Matematicas NM IB - Guia de La Materia Mat Sl Ib

Programa del Diploma

Guía de Matemáticas NM Primeros exámenes: 2014

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Guía de Matemáticas NM

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Propósito de esta publicación

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Introducción

El Programa del Diploma

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Estudios de Lengua y Literatura

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Grupo 5

Matemáticas

Grupo 6

Artes

Figura 1 ;'.%*' .%* @$'>$ 7"7 .%* A,#*'"7

2


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La combinación adecuada I%$ (0;'&%$ /+<+& +0+,-) ;&( ($-,&(.;)( /+ *(/( ;&( /+ 0($ $+-$ _)+($ (*(/c'-*($! (;&b;+ .('<-c& .-+&+& 0( %9*-3& /+ +0+,-) ;&( $+,;&/( ($-,&(.;)( /+ 0%$ ,);9%$ /+0 ? (0 A +& 0;,() /+ ;&( ($-,&(.;)( /+0 J);9% f7 J+&+)(0'+&.+ .)+$ ($-,&(.;)($ N# &% '_$ /+ *;(.)%O /+<+& *;)$()$+ +& +0 i-E+0 L;9+)-%) NiLO # 0($ /+'_$ +& +0 i-E+0 G+/-% NiGO7 `0 64 )+*%'-+&/( /+/-*() =Y> 5%)($ 0+*.-E($ ( 0($ ($-,&(.;)($ /+0 iL # ?A> ( 0($ /+0 iG7 I($ ($-,&(.;)($ /+0 iL $+ +$. ;/-(& *%& '(#%) ('90-.;/ # 9)%D;&/-/(/ b;+ 0($ /+0 iG7 `& ('<%$ &-E+0+$ $+ /+$())%00(& &;'+)%$($ 5(<-0-/(/+$! +& +$9+*-(0 0($ /+ (&_0-$-$ # 9+&$(' -+&.% *)@.-*%7 h-*5($ 5(<-0-/(/+$ $+ +E(0d(& +M.+)&('+&.+ (0 D-&(0 /+0 *;)$%7 `& ';*5($ ($-,&(.;)($ 0%$ (0;'&%$ )+(0-2(& .('<-c& .)(<(^%$ b;+ *(0-D-*( /-)+*.('+&.+ +0 9)%D+$%) +& +0 *%0+,-%7 I%$ +M_'+&+$ 9;+/+& )+(0-2()$+ +& +$9(:%0! D)(&*c$ + -&,0c$! ( +M*+9*-3& /+ 0%$ ,);9%$ ? # =W 0%$ +M_'+&+$ /+ +$.%$ /%$ ,);9%$ $+ 5(*+& +& 0( 0+&,;( %<^+.% /+ +$.;/-%7

El núcleo del hexágono V%/%$ 0%$ (0;'&%$ /+0 C)%,)('( /+0 h-90%'( /+<+& *%'90+.() 0%$ .)+$ )+b;-$-.%$ b;+ *%&D%)'(& +0 &d*0+% /+0 5+M_,%&%7 I( )+D0+M-3& -&5+)+&.+ ( 0($ (*.-E-/(/+$ b;+ 0%$ (0;'&%$ /+$() )%00(& +& +$.($ _)+($ +$ ;& 9)-&*-9-% D;&/('+&.(0 /+ 0( D -0%$%D@( /+0 C)%,)('( /+0 h-90%'(7 `0 *;)$% /+ V+%)@( /+0 S%&%*-'-+&.% (&-'( ( 0%$ (0;'&%$ ( )+D0+M-%&() $%<)+ 0( &(.;)(0+2( /+0 *%&%*-'-+&.% # +0 9)%*+$% /+ (9)+&/-2(^+ b;+ .-+&+ 0;,() +& 0($ ($-,&(.;)($ b;+ +$.;/-(& *%'% 9().+ /+0 C)%,)('( /+0 h-90%'(! # ( +$.(<0+*+) *%&+M-%&+$ +&.)+ 0($ _)+($ (*(/c'-*($7 I( G%&%,)(D@(! ;& .)(<(^% +$*)-.% /+ ;&($ Y7>>> 9(0(<)($! %D)+*+ ( 0%$ (0;'&%$ 0( %9%).;&-/(/ /+ -&E+$.-,() ;& .+'( /+ $; +0+**-3& b;+ 0+$ -&.+)+$+ +$9+*-(0'+&.+7 R$-'-$'%! 0%$ +$.-';0( ( /+$())%00() 0($ 5(<-0-/(/+$ &+*+$()-($ 9()( 00+E() ( *(<% ;&( -&E+$.-,(*-3& -&/+9+&/-+&.+! 5(<-0-/(/+$ b;+ /+<+)_& 9%&+) +& 9)_*.-*( +& 0( ;&-E+)$-/(/7 S)+(.-E-/(/! R**-3& # L+)E-*-% 9%$-<-0-.( +0 (9)+&/-2(^+ +M9+)-+&*-(0 '+/-(&.+ 0( 9().-*-9(*-3& /+ 0%$ (0;'&%$ +& ;&( E()-+/(/ /+ (*.-E-/(/+$ ().@$.-*($! /+9%).-E($! D@$-*($ # /+ $+)E-*-% ( 0( *%';&-/(/7

