tynnoroz nTYxloYxnN MEOOQOAOrlAE, IEKOPIAZ KAI OERPIAI: THI: EIllETHIMHZ

IXEdlO YllOMNHMATOZ TOY IRMATEIOY ME THN EllRNYMlA

OEMA: <<Avae~aq MaBqpdsrwv mov KAds60 nE33 M~BoboAoyiaq, Iccopiaq K a i O~wpiaq rqq Enimjpqqn

ZXETLK~: 1) Tqv ~nimohf i TOU npoi6pou TOU Tpfiparoq M.I.O.E. m o YnEnO miq 19 Mapriou 2007. 2) Tqv urt. apiep. 118842/r2/17-09-2008 an6@aoq p~ Bipa (<Avaeioeiq paeqparwv

rupvaoiou, ~ E V L K O ~ AUKE~OU, EnA.A. K a i EnA.1.)). 3) T ~ V oplhla T ~ S ~rtoupyou nai6riaq, nla ~ l o u MdBrl~rlq ~ a i O ~ ~ ~ O K E U ~ ~ T U V arq ~ouhtj,

m o Tchaiaio rqq au<firqoqq rwv npoypappari~wv 6qAho~wv rqq viaq Kupipvqaqq (19-10-09).

4) To a)(ibio v6pou p~ ridto <(Ava$aBpiaq rou pbhou rou E K T C ~ L ~ E U ~ L K O ~ - Kaeiipwoq ~avbvov a(ioh6yqaqq K ~ L at io~pariaq mqv ~ ~ x a i 6 ~ u o q Kai Aoiniq 6iara(~iq)) nou K U T ~ T ~ ~ ~ K E OTQ Bouhfi KUV EMfivwv mi< 26-04-2010.

5) To vopoqk6io 383312010 p~ e ipa <<npomaoia rqq ~ e v i ~ f i q oi~ovopiaq- En~iyovra pkrpa yia rqv avcip~rhrtioq rrlq 6qpooiovopi~fiq ~pioqq>) (OEK 40 r. A'/15-03-2010).

6) Tov 06qy6 Inou6hv rou Tpfipt~oq M~Bo6oAoyiaq, laropiaq K a i O~wpiaq rqq Erciorjpqq rou E ~ V L K O ~ K a i Kan06impia~od l lav~nimqpiou A8qv5v (http://users.uoa.gr/"ahatzis/0digos greek 2009.pdf)

7) To ((Eviaio nhaioio llpoypapparoq 2nou66v (Ellllt) yia rqv lmopia>> ( http://www.pi- schools.gr/content/index.php?lesson id=8)

ME rqv ~ u ~ a i p i a rqq avhAq9qq p~i<ovoq npomae~iaq yia r q pi<i~f i avap6p@woq rou

Eniarrjpqq erciBupei, ~arapxaq, va ~ ~ @ p a a ~ i r q Podhqai rou yia r q oupp~roxfi rou mqv ~n i rux ia

rou ~yx~ipf iparoq K a i va ouv~io@ipsi Kai aur6q mqv EV h6yw npom68Eia pkaa ax6 i v a Tchaiaio

Oi E K ~ ~ L ~ E U T L K O ~ rou Kha60u nE33, adp@wva p& riq ~ ioqy f i o~ iq IOU ilai6aywyi~od Ivmirodrou Kai

riq q ~ r i ~ k q axo@dLo~iq KOU Ynoupy~iou tlai6~iaq, eivai o i app66ioi ~rcimr\pov~q yia rq

6i6ao~ahia rwv ~ t f i q paeqparwv m q Mioq EKnai6~uoq:

IYAAOTOZ I1TYXIOYXflN MEOOAOAOrlAt, IITOQIAZ KAI OEnPIAI THE EflIITHMHI:

ANAOEZEIT MAOHMATnN KAAAOY llE33 '@:.~,:f.~‘ A' Avu0rosc: 1 Apxiq CDrhooo+iaq eF'

