Podręcznik do matematyki dla klasy 6, semestr 2

‫اﻟﺮﻳﺎﺿﻴﺎت‬ ‫ﻛﺘﺎب اﻟﻄﺎﻟﺐ‬ ‫اﻟﺼﻒ اﻟﺴﺎدس‬ ‫اﻟﻔﺼﻞ اﻟﺪراﺳﻲ اﻟﺜﺎﻧﻲ‬ ‫الطبعة األولى ‪ 1445‬هـ ‪ 2023 -‬م‬ G2-.=%'( 73VY%@D' Z[\-H ,.=V'(H )N3/;'( ]KS^ TKB3S' _3%*'( (à Z[\- !)+b'( J(c d?E(.%'( e3*^fH 36BKB3g hW iK&L&'( 51 _K%*&'( Tcj( M+N CKb$'( THI 51 _3%*'( (à 51 708 ,O kLB XK4- l !T3&NU )V;+@ GA Q?+2%'(H )?W.%'( "F(XH emnmm M'Hl( )2/;'( !"#%$ &'()* +, -./0$ )+L+@ 51 − pI3L'( qb+' J3?r3-.'( − s'3;'( _3%: 51 3a.-K;> Q> )\LB tà !K' 3&-u )v'w&+' )?@3@f( )+^.&'( GA J3?r3-.+' 9#-./13: e'@ &Fs/'#45 !"L)456 tuvuw xuwyz 1k: _:5;<45 :58F45 iH<#7 P"3Q45 8W<(` 1` +*:b#45 P"3Q45 n"3TV KO8@ +, 1*8456 _<o)45 l2kb3456 dNWb.345 Z"pUV 1` qr"'#45 8W<(34 &@".45 &W8Wb#4"7 ,12).3456 &278345 9:5;<4 &=<>?@ 8A'456 B/(456 C24D345 E<FG B2#H I I @"MMO P"3QM45 RST 9U"M%V 6J 8W<X3M45 6J B/M(M45 ;<LW Y6 JKLMM@ 6J N Z"Q[\5 ]@ ^Q[ _D7 _:"L` abc7 d"@<).#45 9U".3*5 E"(T +, e'WKf` 6J e3#H8` 6J g:bX#45 8Oh iLW 82XF45 j"/3kY5 &4"G +,6 ,9:5;<45 ]@ l/S@ +7"3O !hm7 YV ّ ّ ‫ﺳﻠطﻧــــــﺔ ﻋُﻣــــــﺎن‬ ‫)اﻟﻣﺣﺎﻓظﺎت واﻟوﻻﯾﺎت(‬ ‫‪ 60°‬ﺷرﻗﺎ‬ ‫‪ 56°‬ﺷرﻗﺎ‬ ‫‪ 58°‬ﺷرﻗﺎ‬ ‫‪ 52°‬ﺷرﻗﺎ‬ ‫‪ 54°‬ﺷرﻗﺎ‬ ‫ﻣﺿـﯾﻖ ھرﻣز‬ ‫اﻟﺟﻣﮭورﯾﺔ اﻹﺳﻼﻣـﯾﺔ اﻹﯾــراﻧﯾﺔ‬ ‫ﻣﺣﺎﻓظﺔ ﻣﺳﻧدم‬ ‫دﺑﺎ‬ ‫ﻣدﺣﺎء‬ ‫)ﺳﻠطﻧﺔ ﻋﻣﺎن(‬ ‫ﺷﻧﺎص‬ ‫ﻣﯾﻧﺎء ﺻﺣﺎر‬ ‫اﻟﺑرﯾﻣﻲ‬ ‫!‬ ‫ﺣﺎ‬ ‫ﻣ‬ ‫ﺔا‬ ‫ﻓظ‬ ‫ﻣﺣﺎﻓظﺔ‬ ‫ﺟﻧوب اﻟﺷرﻗﯾﺔ‬ ‫ﻣﺣﺎﻓظﺔ‬ ‫واﻟواﻓﻲ‬ ‫اﻟﻛﺎﻣل‬ ‫ﺷﻣﺎل اﻟﺷرﻗﯾﺔ‬ ‫!‬ ‫!‬ ‫ﻣﻲ‬ ‫ﺑرﯾ‬ ‫ﻟ‬ ‫ظﺔ‬ ‫ﺣ ﺎﻓ‬ ‫‪r‬‬ ‫ﺻور‬ ‫!‬ ‫!‬ ‫ﻣﺣﺿﺔ‬ ‫ﯾﻧﻘل‬ ‫!‬ ‫!‬ ‫ﺿﻧك‬ ‫دوﻟﺔ اﻹﻣﺎرات‬ ‫اﻟﻌرﺑﯾﺔ اﻟﻣﺗﺣدة‬ ‫‪ 24°‬ﺷﻣﺎﻻ‬ ‫‪ 24°‬ﺷﻣﺎﻻ‬ ‫ﺟزر اﻟدﯾﻣﺎﻧﯾﺎت اﻟﺳوﯾﻖ‬ ‫ﻣطﺎر ﻣﺳـﻘط اﻟدوﻟﻲ‬ ‫اﻟﻣﺻﻧﻌﺔ‬ ‫!‬ ‫ﻣﯾﻧﺎء اﻟﺳﻠطﺎن ﻗﺎﺑوس اﻟﺳﯾب ﺑرﻛﺎء‬ ‫!‬ ‫!‬ ‫وادي ﻣﺣﺎﻓظﺔ‬ ‫ﻣطرح‪( !.‬‬ ‫!‬ ‫ﻣﺳﻘط‬ ‫اﻟﻣﻌﺎولﺟﻧوب اﻟﺑﺎطﻧﺔ‬ ‫! ﺑوﺷر‬ ‫!‬ ‫!‬ ‫!‬ ‫!‬ ‫!‬ ‫ﻧﺧل ! اﻟرﺳﺗﺎق‬ ‫طاﻟﻌﺎﻣرات ﺑدﺑد‬ ‫!‬ ‫ﻗرﯾﺎت ! ﺳﻘ‬ ‫اﻟﻌواﺑﻲ‬ ‫ﺳﻣﺎﺋل‬ ‫ﺔﻣ‬ ‫! اﻟﺣﻣراء‬ ‫!‬ ‫ﻓظ‬ ‫!‬ ‫اﻟﺟﺑل اﻷﺧﺿر‬ ‫دﻣﺎء‬ ‫ﺣﺎ‬ ‫ﻧزوى ! ﺑﮭﻼء‬ ‫واﻟطﺎﺋﯾﯾن‬ ‫!‬ ‫!‬ ‫ﻣ‬ ‫إزﻛﻲ‬ ‫إﺑراء‬ ‫! ﻣﻧﺢ‬ ‫!‬ ‫اﻟﻣﺿﯾﺑﻲ‬ ‫وادي ﺑﻧﻲ ﺧﺎﻟد‬ ‫!‬ ‫!‬ ‫!‬ ‫!‬ ‫! اﻟﻘﺎﺑل‬ ‫ﺳﻧﺎو‬ ‫! أدم‬ ‫ﺑدﯾﺔ‬ ‫!‬ ‫ﻣ‬ ‫!‬ ‫!‬ ‫ﺷ‬ ‫ﻣﺎ ل‬ ‫اﻟﺧﺎﺑورة‬ ‫!‬ ‫!‬ ‫‪r‬‬ ‫ﺻﺣم‬ ‫!‬ ‫اﻟﺧــــﻠــﯾـــــﺞ اﻟــﻌــــــــرﺑﻲ‬ ‫ﻟوى‬ ‫ﺻﺣﺎر (‬ ‫ﻣطﺎر ﺻﺣﺎر‬ ‫!‬ ‫اﻟﺑ‬ ‫ﺎ ط ﻧﺔ‬ ‫ﺑﺣـــــر ﻋُـﻣـــــــﺎن‬ ‫اﻟﺳﻧﯾﻧﺔ‬ ‫! ﻋﺑري‬ ‫ﻣﺣﺎﻓظﺔ اﻟظﺎھرة‬ ‫! ! ﺟﻌﻼن ﺑﻧﻲ ﺑو ﺣﺳن‬ ‫ﺟﻌﻼن ﺑﻧﻲ ﺑو ﻋﻠﻲ‬ ‫‪ 22°‬ﺷﻣﺎﻻ‬ ‫ﻣﺣﺎﻓظﺔ اﻟداﺧﻠﯾﺔ‬ ‫!‬ ‫‪ 22°‬ﺷﻣﺎﻻ‬ ‫‪ 26°‬ﺷﻣﺎﻻ‬ ‫‪ 26°‬ﺷﻣﺎﻻ‬ ‫ﺧﺻب‬ ‫! ! ﺑﺧﺎء‬ ‫اﻟﻣﻣﻠﻛـــــــﺔ‬ ‫اﻟﻌرﺑﯾــــﺔ اﻟﺳﻌودﯾــــــﺔ‬ ‫ﻣﺻﯾرة‬ ‫ﻣﺣوت‬ ‫!‬ ‫!‬ ‫‪ 20°‬ﺷﻣﺎﻻ‬ ‫‪ 20°‬ﺷﻣﺎﻻ‬ ‫ﻣﺣﺎﻓظﺔ اﻟوﺳطﻰ‬ ‫! ھﯾﻣﺎء‬ ‫ﻣطﺎر اﻟدﻗم‬ ‫‪r‬‬ ‫ﻣﯾﻧﺎء اﻟدﻗم‬ ‫(! اﻟدﻗم‬ ‫! ﻣﻘﺷن‬ ‫! اﻟﺟﺎزر‬ ‫اﻟﻣزﯾوﻧﺔ‬ ‫أﻧﺘﺠـــﺖ ﺑﺎﻟﮭﯿﺌــــﺔ اﻟﻮطﻨﯿـــﺔ ﻟﻠﻤﺴﺎﺣـــــﺔ ‪ ،‬وزارة اﻟﺪﻓـــــﺎع‪ ،‬ﺳﻠﻄﻨــــﺔ ﻋُﻤــــﺎن ‪ 2022‬م ‪.‬‬ ‫ﺣﻘوق اﻟطﺑﻊ © ﻣﺣﻔوظﺔ ﻟﻠﮭﯾﺋﺔ اﻟوطﻧﯾﺔ ﻟﻠﻣﺳﺎﺣﺔ‪ ،‬وزارة اﻟدﻓﺎع‪ ،‬ﺳﻠطﻧﺔ ﻋُﻣﺎن ‪ 2022‬م ‪.‬‬ ‫!‬ ‫ﺛﻣرﯾت‬ ‫ﻻ ﯾﻌﺗد ﺑﮭذه اﻟﺧرﯾطﺔ ﻣن ﻧﺎﺣﯾﺔ اﻟﺣدود اﻟدوﻟﯾﺔ ‪.‬‬ ‫ﻛﻢ ‪200‬‬ ‫!‬ ‫(‬ ‫‪150‬‬ ‫ﺣﺑروت‬ ‫ﺳدح‬ ‫‪ 58°‬ﺷرﻗﺎ‬ ‫اﻟﺟﻣﮭـورﯾﺔ‬ ‫اﻟﯾﻣﻧﯾـــــﺔ‬ ‫ﻣطﺎر ﺻﻼﻟﺔ‬ ‫!‬ ‫‪100‬‬ ‫!‬ ‫ﺟزر اﻟﺣﻼﻧﯾﺎت‬ ‫‪r‬‬ ‫ﻋﺎﺻﻤﺔ‬ ‫وﻻﯾﺔ‬ ‫ﻣﯿﻨﺎء‬ ‫ﻣﻄﺎر‬ ‫‪.‬‬ ‫!‬ ‫اﻟﺤﺪود اﻻدارﯾﺔ‬ ‫اﻟﺤﺪود اﻟﺪوﻟﯿﺔ‬ ‫‪50‬‬ ‫‪0‬‬ ‫‪ 56°‬ﺷرﻗﺎ‬ ‫‪ 18°‬ﺷﻣﺎﻻ‬ ‫! ﺷﻠﯾم وﺟزر اﻟﺣﻼﻧﯾﺎت‬ ‫!‬ ‫!‬ ‫ﻣرﺑﺎط‬ ‫‪r‬‬ ‫‪ 18°‬ﺷﻣﺎﻻ‬ ‫ﺑﺣـــــر اﻟـﻌــــــرب‬ ‫ﻣﺣﺎﻓظﺔ ظﻔﺎر‬ ‫!‬ ‫طﺎﻗﺔ ﺻﻼﻟﺔ (‬ ‫ﻣﯾﻧﺎء ﺻﻼﻟﺔ‬ ‫‪ 54°‬ﺷرﻗﺎ‬ ‫!‬ ‫!‬ ‫رﺧﯾوتﺿﻠﻛوت‬ ‫‪ 52°‬ﺷرﻗﺎ‬ 1WbF` h/$H h' M+NH #&$1 3B#?@ 5?+@.&'( .?E M+N eDL'(H "Db'(H ,5?&'32'( _F h+'#&$'( ,,, #2WH !5?2&8O )v+%\&'( 3>l341H 3/B(K8 GA )?&?+2%'( )1K V&'( .-K;> M+N Q?+2%'(H )?W.%'( "F(XH .^ )?&'32'( J(#4%L&'( Z1 s:(K%%'H ,)?+/S%L&'( h>32+;>H ,)?'3$'( Z&%4&'( J3/+;%1 G/+%' ;)A3: 51 )?&?+2%'( J38.\&'( 5?*&> M'u ,Iw- 3&W ,)v+%\&'( )?>3?$'( eK+2'(H ,)A.2&'( I3b%g( GA !)V;+L+' )+13='( )?&V%'( Jl341 GA ):F3=&'( )28(.