili ricxvebis gamoyenebiT SeadgineT tolobebi. gamarjvebulia jgufi, vinc

yvelaze met tolobas Seadgens sworad.

samuSaos damTavrebis Semdeg TiToeuli jgufi waradgens Tavis namuSevars. savarjiSos

mizania saazrovno da sakomunikacio unar-Cvevebis gamomuSaveba.


_ ramdeni samkuTxedia I rigSi?

_ ramdeni samkuTxedia II rigSi?




_ ramdeni yviTeli mTvarea?

_ ramdeni wiTeli mTvarea?

_ sul ramdeni mTvarea?

_ CawereT cariel ujrebSi sagnebis raodenobis aRmniSvneli ricxvi.

_ romelia TxuTmetis momdevno ricxvi?

_ TxuTmeti metia/naklebi Tu Teqvsmeti? ramdeniT?


_ gaaferadeT aTeuli lurjad, erTeulebi _ wiTlad.

_ ramdeni aTeulia pirvel naxatze? kidev ramdeni erTeulia?

_ erTi aTeuli da sami erTeuli erTad ramdenia?

_ rogori ricxvia cameti? da a. S.


_ daawereT skamebs Sesabamisi nomrebi.

_ yvelaze marjvniv mdgari skami ra nomeria?

_ TxuTmetis Semdeg ra nomeri skamia?

_ Teqvsmetis win ra nomeri skamia?

_ Teqvsmeti aris TxuTmetis momdevno ricxvi, TxuTmeti aris Teqvsmetis wina ricxvi.



_ rogor amoxseniT?

_ ratom?


_ gamoiangariSeT.

wuTSesveneba

samuSao rveuli


151


_ ra ricxvi CawereT pirvel ujraSi.

_ ratom?

_ cameti Sedgeba aTeulisa da kidev sami erTeulisagan da a. S.





_ rogor amoxseniT?

_ ratom?


_ romelia meti/naklebi? ramdeniT?

_ ra xerxiT daadgineT?


_ naxatebis mixedviT SeadgineT tolobebi.

mocemuli savarjiSoebis mizania ricxv Teqvsmetis gacnoba da misi gamoyeneba saganTa Sesabamisi

raodenobis aRsaniSnavad, imis dadgena, Tu ra adgili uWiravs ricxv Teqvsmets mimdevrobaSi, aseve

Teqvsmetis farglebSi Sesabamisi moqmedebebis, Sedarebis, problemis gadaWris unar-Cvevebis

gamomuSaveba.

wuTSesveneba

samuSao rveuli



_ SeadareT.


_ gamoiangariSeT.


_ SemoxazeT naxatis mixedviT Sedgenili toloba.



_ rogor amoxseniT?

_ ratom?


_ SemoxazeT figura, romliTac unda gagrZeldes mimdevroba.

152



wuTSesveneba

samuSao rveuli

gakveTili # 134-135









gakveTilis msvleloba:maswavlebeli klass yofs oTxmoswavlian jgufebad, urigebs jgufebs TiTo furcels, asaxe-

lebs jgufebidan konkretul moswavleebs da mimarTavs maT:

_ CaifiqreT raime Seswavlili orniSna ricxvi da daalageT merxze Sesabamisi raodenobis

Cxirebi.

maswavlebeli axla sxva moswavleebs asaxelebs jgufebidan da mimarTavs maT:

_ dawereT furcelze es ricxvi.

maswavlebeli isev mimarTavs jgufebidan konkretul moswavleebs:

_ dawereT furcelze mocemuli ricxvis wina da momdevno ricxvebi.

da bolos mimarTavs jgufebis darCenil wevrebs:

_ dawereT furcelze, ramdeni aTeuli da kidev ramdeni erTeulia am ricxvSi.

samuSaos damTavrebis Semdeg pirveli jgufi waradgens Tavis namuSevars ise, rom ar asaxelebs

Cafiqrebul ricxvs. maswavlebeli mimarTavs danarCen moswavleebs:

_ daasaxeleT pirveli jgufis mier Cafiqrebuli ricxvi.

analogiurad waradgens Sesrulebul samuSaos yvela jgufi.

savarjiSos mizania Seswavlili masalis gameoreba, aseve dakvirvebis, problemis gadaWris,

TanamSromlobis, mosmenis unar-Cvevebis ganviTareba.

meore gakveTilze maswavlebeli wers dafaze savarjiSoebs:

8 * [] = 9 [] * 4 = 9

2 * [] = 6 [] * 2 = 7

3 * [] = 10 [] * 4 = 8

4 * [] = 7 [] * 1 = 10

5 * [] = 8 [] * 5 = 9

da mimarTavs klass:

_ gadawereT savarjiSoebi da CawereT Sesabamisi ricxvi da niSani.

_ daakvirdiT savarjiSoebs. rogor or jgufad SeiZleba maTi ganawileba?

samuSaos damTavrebis Semdeg wyvilebi erTad amowmeben Sesrulebul savarjiSoebs.

savarjiSos mizania Seswavlili masalis gameoreba. savarjiSo xels uwyobs saazrovno (problemis

gadaWris, ariTmetikuli moqmedebebis Sesrulebis) da TviTSefasebis unar-Cvevevbis gamomuSavebas.


153


_ CawereT cariel wreebSi Sesabamisi ricxvebi.

_ ra ricxvi CawereT TxuTmetis Semdeg?

_ ra ricxvi CawereT aTis win? da a. S.

_ rogor aris ricxvebi dalagebuli?


_ amoxseniT amocana da CawereT cariel ujrebSi Sesabamisi ricxvebi.


_ CawereT Sesabamisi ricxvebi nimuSis mixedviT.


_ gamoiangariSeT.



_ daakvirdiT Caweril tolobebs, ras amCnevT?

samuSaos damTavrebis Semdeg wyvilebi erTad amowmeben erTmaneTis namuSevrebs.

wuTSesveneba

samuSao rveuli





_ gamoiangariSeT.





samuSaos damTavrebis Semdeg wyvilebi erTad amowmeben erTmaneTis namuSevrebs. savarjiSos

saSualebiT maswavlebeli amowmebs da afasebs, ramdenad sworad iyeneben moswavleebi SeZenil

codnas.

154

gakveTili # 136-137-138


gakveTilis mizani: moswavlem iswavlos ricxv Cvidmetis gamoyeneba saganTa Sesabamisi

raodenobis aRsaniSnavad, saazrovno unar-Cvevebis gamomuSaveba.






gakveTilis msvleloba:samuSao sruldeba wyvilebSi. maswavlebeli debs merxebze TiTo Tabaxis furcels da

mimarTavs wyvilebidan konkretul moswavleebs:

_ daalageT merxze romelime Seswavlili orniSna ricxvis Sesabamisi raodenobis Cxirebi.

maswavlebeli mimarTavs danarCen moswavleebs:

_ CawereT es ricxvi furclebze.

samuSaos damTavrebis Semdeg moswavleebi kiTxuloben Caweril ricxvebs.

Semdeg maswavlebeli mimarTavs klass:

_ dadeT merxze erTi aTeuli da kidev Svidi erTeuli raodenobis Cxiri.