La declaración de principios del IB y el perfil de la comunidad de aprendizaje del IB `0 C)%,)('( /+0 h-90%'( $+ 9)%9%&+ /+$())%00() +& 0%$ (0;'&%$ 0%$ *%&%*-'-+&.%$! 0($ 5(<-0-/(/+$ # 0($ (*.-.;/+$ b;+ &+*+$-.()_& 9()( (0*(&2() 0($ '+.($ /+0 64! .(0 *%'% (9()+*+& +M9)+$(/($ +& $; /+*0()(*-3& /+ 9)-&*-9-%$ # +& +0 9+)D-0 /+ 0( *%';&-/(/ /+ (9)+&/-2(^+ /+0 647 I( +&$+:(&2( # +0 (9)+&/-2(^+ +& +0 C)%,)('( /+0 h-90%'( )+9)+$+&.(& 0( 9;+$.( +& 9)_*.-*( /+ 0( D-0%$%D@( +/;*(.-E( /+0 647


3

Introducción

Naturaleza de la asignatura

Introducción I( &(.;)(0+2( /+ 0($ '(.+'_.-*($ $+ 9;+/+ )+$;'-) /+ E()-($ '(&+)($! 9%) +^+'90%! *%'% ;& *%&^;&.% /+ *%&%*-'-+&.%$ <-+& /+D-&-/%! ;& $-$.+'( (<$.)(*.% /+ -/+($ % ;&( 5+))('-+&.( d.-07 `$ 9)%<(<0+ b;+ 9()( ';*5($ 9+)$%&($ $+( ;&( *%'<-&(*-3& /+ +$.($ .)+$ *%$($! 9+)% &% 5(# /;/( /+ b;+ +0 *%&%*-'-+&.% '(.+'_.-*% 9)%9%)*-%&( ;&( *0(E+ -'9%).(&.+ 9()( 0( *%'9)+&$-3& /+0 ';&/% +& b;+ E-E-'%$7 I($ '(.+'_.-*($ 9;+/+& (9()+*+) +& &;+$.)( E-/( /+ /-E+)$($ D%)'($W (0 *%'9)() 9)%/;*.%$ +& +0 '+)*(/%! *%&$;0.() ;& 5%)()-%! 0++) ;& 9+)-3/-*%! *)%&%'+.)() ;& 9)%*+$% % +$.-'() ;&( 0%&,-.;/7 C()( ';*5%$ /+ &%$%.)%$! 0($ '(.+'_.-*($ .('<-c& D%)'(& 9().+ /+ &;+$.)( 9)%D+$-3&W 0%$ 9-&.%)+$ 5(& /+ (9)+&/+) 9+)$9+*.-E(! 0%$ 'd$-*%$ /+<+& *%'9)+&/+) 0($ )+0(*-%&+$ '(.+'_.-*($ /+&.)% /+ ;& ' -$'% )-.'% # +&.)+ )-.'%$ / -$.-&.%$! 0%$ +*%&%'-$.($ .-+&+& b;+ )+*%&%*+) .+&/+&*-($ +& 0($ .)(&$(**-%&+$ D-&(&*-+)($ # 0%$ -&,+&-+)%$ /+<+& .+&+) +& *;+&.( 0%$ .-9%$ /+ .+&$-3& /+ 0%$ '(.+)-(0+$7 I%$ *-+&.@D-*%$ *%&$-/+)(& 0($ '(.+'_.-*($ *%'% ;& 0+&,;(^+ D;&/('+&.(0 9()( 0( *%'9)+&$-3& /+ 0% b;+ %*;))+ +& 0( &(.;)(0+2(7 R0,;&($ 9+)$%&($ /-$D);.(& /+ 0%$ /+$(D@%$ b;+ 90(&.+(& 0%$ 'c.%/%$ 03,-*%$ /+ 0($ '(.+'_.-*($ # /+ 0( (E+&.;)( /+0 )(2%&('-+&.% b;+ $;9%&+& 0($ /+'%$.)(*-%&+$7 C()( %.)($! 0($ '(.+'_.-*($ *%&$.-.;#+& ;&( +M9+)-+&*-( +$.c.-*( % -&*0;$% ;&% /+ 0%$ 9-0()+$ /+ 0( D-0%$%D@(7 `$.+ 9)+/%'-&-% /+ 0($ '(.+'_.-*($ +& &;+$. )( E-/(! *%& .%/($ $;$ *%&+M-%&+$ -&.+)/-$*-90-&()-($! %D)+*+ '%.-E%$ *0()%$ # $;D-*-+&.+$ 9()( b;+ $+( ;&( ($-,&(.;)( %<0-,(.%)-( 9()( (b;+00%$ (0;'&%$ b;+ *;)$(& +0 C )%,)('( /+0 h-90%'( *%'90+.%7