&W )?&?+2%'( )1K V&'( J3BK*1 51 3? @3@O 36BK*1 3aF3/%N3W )?@(F#'( a3V&'( ? ^ #gH ,-F#%'( R(.H ,)?@(F#'( J(F.S&'( 51 (76 #W ;)v+%\&'( 3?^(KB GA <13 .-K;>H ".&%L1 Z1 RA(K%%'H ,)V;+L'( GA Q?+2%+' )?+/S%L&'( )-.'( Z1 s@3V%%' ~'cH ;3a.?H Q-KS%'( s?'3@OH !hA(#aOH h%vL+A FK;%'( J(#4%L1 Z1 e7D%- (.?/: 6 316 3&%a( J3?r3-.'(H eK+2'( -F#> C341 "F(XK'( 'HO #gH ;)?'H#'( J(./\'( 51 "I3v%@l( M'u 4>( R+;V&'( (à 51H ,GA.2&'(H G8K'KV*%'(H G&+2'( -F#> GA )?&'32'( <@DL'( H.=1 GV/> CDE 51 C34&'( (à GA F3L%&'( FK;%'( Z1 3g6 3L>( #' 93%V%@l(H GbS%'(H P$/'( J(F31 )?&V> <8O 51 ;)?'H#'( .?-32&'( RAH 5?>I3&'( 5?>3a J3SW3L&'( GA )?LA3V%'( Q>(F#g .-K;>H ,)v+%\&'( )?&+2'( .a(K +' Q&A R?&2>H ,_D;'( !)?'H#'( J3@(F#'( GA <[AO 3%B R?S$>H ,)?A.2&'(H )?&+2'( Q?+2%'( (#aO 3S6 S$1 738 J3a34>(H Q?gH J(F31H F321 51 h-K$- 3&W _3%*'( (à Tu FKH );=BO 51 hV&[%- 3&W #+/+' )?A3SY'( )?Kb\'(H ,)?B3&2'( )?/+' 3&(K1H ,)V;+L'( GA 6 FI3b&'( 51 t.? 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Z5J: dC !Z5J: .1 5{C £@[0'( Q(3R6J( ._S- < £@[0'( "J DD% c5A "J s% c')V4 X £@[0'( 561 c')V "J v% c5A4 k £@[0'( 5j61w c')V 5j61w c5A4 £ £@[0'( "J DF% c')V "J v% c5A4 £@[0'( "J s% c')V "J s% c5A4 £@[0'( 5j61w c')V "J $% c5A4 ¦ £@[0'( "J DE% c')V "J DD% c5A4 m £@[0'( "J F% c')V "J $% c5A4 : £@[0'( "J s% c')V "J F% c5A4 4 £@[0'( 5j61w c')V "J F% c5A4 t/j_'() $>.&_'( :.&> "−"E 45.56( 7.89'( ::; <=>?'( 3 ;; k@f<< z ['( W <<I'@_G ;<<=?@US'( ZH)<<q'( .<<IW 0KG !; T !5<<f6S? k)<<)S'( `l.iR "F ; h,' u ` l.iR "; ; u h,' `l.iR "C ; u h,' ` l.iR "D ; u h,' " ` l.iR ; ; u h ,' ` .iR "A l ; u h,' uD uC uA u; uA uA uB uB x v(aST'( <H.wo &'( u2 ;A Zk@f< z <['( W @<<L? &<<6'( ;<<N5B'( <<I81 @<<1 4 ?b(5<<S8'( Zk@f< z <['( W @<<L? &<<6'( ;<<N5B'( <<I81 @<<1 L ?b(5<<}R'( uD $/w&W9y'( <H.w&'( x v(a_j'( <H.wo &'( uE u2 u; u; u2 E Zk@f< z <['( W .1 Q u% 4( d<<ISa'( 3<<-5- J # ?'\ ;<<p=_G §=06<<J "<<_N !b@<<iH,'( w b(5<<} Z^ k@f<< z J &<<M@{'( d<<ISa'( 3<<-5- :# Q $ @<<L')V ;^ =Ix6<<[1 ;^ <<N5# o<<J@/6' ;<<p=_G §=06<<J "<<_N !Q O @<<L5A4 ?Zk@f<< z ['( W w ;^ < xxz R1K Z^ k@f< z <J < '@{'( d<<ISa'( 3<<-5- I # Q t @<<L')V ;^ <<a?z 51K ;^ <<N5# o<<J@/6' w Q O @<<L')V +)<<='( ;<<-z kH4 Z^ k@f<< z J4 ;<<p=_6'( §=06<<J "<<_N !Q u @<<L5A4 ?;<<Iz '@S¨( w b(5<<S* Z^ k@f<< z J <<?(5'( d<<ISa'( 3<<-5- H # !;<<=?@US'( ;<<N5B'( o<<J@/6' w ;p=_G §=06J "_N ?Zk@fz ['( w &<<xW BG Z^ k@f< z <J <<1@R'( d<<ISa'( 3<<-5- MN # ;K <<x-5R'( !d<<1@_'@? c<<',/1 ;<<Iz H: ,<</S'( b(,<<: <<)G ;<<=?@US'( W T <N5# d_< W <' ;<<?)=xS'( +()<<'(4 "<<_N !;< ?;<<Iz '@S¨( ;<<p=_6'( §=06<<J uB Zk@f< z <['( W @<<L? &<<6'( ;<<N5B'( <<I81 @<<1 ¦ ?;If<<[p/0'( ‫ﻣﻌﺎﻟﺠﺔ اﻟﺒﻴﺎﻧﺎت‬ ‫ اﻟﺠﺪاول واﻟﺮﺳﻮﻣﺎت اﻟﺒﻴﺎﻧ ﱠﻴﺔ اﻟﺨﻄ ﱠﻴﺔ‬١-٢٠ N^; (8<HW.+ N^=.+ q :(\g.+ a a '& + L4r+' <\J l f4g_70 (8<HI s /tU $Q) (_.+ u<]X.+ oI=. =t%& V !R<?1#-? 3'45 :Rm012_.+ 3'45 V (v w4K<7$#. f4g_70Q A+4K& !<x#012) '& R+4r1.+ T<7r I<JKL=& V T=7 Z? [\]^ (_.+ `<$.+ ,H$% ()*+ (8<HW.+ N^=.+ bc10 U U 0Q ;1WXY a `<$.+ ,H$% d_X_7_. (8<HW.+ N^=.+ f4g_^+ !hi<jA k$l 3ml `<$.+ e V !,K<^ 3ml ;1WXn.+ Z? o]7) p& Z>$0 (_.+ yFF zFF A/KP#P,C Q)R&' ‫ُمفردات الدرس‬ DFF GFF SFF PFF BFF EFF 9$: (>0=?& ;@'A BCDF F E B A!M#NEC ON-&' P S G !"#$%&' ()*+ ,#$-.+ /012) 3'45 678+ A B C A4 9O.R.: (8<$-.+ 3<0=.+ E B G EF BF GF EFF 9¤: ';10 BCBD L BF M'<70 N% A D C ?';1H.0=?O+ ;@'4.C ?(8<$-.+ 3<0=.0=?O+ ;@'4.6 ?2@-&' 8 6S :". (\l (8<HI N^; /$-I Nj' ,H)*+ ,-I;O+ R+;<Hg.+ 4r& =_l+9 {: N ^=.+ < H]? ;< _g) p& = %~ ) V = Y& d_X_ ^+ != 2I (U 8<HW.+ !L@'&e NV Hj = W%&' !(8<$K 3<0; |.} ';1H.+ /012_. (\l (8<HI ~ ~ N^; ● !(>0=?& ;@'A |.} ';1H.+ /012_. (\l (8<HI ~ ~ N^; ● !