Curriculum Adaptat Matematica Cls a VII

8/18/2019 Curriculum Adaptat Matematica Cls a VII

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UNITATEA DE ÎNVĂ ĂMÂNT:ȚCOLEGIUL TEHNIC “APULUM” ALBA IULIA

Anul școlar 2015-2016PROFEOR: !E!I"IA #RUIAN

DI!IP"INA:MATEMATI!Ă

VI$A DIRE!TOR%

VI$A REPONA&I" DE !ATEDRĂ%

CURRICULUM ADAPTATMATEMATICĂ

Clasa a VII-aAn şcolar 2!"-2!#

Ela$ora% &'(a (ro)ra*a şcolar+ a(ro$a%+ (r,n Or&,n'l M,n,s%r'l',. Crc%+r,, ş, Ino/+r,, n'*+r'l "01 &,n

0020

ARGUMENT

Acs% c'rr,c'l'* s% a&a(%a% l/,lor c' cr,n3 s(c,al 4n /&ra (arc'r)r,, c5% *a, 'şor a (ro)ra*, şcolar6C'rr,c'l'*'l 4ş, (ro('n s+ a&'c+ 4n a%n3,a l/,lor c' CE7 *%o& %ra&,3,onal&ar ş, *o&rn.ac%,/ 8(ar%,c,(a%,/ &(r&ar 84n/+3ar-/al'ar.& o$3,nra ,n9or*a3,,lor ncsar (arc'r)r,, *a%r,,.9olos,n& *%o&.*,:loac ş,,ns%r'*n% & l'cr' c5% *a, a&c/a% acs%or ca;'r,6

Pr,n s%ra%),,l a$or&a% s ar 4n /&r ş, o $'n+ cola$orar c' (ro9sor'l (s,


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VI$A DIRE!TOR%


COMPETEN>E GENERALE

!6 I&n%,9,cara 'nor &a% s, rla%,, *a%*a%,c s, corlara lor ,n 9'nc%, & con%?%'al ,n car a' 9os% &9,n,%26 Prl'crara &a%lor & %,( can%,%a%,/. cal,%a%,/. s%r'c%'ral. con%?%'al c'(r,ns ,n n'n%'r, *a%*a%,c@6U%,l,;ara al)or,%*,lor s, a conc(%lor *a%*a%,c (n%r' carac%r,;ara locala sa' )lo$ala a 'n, s,%'a%,, concr%6 E?(r,*ara carac%r,s%,c,lor *a%*a%,c can%,%a%,/ sa' cal,%a%,/ al 'n, s,%'a%,, concr% s, a al)or,%*,lor &(rl'crar a acs%ora"6 Anal,;a s, ,n%r(r%ara carac%r,s%,c,lor *a%*a%,c al 'n, s,%'a%,,-(ro$l*a#6 Mo&lara *a%*a%,ca a 'nor con%?% (ro$l*a%,c /ar,a%. (r,n ,n%)rara c'nos%,n%lor &,n &,9r,% &o*n,,

VALORI I ATITUDINI

!6 D;/ol%ara 'n, )an&,r, &sc


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VI$A DIRE!TOR%


COMPETEN>E 7PECI=ICE 8 ALGEBRĂ

Un,%a%a & 4n/+3ar Co*(%n% s(c,9,c

IM'l3,*an'*rlorra3,onal

1' I&n%,9,cara carac%r,s%,c,lor n'*rlor ra%,onal s, a 9or*lor & scr,r a

acs%ora ,n con%?% /ar,a% 2' A(l,cara r)'l,lor & calc'l c' n'*r ra%,onal. a s%,*ar,lor s, aa(ro?,*ar,lor (n%r' r;ol/ara 'nor c'a%,, 5' D%r*,nara r)'l,lor 9,c,n% & calc'l ,n 9c%'ara o(ra%,,lor c'n'*r ra%,onal