I . I lmopia rwv Enimqphv Kai rqq Te~voAoyiaq I I I Imopia Koivwvi~wv Enimqphv I

1. To yeyov6q nwq K & ~ E xpbvo unapxouv noMa h ~ i ~ o u p y i ~ a K E V ~ m a cqoh~ia r a onoia 6qpioupyoljv Sucqipeieq mqv o p d i E K T C ~ C ~ E U T L K ~ ~ h ~ i ~ o u p y i a (PA. oplhia aaq m q Bouhfi miq 19-10-09, c<unapxouv navw arcd 5.000 K E V ~ ma q o A ~ i a ) ) ) .

2. flwq q ~mapr iaq TCOU ixoupe wq ~ K ~ C $ O L ~ O L TOU Tpfipmoq M.I.O.E. paq rtpoa+i PEL r a yvwmi~a, p ~ ~ o 6 o h o y i ~ a ~ Kai EV yivei ~ n i m q p o v i ~ a epyaheia n p o ~ ~ i p i v o u va 6 ~ u p d v o u p ~ TO ne6io rwv paeqpdrrwv nou pnopoljp~ va 616aa~oup~ m o da ia io rqq B/B&Owaq E K T ~ ~ ~ ~ E I J O ~ ~ .

3. To y~yovoq nwq aurfi q 6iedpuvoq rwv avaeiaeov 616aaKahiaq paeqpdrrwv m o da ia io rqq B/paOpia< emai6euaqq 6 ~ v n p o ~ d e i 6anhvq a€ papoq rou ~pa r r i ~od npoi~nohoyiapo~.

4. Tqv an64aaq yia rqv ~ d u # q dfipouq wpapiou an6 rouq E K K ~ L ~ E U ~ L K O ~ ~ 6Awv rwv ~ ~ 6 i ~ o r f i r w v , a ~ b p q Kai yia unepwpia~fi anaq6Aqafi fouq ~ K O U ~ p i v a a i anapairqro, pe m 6 ~ 0 TqV K ~ U # T ) TWV &K? '~~L~EUTLKWV ~ V ~ ~ K W V .

5. Trl $odhqaq rwv E K T ~ ~ L ~ E U ~ L K W V rou Kha60u flE33 va npoa4ipouv mqv &~rcaiG&uoq Kai va ~ i v a i a& 0iaq va ~ d d # o u v p& rp6rt0 v6pip0, a [ io~par i~6 Kai 6 i ~ a i o TO dfipeq wpapib rouq.

B' AvaB~anc:

ZHTOYME

npophfipma @Lhooo+iaq

Oipara lmopiaq

Tqv ~ponortoiqaq rwv u+imapivwv avaeiaewv pe rqv npoaefi~q rwv napa~drrw paeqpdcrwv rou r~vlK06 AUKE~OU (TCLq ~ v C Y ~ ~ O E L ~ KWV EKTI~L~EUTLKWV TOU Kha60u flE33:

Zqroirp& a& A' avaeeaq ro paeqpa rqq lmopiaq m q 6&ur&po@u0pia &mai6&uaq, ~aehq:

1. OL E K K ~ L ~ E U ~ L K O ~ TOU KAabou llE33 ixouv 6iepeuvfio~~ a& $aeoq ~ q v imopia rqq ~nimf ipqq Kai rou nohiriopod, 6nwq n p o ~ l j r n ~ i an0 TO a v d u r i ~ b np6ypappa artou6hv rouq.