Presentación de los cursos h+<-/% ( 0($ /-E+)$($ &+*+$-/(/+$! -&.+)+$+$ # *(9(*-/(/+$ /+ 0%$ (0;'&%$! +M-$.+& *;(.)% *;)$%$ /-$.-&.%$ /+ '(.+'_.-*($ 9+&$(/%$ 9()( /-D+)+&.+$ ,);9%$ /+ (0;'&%$W (b;+00%$ b;+ b;-+)+& +$.;/-() '(.+'_.-*($ +& 9)%D;&/-/(/ *%'% ;&( /-$*-90-&( +& $@ '-$'( % 9%) $; -&.+)c$ +& '(.+)-($ (D-&+$j 0%$ b;+ /+$+(& (/b;-) -) ;& *-+).% ,)(/% /+ *%'9)+&$-3& # *%&%*-'-+&.% b;+ 0+$ (#;/+ +& +0 +$.;/-% /+ %.)($ ($-,&(.;)($j # (b;+00%$ b;+ .%/(E@( &% $%& *%&$*-+&.+$ /+ 0( )+0(*-3& b;+ 9;+/+& .+&+) 0($ '(.+'_.-*($ *%& $; $ +$.;/-%$ # *%& 0( E-/( *%.-/-(&(7 S(/( *;)$% +$._ *%&*+<-/% 9()( $(.-$D(*+) 0($ &+*+$-/(/+$ /+ ;& ,);9% *%&*)+.% /+ (0;'&%$7 R$@ 9;+$! 0%$ (0;'&%$ /+<+& +0+,-) *;-/(/%$('+&.+ +0 *;)$% '_$ (/+*;(/% 9()( +00%$7 C()( .%'() +$.( /+*-$-3&! $+ /+<+ (*%&$+^() ( *(/( (0;'&% b;+ .+&,( +& *;+&.( 0%$ $-,;-+&.+$ D(*.%)+$W 

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I($ /+$.)+2($ '(.+'_.-*($ b;+ 9%$++ # +0 _)+( /+ 0($ '(.+'_.-*($ +& 0( b;+ 9;+/( %<.+&+) '+^%)+$ )+$;0.(/%$ L; -&.+)c$ 9+)$%&(0 +& 0($ '(.+'_.-*($ # 0($ _)+($ /+ 0( ($-,&(.;)( b;+ 9;+/(& )+$;0.()0+ '_$ -&.+)+$(&.+$ I($ %.)($ ($-,&(.;)($ b;+ +0-,+ +& +0 C)%,)('( /+0 h-90%'( L;$ 90(&+$ (*(/c'-*%$ 9()( +0 D;.;)%! +& *%&*)+.%! 0($ ($-,&(.;)($ b;+ /+$+( +$.;/-() I( 9)%D+$-3& b;+ /+$+( /+$+'9+:() +& +0 D;.;)%

L+ +$9+)( b;+ 0%$ 9)%D+$%)+$ 9)+$.+& (#;/( +& +$.+ 9)%*+$% # (*%&$+^+& ( 0%$ (0;'&%$7

4



Estudios Matemáticos NM `$.+ *;)$% $+ %D)+*+ $%0% +& +0 i-E+0 G+/-% NiGO # $; &-E+0 +$ +b;-E(0+&.+ (0 /+ G(.+'_.-*($ iG! 9+)% (<%)/( /-$.-&.($ &+*+$-/(/+$7 Q(*+ 5-&*(9-c +& 0($ (90-*(*-%&+$ /+ 0($ '(.+'_.-*($ # 0( 9().+ '_$ +M.+&$( +$ $%<)+ .c*&-*($ +$.(/@$.-*($7 `$._ /-$+:(/% 9()( (0;' &%$ *%& /-$.-&.($ *(9(*-/(/+$ # &-E+0+$ /+ *%&%*-'-+&.% '(.+'_.-*%$! # 0+$ %D)+*+ %9%).;&-/(/+$ 9()( (9)+&/+) *%&*+9.%$ # .c*&-*($ -'9%).(&.+$! ($@ *%'% 9()( *%'9)+&/+) ;&( ('90-( E()-+/(/ /+ .+'($ '(.+'_.-*%$ B R$-'-$'%! 0%$ 9)+9()( 9()( $+) *(9(*+$ /+ )+$%0E+) 9)%<0+'($ +& /-$.-&.%$ *%&.+M.%$! /+$())%00() ;& )(2%&('-+&.% '(.+'_.-*% '_$ *%'90+^% # '+^%)() $; 9+&$(' -+&.% *)@.-*%7 `0 9)%#+*.% -&/-E-/;(0 *%&$-$.+ +& ;& .)(<(^% +M.+&$% <($(/% +& ;&( -&E+$.-,(*-3& 9+)$%&(0 b;+ -'90-*( 0( )+*%9-0(*-3&! +0 (&_0-$-$ # 0( +E(0;(*-3& /+ -&D%)'(*-3&7 I%$ (0;'&%$ b;+ )+(0-2(& +$.+ *;)$% +$._& <-+& 9)+9()(/%$ 9()( 0($ *())+)($ /+ *-+&*-($ $%*-(0+$! 5;'(&-/(/+$! 0+&,;($ % ().+$7 `$ 9%$-<0+ b;+ &+*+$-.+& 5(*+) ;$%! +& $;$ D;.;)%$ +$.;/-%$! /+ 0( +$.(/@$.-*( # +0 9+&$('-+&.% 03,-*% b;+ (9)+&/(& *%'% 9().+ /+0 *;)$% /+ `$.;/-%$ G(.+'_.-*%$ iG7