IIM'l3,*a

n'*rlor ral

1' I&n%,9,cara carac%r,s%,c,lor n'*rlor ral s, a 9or*lor & scr,r aacs%ora ,n con%?% /ar,a% 2' A(l,cara r)'l,lor & calc'l c' n'*r ral. a s%,*ar,lor s, aa(ro?,*ar,lor (n%r' r;ol/ara 'nor c'a%,, 5' D%r*,nara r)'l,lor & calc'l 9,c,n% ,n 9c%'ara o(ra%,,lor c'n'*r ral


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VI$A DIRE!TOR%


IIICalc'l al)$r,c

1' I&n%,9,cara 'nor r)'l, & calc'l n'*r,c sa' al)$r,c (n%r' s,*(l,9,cara'nor calc'l (' A(l,cara r)'l,lor & calc'l s, 9olos,ra (aran%;lor ,n 9c%'arao(ra%,,lor c' n'*r ral 5' O$%,nra 'nor ,n)al,%a%, c

a b. a, b∈

R @ a F b s, b F c => a F c% a. $. c ∈ R


5/18




VI$A DIRE!TOR%


IVEc'a3,, ş, ,nc'a3,,

1' I&n%,9,cara 'nor r)'l, & calc'l n'*r,c sa' al)$r,c (n%r' s,*(l,9,cara'nor calc'l (' A(l,cara r)'l,lor & calc'l s, 9olos,ra (aran%;lor ,n 9c%'arao(ra%,,lor c' n'*r ral 5' O$%,nra 'nor ,n)al,%a%, c

a b. a, b∈

R @ a F b s, b F c => a F c% a. $. c ∈ R

VEl*n% &or)an,;ar a

&a%lor

1' I&n%,9,cara 'nor cors(on&n% ,n%r &,9r,% r(r;n%ar, al acloras, &a%2' R(r;n%ara 'nor &a% s'$ 9or*a & )ra9,c. %a$l sa' &,a)ra* s%a%,s%,c,n /&ra ,nr),s%rar,,. (rl'crar,, s, (r;n%ar,, acs%ora 5' Anal,;ara 'nor s,%'a%,, (rac%,c c' a:'%or'l l*n%lor & or)an,;ar a

&a%lor


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VI$A DIRE!TOR%


COMPETENTE 7PECI=ICE 8 GEOMETRIE

Un,%a%a & 4n/+3ar Co*(%n% s(c,9,c

VI

Pa%r'la%r

1' Rc'noas%ra s, &scr,ra (a%r'la%rlor ,n con9,)'ra%,, )o*%r,c &a% 2' I&n%,9,cara (a%r'la%rlor (ar%,c'lar '%,l,;an& (ro(r,%a%, (rc,;a% (' U%,l,;ara (ro(r,%a%,lor cal,%a%,/ s, *%r,c al (a%r'la%rlor ,nr;ol/ara 'nor (ro$l* 6' In%r(r%ara ,n9or*a%,,lor &&'s &,n r(r;n%ar, )o*%r,c ,n

corla%, c' an'*,% s,%'a%,, (rac%,c

VIIAs*+nara

%r,'n)


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VI$A DIRE!TOR%


VIIIRla3,, *%r,c 4n

%r,'n)


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VI$A DIRE!TOR%


PLANI=ICARE 7EME7TRIALĂ7EME7TRUL I

ALGEBRĂ2 or s+(%+*5n+Clasa a VII-a B

C'rr,c'l'* a&a(%a%

Nr6cr%6

Un,%a%a&

4n/+3arCo*(%n3 s(c,9,c Con3,n'%'r, Nr6or 7+(%+*5na O$s6

0

E/al'ar (r&,c%,/a a c'nos%,n%lor ac'*'la% an%r,or 2 7!