2. 01 E K K ~ L ~ E U T L K O ~ TOU Kha60u FIE33 ~ X O U V napa~ohouef ia~~ Ta Etfiq U K O X ~ E ~ ~ L K ~ KaL K d

enLhoyi U K O X ~ E W ~ L K ~ paefipma TIOU a4opoljv TO yvwmi~6 ~ ~ L K E ~ ~ E V O rqq Imopiaq: KO13 loropia noAmapo3 I (Apxa~drqra), KO14 loropia noA~napoli I1 (M~aaiwvaq), KO15 lmopia noA~napo3 111 ( N E ~ ~ E P O L Xpdvo~), 1203 E ~ a a ~ w ~ r j mqv iorop~oypapia, [,doaopia rqc lmopiaq, Aiax~ipiaq l o r o p ~ ~ ~ j q nAqpopopiac, E i 6 ~ ~ f f O ipara Eupwnai~r j~ Io-ropiaq, E L ~ L K U Oipara M E ~ L W V L K I ~ C Imopiaq.

3. 0 Kha60q flE33 ~ X E L fi6q a& A' avae~aq r a auva4fi paefipma Imopia rwv E n i q p h v K a i q q Te~vohoyiaq Kai Pi<&< Eupwrcai~o6 IloAiriapori Kai r a Ofpara Imopiaq oe B' avaeeaq.

Z~Ai6a 2 art6 5

6i68~oq rou IuMbyou). 5. I r o Tpfipa MlOE A ~ i r o u p y ~ i an6 rqv i6puoq rou TO Epyaarrjpio H A E ~ P O V L K ~ C Aicq&ip~crg~

lmopr~cjv nqycjv, r o onoio &EL moxo r q 6qpioupyia ~ A E K T ~ O V L K W V apx~iwv p~ 6uvmhqra rcp6aflaaqq m o JT~WK~KU~IO ~q~ io rco iqp i vo uhi~6. Ta a p x ~ i a a4opo6v r q +Lhoao+i~fi Kai ~ n i m q p o v i ~ f i napaywyfi mov EM~VLKO XWPO Kai ~up iwq n~p iox iq rqq v ~ o r ~ p q q ~ M q v i ~ f i q imopiaq yia riq orcoi~q unapx~ i ~ M E L * ~ fi peyaq 6iamopa rwv ~XETLKWV r ~ ~ p q p i w v . 0 a~orcoq ~ q q i p~uvaq eivai r l 6iaawaq Kai auy~ivcpwaq TOU

a p x ~ i a ~ o 6 uAi~o6, q imop i~ f i rou arcoripqaq Kai q opyavwofi rou ma rp6rco nou va npow8~irai q n~pa i r i pw E ~ E U V ~ K L K ~ ~ a<ionoiqoq an6 rouq imopi~o6q (PA. http://www.phs.uoa.gr/dlab/)

6. 01 E K ~ ~ L ~ E U T L K O ~ TOU Khaljou nE33 ~ X O U V TqV U ~ ~ U L T O ~ ~ E V ~ E ~ L ~ ~ ~ o v ~ K ~ ~ KaL 6 1 6 a ~ ~ i ~ f i ~arapr ioq yia r q 616~trKdia rqq lmopiaq a€ 6A~q riq ra<&iq rupvaaiou Kai AUKE~OU, onwq rci)006iopi<~rai Kai arc6 r o Eviaio nhaiaio npoypapparoq orrou6cjv Icrropiaq.

I. MAOHMATA ENIKHI nAlAElAI

H 6t6ania 6Aq (Apxaiorqra, M~aaiwvaq, NEOKE~OL Xpovoi) TWV

pa8qpdtrwv lmopiaq raur i<~ra i p~ E K E ~ V ~ TWV pa9qpdcrwv, r a onoia kouv 6 i 6 a ~ ~ i o i E ~ ~ L ~ E U ~ L K O ~ TOU Kha60u nE33 (PA. pa8fipma naparcavw). H a6y~povq rcpooiyyiaq m q 6 i 6 a a ~ d i a rqq imopiaq ~cpouno8h~ i rqv

I.IZTOPIA rENlKHI IlAIAEIAI

~ p i r i ~ f i av&Auaq imopi~oiv rcqywv, pi906oq p~ rqv onoia ~ i v a i E < O L K E L W ~ ~ V O L 01 E ~ ~ L ~ E U T L K O ~ IOU Khaljou nE33 (pa8fipara