_ aTi sagani da kidev Svidi sagani erTad aris Cvidmeti sagani.

_ e. i. erTi aTeuli da kidev Svidi erTeuli erTad aris Cvidmeti.

_ rogori ricxvia Cvidmeti?



_ romeli ricxvis momdevno ricxvia Cvidmeti?

_ kidev rogor SeiZleba Cvidmetis miReba?


_ Cvidmeti metia/naklebi Tu Teqvsmeti? ramdeniT?

_ rogor daadgineT?

mocemuli savarjiSos mizania ricxv Cvidmetis gacnoba.

meore gakveTilze maswavlebeli Tabaxis furcelze wers savarjiSoebs (mag.: 1+2=), debs

furclebs rigebSi pirvel merxebze da sTavazobs moswavleebs rigebs Soris Sejibrs:

_ pirvelma moswavleebma dawereT savarjiSos pasuxi, Semdeg gadaawodeT furceli meore

moswavles:

_ Tqven gaadideT savarjiSos pasuxi oriT da gadaawodeT furceli ukan mjdom moswavles.

_ Tqvenc gaadideT savarjiSos pasuxi oriT da a. S.


savarjiSos mizania swrafi da swori angariSis unar-Cvevis gamomuSaveba, aseve miRebuli

codnis mobilizeba da gamoyeneba.

mesame gakveTilze maswavlebeli atarebs analogiur samuSaos ricxvebis erTiT Semcirebaze.

Tabaxis furcelze dawerili pirveli savarjiSo: 17_1.


_ ramdeni yviTeli burTulaa?

_ ramdeni wiTeli burTulaa?

_ sul ramdeni burTula?


155

_ ramdeni cisferi varskvlavia?

_ ramdeni yviTeli varskvlavia?

_ sul ramdeni varskvlavia?

_ romelia Teqvsmetis momdevno ricxvi?



_ SeavseT figurebis raodenoba Cvidmetamde. CawereT Sesabamisi ricxvebi.

_ ramdeni sagania daxatuli?

_ ramdeni sagani daxateT?



_ rogor amoxseniT?

_ ratom?




_ SeadareT.

wuTSesveneba

samuSao rveuli



_ rogor amoxseniT?

_ ratom?




_ rogor daadgineT? da a. S.




_ daakavSireT nimuSis mixedviT.


_ gamoiangariSeT.


156


_ rogor amoxseniT?

_ ratom?

mocemuli savarjiSoebis mizania ricxv Cvidmetis gacnoba da misi gamoyeneba saganTa Sesa-

bamisi raodenobis aRsaniSnavad, aseve saazrovno unar-Cvevebis gamomuSaveba.

wuTSesveneba

samuSao rveuli







_ gadaabiT burTulebi TanmimdevrobiT.


_ mocemuli ricxvebidan amoarCieT ori iseTi ricxvi, romelTa jamic Cvidmetis tolia.


_ gadaxazeT zedmeti sityva.

_ romeli sityva gadaxazeT?

_ ratom?

_ daarqviT saxeli TiToeul jgufs? da a. S.

savarjiSos saSualebiT maswavlebeli amowmebs da afasebs, ramdenad sworad iyeneben moswavle-

ebi SeZenil codnas.

gakveTili # 139-140-141

gakveTilis Tema: orniSna ricxvebi 11-dan 20-mde

gakveTilis mizani: moswavlem iswavlos ricxv Tvrametis gamoyeneba saganTa Sesabamisi raode-

nobis aRsaniSnavad. saazrovno da sasicocxlo unar-Cvevebis gamomuSaveba.

saWiro masala: Tabaxis furclebi, danomrili bileTebi.





gakveTilis msvleloba:maswavlebeli urigebs moswavleebs TiTo Tabaxis furcels da mimarTavs klass: _ daxateT

furcelze aTi wiTeli da rva lurji sagani.

157

samuSaos dasrulebis Semdeg, maswavlebeli agrovebs namuSevrebs da amagrebs dafaze.

_ daakvirdiT Tqven mier Sesrulebul naxatebs, riT hgavs yvela naxati erTmaneTs?

_ yvela furcelze xatia sagnebis erTnairi raodenoba, aTi sagani wiTelia, rva ki lurji.

_ TiToeul furcelze erTad ramdeni sagania?


_ aTi sagani da kidev rva sagani erTad aris Tvrameti sagani.

_ e. i. erTi aTeuli da kidev rva erTeuli erTad aris Tvrameti.

_ rogori ricxvia Tvrameti?



_ romeli ricxvis momdevno ricxvia Tvrameti?

_ kidev rogor SeiZleba Tvrametis miReba?


_ Tvrameti metia/naklebi Tu Cvidmeti? ramdeniT?

_ rogor daadgineT?

mocemuli savarjiSos mizania ricxv Tvrametis gacnoba.

meore gakveTilze maswavlebeli urigebs moswavleebs sxvadasxva raodenobis muyaosagan

damzadebul fulis niSnebs (pirvel wyvils _ 13 da 15 TeTrs, meore wyvils 12 da 16 TeTrs da a. S.)

alagebs skamebs rigebad, moswavleebis raodenobis mixedviT da mimarTavs klass:

I 1 2 3 4 5

II 1 2 3 4 5

III 1 2 3 4 5

_ yvela Tqvengans sxvadasxva Tanxa aqvs. am TanxiT unda SeiZinoT bileTebi, bileTi 14 TeTri

Rirs. naxeT, vis ar hyofnis Tanxa bileTisaTvis da vis aqvs zedmeti. visac zedmeti fuli aqvs,

gaunawilos Tavisi Tanxa mas, visac fuli aklia (wyvilebSi).

Semdeg TiToeuli moswavle midis maswavleblTan da yidulobs bileTs, bileTis moxedviT

eZebs Tavis adgils da jdeba skamze (bileTebi danomrilia da gaferadebulia sam ferad. I rigi _

lurjad, II rigi _ yviTlad, II rigi _ wiTlad).

savarjiSos mizania Sefasebis, Sedarebis, TanamSromlobisa da miRebuli codnis praqtikulad

gamoyenebis unar-Cvevebis gamomuSaveba.

mesame gakveTilze maswavlebeli wers dafaze savarjiSoebs:

18_1 16_6 15_1 13_3

18_8 16_10 14+1 13_10

1+17 6+10 15_5 10+3

17+1 10+6 1+14 3+10 da a. S.

da mimarTavs klass:

_ gadaiwereT savarjiSoebi da gamoiangariSeT.

_ daukvirdiT savarjiSoebs, ras amCnevT?

savarjiSos mizania ricxvebze Sesabamisi moqmedebebis Sesrulebis, dakvirvebisa da daskvnis

gakeTebis unar-Cvevebis gamomuSaveba.


_ pirvel rigSi ramdeni oTxkuTxedia?

_ meore rigSi ramdeni oTxuTxedia?



_ aTeuli da 8 erTeuli erTad ramdenia?

_ pirvel rigSi ramdeni mwvane burTulaa?

_ meore rigSi ramdeni lurji burTulaa?