(>0=?& ;@'A |.} (8<$-Q .+ 3<0=.+ /012_. (\l (8<HI ~ ~ N^; ● !9R<?1#-$.+ ,>W (v =?O+ + ZK 2W.+ |.} <_2_^: ;<H_l+ Z? ZH_#$K ● ,K= 7I = 7.+ 4 XK ,q W%=? < x_-\j ( _.+ ,v< 7$.+ < 8A& (a \g.+ (a 8<HW.+ N ^=.+ b c10 A6 U !,K<7.+ (v +=_?1#H% SF ,K=7I =7.<I ,L 8;<]? ,,K<7.+ (v +=_?1#H% PF L L ESF !WPK%, +)T/. X'2%K.)U !T-$MR&' !V)LR&' ,K<^N% SF A/K,-P#J&)UC !T-$MR&' !V)LR&' EBF EFF yF DF ,K<^N% PF SF BF F E A!T).C ON-&' B P U (\g.+ ,]0=\._^ (_.+ ,v<7$.+ <? 9 B C ?,K<^N% PF ,K=7I =H7) [8<% p} n8' ZH_K<^ 3ml w;<H7.+ <x_-\j 4j p1>_^ (_.+ ,v<7$.+ <? 9DC L@4I ,K<^N% SF ,K=7I =H7) [8<% p} n8' ,K<^ 4-I w;<H7.+ <x_-\j (_.+ ,v<7$.+ ;+4]? <? 9 > C ?,K<^N% PF Z? V ,K= 7I =H 7) [8<% p} R<K< ^ S 4-I w;<H 7.+ <x_-\j 4j (_.+ R+= _?1#H>.+ A4K p1>H ^ N % 9 E C ?,K<^/H? PF ,K= 7I =H 7) [8<% p} R<K< ^ EF 4-I w;<H 7.+ <x_-\j 4j (_.+ R+=_?1#H>.+ A4K p1>H ^ N% 9 FG C ?,K<^N% SF !(8<HW.+ N^=.+ Z? w`+=].+ '& R<I<72.+ f+4g_^+ ?3<t$.+ + /2. ,]0= /v& <? 9 0 C U 6Y ‫ُمفردات الدرس‬ ‫ﱠ‬ ‫اﻟﻤﺨﻄﻄﺎت اﻟﺪاﺋﺮ ﱠﻳﺔ‬ ٢-٢٠ N^; oQ \e g$.+ a q :M=i+4.+ V 7]? w=i+A V ,$ /> |#K (8<HI e Q s a /tU $0Q Hr Z? +`L 5 NV 7j /% !(.<$5+ ~ I<JKL=& !Nx_#\K `< X& ( v " #-v +'A+;& < ? | #K A1 $2? `< j4Y& R1e Y !,I<5+ b H)<$I <LXH-_ 7? ,{< _? /% 8.+ [ 8<% ● = t%& | #K ,r<W 7.+ [ #nr ● `< j4YO+ Z ? %EF Z ? / j& ● !P$a&' !$<(B b)KWR&' !/ Hg.+ T1 %; Z ? ,L HW- !R+1 YO+ Z ? % SF Z ? | #K ].+ b .<n. +1 )1Y !, \e X$.+ Ô+ /Q I<]$.+ M= 4 r} ( v 4V r+' V 1W ^& 3m l [ -HI ( _.+ <$ A4 U a i+4.+ oQ \e g$.+ + b c10 !Rm 2$.+ ?"-HI N) <$Ô+ Z? 18 =t%& <? 9 B C U A4K ; U4]v ,1WÔ+ . (v ,L >$^ GF [-HI +} 9DC !<x-HI N) e (_.+ <$Ô+ Z? V 18 /% <x-HI N) (_.+ <$Ô+ +18& 3<n.+ !;1?<x.+ ,>$^ ● !4-X>.+ ,>$^ ● !3<n.+ ,>$^ ● 4-X>.+ ;1?<x.+ !Z" /['2&' +)$$" %R&' 6−67 9.).:' ;)<=&' :>6 ?2@-&' 8 6` <$ ^. M= s i+A oq \e g? 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( !&0)iR&' !aU)L&' z F B S !&0)iR&' !.E)L&' EE z F G !&0)iR&' !L,)%&' 9U)Li&' p.-&' q y F S B !&0)iR&' !aU'/&' D y F D p#.-&' !&0)iR&' !k&)k&' D P E z !&0)iR&' !#()k&' G F F z !&0)iR&' j&0:' D P F S E2T +h0)iR&' /#*T !%#l !Rm)V ?nT :"#$%&' ()*+ 3'4.+ 678+ 9 B C 1'-=R&' o2R&' /#*T !%#l !Rm)V ?nT ?].+ (v <r<8 =t%O+ p<% 0&=I Z¢ ? 9T: L !.'45 (v wA151$.+ R<?1#-$.+ f+4g_^6 ?2@-&' 8 6f | #K < HJ ?10 ;< xX.+ n_X? 3m l , .mY ( v w;+= 2.+ R< 5;A , 0' , 04l Z ? /Qs % [#e ^ A6 !HI< ^& ,_ ^ ;+4 ? O*L&' !aR3&' e#R%&' Q)aUu:' °PE °By °Bz °BD °BS °BF °BB °BG °E£ °By °PF °EG °By °By °BF °BS °ED °BG °B£ Q)stk&' r#=sh' 2@:' °E£ °BF °BF °BG 4 v-*.B °Bz °Bz °Bz ° By g v-*.B °E£ °Ey Y v-*.B °By °E£ °BP °BP °BF °Bz °PB °BG °E£ °PB °BG 6 v-*.B °EG S v-*.B °PB ` v-*.B U . 4 $.+' , Hi<nr+ k H0<]$#. , mt.+ +1 8O+ /H 7_. L@'4 5 N $Y Z ? V 1W ^& /> U 9BC !4 $.+' , Hi<nr+ k H0<]$.+ N H]I .'45 / $%& !, #\-.+ ?w;+=2.+ R<5;4. 4? |#K& / ^ ~ V 1W^& M& a 9DC 3m l < L vA = t%O+ 1W Ô+ < ? b c1_. U .'45 ( v wA1 51$.+ R< ?1#-$.+ f4g_ ^+ 9 > C !, #\-.+ e , HW.+ | #K , ¤v<2$#. '= ? ( v p<%;< ) , 0' , 04l [ 8<% 9 E C 4 ? < $v ,`< m /% ?`< mt.+ f< 0& w;+= 2.+ R< 5;A !`<mt.+ f<0& (v 9(I<72.+ o^1.+' oH^1.+' 3+1X$.+: w;+=2.+ ,5;4. (i<nr+ <H]$.+ 7r+ ~ ,Hi<nr+ k H0<]$.+ N Hj hI<\Q) R< 8<HW.+ Z ? R< K1$? / $-. , H)*+ R< j<\W.+ ¥ -I f4g_ ^+ Ag :( )0 < $? /Q¦ % ( v 4w 4w 6w 4f 4c 4` 4Y 4S 4f 4c 4` 4Y 4S ED oH^1.+ ,ED 3+1X$.+ ,ED (I<72.+ o^1.+ 9 B C ~ EzCG oH^1.+ ,Ey 3+1X$.+ ,Ez (I<72.+ o^1.+ 9DC ~ EG oH^1.+ ,EG 3+1X$.+ ,ED (I<72.+ o^1.+ 9 > C ~ ‫‪ 2-21-‬استخدام اإلحصاء‬ ‫د‬ ‫لنستكشف‬ ‫تخطــط إدارة المدرســة لنقــل الطلبــة مــن المدرســة وإليهــا‪ .