Matematika dhemsimdhnia e matematiksUdhzues pr klasat 6 - 9

AUtor:Mr. Sc. Melinda MulaMbshtetur nga Prof. Dr. Joachim Schroeder

Ministria e Arsimit, Shkencs dhe TeknologjisMinistarstvo Obrazovanja, Nauke i TehnologijeMinistry of Education, Science and Technology

Matematika dhe msimdhniae matematiks

Udhzues pr klasat 6 - 9

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MateMatika dhe MsiMdhnia e MateMatiksUdhzUes pr klasat 6 - 9

MateMatika dhe MsiMdhnia e MateMatiksUdhzUes pr klasat 6 - 9

PrMbajtjaHyrje .........................................................................................................................................................................................................................4Synimi dhe qllimet e programit Matematika dhe msimdhnia e matematiks pr klasat 6-9 ............................................6Profili i Kompetencave t Msimdhnsve .....................................................................................................................................................................7Matematika dhe msimdhnia e matematiks ...........................................................................................................................................................11Msimdhnia e suksesshme ...................................................................................................................................................................................................15Matematika n Kornizn e Kurrikulit ................................................................................................................................................................................17Prgatitja e ors msimore .....................................................................................................................................................................................................19Rezultatet e t nxnit .................................................................................................................................................................................................................21Prpilimi i rezultateve t t nxnit ..................................................................................................................................................................................21Struktura ERR e organizimit t ors msimore .........................................................................................................................................................24Aktivitetet dhe procedurat e msimdhnies dhe t nxnit ................................................................................................................................25T nxnit aktiv .................................................................................................................................................................................................................................26Pyetjet, detyrat, problemet matematikore .....................................................................................................................................................................30Vlersimi i t nxnit t nxnsve .......................................................................................................................................................................................32Testi Instrument vlersimi ..................................................................................................................................................................................................34Kshilla pr msimdhns pr t inkurajuar nxnsit pr t msuar lndn e matematiks ...................................................37Nj form e komunikimit efektiv .........................................................................................................................................................................................40

Klasa: VI ............................................................................................................................................................................................................... 41Njsia msimore: Prodhimi kartezian i dy bashksive ..........................................................................................................................................41Njsia msimore: Gjatsia e segmentit, largesa e dy pikave ...........................................................................................................................44Njsia msimore: Plotpjestueshmria me 3 dhe me 9 ..........................................................................................................................................47Njsia msimore: Trapezi ..........................................................................................................................................................................................................50Njsia msimore: Syprina e siprfaqes drejtkndshe ........................................................................................................................................53

Klasa: VII ............................................................................................................................................................................................................. 56Njsia msimore: Mbledhja e numrave me shenja t kundrta ......................................................................................................................56Njsia msimore: Shuma e kndeve t trekndshit ..............................................................................................................................................59Njsia msimore: Perimetri i siprfaqeve shumkndshe ................................................................................................................................61Njsia msimore: Zbatimi i teorems s Pitagors ushtrime ......................................................................................................................64Njsia msimore: Kuptimi i funksionit .............................................................................................................................................................................66

Klasa: VIII ............................................................................................................................................................................................................ 69Njsia msimore: Numrat dhjetor dhe numrat thyesor ....................................................................................................................................69Njsia msimore: Simetria boshtore..................................................................................................................................................................................72Njsia msimore: Llogaritja e probabiliteteve (gjass) ........................................................................................................................................75Njsia msimore: Prodhimet e veanta ...........................................................................................................................................................................78Njsia msimore: Zgjidhja e problemeve me ekuacione .....................................................................................................................................81Njsia msimore: Kndi qendror dhe periferik .........................................................................................................................................................84

Klasa: IX ............................................................................................................................................................................................................... 86Njsia msimore: Kongruenca e trekndshave .........................................................................................................................................................86Njsia msimore: Mbledhja dhe zbritja e shprehjeve racionale .....................................................................................................................90Njsia msimore: Zbatime t ngjashmris s trekndshave ........................................................................................................................93Njsia msimore: Inekuacionet e forms ......................................................................................................................................................................96Njsia msimore: Zgjidhja e sistemit t ekuacioneve lineare me dy ndryshore Metoda e eliminimit ............................99

Msimet model .............................................................................................................................................................................................101Tema: Piramida ............................................................................................................................................................................................................................. 102Tema: Kulla e Hanoit (8 disqe) .......................................................................................................................................................................................... 105Tema: Vargu (progresioni) gjeometrik ....................................................................................................................................................................... 107Tema: Pozita reciproke e dy rrathve .......................................................................................................................................................................... 110Tema: Sistemi i dy ekuacioneve me dy t panjohura, njri prej