158

_ sul ramdenia?

_ CawereT.

_ romelia Cvidmetis momdevno ricxvi?



_ daxateT mocemuli ricxvis Sesabamisi raodenobis sagnebi.

_ aTeuli gaaferadeT lurjad, darCenili erTeulebi ki _ wiTlad.



_ rogor amoxseniT?

_ ratom?


_ daawereT saxlebs gamotovebuli nomrebi.

_ meramdenea mwvane saxli?

_ lurji? da a. S.

_ Tvrameti nomeri saxlis win ra nomeri saxli dgas?

_ Tormeti nomris Semdeg? da a. S.

_ Tvrameti aris Cvidmetis momdevno ricxvi, Cvidmeti ki _ Tvrametis wina ricxvi.


_ gamoiangariSeT.

wuTSesveneba

samuSao rveuli




_ ratom? da a. S.



_ rogor amoxseniT?

_ ratom?




_ SeadareT.



159


_ ratom? da a. S.



_ rogor amoxseniT?

_ ratom?

mocemuli savarjiSoebis mizania ricxv Tvrametis gacnoba da misi gamoyeneba saganTa

Sesabamisi raodenobis aRsaniSnavad, aseve saazrovno unar-Cvevebis gamomuSaveba.

wuTSesveneba

samuSao rveuli



_ SeadareT.






_ gamoiangariSeT.


_ gamoiyeneT SuqniSnis ferebi da gaaferadeT naxatebi sxvadasxvanairad.



gakveTili # 142-143


gakveTilis mizani: moswavlem iswavlos, rogor SeiZleba Sesrulebuli samuSaos Sefaseba. sasi-

cocxlo unar-Cvevebis gamomuSaveba (zogadi qcevis wesebi, pasuxismgebloba, TviTSefaseba).






160

gakveTilis msvleloba:maswavlebeli urigebs moswavleebs TiTo Tabaxis furcels da mimarTavs klass:

_ daakvirdiT saxelmZRvaneloSi mocemul naxatebs, Tqveni azriT, moswavlis swori

saqcielis gverdiT daxatuli oTxkuTxedi gaaferadeT mwvaned, arasworis gverdiT ki _ wiTlad.

rodesac moswavleebi daamTavreben gaferadebas, maswavlebeli mimarTavs maT:

_ amoiwereT Tabaxis furcelze gaferadebuli mwvane da wiTeli oTxkuTxedebis raodenoba.

_ suraTze daxatuli swori da araswori saqcielis raodenoba Tanabaria, e. i. mwvane da wiTeli

oTxkuTxedebis raodenobac Tanabari unda iyos. Tu Tqven romelime feris oTxkuTxedi meti

gaqvT, es niSnavs, rom saqcieli sworad ar aris Sefasebuli.

Semdeg maswavlebeli mimarTavs wyvilebs:

_ SeamowmeT erTmaneTis namuSevari.

samuSaos damTavrebis Semdeg maswavlebeli aZlevs saSualebas TiToeul wyvils, gamoTqvas

azri, ratom moswons an ar moswons esa Tu is saqcieli.

savarjiSo xels uwyobs sasicocxlo unar-Cvevebis (zogadi qcevis wesebi, pasuxismgebloba,

TviTSefaseba, Sesabamisi kavSirebis moZebna) gamomuSavebas.

meore gakveTilze maswavlebeli mimarTavs klass:

_ gadaSaleT samuSao rveulebi da mocemuli savarjiSoebi SeasruleT damoukideblad.

samuSao damTavrebis Semdeg maswavlebeli mimarTavs moswavleebs:

_ SeamowmeT Sesrulebuli savarjiSoebi. Tu, Tqveni azriT, savarjiSo Sesrulebulia sworad,

mocemuli ujra gaaferadeT mwvaned, Tu ara _ wiTlad.

_ daTvaleT gaferadebuli wiTeli da lurji ujrebis raodenoba. rogor SeasruleT samuSao?

savarjiSo xels uwyobs moswavles, iswavlos Sesrulebuli samuSaos Sefaseba.

saxemZRvaneloze muSaobasavarjiSo # 1maswavlebeli:

_ gaaferadeT naxatebi tolobebis Sesabamisad. gamoiangariSeT.

_ rogor gaaferadeT pirveli naxati?

_ ratom gaaferadeT ase? da a. S.



_ ra ricxvi CawereT pirvel tolobaSi?

_ ratom?


_ SeadareT.

_ daakvirdiT Canawerebs.

_ ras amCnevT?

_ e. i. mimatebisas raodenoba izrdeba, gamoklebisas ki _ mcirdeba.


_ daakvirdiT cxrils. ra wesiT aris ricxvebi Cawerili.


mocemuli savarjiSoebis mizania Seswavlili masalis gameoreba, aseve saazrovno unar-


wuTSesveneba

samuSao rveuli

161

gakveTili # 144-145-146


gakveTilis mizani: moswavlem iswavlos ricxv cxrametis gamoyeneba saganTa Sesabamisi raodenobis

aRsaniSnavad. saazrovno, sasicocxlo, sakomunikacio da SemoqmedebiTi unar-Cvevebis gamomuSaveba.

saWiro masala: Tabaxis furclebi, webo.





gakveTilis msvleloba:maswavlebeli urigebs wyvilebs Tabaxis furclebs: wyvilebidan erT moswavles aZlevs aT

furcels, meores ki _ cxras da mimarTavs maT:

_ ramdeni furceli aqvs TiToeul Tqvengans?

_ modiT, am furclebidan gavakeToT rveulebi. maswavlebeli exmareba TiToeul wyvils

rveulis akinZvaSi. samuSaos damTavrebis Semdeg maswavlebeli mimarTavs moswavleebs:

_ vnaxoT, ramdeni furcelia rveulSi.

_ aTi furceli da kidev cxra furceli erTad aris cxrameti furceli, e. i. erTi aTeuli da

kidev cxra erTeuli erTad aris cxrameti.


_ rogori ricxvia cxrameti?



Semdeg maswavlebeli 19-is gverdiT wers 9-s.

_ daakvirdiT ricxvebs, ra aqvT erTnairi 19-s da 9-s? ra aqvT gansxvavebuli?

Tu moswavleebs gauWirdebaT pasuxis gacema, maswavlebeli kiTxvebiT exmareba maT (kiTxvebi

mocemulia wina gakveTilebze, mag. # 130-131-132)

_ ramdeniT metia cxrameti cxraze?

_ axla danomreT rveulis furclebi.

_ romeli ricxvis momdevno ricxvia cxrameti?

_ rogor SeiZleba Tvrametidan miviRoT cxrameti?