Matemáticas NM `$.+ *;)$% +$._ /+$.-&(/% ( (0;' &%$ b;+ #( .-+&+& *%&%*-'-+&.%$ $%<)+ 0%$ *%&*+9.%$ '(.+'_.-*%$ D;&/('+&.(0+$ # b;+ 9%$++& 0($ /+$.)+2($ &+*+$()-($ 9()( (90-*() *%))+*.('+&.+ .c*&-*($ '(.+'_.-*($ $+&*-00($7 I( '(#%)@( /+ +$.%$ (0;'&%$ E( ( &+*+$-.() ;&( D%)'(*-3& '(.+'_.-*( $30-/( *%'% 9)+9()(*-3& 9()( $;$ +$.;/-%$ 9%$.+) -%)+$ +& _)+($ .(0+$ *%'% 0( b;@'-*(! 0( +*%&%'@(! 0( 9$-*%0%,@(! # 0( (/'-&-$.)(*-3& # ,+$.-3& /+ +'9)+$($7

Matemáticas NS `$.+ *;)$% +$._ /+$.-&(/% ( (0;'&%$ *%& ;&( <;+&( D%)'(*-3& '(.+'_.-*( b;+ 9%$++& ;&( $+)-+ /+ /+$.)+2($ (&([email protected]*($ # .c*&-*($7 C()( 0( '(#%)@( /+ +$.%$ (0;'&%$! 0($ '(.+'_.-*($ *%&$.-.;-)_& ;&% /+ 0%$ *%'9%&+&.+$ D;&/('+&.(0+$ /+ $;$ +$.;/-%$ ;&-E+)$-.()-%$! *%'% '(.+)-( +& $@ '-$'( % +& _)+($ .(0+$ *%'% 0( D@$-*(! 0( -&,+&-+)@( # 0( .+*&%0%,@(7 C()( %.)%$ 0( +0+**-3& 9;+/+ /+<+)$+ ( b;+ .+&,(& ;& ,)(& -&.+)c$ 9%) 0($ '(.+'_.-*($! 0+$ (.)(-,(& $;$ /+$(D@%$ # /-$D);.+& *%& 0( )+$%0;*-3& /+ 0%$ 9)%<0+'($ b;+ $+ 90(&.+(&7

Ampliación de Matemáticas NS `$.+ *;)$% $+ %D)+*+ $%0% +& +0 i-E+0 L;9+)-%) NiLO7 `$._ /+$.-&(/% ( (0;'&%$ *%& ;&( $30-/( D%)'(*-3& '(.+'_.-*( b;+ 5(& (0*(&2(/% ;& (0.% &-E+0 /+ *%'9+.+&*-( +& ;&( $+)-+ /+ /+$.)+2($ (&([email protected]*($ # .c*&-*($! # b;+ ';+$.)(& ;& -&.+)c$ *%&$-/+)(<0+ 9%) 0( '(.+)-(7 I( '(#%) 9().+ /+ +$.%$ (0;'&%$ 9)+.+&/+ $+,;-) +$.;/-%$ /+ '(.+'_.-*($ +& 0( ;&-E+)$-/(/! <-+& *%'% '(.+)-( +& $@ '-$'( % <-+& *%'% *%'9%&+&.+ D;&/('+&.(0 /+ (0,d& _)+( )+0(*-%&(/( *%& +00(7 `0 *;)$% $+ 5( *%&*+<-/% +$9+*@D-*('+&.+ 9()( b;+ 0%$ (0;'&%$ 9;+/(& *%'9)+&/+) +& 9)%D;&/-/(/ /-E+)$($ )('($ /+ 0($ '(.+'_.-*($ # *%&%*+) .('<-c& $;$ (90-*(*-%&+$ 9)_*.-*($7 L+ +$9+)( b;+ 0%$ (0;'&%$ b;+ +0-^(& +$.+ *;)$% .('<-c& +0-^(& G(.+'_.-*($ iL7