A' Au~eiou B' AUKE~OU r' AUKE~OU

I I TO Ynoupy~io, V E arco+aa~iq TOU, 6 i x ~ ~ a i fi6q r q 616~0Kahia rwv 1

Zqro6p~ rqv 616~trKahi~ a& A' AvaB~aq rwv paeqpdcrwv lmopiaq a€ 6A~q riq T ~ ( E L ~ TOU ~ E V L K O ~ ~ AUKE~OU, p~ PUGEL TO i6i0 OKETCCLK~ a6p4wva p~ TO

onoio paq ~ X E L a v m 8 ~ i (B' ava8~oq) q S t 6 a o ~ d i a swv O~parwv Icrropiaq ( pa8q pa ~nLhoyfiq).

I I pa8qpdcrwv lmopiaq ~ a i an6 Khh6ouq nou ~ E V ~ i v a i apiyWq io-topi~oi (PA. I ~ E O S , n ~ o 6 , n ~ o 7 KaL 1-1~131.

11. MAOHMATA KATEYOYNf H I I. IZTOPIA OEflPHTIKHI KATEYOYNIHL aOiuara N E O ~ ~ V L K ~ ~ C lcrrooiac%. I" A u ~ ~ i o u

I Bdra~i rwv ava8ia&wv rou Khaljou nE33,oi E ~ ~ L ~ E U T L K O ~ TOU Kha60u ~ X O U V TO 6iKaiwpa I I va 6i6a(ouv r o p a ~ q p a ~ ~ a o y f i q B' AUKE~OU ( ( ~ i p a r a ~mopiaqn, r o onoio E < ~ ~ < E L I

H 6Aq rou pa8fipmoq c<Oipma N ~ o ~ M q v i ~ f i q lmopiaqn ( r AUKE~OU) auu~[irn&i ~ E C L ~ L K U

p~ rqv IjAq T ~ O U E<ETU<ET~L m o pa8qpa ((Oipma lmopiaq)) (B' AUKE~OU).

nmbao, EVW r a pa8fipma aura ~ErraTouv r a i6ia Biuara, o i E K T C ~ L ~ E U T L K O ~ TOU Khu6ou nE33 ixouv r q Guvmorqra va 6iGa<ouv p6v0 TO i v a an6 aura.

Tq 6uvar6rqra 616ao~diaq rou pa8 fipmoq nO6para N ~ o ~ M q v i ~ f i q

ZYAA068Z nTYXIOYXflN MEOOAOAOrlAZ, IZTOPIAZ KAI OEflPIAI T H I EnlZT

E L S L K O ~ ~ ~ E ~ 6nwq n~05, nE06, nE07, xwpiq 6pwq va ixouv OE A ((Oipara lmopiaqn rqq B' AUKE~OU (6nwq o KhaSoq nE33).

anor&h&opari~6r~pq 616aa~ahia rqq lmopiaq Kar~deuvaqq, ~a0wq pkaa an6 r q SiSa~-ria irAq ~ n i x ~ t p ~ i r a i q pehirq rwv iaropi~wv Bepdcrwv m o rrhaiaio rwv KO~VWVLKWV,

O L K O V O ~ L K ~ V Kai noAiriapi~wv p~rapohhv.