_ cxrameti metia/naklebi Tu Tvrameti? ramdeniT?

mocemuli savarjiSos mizania ricxv cxrametis gacnoba, aseve moswavleebi praqtikulad

iyeneben ricxvebs numeraciisTvis.

meore gakveTilze maswavlebeli yofs klass oTxmoswavlian jgufebad, urigebs jgufebs

Tabaxis furclebs, sadac weria ricxvebi, mag., 1, 19, 17, 10, 9, 6, 5, 12 da mimarTavs jgufebs:

_ mocemuli ricxvebidan amoarCieT ricxvebi, romlebidanac SeiZleba cxrametis miReba da

SeadgineT am ricxvebiT tolobebi da amocanebi.


savarjiSo xels uwyobs saazrovno (problemis gadaWra, ariTmetikuli moqmedebebis Seruleba),

sasicocxlo (TanamSromloba), sakomunikacio (namuSevris wardgenas, sxvisi azris gaTvaliswineba)

da SemoqmedebiTi unar-Cvevebis gamomuSavebas.

mesame gakveTilze maswavlebeli wers dafaze savarjiSoebs, mag.:

10_3_3= 9+1+1= 8_4_4= 6+4+4=

5+5+5= 8_1_1= 9_4_4= 10_5_5=

12_2_2= 7+3+3= 2+3+3= 6+4+5=

3+3+3= 6_3_3= 1+4+4= 9_3_3=

da mimarTavs klass:

_ gamoiangariSeT.

samuSao sruldeba damoukideblad. samuSaos damTavrebis Semdeg wyvilebi afaseben erTmaneTis

162

namuSevrebs maswavlebeli:

_ daakvirdiT savarjiSoebs, ras amCnevT?

_ e. i. ricxvs akldeba an emateba toli ricxvebi.

savarjiSos mizania Seswavlili masalis gameoreba, aseve igi xels uwyobs saazrovno unar-

Cvevis ganviTarebas.


_ ramdeni samkuTxedia pirvel rigSi?

_ ramdeni samkuTxedia meore rigSi?



_ erTi aTeuli da cxra erTeuli erTad ramdenia?

_ ramdeni wiTeli wrea?

_ ramdeni lurji wrea?

_ sul ramdeni wrea?

_ romelia 18-is momdevno ricxvi?

_ CawereT ujrebSi sagnebis raodenobis aRmniSvneli ricxvi.


_ gazardeT wreebis raodenoba 9-iT. gaaferadeT aTeuli lurjad, darCenili erTeulebi ki

sxvadasxvaferad.


_ erTi aTeuli da cxra erTeuli erTad ramdenia?

_ rogor ricxvia cxrameti? da a. S.



_ rogor amoxseniT?

_ ratom?


_ daawereT maisurebs Sesabamisi nomrebi.

_ yvelaze marjvniv mdgomi bavSvis maisuri ra nomeria?

_ Tvrametis Semdeg ra nomeri aweria bavSvs maisurze?

_ Tvrametis win? da a. S.


_ gamoiangariSeT.

wuTSesveneba

samuSao rveuli


_ CawereT cariel wreebSi Sesabamisi ricxvebi.

_ ra ricxvi CawereT pirvel wreSi?

_ ratom?

_ meore wreSi?

_ ratom? da a. S.

163



_ rogor amoxseniT?

_ ratom?





_ SeadareT.

_ varsklavebis nacvlad CawereT `<~ , `>~ an `=~



_ romelia Cvidmetis wina ricxvi? Tvrametis momdevno? da a.S.

mocemuli savarjiSoebis mizania ricxvi cxrametis gamoyeneba saganTa Sesabamisi raodenobis

aRsaniSnavad, dadgena Tu ra adgili uWiravs ricxv cxramets mimdevrobaSi, aseve cxrametis

farglebSi ricxvebze Sesabamisi moqmedebebis Sesruleba, Sedarebis, problemis gadaWris unar-


wuTSesveneba

samuSao rveuli



_ gamoiangariSeT.



_ ra xerxiT daadgineT? (dawyvileba).


_ CawereT rveulebSi:

_ 9-isa da 2-is jami.

_ 18-isa da 1-is jami.


_ SeadareT.

_ daakvirdiT Canawerebs, ras amCnevT?

_ e. i. mimatebisas sawyisi raodenoba izrdeba, gamoklebisas ki mcirdeba, amitom 18+1 > 18_1.



164

_ rogor amoxseniT?

_ ratom?



wuTSesveneba

samuSao rveuli

gakveTili # 147-148-149


gakveTilis mizani: moswavlem iswavlos ricxv ocis gamoyeneba saganTa Sesabamisi raodenobis


saWiro masala: qaRaldisagan damzadebuli fulis niSnebi (1-lariani). saWiro masalas moswavleebi

Sromis gakveTilze amzadeben.





gakveTilis msvleloba:maswavlebeli debs TiTo merxze qaRaldisagan damzadebul 20 cal erT larians da mimarTavs

moswavleebs:

_ daalageT larianebi aTeulebad.

_ ramdeni aTeulia?

_ gias da nias ori burTis yidva undaT. TiTo burTi 10 lari Rirs. ra Tanxa dasWirdebaT nias

da gias burTebisaTvis?

_ dadeT gias burTisaTvis saWiro Tanxa Tqvengan marcxniv, nias burTisaTvis saWiro ki _ marjvniv.

_ vnaxoT, ra Tanxa dasWirdeba orive burTs erTad.


_ 1 aTeuli da 1 aTeuli erTad aris oci. e. i. ori aTeuli aris oci.

_ rogori ricxvia oci?


_ kidev rogor SeiZleba ocis miReba?


_ cxrameti metia/naklebi Tu oci? ramdeniT? rogor daadgineT?

savarjiSos mizania ricxv ocis gacnoba da gageba, rom oci Sedgeba ori aTeulisagan.

meore gakveTilze maswavlebeli urigebs moswavleebs maT mier damzadebul rveulebs,

furclebs naxatebiT mag.:

da mimarTavs wyvilebs:

_ SeadgineT tolobebi naxatebis mixedviT da CawereT Tqven mier damzadebul rveulebSi.

_ moifiqreT patara moTxroba, sadac gamoyenebuli iqneba ricxvi oci. CawereT rveulSi.

samuSaos dasrulebis Semdeg wina merxze mjdomi wyvili ucvlis rveuls ukana merxze mjdom wyvils.

maswavlebeli:

_ yuradRebiT waikiTxeT erTmaneTis namuSevrebi, Tqveni azriT, Tu samuSao sworad aris

Sesrulebuli, miuxateT namuSevars mwvane oTxkuTxedi, Tu ara _ wiTeli.

samuSaos dasrulebis Semdeg wyvilebi waradgenen TavianT Sefasebebs da asabuTeben, ratom

CaTvales namuSevari sworad an arasworad.

165

samuSao xels uwyobs SemoqmedebiTi, sacicocxlo da sakomunikacio unar-Cvevebis gamomuSavebas

(TanamSromloba, pasuxismgebloba, Sefaseba, argumentacia, mosmena).

mesame gakveTilze maswavlebeli kidebs dafaze or formats, sadac sxvadasxva feris flomas-

terebiT weria:

10+1= 10+6= 11+1= 16+1=

10+2= 10+7= 12+1= 17+1=

10+3= 10+8= 13+1= 18+1=

10+4= 10+9= 14+1= 19+1=

10+5= 10+10= 15+1=

20_1= 15_1= 20_10= 15_5=

19_1= 14_1= 19_9= 14_4=

18_1= 13_1= 18_8= 13_3=

17_1= 12_1= 17_7= 12_2=

16_1= 11_1= 16_6= 11-1=

saTiTaod gamodiT da miuwereT savarjiSoebs pasuxebi.

moswavleebis mier damzadebul TvalsaCinoebas maswavlebeli kidebs saklaso oTaxSi.