‬ولقــد توصلــت إلــى أن الطلبــة البالــغ‬ ‫أعمارهــم ‪ 9‬سـ ٍ‬ ‫ـنوات و‪ 13‬ســن ًة يصلــون إلــى المدرســة حســب البيانــات الموضحــة فــي المخطــط أدنــاه‪.‬‬ ‫خارطة الطلبة في عمر ‪ 9‬سنوات‬ ‫المفتاح‬ ‫خارطة الطلبة في عمر ‪ 13‬سنة‬ ‫المشي‬ ‫المفتاح‬ ‫المشي‬ ‫الحافلة‬ ‫الحافلة‬ ‫السيارة‬ ‫السيارة‬ ‫الدراجة‬ ‫الدراجة‬ ‫وسيلة أخرى‬ ‫وسيلة أخرى‬ ‫‪ )1‬توضــح الرســوم البيانيــة اآلتيــة كميــة األمطــار التــي ستســقط فــي‬ ‫أربــع واليــات خــال الفتــرة مــن ينايــر إلــى مايــو فــي عــام مــن‬ ‫األعــوام‪.‬‬ ‫ِصف االختاف في وسيلة‬ ‫الذهاب إلى المدرسة بين‬ ‫ٍ‬ ‫سنوات‬ ‫الطلبة في عمر ‪9‬‬ ‫والطلبة في عمر ‪ 13‬سن ًة‪ .‬ما‬ ‫التفسيرات لهذه االختافات؟‬ ‫ُمفردات الدرس‬ ‫اإلحصاء‪ :‬جمع البيانات‬ ‫وتنظيمها وعرضها وتفسيرها‬ ‫وتحليلها‪.‬‬ ‫الوالية (‪)1‬‬ ‫الوالية (‪)2‬‬ ‫‪120‬‬ ‫‪120‬‬ ‫ِ‬ ‫بالمليمتر‬ ‫كمية األمطار‬ ‫‪110‬‬ ‫‪100‬‬ ‫‪90‬‬ ‫مايو‬ ‫إبريل‬ ‫مارس‬ ‫فبراير‬ ‫‪100‬‬ ‫‪90‬‬ ‫مايو‬ ‫إبريل‬ ‫مارس‬ ‫فبراير‬ ‫الوالية (‪)3‬‬ ‫الوالية (‪)4‬‬ ‫‪110‬‬ ‫‪110‬‬ ‫‪120‬‬ ‫‪90‬‬ ‫‪g7‬‬ ‫‪120‬‬ ‫ِ‬ ‫بالمليمتر‬ ‫كمية األمطار‬ ‫‪100‬‬ ‫يناير‬ ‫يناير‬ ‫‪80‬‬ ‫‪80‬‬ ‫'‪Q)d@]' X'2%K.' 6−64 9.).:‬‬ ‫'&‪;)<=&' :>6 ?2@-‬‬ ‫‪8‬‬ ‫ِ‬ ‫بالمليمتر‬ ‫كمية األمطار‬ ‫مايو‬ ‫إبريل‬ ‫مارس‬ ‫فبراير‬ ‫يناير‬ ‫‪80‬‬ ‫ِ‬ ‫بالمليمتر‬ ‫كمية األمطار‬ ‫‪110‬‬ ‫‪100‬‬ ‫‪90‬‬ ‫مايو‬ ‫إبريل‬ ‫مارس‬ ‫فبراير‬ ‫يناير‬ ‫‪80‬‬ ‫ـابي) األفضــل لـ ِّ‬ ‫ـكل واليــة لإلعــان عــن أقــل‬ ‫‪ )2‬مــا المعــدّ ل (المنــوال أو الوســيط أو الوســط الحسـ ّ‬ ‫معــدَّ ل لســقوط األمطــار فــي الموســم؟‬ ‫ٍ‬ ‫مجموعة من الطلبة‪ ،‬اختر شي ًئا تعتقد أنَّه يجب أن‬ ‫‪ )3‬بالتعاون مع‬ ‫يتغ َّير في مدرستك أو منطقتك‪.‬‬ ‫يمكن أن يكون التغيير فيما يأتي‪:‬‬ ‫● أماكن اللعب‪.‬‬ ‫● جمال البيئة المحيطة‪.‬‬ ‫● االستراحات‪.‬‬ ‫● المنشآت الرياض َّية‪.‬‬ ‫● شيء آخر في مدرستك أو منطقتك يمكن تغييره لألفضل‪.‬‬ ‫ٍ‬ ‫مجموعة من زمائك لتُب ِّين الحالة‬ ‫اجمع البيانات مع‬ ‫الراهنة‪ ،‬مثال‪:‬‬ ‫● استبيان عن آراء الطلبة اآلخرين أو تجاربهم‪.‬‬ ‫ٍ‬ ‫ٍ‬ ‫● استبيان عن وجود ٍ‬ ‫شيء ما‪ ،‬مثل عدد المكتبات‬ ‫‪/‬كمية من‬ ‫عدد‬ ‫في منطقتك‪.‬‬ ‫مائما لمشروعك‪،‬‬ ‫ن ِّظم البيانات في جدول‪ .‬إذا كان‬ ‫ً‬ ‫أوجد المنوال والوسيط والوسط الحسابي والمدى‪.‬‬ ‫رسما بيان ًّيا أو لوح ًة لتُم ِّثل البيانات بفعال َّية‪.‬‬ ‫اختر ً‬ ‫ٍ‬ ‫عبارات مقنعة عن البيانات لدعم ما تريد تغييره‪.‬‬ ‫اكتب‬ ‫اعرض المشروع‪.‬‬ ‫‪g4‬‬ ‫ ﻟﻐﺔ اﻻﺣﺘﻤﺎل‬١-٢٢ D D D D B D E E B I<JKL=& ?(^+47.+ ;+'4.+ e |#K P® Nj=.+ ;1x¯ ,Y=v <? U B ?(^<$g.+ ;+'4.+ e |#K D® Nj=.+ ;1x¯ ,Y=v <? U E ?(^+47.+ ;+'4.+ e |#K B® Nj=.+ ;1x¯ ,Y=v <? U ‫ُمفردات الدرس‬ V !,XV He -? ,H_8 °'4r ,H8<>?} :,Y=.+ V !<? `( °'4r ,Y=v 4? <Hj :3<$_r@+ !+=Y L M'<70 "K1j' 3<$_r+ ,°'42#. ,Y=v ". kH. °4r :/H2_7$.+ q E M'<70 "K1j' 3<$_r+ ,4H%_.<I °42H^ °4r :4e%±$.+ Q q E' EB ZHI "K1j' 3<$_r+ ,°420 p& /$_2$.+ Z? °4r :b5e = $.+ Q E ' F ZHI "K1j' 3<$_r+ ,°420 @& e /$_2$.+ Z? °4r q :b5e = $.+ Q =H² B E M'<70 "K1j' 3<$_r+ ,"'4r f4K ,Y=v ? "'4r ,Y=v '<7_) °4r q :,0'<7_$.+ =.+ B ,3<t$.+ /HW^ |#K ,,#_g$.+ di<_X.+ °'4r ,Y=v '<7_) <?4XK :,0'<7_$.+ R@<$_r@+ V =r (]#) <?4XK =x¤H^ M.+ A4-.+ !A=8 4%±? b5=? '<7_? b5=? =H² 1)Wm:' )| 'z /$&' E'-@ /m)%, IT)K_ !=. 460 44 /RaU e ·} °<2IO+ ¸) <?4XK )=0 ¡=\.+ ´K R1¶+ '& ,I<Yª. ¬=-_.+ a =\l p& µ ,hI<7.+ µ <xH.}' ,^;4¶+ Z? NxW2\n0 N=?& ¹' p<% Z0.+ 3<O+ &4W0 !NA=$I ,^;4$#. T<.+ /H2_7? DZ B rJRZ JZ-| X67g` X)T u:' V EFF "c=K >01% Z? T=]..' ,p*+ <XI f4\n0 p& ,#Hc ,Q Y=.+ f<K µ <XI f4\n0 p& ,q He ]H]r Z>.' ,H-c® ,Y=v !fBFPD 1)RK@h' !~& 4−66 9.).:' ;)<=&' :>6 ?2@-&' 8 g6 %477 !*L=U ?2|, !/V E)dKNh' E-|/&' 02i& !=L&' xBu 9V eZu)U Pk&' 9$~Z B /#*| 1)RK@' !ZEt#R&' ;<xH.} N.<-.+ "W_X0 @ hvO+ (v {1#) wq =HW% =<g? 451) `+=5 "#% N.<-.+ (v f<) A1%; °420 p& w=HW% ,Y=v <X' !. u1]^ +=Hl& L k0;<I R4x ,=x.