;(#&K G(.+'_.-*($ iL +$ ;& *;)$% -/+(0 9()( (b;+00%$ (0;'&%$ b;+ /+$+(& 5(*+) /+ 0($ '(.+'_.-*($ ;& *%'9%&+&.+ -'9%).(&.+ +& $;$ +$.;/-%$ ;&-E+)$-.()-%$! <-+& *%'% '(.+)-( +& $@ '-$'( % *%'% 9().+ /+ *;)$%$ *%'% D@$-*(! -&,+&-+)@( % .+*&%0%,@(7 i% $+ /+<+ *%&$-/+)() &+*+$()-% b;+ .(0+$ (0;'&%$ )+(0-*+& 0( R'90-(*-3& /+ G(.+'_.-*($ iL7 C%) +0 *%&.)()-%! R'90-(*-3& /+ G(.+'_.-*($ iL +$ ;& *;)$% %9*-%&(0 9()( (0;'&%$ *%& ;&( (9.-.;/ + -&.+)c$ +$9+*-(0+$ +& 0($ '(.+'_.-*($! b;+ 0%$ *(9(*-.()_ 9()( +$. ;/-() (0,;&%$ ($9+*.%$ '_$ ('90-%$ # 9)%D;&/%$ /+ 0($ '-$'($! 9+)% &% +$! +& &-&,d & *($%! ;&( .-.;0(*-3& &+*+$()-( 9()( $+,;-) +$.;/-%$ $;9+)-%)+$ /+ '(.+'_.-*($7

Matemáticas NM: descripción del curso `$.+ *;)$% /-)-,+ $; (.+&*-3& ( 0( -&.)%/;**-3& /+ *%&*+9.%$ '(.+'_.-*%$ -'9%). (&.+$ ( .)(Ec$ /+0 /+$())%00% /+ .c*&-*($ '(.+'_.-*($7 L; 9)%93$-.% +$ -&.)%/;*-) ( 0%$ (0;'&%$ ( +$.%$ *%&*+9.%$ /+ ;& '%/% *%5+)+&.+ # *%'9)+&$-<0+! '_$ b;+ 5(*+) 5-&*(9-c +& +0 )-,%) '(.+'_.-*% )+b;+)-/% +& G(.+'_.-*($ iL7 I%$ (0;'&%$ 5(& /+ (90-*()! +& 0% 9%$-<0+! +0 *%&%*-'-+&.% '(.+'_.-*% b;+ 5(& (/b;-)-/% ( 0( )+$%0;*-3& /+ 9)%<0+'($ 9)_*.-*%$ $-.;(/%$ +& ;& *%&.+M.% (/+*;(/%7 Guía de Matemáticas NM

5


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7

Introducción

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8


Introducción

Objetivos de evaluación

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9

Programa de estudios

Resumen del programa de estudios

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13


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14



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15


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La evaluación en el Programa del Diploma

Información general I( +E(0;(*-3& +$ ;&( 9() .+ D;&/('+&.(0 /+ 0( +&$+:(&2( # +0 (9)+&/-2(^+7 I%$ %<^+.-E%$ '_$ -'9%).(&.+$ /+ 0( +E(0;(*-3& +& +0 C)%,)('( /+0 h-90%'( $%& 0%$ /+ (9%#() 0%$ %<^+.-E%$ /+0 *;))@*;0% # D%'+&.() ;& (9)+&/-2(^+ (/+*;(/% 9%) 9().+ /+ 0%$ (0;'&%$7 `& +0 C)%,)('( /+0 h-90%'(! 0( +E(0;(*-3& +$ .(&.% -&.+)&( *%'% +M.+)&(7 I%$ .)(<(^%$ 9)+9()(/%$ 9()( 0( +E(0;(*-3& +M.+)&( $%& *%))+,-/%$ 9%) +M('-&( /%)+$ /+0 64! '-+&.)($ b;+ 0%$ .)(<(^%$ 9)+$+&.(/%$ 9()( 0( +E(0;(*-3& -&.+)&( $%& *%))+,-/%$ 9%) 0%$ 9)%D+$%)+$ # '%/+)(/%$ +M.+)&('+&.+ 9%) +0 647 `0 64 )+*%&%*+ /%$ .-9%$ /+ +E(0;(*-3&W 