_ ramdeni yviTeli varsklavia?

_ ramdeni vardisferi varsklavia?

_ sul ramdeni varsklavia?

_ ori aTeuli erTad ramdenia?

_ ramdeni mwvane foTolia?

_ ramdeni yavisferi foTolia?

_ sul ramdeni foTolia?

_ cxrametis momdevno ricxvi romelia?



_ gaaferadeT aTeulebi yviTlad, darCenili erTeulebi ki wiTlad.

_ daakvirdiT naxatebs, romeli naxatia yvelaze grZeli? mokle? ratom?

_ e.i. sadac ujrebis raodenoba metia, is naxatia yvelaze grZeli.



_ rogor amoxseniT?

_ ratom?


_ daawereT droSebs Sesabamisi ricxvebi.

_ cxrameti nomeri droSis win ra nomeri droSaa?

_ cxrametis Semdeg? da a. S.


_ gamoiangariSeT.



166

_ rogor amoxseniT?

_ ratom?

wuTSesveneba

samuSao rveuli



_ ra ricxvi CawereT pirvel ujraSi? ratom? da a. S.





_ rogor amoxseniT?

_ ratom?


_ gaaferadeT aTeulebi lurjad, darCenili erTeulebi ki wiTlad.

_ CawereT cariel ujrebSi raodenobis aRmniSvneli ricxvebi.

_ daakvirdiT naxatebs, romeli svetia yvelaze maRali? dabali? rogor ggoniaT, ratom?

_ e. i. sadac ujrebis raodenoba metia, is naxatia yvelaze maRali.

savarjiSoebis mizania ricxv ocis gacnoba.


_ CawereT `+~ an `_~.

_ ra niSani CawereT savarjiSoSi? ratom? da a. S.

wuTSesveneba

samuSao rveuli



_ gamoiangariSeT.




_ daakvirdiT naxatebs, ra icvleba?


167


_ SeadareT.


_ gamoiangariSeT.



wuTSesveneba

samuSao rveuli

* * *

mexuTe TavSi ganxiluli masalis Seswavlis Sedegad moswavles SeuZlia 20-is farglebSi:

• miTiTebuli ricxvis Sesabamisi raodenobis jgufis gamoyofa grovaSi.

• ricxvebis wakiTxva da maTi gamosaxva.

• nebismieri ricxvidan win da ukan daTvla, mocemuli ricxvis wina da momdevno ricxvis

dasaxeleba.

• saganTa mowesrigebul erTobliobaSi miTiTebuli sagnis rigis dasaxeleba. mocemuli

TanmimdevrobiT sagnebis ganTavseba.

• erovnuli fulis niSnebidan zogierTis dasaxeleba da gansxvaveba.

• akavSirebs `gaadide~, `Seamcire~_ Sekreba-gamoklebis moqmedebasTan.

• Seavsos saganTa raodenoba miTiTebul ricxvamde.

• Seusabamos ricxvi raodenobas da piriqiT.

• raodenobis Sefaseba da Sedareba.

• ricxvebze Sesabamisi moqmedebebis Sesruleba.

• yofiTi daniSnulebis sagnebSi an ilustraciebSi brtyeli geometriuli figuris dasaxeleba

da amocnoba.

• Sesabamisi terminebisa da aRniSvnebis sworad gamoyeneba.

• ori mimdevrobis erTmaneTTan Sedareba, msgavseba-gansxvavebis povna.

• mimdevrobaSi kanonzomierebis dadgena da gagrZeleba.

gakveTilebze Catarebuli individualuri, wyvilSi da jgufuri savarjiSoebi xels uwyobs

saazrovno (ricxvebze Sesabamisi moqmedebebis Sesruleba, amocanis amoxsna, Sedareba, Sefaseba,

problemis gadaWra), sasicocxlo (drosa da sivrceSi orientacia, zogadi qcevis wesebi, TanamSrom-

loba, pasuxismgebloba, TviTSefaseba), sakomunikacio (mosmena, argumentacia), SemoqmedebiTi

(SemoqmedebiTi aqtivoba) unar-Cvevebis gamomuSavebas.

168

VI Tavi

Sekreba-gamokleba 20-is farglebSi

am TavSi warmodgenili gakveTilebis mizania ocis farglebSi Sekreba-gamoklebis martivi

xerxis swavleba da Seswavlili masalis gameoreba.

iseve, rogorc wina TavebSi, savarjiSoebi isea SerCeuli, rom maqsimalurad xels uwyobs

saazrovno, sakomunikacio da SemoqmedebiTi unar-Cvevebis ganviTarebas.

savarjiSoebis umetesoba sruldeba damoukideblad, rac saSualebas aZlevs maswavlebels,

daadginos, ramdenad SeuZlia moswavles miRebuli codnis gamoyeneba aRniSnuli samuSaos

Sesrulebisas.

gakveTili # 150-151

saswavlomiznebi


droisganawileba

resursebi Semowmeba

moswavle gaecnos,

Tu rogor SeiZleba

moqmedeba Sekrebis

Sesruleba ocis

farglebSi.

saazrovno unar-

Cvevebis (ricxveb-

ze Sesabamisi

moqmedebebis

Sesruleba, prob-

lemis gadaWra)

gamomuSaveba.

wyvilSi

individualuri

1) 10 wT.

2) 15 wT.

3) 5 wT.

wuTSesveneba 3 wT.

saTvleli

Cxirebi.

savarjiSo

# 3


1) aqtiuri

savarjiSo.

2) saxelmZRva-

neloze

muSaoba.

3) samuSao

rveuli.

gakveTilis Tema: Sekreba-gamokleba 20-is farglebSi.

gakveTilis mizani: moswavle gaecnos, rogor SeiZleba moqmedeba Sekrebis Sesruleba ocis

farglebSi. saazrovno unar-Cvevebis (ricxvebze Sesabamisi moqmedebebis Sesruleba, problemis

gadaWra) gamomuSaveba.

saWiro masala: Cxirebi.






_ dadeT merxze sami Cxiri, Semdeg daumateT ori Cxiri.

_ sul ramdeni Cxiria? SevadginoT toloba.

maswavlebeli dafaze wers tolobas: 3+2=5.

_ rogori ricxvebia 3, 2 da 5? (erTniSna).

_ e. i. 3 erTeuls mivumateT 2 erTeuli da miviReT 5 erTeuli.

_ axla merxze dadeT cameti Cxiri.

_ rogori ricxvia cameti? (orniSna).

_ ramdeni aTeulisagan da erTeulisagan Sedgeba cameti?

_ ramdeniT metia cameti samze?

169

_ axla camet Cxirs daumateT ori Cxiri.

_ sul ramdeni Cxiria? CavweroT toloba.

maswavlebeli dafaze wers tolobas: 13+2=15.