MAOHMATA KOlNRNlKRN EnlITHMRN

Zq~or iw q 6uvar6~qra 6~6acr~ahiaq q q Koivwvtohoyiaq K a i w v m w v pa0qpa~wv KOIVWVLK(;)V eniurqphv m q A~u~epoP60pia Emi6euuq, e+bcrov:

To avri~eipevo IOU Tpjparoq MlOE eivai q pehirq rqq lmopiaq Kai rqq 4Aooo4iag r6oo TWV ~ U Q L K W V 600 KC21 TWV KOLVWVLK~V EnimqpWv. Enopivwq, 01 EKTC~L~EUTIKO~ TOU

KAaSou nE33 &ouv p ~ h ~ r j o ~ i OE f3aBoq rqv lmopia, r q @Aooo4ia Kai r q MeBoSohoyia rwv Koivwvi~cjv Enimqpwv, €<€rdL<ovraq rcapcMqha Kai E L ~ L K ~ Bipara Ai~aiou, O~apwv, Koivwviohoyiaq K.a. Oi E K ~ ~ L S E U T L K O ~ TOU KhdlSou nE33 ixouv napa~ohou~ joe i r a napa~drrw UKOX~EWTLK& paBfi pma:

O ~ w p i a AlKaiou K a l O E O ~ ~ V (KO12), 10~0pi t~ noAinapoli Kal @ & ~ p h v (K015), n0AlTlKfi

Odoaocpia (KOOS), Odoaorpia K O L V ~ V L K ~ V Err~arqphv (KOOt?), E~aaywyrj ariq K o ~ v w v ~ ~ i q ~ a l AvSpwrclar~dq Err~arrjp~q (K033), Ol~ovopia ~ a l Ai~alo((D112), laropia, T~poAoyia K ~ L Kolvwvia (121 0), Odoaocpia rou b i~a iou (01 03), ~ a e w q Kai r a K~TWBL at' enlhoyi u r c o ~ p e w ~ i ~ a pa0 jpma: Eraaywyrj uro d i ~ a r o rouq noAln~oliq O~apobq, KolvwvioAoyia ~ a i Koivwvl~lj AvSpwrroAoyia, O & w p i ~ ~ Al~aiou ~ a l Ai~aioauvqq, E L ~ L K U Oipara O~wpiaq A l~a iou ~ a i noAin~rjq Odoaorpiaq I & 11, Eupwlrai~rj h a q : O~apoi ~ a i noAin~ic, O~apoi at

Ol~ovopia, TO A i~a lo arq Aoyo r~p ia ro Oiarpo ~ a i TOV Kivqparoyp&rpo, E L ~ L K U Oipara Iaropiaq ~ a i O~wpiaq O~aphv .

B' TAIH rENlKOY AYKEIOY

re TAZH ~ENIKOY AYKEIOY I. MAOHMATA TENIKHI IlAIAEIAI

I. MAOHMATA TENIKHI IlAlAElAt

P a o ~ i rwv paeqparwv nou ~ X O U V napa~ohou~ jae i o i EKTIUL~ E UTLKO~ TOU KAaSou n E33 (PA. J~U~UK~~VW). Oi E K T C ~ L ~ E U T L K O ~ TOU KAa60u nE33 ixouv A' AvaBeaq rou paejparog cclaropia rwv Koivwvi~wv EnimqpOv>>, pipoq

Eicraywyi m o AiKaio & ~ o u q nohi~i~oriq O ~ u p o ~ j q

rwv onoiwv ~ i v a i ao+aAwq q KoivwvioAoyia.

Zqrodpe T ~ V A' avae~oq an6 K O L V O ~ p& TOV KAaSo I lElO, Baael rwv pa0qpdtrwv nou &OUV napa~ohouefioei o i e ~ n a i 6 ~ u n ~ o i rou KAaSou nE33 IBA. naoancivw).