+ N¤-? w;+=2.+ R<5;A 3+4_K+ 4-I (v 1#t.+ u1]^ |.} p*+ R<-ja 1_.+ =H)' !1WÔ+ + 1#t.+ ¥-I e N²; ,,0AmH$.+ ,X7.+ &; !4eV %±? =H² 3+0 @ + p& Q)=*& 2Z23&' 9[)=&' 2T-R&)U X'nK&h' ?W_)G /*T 'n(-PW(])U !U)]' "=3K_ I#| rJ& ^\ " / , /# !.u2R&' { K L, /# y#i w404.+ ;+4$.+ 4r} 3<$% (X?.+ ;<+ p} `+=Wg.+ 4r& 3<j e V kH. "eX>. ,,0<#. q4- W_7?Q =?&® ZH?<-. 4_$0 M.+' ,r=_]$.+ q /n0 <? wL A<K ¡=_7H^ 1X.+ + Z? |XW?® :3<j <$% !LmH2_7?Q V !R+1X^ °m |.} u0 +'/, ?2aU Q'i&' r, )})L_' /k|B !&-RiR&' I_'-&' z Q'/*%&' 1-MZ NH+=.+ ( ,He ]H]2.+ ,#>$.+ W_)G /*T 'n(-PW(]' yMK=_ B uE)=&' rRV ,& h0= ZK +81#8.+ _%+ V o g.+ | #K ,L ?mK c !4V %e ±?® | .} /H2_ 7?® Z ? `L +4 _I+ 3< $_rm. < H]? o l N ^;+ A6 Q : 2n.+ R@< ]$. < ]L v' ,, H)*+ °+4 rO+ °'4 r 3< $_r+ b c1) U !A e42$.+ [j1.+ (v ,^;4$.+ `<XI Z? `<x_8@+ ,Y=v ● =H² Z? !!! p& R&=j !fBFPD f<K ¬;O01>.+ f+4\Y+ ,Y=v ● =t%& °420 p& b5=$.+ !MA<n_j@+ A1%=.+ ,Y=v ● !!! Z? !k0;.+ R<K<]v /$%& Ag R<?1#-$.+ f+4g_^. !2n.+ R@<]? Z? ~ 3<]0Q =t%& °420 p& b5=?!!! p} !!! Z? gg V ie $_H. ;`< j;© ©= V l , Wr | #K 31 n2.+ | #K q4 $2 !w e ?Q = 20 AS V l , Wr l0' " HXHK h #0 p& 0 N ,Lw4 r+' w=~ YQ ;< _g0 p& 4 $2$. Z >$0 w=~ n.+ Q Z ? ©= !< ;<_l+ ( _.+ g ?/q d&' 6 ?/q d&' 4 ?/q d&' 8 8 8 ` ?/q d&' 8 Y ?/q d&' 8 S ?/q d&' 8 V ?`<j;© ©=l ,Wr |#K 31n2#. ,Y=v /v& "2X$) w=~ YQ M& a 9BC V ,Wr |#K 31n2#. ,L 0'<7_? ,L Y=v "2X$) w=~ YQ M& ?`<j;© '& `+=$r ©=l a 9DC V ,Wr |#K <xX? /n20 p& L@<$_r+ /j& w=~ YQ M& ?`<j;© ©=l a 9>C V ,Wr |#K <xX? /n20 Z. "e8& 4e%±$.+ Z? w=~ YQ M& ?`+=l ©=l a 9E C V V ,Wr |#K 31n2#. ,Y=v ?`+=l ©=l =W%& "2X$) w=~ YQ M& a 9 FGC 1)RK@h' !~& 4−66 9.).:' ;)<=&' :>6 ?2@-&' 8 gS ?/W&' !V)JK, !*aP&' G yG V !@ '& =.+ ,v<>_? ,L W-. [8<% +} <? ,v=-? 3'<r !/H?© ? Q - #Q) ,W-. V ->? '& ¦4K +=j& ,m 3'O+ Km.+ l0 !=Y& ¦4K =j '& <WL -e >?Q ' ,`+=$r R<W e Q e V ->? '& ¦4K +=j& ,7$l (8<t.+ Km.+ l0 '& ~4-.+ +=j& Z? ZHX+' ,`+=$r R<W e Q !`+=$2.+ R<W-e >$.+ Q V V V l) p& X>$0 H2I T<_% /^& '& ,¨=¯ '& ,,WH]r (v R<W-e >$.+ Q '& ~4-.+ +=j& c !<HJ i+1K <$xX? < WL -e >?Q ¦4K = j 2 70 p& b 5= e $.+ Q Z ? " 8e & 4 ]_-) M .+ Km.+ Z ? » j<8 A4 : I < g.+ ± Wa X_.+ , I<_>. , H)*+ , #$.+ / $%& !" _WH]r Z ? = $r& ! V -e >?Q 27. =W%& 3<$_r+ q Km.+ Z? =$r& "04. Km.+ p& 4]_K& e pO !,0+4W.+® Z? ZHWKm.+ m% &4W0 A6 ,L v<7? pm]XH7v ,=$r& -e >$.+ Q p<% +} !<$x_WH]r Z? <HJ i+1K <WL -e >?Q ZHWKm.+ m% l0 !,WH]2.+ |.} -e >$.+ Q <5;} N) e !Lw4r+' !,0<xX.+® |.} <$4r& /n0 |_r ,WH]2.+ Z? R<W-e >$.+ Q 2^ (v p<WKm.+ =$_70 !L@'&e ,0<xX.+® |.} /n0 M.+ Km.+ 1 bI+=.+ V V -e >?Q 2^ 3<$_r+ (v 0&; =HH) |.} ,W-#.+ -. MAU ±0 / Ag U Z? =$r& ?,WH]r /% !W7.+ <2L c1? U {=+ V k8 |#K +1#nr +} <? _%+ !,W#\.+ Z? =l& ,V He i<X R<K1$? ? _W-. di<_8 ;< AS !di<_X.+ gY ‫اﻟﻌﺪد‬ (٢) ‫ ﻧﻈﺎم ا&ﻋﺪاد‬١-٢٣ E , W@EX > A, +# ) " A;BCD<= W-`G@eE'% G6$% C@H@g"'% O2PQR% b 3 !"#^ zD# b {E, 12 +.G N%!Q/ ZQ'% 1%23$% +, + <9 N 9 b c# 5 Z[ G6$% C@H@g"'% c# > O2PQs/ z^ 4Fa Wu!, :!"#$% &'( !)*$% +, -./0% 1%23$% 45/6 !" 7897 :897 987: 78: :87 ; # $ <9= <9= <=9 99= =< <9= =< 9<= <=9 <=9 ;%$ :1%23$% +, -./0% -.> ?@AB'% C@3DEFE'% +.G -HIJ'% 6@KLM < N > O2PQR% !& S8T S8T7 !%$ :8<7 :87< ; # $ S8U S8:V ! ' $ 989= 987< ; ( $ W%!Q, X VTU8V< Y'@J'% Z[ &A", \D]^ \D] _`"a !) b d!H^ &'( 4a!eQ'% 2A3 f/@A'% \Dg'% @, b ?c,@# 123 S8T7 12J'% %hi !KLNS9 Z[ 12J'% jG!kN ،-"R@l'% -'0% &`3 %1X 23 6Dm j"Q# !* :-"R@l'% -'0% &`3 ?-"R@l'% -'0% &`3 6Dm nQ"Q# oh'% 12J'% @, b b b +, p%qr^ b b W-?@, -sEtN u!v3 +, p%qr^ -JG6^N 1@wx -yIy +, zD{Qa > %1X 23 4Q#% !+ ?u!vJ'% +, pqF'% -'qA, Z[ 1DrDE'% YH!'% @, ,|=8<7 12J'% Z[ !, b d!H~# SU9 999 &'( n"a!e/ +{Ea -./0% -JG6$% 1%23$% +, o^ !?