_ daakvirdiT dafaze Caweril tolobebs. ras amCnevT?

maswavlebeli aZlevs moswavleebs mofiqrebis saSualebas, ismens maT pasuxebs da Semdeg

exmareba maT:

_ Tu daukvirdebiT, roca orniSna ricxvs umatebT erTniSna ricxvs, mag.,

13+2, jer unda SevkriboT erTeulebi da Semdeg davumatoT aTeuli.

Semdeg maswavlebeli imeorebs analogiur savarjiSos sxvadasxva raodenobis CxirebiT.

savarjiSos saSualebiT moswavleebi ecnobian ricxvebze Sekrebis moqmedebis Sesrulebis

erT-erT xerxs.

Semdeg gakveTilze maswavlebeli karnaxobs moswavlebs savarjiSoebs, mag.:

_ 12 gaadide 2-iT; 18 Seamcire 3-iT da a. S.

_ pirveli Sesakrebia 3, meore _ 4, ipove jami. pirveli Sesakrebia 13, meore _ 4, ipove jami da a. S.

samuSaos dasrulebis Semdeg moswavleebi kiTxuloben namuSevrebs.

savarjiSos mizania, moswavleebi gaecnon Sekrebis Sesrulebis erT-erT xerxs asve yuradRebis

koncentracia da mobilizeba.


_ ramdeni kubiki aqvs nias?

_ rogor daadgineT?

_ ramdeni kubiki aqvs gias?

_ rogor daadgineT?

_ sul ramdeni kubiki aqvs gias?

_ rogor miumateT ToTxmets ori?


_ gamoiangariSeT.

_ ras amCnevT?


_ SeadareT.

wuTSesveneba

samuSao rveuli


_ CawereT amocanis pirobaSi gamotovebuli ricxvi da amoxseniT amocana.

_ rogor amoxseniT?

_ ratom?


_ SeadareT.


_ gamoiangariSeT.

10 3

170


_ gamoiangariSeT.


_ gamoiangariSeT.



_ daaxloebiT ramdeni kanfetia meore qilaSi?

_ CawereT Sesabamisi ricxvi ujraSi.

gakveTili # 152-153


gakveTilis mizani: moswavle gaecnos, rogor SeiZleba moqmedeba gamoklebis Sesruleba.







gakveTilis msvleloba: maswavlebeli klass yofs oTxmoswavlian jgufebad, urigebs jgufebs Tabaxis furclebs,

sadac weria, mag.: 5_2, 15_2, 6_3, 16_3, 4_1, 14_1, 3_2, 13_2, mimarTavs klass:


maswavlebeli aZlevs moswavleebs mofiqrebis saSualebas, Semdeg ismens maT pasuxebs, TiToeuli

jgufis mier Sesrulebul savarjiSoebs wers dafaze da mimarTavs moswavleebs:

_ Cxirebis saSualebiT SeamowmoT, swored aris Tu ara tolobebi Cawerili.

_ daakvirdiT tolobebs, ra xerxiT aris gamokleba Sesrulebuli?

5_2=3

15_2=13

_ ramdeni aTeulia TxuTmetSi? kidev ramdeni erTeulia?

_ jer erTeuls unda gamovakloT erTeuli da Semdeg davumatoT aTeuli.

Semdeg maswavlebeli wers dafaze: 5+2=7 5_2=3

_ gavixsenoT, ra hqviaT wevrebs Sekrebisas.

_ gamoklebisasac maT TavianTi saxelebi aqvT.

_ ricxvs, romelsac unda gamovakloT, hqvia saklebi.

_ ricxvs, romelic akldeba, maklebi hqvia.

_ xolo miRebul Sedegs _ sxvaoba.

maswavlebeli tolobebis qveS akeTebs Canawers: saklebi _ maklebi = sxvaoba.Semdeg maswavlebeli imeorebs analogiur savarjiSos sxvadasxva raodenobis CxirebiT,

moswavleebi asaxeleben saklebs, maklebs da sxvaobas.

savarjiSos saSualebiT moswavleebi ecnobian ricxvebze gamoklebis moqmedebis Sesrulebis

erT-erT xerxs.

meore gakveTilze maswavlebeli dafaze wers Semdeg gamosaxulebebs:

10 5

171

11_1

12_2

13_3

. . .

moswavleebma unda gadaweron, gaagrZelon Canawerebi da gamoTvalon.

saxelmZRvaneloze muSaoba


_ ramdeni kubiki aqvs nias?

_ ramden kubiks iRebs?

_ ramdeni kubiki darCa nias?

_ ra moqmedeba SeasruleT?

_ ramdeni kubiki aqvs gias?

_ ramden kubiks iRebs?

_ ramdeni kubiki darCa gias?

_ ra moqmedeba SeasruleT?

_ rogor gamoakeliT 15-s 2?


_ SeasruleT savarjiSoebi Cxirebis daxmarebiT.

_ rogor gamoakeliT 15-s 1? da a. S.



_ rogor amoxseniT?

_ ratom?


_ ramdeni fanqari SeiZleba hqondes gias?

_ CamoTvaleT da CawereT yvela SesaZlo varianti.

wuTSesveneba

samuSao rveuli


_ gamoiangariSeT.

_ rogor gamoakeliT 19-s 3? da a. S.



_ rogor amoxseniT?

_ ratom?


_ gamoiangariSeT.

172


_ gamoiangariSeT.


_ SemoxazeT aTeuli. CawereT, ramdenia.

_ mocemuli ricxvebidan SemoxazeT ricxvi, romelic, Tqveni azriT, Seesabameba daxatuli

sagnebis raodenobas.

wuTSesveneba

samuSao rveuli

gakveTili # 154-155


gakveTilis mizani: Seswavlili masalis gameoreba. saazrovno unar-Cvevebis gamomuSaveba.





gakveTilis msvleloba:maswavlebeli dafaze wers ricxvebs or rigad:

9, 8, 7, . . . . . . . . . . . 1.

19, 18, 17, . . . . . . . . . . . 11.

da mimarTavs moswavleebs:

_ CawereT TiToeul rigSi Sesabamisi ricxvebi.

samuSaos damTavrebis Semdeg moswavleebi kiTxuloben Caweril ricxvebs.

maswavlebeli:

_ ris mixedviTaa Cawerili ricxvebi rigebSi?

_ SeadareT erTmaneTis qveS dawerili ricxvebi erTmaneTs, ras amCnevT?

_ e.i. II rigis yvela ricxvi aTiT metia I rigis ricxvebze.

_ rogor or jgufad SeiZleba I da II rigis ricxvebis dayofa?

savarjiSos mizania Seswavlili masalis gameoreba, aseve dakvirvebis, Sedarebis, daskvnis

gakeTebis unar-Cvevis gamomuSaveba.

meore gakveTilze maswavlebeli dafaze wers moswavleebis raodenobis Sesabamis savar-

jiSoebs da sTavazobs rigebs Soris Sejibrs:

9_1=2+ ... 4+3=5+ ... 8+2=6+ ...