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41

La evaluación en el Programa del Diploma

Criterios de evaluación S;(&/% 0( .()+( /+ +E(0;(*-3& +$ (<-+).( N+$ /+*-)! $+ 90(&.+( /+ .(0 '(&+)( b;+ D%'+&.( ;&( E()-+/(/ /+ )+$9;+$.($O! $+ ;.-0-2(& *) -.+)-%$ /+ +E(0;(*-3&7 S(/( *)-.+)-% $+ *%&*+&.)( +& ; &( 5(<-0-/(/ +$9+*@D-*( b;+ $+ +$9+)( b;+ /+';+$.)+& 0%$ (0;'&%$7 I%$ %<^+.-E%$ /+ +E(0;(*-3& /+$*)-<+& 0% b;+ 0%$ (0;'&%$ /+<+& $+) *(9(*+$ /+ 5(*+) # 0%$ *)-.+)-%$ /+ +E(0;(*-3& /+$*)-<+& b;c &-E+0 /+<+& /+'%$.)() (0 5(*+)0%7 I%$ *)-.+)-%$ /+ +E(0;(*-3& 9+)'-.+& +E(0;() /+0 '-$'% '%/% )+$9;+$.($ ';# /-D+)+&.+$7 S(/( *)-.+)-% +$._ *%'9;+$.% 9%) ;&( $+)-+ /+ /+$*)-9.%)+$ /+ &-E+0 %)/+&(/%$ ^+)_)b;-*('+&.+7 S(/( /+$*)-9.%) /+ &-E+0 +b;-E(0+ ( ;&% % E()-%$ 9;&.%$7 L+ (90-*( *(/( *)-.+)-% /+ +E(0;(*-3& 9%) $+9()(/%! # $+ 0%*(0-2( +0 /+$*)-9.%) b;+ )+D0+^( '_$ (/+*;(/('+&.+ +0 &-E+0 *%&$+,;-/% 9%) +0 (0;'&%7 h-$.-&.%$ *)-.+)-%$ /+ +E(0;(*-3& 9;+/+& .+&+) 9;&.;(*-%&+$ '_M-'($ /-D+)+&.+$ +& D;&*-3& /+ $; -'9%).( &*-(7 I%$ 9;&.%$ %<.+&-/%$ +& *(/( *)-.+)-% $+ $;'(&! /(&/% *%'% )+$;0.(/% 0( 9;&.;(*-3& .%.(0 9()( +0 .)(<(^% +& *;+$.-3&7

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42


Evaluación

Resumen de la evaluación

0%'2$%(: $D92$"$:K LHGI

Componente de evaluación

Porcentaje de la evaluación

Evaluación externa (3 horas)

80%

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40%

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I( $+**-3& *%&$.( /+ 9)+,;&.($ %<0-,(.%)-($ /+ )+$9;+$.( *%).( +& )+0(*-3& *%& .%/% +0 9)%,)('( /+ +$.;/-%$7 Sección B

I( $+**-3& *%&$.( /+ 9)+,;&.($ %<0-,(.%)-($ /+ )+$9;+$.( 0(),( +& )+0(*-3& *%& .%/% +0 9)%,)('( /+ +$.;/-%$7 Prueba 2 (1 hora 30 minutos) L+ )+b;-+)+ +0 ;$% /+ *(0*;0(/%)($ /+ 9(&.(00( ,)_D-*(7 NZ> 9;&.%$O

40%

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I( $+**-3& *%&$.( /+ 9)+,;&.($ %<0-,(.%)-($ /+ )+$9;+$.( *%).( +& )+0(*-3& *%& .%/% +0 9)%,)('( /+ +$.;/-%$7 Sección B

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Evaluación interna

20%

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43

Evaluación

Evaluación externa

Información general I%$ +$b;+'($ /+ *(0-D-*(*-3& $+ ;.-0-2(& 9()( +E(0;() ( 0%$ (0;'&%$ +& ('<($ 9);+<($ # $%& +$9+*@D -*%$ 9()( *(/( 9);+<( /+ +M('+&7

Descripción detallada de la evaluación externa Prueba 1 y prueba 2 `$.($ 9);+<($ 0($ +$.(<0+*+ # +E(0d( +0 647 `& .%.(0! )+9)+$+&.(& +0 H>s /+ 0( &%.( D-&(0 /+0 *;)$%7 `$._& /-$+:(/($ 9()( b;+ 0%$ (0;'&%$ 9;+/(& /+'%$.)() 0% b;+ $(<+& # $%& *(9(*+$ /+ 5(*+)7