}'^ SUS 9UU SVU =UU SVU 9UU SV= V9U !&$ './01. 2345 "−&) 89391. :3;<=. :#) >/?@=. 7 ), :!"#$% &'( !)*$% +, -./0% 1%23$% 45/6 !F TS7 |9V T7S 9|V |S7 9VT |S7 VT9 ?1De E'% 12J'% @, !E 9897 + ? + TV = TV8S7 WD,!'@G -.m@EyN @ X '^ +.m@EyN -.m@Ey 12J'% 4Q#% !"G * , - " ?-./0% -.'@QQE'% Z[ 1De E'% 12J'% @, !"" W W W ,|U: 9U9 ,|UV 9U9 , ,:99 9U9 W-`G@eE'% C@H@g"'% 2.JR 2' !"& b !"#^ zD# ; # $ b WC@H@g"'% hi O%2PQR@G +{E, 123 5 b !)*^ zD# ;%$ b WC@H@g"'% hi O%2PQR@G +{E, 123 5 W1%23$% C@H@gG +, +.QAy% +.G -a!vJ'% -,IJ'% kN 4Fa b =99 Er c*@w @, !") ?Xu!v3 =9 N }'^ , ?6@Q,$@G %!Q,D`.# T989= _`"a Y# !"* X W1%23^ -JG6^ Z/~a @E.[ !"+ ST78|< ST78|= ST78|U ST78|7 b b ?u2w%N -a!v3 -'qA, &'( 4a!eQ'% 2A3 ST78| _`"a 1%23$% hi o^ b Wu!v3 d!H^ &'( U =V7 d!H 5 !", ?1%23$% t &`3 YKs'% n.'( !.va oh'% o!vJ'% !s{'% @, !" G GH" GH& GH) 989S )- ?98S &'( d!H$% -./0% -a!vJ'% 6Ds{'% o^ !"F 989= 98SS 98T 98U (٢) ‫ ﺗﺎرﻳﺦ ا&ﻋﺪاد‬٢-٢٣ A;BCD<= WWWW , 7 , T , S :1%23$% O@m jR61 2e' W!tx 1%23^ O@m z@,N!'% ~vm^ W-a123 %D,6 Zm@,N!'% 1%23$% O@m O2PQR% 2e[ , WWW , 7 , T , S :1%23$% O@m cB,N X 853NOP=. Q'/M=. RNP=. '/M=. I S II III IIII V VI VII VIII VIIII X C T 7 < = | : V U S9 S99 !&$ './01. IJK3L &−&) 89391. :3;<=. :#) >/?@=. 7 )F ?G@s'% \N2F'% Z[ -.m@,N!'% -a12J'% D,!'% Z[ wI/ %@, :-./0% -`R$% +3 -G@r' -.m@,N!'% -a12J'% D,!'% O2PQR% ?C%DAs'@G !E3 Y# !" ?6DKv'@G !E3 Y# !& W@w@"* |:9= :-.m@,N6 -a123 D,6 &'( Z/0% jHD'% \Dw !) X = IIII + X × VI !* = C × (III – VI) !+ = X – VII ÷ C !, )E (١) ‫ اﻟﺠﻤﻊ واﻟﻄﺮح‬١-٢٤ "+ O@ H6$% C@ H@gG O2PQ R% a Z Q'> % W@ K{a!l/ + {E ? Z[ : ,| ,= ,< ,7 ,T ,S 1%23$% 4Q#% !" 5 Z[ 1%23$% DEF, zD{a .lG !?%N2'% ST t c# > O2PQR% We[ uX 2w%N uX !, 123 c# ? ? ? ? ? }v{QsA' .lG V &'( S +, 1%23$% O2PQR% 5 Z[ 1%23$% hi DEF, zD{a c# S=oN@sa G> !E'% +, -[ @w %Dw ? "& ? ? E = ,< ,7 ,T ,S 1%23$% O2PQR% !& DEF, zD{a .lG ;cG@eE'% -EFA'% Em \@E#M T< oN@sa t c# Z[ 1%23$% "G ? ? ? , F !"$ SPT=.O UVW=. "−&* 89391. :3;<=. :#) >/?@=. 7 *G ‫ اﻟﻀﺮب واﻟﻘﺴﻤﺔ‬٢-٢٤ W-'DEl, 1%23^ 2rD/ ;S C@B`> BE'% .ErN 12J'% m cB5 E/ C@JG!E'% .Er ;T W12 J'% m c B5 E/ W/23@sE' -Ese'%N d! '% +.G @, -HIJ'% O2PQR% ;7 A;BCD<= b > \2"QR% -.> È3 zD{/ Z{' Yb H!G q,6 c# W-X l.l* -Ese'% ‚ ‚ W+{Ea @, !R~G @. Ai -./0% -`R$% +3 4r^ < Z[ S87 d!k c*@w 4sw% !" | &`3 <8T YsH% !& S9 &`3 78= YsH% !) S=8= 12J'% }3@k !* ?= &`3 S98= -EsH f/@m @, !+ < Z[ 78= d!k% !, ?S8| 12J'% }m @, !- ?98| Z[ : d!k f/@m @, !F 7 &`3 :8= YsH% !E ?S8V 12J'% }Jk @, !"G ? = = × 98: ! ( $ *" !"" Z[ -H@A'% 1%23$% cE#^ :Z/~a @E, c# <8T = | × ? ! O $ ? = V × 98: !%$ =8< = U × ? ! [\ $ ? = U × 98: ; # $ 98U = ? ÷ V8S ! ( $ 98V = | ÷ ? ; O ? = V ÷ <8V !%$ ? = | ÷ :8T ; # $ S8V = ? × 98T ; ' $ !"& Z[ -H@A'% 1%23$% cE#^ :Z/~a @E, c# 98T = : ÷ ? ! [\ $ XVDY=.O %PZ=. &−&* 89391. :3;<=. :#) >/?@=. 7 98< = ? ÷ 78| ; ' $ (٢) ‫ اﻟﺠﻤﻊ واﻟﻄﺮح‬١-٢٥ A;BCD<= :zD{a .lG +.Qa!v3 +.Q'qA, +, +a123 +aD{Q' : N | N = N < N 7 N T N S N 9 O@H6$% O2PQR% <9 12J'% &'( +{Ea @, d!H^ +a12J'% Er c*@w ! # $ S9 12J'% &'( +{Ea @, d!H^ +a12J'% +.G ¡! '% !%$ C@H@gG O2PQR% WO@H6$% W-?@E'% +, pqF'% -'qA, N^ u!vJ'% +, pqF'% -'qA, Z[ ! '% kN O23 4Fa ? ? ‚ ? ? O ? ? ‚ ? ? b -./0% 1%23$% +, -b .> ?@Ay -3DEF, 5 :+a12J'% +.G ¡! '% Yy !"#$% 12J'% ,2rN^ c{' !" T− N U− ! ( $ |− N <− !%$ S− N =− ; # $ |− N 9 ! O $ ST− N T− ! [\ $ < N =− ; ' $ 7S89< + <=8V7 ! ( $ <U8:V − :987< ! O $ :Z/~a @E, c # Z[ -.> G@sl'% C@.> ÈJ'% hi cE#^ !& S:8|< + S78T| !%$ =8| + S<8V ; # $ =T8:= − |V8|7 ! [\ $ T|8| − =|8S ; ' $ W-a6@FQ'% CIlE'% 2w^ Z[ ."`' -kN!J, 4?