5_3=9_ ... 7_5=6_ ... 10_3=5+ ... da a. S.

maswavlebeli:

_ saTiTaod gamodiT da CawereT Sesabamisi ricxvebi. gamarjvebulia rigi, romelic swrafad

da sworad Seasrulebs samuSaos.

savarjiSos mizania Seswavlili masalis gameoreba. savarjiSo aseve xels uwyobs dakvirvebis,

swrafi azrovnebis, gadawyvetilebis miRebis unar-Cvevis ganviTarebas.


_ daawereT saxlebs Sesabamisi nomrebi.

_ ra nomer saxlSi cxovrobs nif-nifi? nuf-nufi? naf-nafi?

173


_ gamoiangariSeT.

_ daakvirdiT Caweril tolobebs. ras amCnevT?

_ e. i. SesakrebTa gadanacvlebiT jami ar icvleba.


_ gamoiangariSeT.

_ daakvirdiT Caweril tolobebs ras amCnevT?

_ e. i. Tu jams gamovaklebT erT Sesakrebs, miviRebT meore Sesakrebs.


_ romeli figura ikavebs met adgils? ratom?

_ e. i. is figura ikavebs met adgils, romelSic ujrebis raodenobaa meti.

wuTSesveneba

samuSao rveuli



_ daakvirdiT naxats, daasaxeleT fulis niSnebi.

_ ra Rirs TiToeuli sagani?

_ ris yidva SeuZlia TiToeul bavSvs?


_ gamoiangariSeT.




maTgani asabuTebs, Tu ratom CaTvala sworad an arasworad namuSevari.

wuTSesveneba

samuSao rveuli

damatebiTi savarjiSoebi.

a) 2 + [] = 3 4 + [] = 6 11 + [] = 15 18 + [] = 19

12 + [] = 13 14 + [] = 16 1 + [] = 5 8 + [] = 9

[] + 2 = 12 [] + 3 = 18 [] + 6 = 17 [] + 4 = 20

[] + 2 = 2 [] + 3 = 8 [] + 6 = 7 [] + 4 = 10

b) ezoSi 5 bavSvi TamaSobs. ramdeni bavSvi unda daematos, rom bavSvebis raodenoba gaxdes 7?

g) ezoSi 15 bavSvi TamaSobs. ramdeni bavSvi unda daematos, rom bavSvebis raodenoba gaxdes 17?

d) 19 _ [] = 18 20 _ [] = 15 15 _ [] = 12 17 _ [] = 12

9 _ [] = 8 10 _ [] = 5 5 _ [] = 2 7 _ [] = 2

[] _ 2 = 6 [] _ 3 = 13 [] _ 4 = 16 [] _ 1 = 14

[] _ 2 = 16 [] _ 3 = 3 [] _ 4 = 6 [] _ 1 = 4

174

gakveTili # 156-157


gakveTilis mizani: moswavlem iswavlos 20-is farglebSi Sekrebis Sesruleba martivi xerxiT.

saazrovno da sakomunikacio unar-Cvevebis gamomuSaveba.

saWiro masala: wiTeli, lurji da mwvane samkuTxedebi (saWiro masalas moswavleebi amzadeben

Sromis gakveTilze).





gakveTilis msvleloba:maswavlebeli yofs klass oTxmoswavlian jgufebad, urigebs jgufebs muyaos samkuTxedebs:

I jgufi _ 9 wiTeli, 1 lurji, 1 mwvane samkuTxedi.

II jgufi _ 9 wiTeli, 1 lurji, 2 mwvane samkuTxedi.

III jgufi _ 9 wiTeli, 1 lurji, 3 mwvane samkuTxedi da a. S.

maswavlebeli mimarTavs moswavleebs:

_ daajgufeT figurebi ferebis mixedviT.

_ axla SeadgineT tolobebi dajgufebuli figurebis Sesabamisad.

samuSaos damTvrebis Semdeg TiToeuli jgufi kiTxulobs daweril tolobebs, maswavlebeli

ki dafaze wers: 9+1+1=11 9+1+2=12 9+1+3=13 da a. S.

kvlav mimarTavs jgufebs:

_ I jgufs wiTlis garda sxva feris kidev ramdeni samkuTxedi aqvs?

_ Tqvens cxra wiTel samkuTxeds miumateT ori samkuTxedi.

_ ra xerxiT miumateT cxras ori?

_ e. i. cxras miumateT jer erTi da Semdeg kidev erTi.

_ II jgufs wiTlis garda sxva feris kidev ramdeni samkuTxedi aqvs?

_ Tqvens cxra wiTel samkuTxeds sami samkuTxedi.

_ ra xerxiT miumateT cxras ori?

_ e. i. cxras miumateT jer erTi da Semdeg kidev ori da a. S.

_ daakvirdiT dafaze Caweril tolobebs, ras amCnevT?

maswavlebeli aZlevs mofiqrebis saSualebas, Semdeg exmareba maT:

_ yvela SemTxvevaSi figurebis raodenoba jer SevavseT aTamde, Semdeg davumateT darCenili

raodenoba. savarjiSo xels uwyobs, moswavleebma dainaxon, rogor SeiZleba advili xerxiT (meore

Sesakrebis daSliT da pirveli Sesakrebis aTamde Sevsebis gziT) 20-is farglebSi ricxvebze Sesabamisi

moqmedebebis Sesruleba.

meore gakveTilze maswavlebeli imeorebs savarjiSos, cvlis wiTeli samkuTxedebis raodenobas.



_ gamoiangariSeT.

_ ra ricxvi CawereT pirvel savarjiSoSi?

_ ratom?

_ rogor miumateT cxras ori? da a. S.



_ rogor amoxseniT?

175

_ ratom?



wuTSesveneba

samuSao rveuli


_ gamoiangariSeT.



_ rogor amoxseniT?

_ ratom?


_ SeadareT.




_ gaadideT mocemuli ricxvebi jer erTiT, Semdeg ki samiT.

_ sul ramdeniT gadidda mocemuli ricxvebi?


_ gaagrZeleT.

savarjiSoebis mizania, moswavlem iswavlos ricxvebze Sesabamisi moqmedebebis Sesruleba

ocis farglebSi, savarjiSoebi aseve xels uwyobs saazrovno unar-Cvevis gamomuSavebas.

wuTSesveneba

samuSao rveuli

gakveTili # 158-159


gakveTilis mizani: moswavlem iswavlos 20-is farglebSi gamoklebis Sesruleba martivi xerxiT.






176

gakveTilis msvleloba:maswavlebeli klass yofs oTxmoswavlian jgufebad, urigebs jgufebs Tabaxis furclebs,

sadac weria, mag.: 11_2, 12_3, 13_4, 4_1, 14_5 da mimarTavs klass:


maswavlebeli aZlevs moswavleebs mofiqrebis saSualebas, Semdeg ismens maT pasuxebs,

TiToeuli jgufis mier Sesrulebul savarjiSoebs wers dafaze da mimarTavs moswavleebs:

_ rogor gamovakeliT TerTmets ori?

_ maswavlebeli SekiTxvebiT exmareba moswavleebs:

_ TerTmets rom erTi gamovakloT, ramdenia?

_ aTs rom erTi gamovakloT, ramdenia?