!M'l%,*an'*rlorra3,onal

1' I&n%,9,caracarac%r,s%,c,lor n'*rlorra%,onal s, a 9or*lor &scr,r a acs%ora ,n con%?%/ar,a% 2' A(l,cara r)'l,lor &calc'l c' n'*r ra%,onal. as%,*ar,lor s, a a(ro?,*ar,lor(n%r' r;ol/ara 'norc'a%,, 5' D%r*,nara r)'l,lor9,c,n% & calc'l ,n9c%'ara o(ra%,,lor c'n'*r ra%,onal

M'l%,*a n'*rlor ra%,onal r(r;n%aran'*rlor ra%,onal ( a?a n'*rlor o('s'l 'n',n'*ar ra%,onal N ⊂ Z ⊂ Q

2 72

Or&,na 9c%'ar,, o(ra%,,lor s, 9olos,ra(aran%;lor

2 7@

E/al'ar 2 7 Ec'a%,, & 9or*a ax+b=0. c' a n'*ar ra%,onalnn'l s, b n'*ar ra%,onal

2 7"

E/al'ar

! 7#

Ra&ac,na (a%ra%a a 'n', n'*ar na%'ral (a%ra% ! 7#


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VI$A DIRE!TOR%


2M'l%,*an'*rlorral

1' I&n%,9,cara

carac%r,s%,c,lor n'*rlorral s, a 9or*lor & scr,ra acs%ora ,n con%?% /ar,a% 2' A(l,cara r)'l,lor &calc'l c' n'*r ral. as%,*ar,lor s, a a(ro?,*ar,lor(n%r' r;ol/ara 'norc'a%,, 5' D%r*,nara r)'l,lor &calc'l 9,c,n% ,n 9c%'ara

o(ra%,,lor c' n'*r ral

(r9c%

Al)or,%*'l & ?%ra)r a ra&ac,n,, (a%ra% &,n%r-'n n'*ar na%'ral

2 71

E?*(l & n'*r ,ra%,onal *'l%,*an'*rlor ral R co*(arara s, or&onaran'*rlor ral r(r;n%ara n'*rlor ral (a?a n'*rlor ral (r,n a(ro?,*ar,

N ⊂ Z ⊂ Q ⊂ R

2 7J

O(ra%,, c' n'*r ral a&'nar. sca&r.,n*'l%,r. ,*(ar%,r. r,&,car la ('%r

# 7!.7!!.7!2.7!@

E/al'ar 2 [email protected]!

@ E/al'ar s*s%r,ala

Rca(,%'lar 2 70

T;a

! 7!

Calc'lal)$r,c

1' I&n%,9,cara 'nor r)'l,& calc'l n'*r,c sa'al)$r,c (n%r' s,*(l,9,cara'nor calc'l (' A(l,cara r)'l,lor &calc'l s, 9olos,ra

(aran%;lor ,n 9c%'arao(ra%,,lor c' n'*r ral 5' O$%,nra 'nor ,n)al,%a%,c


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VI$A DIRE!TOR%


2 a F b s, b F a => a b.a, b ∈ R

@ a F b s, b F c=>

a F c%a. $. c

∈

R


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VI$A DIRE!TOR%


PLANI=ICARE 7EME7TRIALĂ7EME7TRUL II

ALGEBRĂ 2 ors+(%+*5n+Clasa a VII-a B

C'rr,c'l'* a&a(%a%Nr6cr%6

Un,%a%a&

4n/+3arCo*(%n3 s(c,9,c Con3,n'%'r, Nr6or 7+(%+*5na O$s6

!

Calc'lal)$r,c

1' I&n%,9,cara 'norr)'l, & calc'ln'*r,c sa' al)$r,c(n%r' s,*(l,9,cara'nor calc'l (' A(l,cara r)'l,lor& calc'l s, 9olos,ra(aran%;lor ,n9c%'ara o(ra%,,lorc' n'*r ral 5' O$%,nra 'nor

,n)al,%a%, c

a b. a, b ∈ R

Dsco*('nra ,n 9ac%or, *%o&a 9ac%or'l', co*'n 2 7!0 Dsco*('nra ,n 9ac%or, *%o&a 9or*'llor & calc'l(rsc'r%a%

2 72

Dsco*('nra ,n 9ac%or, *%o&a co*$,na% 2 72! Ec'a%,, & 9or*a x²=a

722.72@

E/al'ar 2 72


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VI$A DIRE!TOR%


@ a F b s, b F c=> a F c% a. $. c ∈ R

2

Ec'a%,, s, ,nc'a%,,

1' I&n%,9,cara 'norr)'l, & calc'ln'*r,c sa' al)$r,c(n%r' s,*(l,9,cara'nor calc'l (' A(l,cara r)'l,lor& calc'l s, 9olos,ra