@ew £Iy 2rD/ !) ] ""HFGG _(` XabYc=. ^3JK ] ")H)+G _%` XabYc=. ^3JK ] ",H+GG _#` XabYc=. ^3JK ,¤ -".el'%N d -".el'% !."3 C!Q¥% %( ?je m^ Y{[ !&$ SPT=.O UVW=. "−&+ 89391. :3;<=. :#) >/?@=. 7 *& S<8US N S=89= +a12J'% +.G ¡! '% 2rN^ !* X S:89:9N ,C@a6 =8<=9N ,C@a6 SS98TS9 Er c*@w @, !+ ?@a6 = < 7 T :Z/~a @E.[ -`R$% +3 -G@r' -./0% 1%23$% O2PQR% !, 9 S− T− 7− <− =− ?V @EKA.G ¡! '% +a12J'% o^ ;#$ ?< @EKA.G ¡! '% +a12J'% o^ ;%$ S !Q¥% !W@GX @Q# c.[N !*@m +, c# b C@a6 S9 '% -[ +, -X a 2em -X H6N d@Q{`' @XAEy c.[ [1 W_`"E'% ZH@G \@a6 S89=9 ?@"'% n.'( 1@3^N b WC@a6 |8:U9 !*@m d@Q# +Ey _`G @EA.G X Y# ?!*@m nJ[1 @E3 u1@a nG@Q# p%!¥ 2A3 c.[ [1 @a6 *H& "H+, c*@w zD{a .lG g> PE'% cE#^N ¦sm% !F 5 Z[ -yIB'% 1%23$% Er S9 oN@sa t c# ? &H) ? ? )HE+ "d)" W-X l.l* -./0% -.> G@sl'% C@.> ÈJ'% zD{Q' u1De E'% O@H6$% 2rN^ !E S ‚ 7 ? S ? ‚ ? S − S < ‚ U V ? *) V ‚ ? : ? ‚ | ? − 7 ‚ | U ‫ ﻗﻮاﻧﻴﻦ اﻟﺤﺴﺎب‬١-٢٦ +{'N nG DEs, ST = < × 7 WnG DEs, !.« 7 + ST A;BCD<= ª%DH$@G @JX , < ,7 ,T ,S 1%23$% +, @a ^ O2PQR% b 1%23$% +, +{E, 62H !"#^ +aD{Q' -.ÈJ'% C%6@¥(N T9 &'( SS +, O%2PQR@G nAaD{/ A{Ea @EH6 X Y# -JG6$% 1%23$% O%2PQR% &`3 \@B, %hi S| = ;S − 7 × ;T + < :@K`5 # g.@f1. :PhijkL !]Ô# ?-.> G@sl'% -.> ÈJ'% Z[ < ,7 ,T ,S W-.> ,D.'% u@.l'% Z[ -EKE'% 6D,$% +, C@.> ÈJ'% 4./!/ 2Ja X n`J / oh'% @, ?§@e.QR% N^ -.> R62E'% -`[@l'@G ¡@l`'% ,N^ ? = ;| − SS + : !%$ ? = ;S − < − ;7 + T ! ' $ ? = < × ;U ÷ T: ! O $ X :Z/~a @E' D`w fQAQR% !" ? = | + ;< × 7 ; # $ ? = S7 + ;: ÷ S< ; ( $ ? = ;S + 7 × ;| − S< ; [\$ WQG@r( ¨kN 5 ?-© ]@t N^ -© l.l* -./0% C%6@"J'% ci !& T ÷ V + | = ;T ÷ V + | !%$ ;= × < × 7 = = × ;< × 7 ! ' $ ;T × | + 7 = T × ;| + 7 ; # $ ;7 × T − : = 7 × ;T − : ; ( $ = − ;7 × = = = − 7 × = ; [\$ %3Dc=. eb5.@f "−&, 89391. :3;<=. :#) >/?@=. 7 ** :-X l.l* @K`JF' -./0% -.> G@sl'% C@.> ÈJ'% Z[ ª%DH$% k¬ !) <T = < + T × < + 7 !%$ <9 = = × T + | ; # $ SV = T × T + 7 + < ! ' $ SV = T + < × 7 ; ( $ W@Kll[ ,-X ]@t u6@"J'% jm@# %( ?-© ]@t N^ -© l.l* -./0% C%6@"J'% ci !* 5 7| = < × U ; # $ SV = < × 7 + | ;%$ UVW=. laf XVDY=.O %PZ=. 7| = < × ;7 + | ; ( $ !SPT=.O SV = < × ;7 + | ; ' $ f/@m 2rN^ !+ :-./0% -.> G@sl'% C@.> ÈJ'% +, c# ? = < − V × = ;d ? =<×T+:; # $ ? = T × | − S: ; 1 ? = = ÷ T9 + S= ; ( $ ? = = × 7 − | × <; N <T × = ;T + <9 × = = ;T × = + ;<9 × = = S9 + T99 = TS9 = S| × U ; 1 :7 × V ; :PhijkL O%2PQR% @AA{Ea ¨.kDQ' ª%DH$% C@.> È3 Z[ cw%!E'% W!.{ Q'% :< × < ; ¤ U7 × 7 ; T7 = ? − ;= × = ;d ? = < ÷ S| − SV ; [\ $ C%6@¥M%N ª%DH$% , -./0% 1%23$% O2PQR% !, WdD`gE'% 12J'% &`3 \Dl`' -.G@sl'% 7= &`3 \Dl`' = ,= ,T ; # $ ST9 &`3 \Dl`' S9 ,: ,= ;%$ SV &`3 \Dl`' S< ,= ,T ; ( $ :Z/~a @E, I # 4sw% !<= × | ;d :S × < ; # $ |V × : ; N |V × = ; [\ $ :Z/~a @E, c # Z[ u1De E'% 1%23$% 2rN^ !F SU = ? + ;< × 7 ; # $ ST = ? − ;= × < ; ( $ :-X l.l* -./0% C%6@"J'% cJF' = N^ < N^ > C%6@¥M% 2w( O2PQR% !E < + ;7 × T ? ;< + 7 × T ;d = − ;: + V ? : − ;= + V ; # $ ;T ÷ = × S9 ? T ÷ ;= × S9 ; ( $ *+ ‫ اﻟﻜﺴﻮر واﻟﻘﺴﻤﺔ‬٢-٢٦ 7 T9 +, < <= S T < ÷ |9 7 T ÷ T9 =9 +, T9 +, S = |9 +, S= +, = T9 7 ÷ 79 |9 < =9 T = ÷ <= S < 79 +, <= +, S 7 T 7 S }v{QsA' -.> G@sl'% C@.> ÈJ'% .Er 1 2w S9 oN@sa @KF/@m ZQ'% 7 = ÷ =9 2rN^ !" :-a> !s# 1%23^ c{¥ &`3 QG@r( 4Q#% Yy ,-./0% -.> G@sl'% C@.> ÈJ'% cw U ÷ =T= ! ( $ : ÷ <TU !%$ < ÷ TT: ; # $ V ÷ <=U ! O $ | ÷ 7S= ! [\$ = ÷ 7VU ; ' $ 2rN^ !& :-a!v3 6Ds# c{¥ &`3 QG@r( 4Q#% Yy ,-./0% -.> G@sl'% C@.> ÈJ'% cw = ÷ <|V ! ( $ T ÷ 7:= !%$ < ÷ <US ; # $ :@. Ai -./0% -`R$% +3 4r^ !) ?-?@EJG6$% Z[ C@A.JG6$% 123 Y# ; # $ ?+.Js/N -JsQ'% ZB`y f/@m @, ;%$ ?12J'% %hiDi @E[ ,-?@EJG6^ Di 12J'% @Jk^ -JG6^ ; ( $ b ?-sEt &`3 TV -EsH 2A3 ZH@"'% @, ; ' $ b -yIy Di 12J'% @Jk^ -QR ; [\$ ?12J'% %hi Di @E[ ,x ?