_ sul ramdeni gamovakeliT TerTmets?

_ daakvirdiT dafaze Caweril tolobebs, ras amCnevT?

_ e. i yvela SemTxvevaSi raodenoba SevamcireT aTamde da Semdeg gamovakeliT darCenili

raodenoba da a. S. maswavlebeli ganixilavs kidev ramdenime SemTxvevas.

savarjiSo xels uwyobs moswavleebs, dainaxon, Tu rogor SeiZleba advili xerxiT 20-is

farglebSi ricxvebze Sesabamisi moqmedebebis Sesruleba.

meore gakveTilze maswavlebeli urigebs wyvilebidan TiTo moswavles qaRaldis TeTrebs,

mag.: erTi _ 5-TeTriani, ori _ 1-TeTriani, oTxi _ 2-TeTriani da mimarTavs wyvilebs:

_ mieciT Tqvens megobars Tanxis nawili (TiToeul Tanxas maswavlebeli asaxelebs).

samuSaos damTavrebis Semdeg maswavlebeli ekiTxeba TiToeul wyvils:

_ ra Tanxa mieci Sens megobars?

_ rogor gamoakeli 11-s 2?

savarjiSo xels uwyobs ricxvebze Sesabamisi moqmedebebis Sesrulebis unar-Cvevebis gamomu-

Savebas, aseve sasicocxlo unar-Cvevebis gamomuSavebas.


_ gamoiangariSeT.

_ CawereT Sesabamisi ricxvi.

_ ra ricxvi CawereT pirvel savarjiSoSi?

_ ratom?

_ rogor gamoakeliT Tormets sami? da a. S.



_ rogor amoxseniT?

_ ratom?





_ gamoiangariSeT.



_ rogor amoxseniT?

_ ratom?

177




_ SeadareT.


_ SeamcireT mocemuli ricxvebi 5-iT.


_ gaagrZeleT.

_ rogori figurebiT iwyeba mimdevroba? Semdeg?

_ rogori figurebi iqneba momdevno?

savarjiSoebis mizania, moswavlem iswavlos 20-is farglebSi ricxvebze Sesabamisi moqmedebebis

Sesruleba. aseve xeli uwyobs saazrovno unar-Cvevebis gamomuSavebas.

wuTSesveneba

samuSao rveuli

damatebiTi savarjiSoebi.

a) baRSi 9 atmis da 3 msxlis xe darges. sul ramdeni xea baRSi?

b) erT Taroze 12 wignia, meoreze _ 4-iT meti. ramdeni wignia meore Taroze?

g) dimitrim 12 kanfetidan 3 SeWama, ramdeni kanfeti darCa dimitris?

d) anas 14 rveuli aqvs, ninos _ 5-iT naklebi. ramdeni rveuli aqvs ninos?

e) 11 _ 2 + 3; 6 + 7 _ 2; 9 + 3 + 2; 9 + 5 + 1;

8 + 3 _ 2; 5 + 6 _ 1; 8 + 5 _ 1; 5 + 7 + 2;

9 + 4 _ 1; 4 + 7 _ 1; 7 + 4 + 3; 6 +4 + 1;

7 + 5 _ 3; 8 + 4 + 1; 6 + 8 _ 1; 8 + 2 _ 3.

gakveTili # 160-161



iyeneben moswavleebi SeZenil codnas.





gakveTilis msvleloba: maswavlebeli wers dafaze:

5

43

38

7

2

6

5

48

39

7

2

6

5

43

38

7

2

6I IIIII

16 _ 17 _ 15 _

178

_ saTiTaod gamodiT da CawereT tolobebi. gamarjvebulia rigi, romelic swrafad da sworad

Seasrulebs samuSaos.

Semdeg gakveTilze maswavlebeli wers dafaze ricxv 20-s da mimarTavs moswavleebs:

_ CawereT, rogor SeiZleba 20-dan misi wina ricxvis miReba, Semdeg miRebuli ricxvidan misi

wina ricxvis miReba da a. S.

samuSaos damTavrebis Semdeg maswavlebeli amowmebs namuSevrebs.

savarjiSos mizania Seswavlili masalis gameoreba.





_ gamoiangariSeT.




_ SeavseT cxrilebi nimuSis mixedviT.


wuTSesveneba

samuSao rveuli


_ SeadgineT savarjiSoebi nimuSis mixedviT.

_ waikiTxeT Sedgenili savarjiSoebi.


_ gamoiangariSeT.


_ SeadareT.


_ SeavseT cxrilebi nimuSis mixedviT.


_ gamoiangariSeT.


179

* * *

saxelmZRvaneloSi miwodebuli masalis Seswavlis Sedegad moswavles SeuZlia:

• Seqmnas mocemuli ricxvis Sesabamisi saganTa raodenoba da piriqiT _ saganTa raodenobas

Seusabamos ricxvi.

• ricxvebis Cawera da wakiTxva, maTi gamosaxva sxvadasxva modelis gamoyenebiT.

• miTiTebuli ricxvis Sesabamisi raodenobis jgufis gamoyofa grovidan.

• nebismieri ricxvidan win da ukan daTvla, mocemuli ricxvis wina da momdevno ricxvis dasaxeleba.

11-dan 20-mde ricxvebis saxelwodebis ganmarteba.

• sagnis rigis dasaxeleba. mocemuli TanmimdevrobiT sagnebis ganTavseba.

• rigobiTi ricxviTi saxelebis gamoyeneba movlenaTa an moqmedebaTa Tanmimdevrobis aRsawerad.

• nulisa da misi aRmniSvneli simbolos gamoyeneba.

• erevnuli fulis niSnebis dasaxeleba (20-is farglebSi).

• Sekreba/gamokleba/toloba da Sedegis cnebebis aRwera sxvadasxva konteqstSi.

• ricxvebs Soris damokidebulebis aRwera.

• zepiri angariSisas erTis toli bijiT Tvlis gamoyeneba.

• Sekreba-gamoklebis moqmedebaTa urTierTSebrunebulobis Cveneba.

• mocemuli grovisaTvis, am grovis miTiTebul raodenobamde Sesavsebad saWiro damatebiTi

raodenobis dasaxeleba.

• `-iT metoba/naklebobis~ Skreba-gamoklebis moqmedebebTan dakavSireba.

• saganTa dawyvilebiT raodenobebis Sedareba, Sesabamisi terminebisa da aRniSvnebis gamoyeneba,

gansxvavebis gansazRvra.

• mimdevrobis mocemuli fragmentis mixedviT mimdevrobis Ria poziciis Sevseba.

• ori mimdevrobis erTmaneTTan Sedareba.

• sityvierad mocemuli wesis mixedviT sagnebis mimdevrobiT ganlageba.

• yofiTi daniSnulebis sagnebSi an ilustraciebSi dasaxelebuli geometriuli figuris amocnoba.

• miTiTebuli geometriuli figuris aRwera.

• miTiTebuli figuris modelis SerCeva grovidan.

• dasaxelebuli brtyeli figuris gamosaxulebis Seqmna romelime xerxiT.

• brtyeli figurebis modelebis erTmaneTTan SeTavseba.

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