Calculadoras Prueba 1 i% $+ 9+)'-.+ ( 0%$ (0;'&%$ /-$9%&+) /+ &-&,;&( *(0*;0(/%)(7 `& 0($ 9)+,;&.($ $+ 0+$ 9+/-)_ 9)-&*-9(0'+&.+ b;+ (/%9.+& ;& +&D%b;+ (&([email protected]*% 9()( 00+,() ( 0($ $%0;*-%&+$! +& 0;,() /+ b;+ ;$+& *(0*;0(/%)($ /+ 9(&.(00( ,)_D-*(7 I( 9);+<( &% )+b;+)-)_ *_0*;0%$ *%'90-*(/%$ b;+ 9;+/(& 00+E() ( *%'+.+) +))%)+$ 9%) /+$*;-/%7 i% %<$.(&.+! 0($ 9)+,;&.($ -'90-*()_& )+(0-2() %9+)(*-%&+$ ()-.'c.-*($ *;(&/% +$.($ $+(& +$+&*-(0+$ 9()( $; /+$())%00%7 Prueba 2 I%$ (0;'&%$ /+<+& /-$9%&+) /+ ;&( *(0*;0(/%)( /+ 9(&.(00( ,)_D -*( +& .%/% '%'+&.%7 i% %<$.(&.+! &% .%/($ 0($ 9)+,;&.($ )+b;+)-)_& &+*+$()-('+&.+ +0 ;$% /+ *(0*;0(/%)($ /+ 9(&.(00( ,)_D-*(7 `& +0 ;7)?7* .% #$'< %.," ,%)0 '& .%* @$'> $7"7 .%* A,#*'"7 $+ 9)%9%)*-%&( -&D%)'(*-3& $%<)+ 0%$ .-9%$ /+ *(0*;0(/%)($ /+ 9(&.(00( ,)_D-*( 9+)'-.-/%$7

Cuadernillo de fórmulas de Matemáticas NM `$ &+*+$()-% b;+ *(/( (0;'&% /-$9%&,( /+ ;& +^+'90() $-& (&%.(*-%&+$ /+0 *;(/+)&-00% /+ D3)';0($ /;)(&.+ +0 +M('+&7 `0 *%0+,-% $+)_ +0 +&*(),(/% /+ /+$*(),()0% /+$/+ 646L % +0 SCÌ! # ($+,;)( )$+ /+ *%&.() *%& ; & &d'+)% $;D-*-+&.+ /+ *%9-($ /-$9%&-<0+$ 9()( .%/%$ 0%$ (0;'&%$7

Asignación de notas L+ ($-,&(& 9;&.%$ 9%) 'c.%/%! 9)+*-$-3&! )+$9;+$.($ *%))+*.($ # )(2%&('-+&.%! 0% *;(0 -&*0;#+ -&.+)9)+.(*-3&7 `& 0($ 9);+<($ ? # =! 0($ )+$9;+$.($ *%))+*.($ b;+ &% 9)+$+&.(& 9%) +$*)-.% +0 9)%*+/-'-+&.% )+(0-2(/% &% $-+'9)+ )+*-<+& 0( 9;&.;(*-3& '_M-'(7 I($ )+$9;+$.($ $+ /+<+& ^;$.-D-*() '+/-(&.+ +0 9)%*+/-'-+&.% $+,;-/% % 0($ +M90-*(*-%&+$ *%))+$9%&/-+&.+$ N9%) +^+'90%! +& D%)'( /+ /-(,)('($! ,)_D-*%$ % *_0*;0%$O7 R;& *;(&/% ;&( )+$9;+$.( $+( -&*%))+*.(! $+ 9;+/+& %.%),() (0,;&%$ 9;&.%$ $-+'9)+ b;+ (9()+2*( +0 'c.%/% +'90+(/% # +$.+ $+( *%))+*.%7 C%) 0% .(&.%! $+ /+<+ )+*%'+&/() ( 0%$ (0;'&%$ b;+ ';+$.)+& .%/%$ 0%$ 9)%*+/-'-+&.%$ ;.-0-2(/%$7

44


Evaluación externa

Prueba 1 4-%&,'F"K G /(%& RH 2'"-#(: 0(%,$"#&X$ 3$) #(#&) 3$ )& $E&)-&,'F"K IHZ `$.( 9);+<( *%&$.( /+ ;&( $+**-3& R *%& 9)+,;&.($ /+ )+$9;+$.( *%).( # ;&( $+**-3& 4 *%& 9)+,;&.($ /+ )+$9;+$.( 0(),(7 

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i% $+ 9+)'-.+ ( 0%$ (0;'&%$ /-$9%&+) /+ &-&,;&( *(0*;0(/%)( +& +$.( 9);+<(7

Parte del programa de estudios que cubre la prueba C()( +$.( 9);+<( $+ )+b;-+)+ +0 *%&%*-'-+&.% /+ #(3&: 0($ ;&-/(/+$7 L-& +'<(),%! +$.% &% $-,&-D-*( b;+ .%/($ 0($ ;&-/(/+$ $+ E(#(& ( +E(0;() +& *(/( *%&E%*(.%)-( /+ +M('+&7 

Puntuación `$.( 9);+<( $+ *(0-D-*( *%& ;& '_M-'% /+ [H 9;&.%$ # )+9)+$+&.( +0 IHZ /+ 0( &%.( D-&(07 

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I($ 9)+,;&.($ /+ +$.( 9);+<( E()@(& +& *;(&.% ( $; +M.+&$-3& # &-E+0 /+ /-D-*;0.(/7 R$@ 9;+$! *(/( ;&( /+ +00($ &% &+*+$()-('+&.+ $+ *(0-D-*( *%& 0( '-$'( 9;&.;(*-3&7 I( 9;&.;(*-3& '_M-'( /+ *(/ ( 9)+,;&.( $+ -&/-*( (0 9)-&*-9-% /+ 0( '-$'(7