ZYAAOTOZ nTYXlOYXflN MEQOAOAOrlAt, IETOPIAt KAI OEflPIAI: THZ EIIIITHMHI:

WYXOAOrlA

B' TAEH rENlKOY AYKEIOY II. MAOHMATA EnlAOrHI

WYXOAOrlA A' A u ~ ~ i o u

Zqro6p~ r q Guvarorqra 616aoKclhiaq rou pa8fipmoq Wuxohoyiaq, ~@6oov o i E K K ~ I ~ E U T L K O ~ TOU KAaSou nE33 ~ X O U V Jtapa~0h0~8fiaEl r a ~dLrw81 UITOXPEWTCK~L

paefipara: WYXOAOTIA (K022), EIIArC2rH ZTII NEYPOElllITHMEZ (K023) ~ a i TNRZIAKH EnlZTHMH (K024), r a ortoia npoa@ipouv r i q anapairqr~q yvwa~iq yia rqGi6aa~ahia rou EV Aoyw pa8fiparoq, Kai r a K ~ T ' ~rt lhoyjv auva@fi paefipara: TEXNHTH NOHMOZYNH (IOOl), WYXOAOrlA THI NOHIHI (1002) K a i IITOPIA THZ WYXOAOrIAZ (1003). Zro rchaiaio rou Tpfiparoq M lOE Aeiroupy~i, Jtpoa@ipovcaq aqpavci~6 EKTC~LGEUTLKO ~ a i ~ p e u v q r i ~ o ipyo, ro Epyamfipio r v w a i a ~ j q Eniarjpqq K a i EKTtal6~ur~~fiq T~pohoyiaq. TiAoq, m o rpfipa MlOE A ~ i r o u p y ~ i o TOMEAI THI rNC2IHI KAI THI: NOHIHI.

Ea ipo l jp~ nwq 8 ~ r i ~ f i arcoGoxfi TWV nporaa~hv paq yia rponorcoiqaq rwv ava8io~wv rwv

paeqparwv rou KAaGou nE33 8a oup$rn&i mqv a n o r ~ h ~ o p a ~ i ~ 6 r ~ p r ) a(ionoiqoq rou

u@imap~vou Kai p ~ M o v c i ~ o 6 ~ m a i G ~ u r i ~ o l j Suvapi~06 rou KhaGou ~ a i ~ n d i o v 8a G r j a ~ i i v a

~ ~ V U ~ C I EVUVCLCL OTQV ~ L v L C Y ~ ~ KUL T [POVO~L(XK~~ ~ E ~ ~ x E ~ w ~ , nOU J T P o K ~ ~ E ~ ( X ~ L K ~ E ~ Kal EVLOX~EI

I't&Aa~&iaKkq ~ ~ O E L S K a i OE K U ~ E K E ~ ~ T [ T W O ~ ) T C ~ E L ~6vcpa (TCqV ~01vfi Aoyi~fi Kai rqv owmfi

A~iroupyia rou E K T I ~ L ~ E U T L K O ~ O U ~ ~ ~ ~ C L T O ~ .

OL E K T C ~ L ~ E U T L K O ~ TOU KhaGou nE33 ~ J C O ~ ~ O ~ V va O U ~ $ ~ O U V a ~ ~ ~ E ~ & ~ p a ~ i ~ a , p& ~ ~ Y X ~ O V T )

~ n i m q p o v i ~ f i rouq ~a rap~ iaq , mqv uAonoiqaq TOU opuparbq oaq yia r q Gqpioupyia rou ccNiou

IxoA~iou)), m o orcoio q 6i6ao~ahia rwv pa8qpurwv 8a y i v ~ r a i ano r o d i o v ~ a r u q h o ~ a i

~a rap r iap~vo ~ m a i 6 ~ u r i ~ 6 rcpoawni~6 K a i GE 8a Eivai anor iA~apa r6)(qq, o u v c ~ p i a ~ 6 v

arcairfia~wv ~ a i QUYKU~LC;)~, 6nwq (JUV~$OILVE pixpi np6rivoq. TiAoq, 8 ~ w p o u p ~ nwq 01

npwr6yvwp~q oriypgq rcou Gi ipx~ra i o r6noq rniraoaouv TQV d k o v op8oAoyi~fi 6ia~Eip10rl rou

~ V ~ ~ W ~ L V O U ~ U V ~ ~ L K O ~ K a l ~ 0 6 ~ 0 { Q T O ~ ~ E p d E K L T ~ O E W ~ .