(aran%;lor ,n9c%'ara o(ra%,,lorc' n'*r ral 5' O$%,nra 'nor,n)al,%a%, c

a b. a, b ∈ R @ a F b s, b F c=> a F c% a. $. c ∈ R

Pro(r,%a%,l al rla%,, & )al,%a% ,n *'l%,*an'*rlor ral

! 72"

Ec'a%,, & 9or*a ax+b=0. a. $ n'*r ral *'l%,*asol'%,,lor 'n, c'a%,, c'a%,, c


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VI$A DIRE!TOR%


@El*n% &or)an,;ar a&a%lor

1' I&n%,9,cara 'norcors(on&n% ,n%r&,9r,% r(r;n%ar,al acloras, &a%2' R(r;n%ara 'nor&a% s'$ 9or*a &)ra9,c. %a$l sa'&,a)ra* s%a%,s%,c ,n/&ra ,nr),s%rar,,.(rl'crar,, s,(r;n%ar,, acs%ora 5' Anal,;ara 'nors,%'a%,, (rac%,c c'a:'%or'l l*n%lor &or)an,;ar a &a%lor

Pro&'s'l car%;,an a &o'a *'l%,*, n/,&

r(r;n%ara ('nc%lor ,n (lan c' a:'%or'l s,s%*'l', &a? or%o)onal &,s%an%a &,n%r &o'a ('nc% &,n (lan

2 7@2

R(r;n%ara s, ,n%r(r%ara 'nor &(n&n%9'nc%,onal (r,n %a$l. &,a)ra* s, )ra9,c

! 7@@

Pro$a$,l,%a%a ral,;ar,, 'nor /n,*n% ! 7@@ E/al'ar 2 7@

6 Rca(,%'lar9,nal+

Rca(,%'lar 9,nal+ 7@".7@#


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VI$A DIRE!TOR%


PLANI=ICARE 7EME7TRIALĂ7EME7TRUL I

GEOMETRIE2 ors+(%+*5n+CLA7A aVII-a B

C'rr,c'l'* a&a(%a%

Nr6cr% Un,%a%a& 4n/+3ar

Co*(%n3 s(c,9,c Con3,n'%'r, Nr6or 7+(%+*5na O$s

!

Pa%r'la%r

1' Rc'noas%ra s,&scr,ra (a%r'la%rlor ,ncon9,)'ra%,, )o*%r,c &a% 2' I&n%,9,cara(a%r'la%rlor (ar%,c'lar'%,l,;an& (ro(r,%a%,(rc,;a%

(' U%,l,;ara (ro(r,%a%,lorcal,%a%,/ s, *%r,c al(a%r'la%rlor ,n r;ol/ara'nor (ro$l* 6' In%r(r%ara,n9or*a%,,lor &&'s &,n

Pa%r'la%r con/? &9,n,%,. &sn 2 7! 7'*a 'n)


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VI$A DIRE!TOR%


r(r;n%ar, )o*%r,c ,n

corla%, c' an'*,% s,%'a%,,(rac%,c

2 L'crars*s%r,al+

Rca(,%'lar 2 70 T;aKD,sc'%ara %;, 2 7!

@

As*anara%r,'n)


16/18




VI$A DIRE!TOR%


PLANI=ICARE 7EME7TRIALĂ7EME7TRUL II

GEOMETRIE2 ors+(%+*5n+CLA7A aVII-a B

C'rr,c'l'* a&a(%a%Nrcr%

Un,%a%a & 4n/+3ar

Co*(%n3s(c,9,c

Con3,n'%'r, Nr6or 7+(%+*5na O$s6

! As*anara%r,'n)


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VI$A DIRE!TOR%


2 Rla3,,*%r,c 4n%r,'n)


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VI$A DIRE!TOR%


s, a 'nor *as'r, &

'n)

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Curriculum Adaptat Matematica Cls a VII