}'$% E © t @, ; O $ ?12J'% %hi Di @E[ ,z@Ay% ZH@"'%N ,+.Ay% -G@rM% ¨"/ ,-J"R &`3 12J'% -EsH 2A3 ; m $ ?+.JG6$%N -JG6$% @G6^ -yIy f/@m @, ; S $ W+a!vJ'%N -sEP'% }m 5 ;:$ b W+a!v3N -sEt &`3 -?@EsEt YsH% ; Q $ TS ÷ ::: ! ( $ TT ÷ V=V ! O $ S: ÷ :VT !%$ ST ÷ |U| ! [\ $ :Z/~a @, 4sw% !* S< ÷ |79 ; # $ SU ÷ V== ; ' $ XVDY=.O K@DB=. &−&, 89391. :3;<=. :#) >/?@=. 7 *, :9 +, : !($ S9 79 +, SV9 +, U ! O $ =99 +, S9 :Z/~a @E, I # 2rN^ !+ 7 ;d = T< +, S: ; i S99 ?\@a6 S99 +, 79 +, T ;#$ 7 7 ;'$ S9 7 : O^ X@a6 U9 +, :!"#^ @EKa ^ !, = S9 X p@[N jER6 !WC@JG> !, -{"¥ &`3 I{¥ S jmD'N W¡6$% zD`'@G C@JG> !E'% > -{"¥ < W!Ew$% zD`'@G C@JG> !E'% -{"¥ S jmD'N > T W! t$% zD`'@G -{"v'% Z[ !t$% C@JG> !E'% > jmD'N ?p%! P'% C@JG> !E'% 123 @E[ <87 < 7 = < 7 S9 b W 1%23^ -sEt Z/~a @E.[ !F <8| < | S9 ?= &`3 T7 -EsH c*@w Di 1%23$% hi +, o^ WC@ . PQ'% N!3 2w^ \It 4Q{'% ®JG c.[ !Q¥% !E ,Z`*$% !Js'% S C@ . PQ'% -E.H = WX@a6 V9 z@# Z`*$% !Js'%N ?4Q{'% cG@e, c.[ nJ[1 oh'% _`"E'% 6%2e, @, *- ‫ اﻟﻜﺴﻮر‬١-٢٧ ‫ُمفردات الدرس‬ zD{/ :-[@{QE'% 6Ds{'% &`3 W-E.e'% Z[ -X aN@sQ, :\@BE'% c."R A;BCD<= S oN@s/ ZQ'% 6Ds{'% .Er T b +3 u6@"3 O@e, @K' WZrN 123 © T× ?-X l.l* u6@"J'% hi jm@# %( @, }v{QR% | 7 = S9 = WG -*@P'% f?@QA'% 4Q#% T× c.è/ ZAJa :6Ds{'% .s"/ ¯@P'% s"'%N O@eE'% b !)*^ &'( !s{'@G 123 b W+{E, :\@BE'% c."R &`3 S < ➝ 7 ST :-./0% C@gg> PE'% Z[ -[@{QE'% 6Ds{'% cE#^ !" 79 S| | S9 | T 7 7 < ST T< T< T< <9 S= ST :u6D* sG^ Z[ -./0% 6Ds{'% zD{Q' cE#^ !& U !'$ S= T T< = !($ ? 7| ? | = !%$ = 79 T S< = ;#$ ? TS ? ST = !O$ < S| 7 S= = ! [\ $ ? T= ? S= = ;'$ < T9 S= !($ <= U !%$ 7| S< ;#$ TV b :u6D* sG^ Z[ -./0% 6Ds{'% 4Q#% !) K@DB=. "−&- 89391. :3;<=. :#) >/?@=. 7 *F b !s{'% z( \De/N ;1%23^ ZQH@gG O%2PQR@G %!s# -Fa2t jmD# !* > X W}A'% oN@sa @KG ¯@P'% ?-Fa2t nQmD# > oh'% +{EE'% !s{'% @, ,S9 12J'% Di @Ka2' 1%23$% 2w^ b b b ?u2w%N -ÈQl, -G@r( +, !B#^ @Ai ci :6Ds{'% c`5 LN -./0% C@{"v'% ¦sm% !+ 7 < S T S | S 7 = | T 7 S < :-./0% -`R$% hi +3 -G@rM% &`3 /23@sE' G -*@P'% f?@QA'% O2PQR% :-l.l* -./0% C%6@"J'% hi zD{Q' = N^ , < , > C%6@¥M% 2w( 4Q#% ; # $ S T S = ;7 ? 7 ST = T ? ;T | 7 S S ? ;S 7 < S S ? ;| 7 | 7 U ;= ? < ST = SS ;< ? | ST = | < ST T ;T 7 :!"#$% &'( !)*$% +, -./0% 6Ds{'% 4/6 ;%$ S | = ST S 7 S ;S T WC%6@"Qt% 2w^ Z[ S9 +, = &`3 d!J`G cw !, b W!tx 6@"Qt% Z[ T9 +, S9 &`3 c. '% cw ?c [$% -F.QA'% &`3 cw +° ,¬ W-G@rM% &'( j`*D/ > }.# !¥% *E ‫ ا&ﻋﺪاد اﻟﻜﺴﺮﻳﺔ واﻟﻜﺴﻮر ﻏﻴﺮ اﻻﻋﺘﻴﺎدﻳﺔ‬٢-٢٧ A;BCD<= |−S 1!A'% 6@Fw^ +, +a!Fw O 6% − b Wo1@.Q3% !.«!s# +aD{Q' @EK,2PQR%N ‫ُمفردات الدرس‬ +, z© D{, 12J'% > 1© 23 :o!s{'% Wo1@.Q3% !s#N ¨.l* 123 b 1%23^ &'( -a1@.Q3% !.« 6Ds{'% \Dw − W-a> !s# S 7< :\@BE'% c."R &`3 !s# Di :o1@.Q3% !.« !s{'% Wn,@e, oN@sa N^ !"#^ ngsG W@EX > A, +# = -sEt :\@BE'% c."R &`3 7 7 b b ;£Iy^ -yIy N ;£Iy^ 7 b &'( o1@.Q3% !.« !s# b +, Z/~a @E, I # \Dw :o!s# 123 !" W-a1@.Q3% !.« 6Ds# < S !O$ | " = & T ! [\ $ 7 ) - `QPE'% -a> !s{'% 1%23$% 123 ±eQR% − W@KAaD{/ +{Ea ZQ'% SS !($ = 79 !%$ : S7 ;#$ < = !O$ 7 SS ! [\$ V U ;'$ : b +, Z/~a @E, I# b &'( o!s# \Dw :o1@.Q3% !.« !s# 123 !& < T !'$ = 7 T !($ 7 T S !%$ 7 S S ;#$ < :b@G6^ &'( !?@g[ G6^ jJg5 H !) ?G6$% !?@g '% .ge/ 2JG jFQm -X JgH Y# ; # $ ?-.e5 "QE'% !?@g '% -.E# @, ,bgH Et j`¬ # ^ ;%$ W-a> !s{'% 1%23$%N -a1@.Q3% !.« 6Ds{'@G /@G@r( 4Q#% * ?@m1^ 1%23$% t Z[ z%1De E'% z@a> !s{'% z%12J'% @, !* XJ'3bC0^. 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Podręcznik do matematyki dla klasy 6, semestr 2

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Podręcznik do matematyki dla klasy 6, semestr 2

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