Sección A `$.( $+**-3& *%&$.( /+ 9)+,;&.($ %<0-,(.%)-($ /+ )+$9;+$.( *%).( +& )+0(*-3& *%& .%/% +0 9)%,)('( /+ +$.;/-%$7 L+ ($-,&(& (9)%M-'(/('+&.+ YA 9;&.%$7 I( D-&(0-/(/ /+ +$.( $+**-3& +$ *%'9)%<() 0( ('90-.;/ /+ 0%$ *%&%*-'-+&.%$ # *%'9)+&$-3& /+ 0%$ (0;'&%$ $%<)+ 0($ ;&-/(/+$ /+0 9)%,)('( /+ +$.;/-%$7 i% %<$.(&.+! &% $+ /+<+ $;9%&+) b;+ $+ E(#( ( /() 0( ' -$'( -'9%).(&*-( ( .%/($ 0($ ;&-/(/+$7 Tipo de preguntas 

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C()( )+$%0E+) *(/( 9)+,;&.( $+)_ &+*+$()-% ;& 9+b;+:% &d'+)% /+ 9($%$7 I($ 9)+,;&.($ 9;+/+& D%)';0()$+ '+/-(&.+ 9(0(<)($! $@'<%0%$! .(<0($! /-(,)('($ % ;&( *%'<-&(*-3& /+ +$.%$7

Sección B `$.( $+**-3& *%&$.( /+ ;& 9+b;+:% &d'+)% /+ 9)+,;&.($ %<0-,(.%)-($ /+ )+$9;+$.( 0(),( +& )+0(*-3& *%& .%/% +0 9)%,)('( /+ +$.;/-%$7 L+ ($-,&(& (9)%M-'(/('+&.+ YA 9;&.%$7 P&( '-$'( 9)+,;&.( 9;+/+ -'90-*() *%&%*-'-+&.%$ /+ '_$ /+ ;&( ;&-/(/7 I( D-&(0-/(/ /+ +$.( $+**-3& +$ *%'9)%<() 0( 9)%D;&/-/(/ /+ 0%$ *%&%*-'-+&.%$ # 0( *%'9)+&$-3& /+ 0%$ (0;'&%$ $%<)+ 0($ ;&-/(/+$ /+0 9)%,)('( /+ +$.;/-%$7 `$.( $+**-3& 9;+/+ (<()*() '+&%$ ; &-/(/+$ /+0 9)%,)('( /+ +$.;/-%$ b;+ 0( $+**-3& R7 Tipo de preguntas 

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I($ 9)+,;&.($ )+b;-+)+& )+$9;+$.($ 0(),($ b;+ -'90-*(& )(2%&('-+&.%$ $30-/%$7 S(/( 9)+,;&.( /+$())%00( ;& d&-*% .+'(7 I($ 9)+,;&.($ 9;+/+& D%)';0()$+ '+/-(&.+ 9(0(<)($! $@'<%0%$! .(<0($! /-(,)('($ % ;&( *%'<-&(*-3& /+ +$.%$7 `& ,+&+)(0! *(/( 9)+,;&.( 9)+$+&.( ;&( +$*(0( /+ /-D-*;0.(/ b;+ E( /+ *;+$.-%&+$ )+0(.-E('+&.+ D_*-0+$ (0 9)-&*-9-%! ( %.)($ )+0(.-E('+&.+ /-D@*-0+$ (0 D-&(07 L+ 9%&+ +$9+*-(0 c&D($-$ +& 0( )+$%0;*-3& /+ 9)%<0+'($7


45

Evaluación externa

Prueba 2 4-%&,'F"K G /(%& RH 2'"-#(: 0(%,$"#&X$ 3$) #(#&) 3$ )& $E&)-&,'F"K IHZ `$.( 9);+<( *%&$.( /+ ;&( $+**-3& R *%& 9)+,;&.($ /+ )+$9;+$.( *%).( # ;&( $+**-3& 4 *%& 9)+,;&.($ /+ )+$9;+$.( 0(),(7 C()( +$.( 9);+<( $+ &+*+$-.( ;&( *(0*;0(/%)( /+ 9(&.(00( ,)_D-*(! 9+)% &% .%/($ 0($ 9)+,;&.($ )+b;+)-)_& &+*+$()-('+&.+ $; ;$%7 Parte del programa de estudios que cubre la prueba C()( +$.( 9);+<( $+ )+b;-+)+ +0 *%&%*-'-+&.% /+ #(3&: 0($ ;&-/(/+$7 L-& +'<(),%! +$.% &% $-,&-D-*( b;+ .%/($ 0($ ;&-/(/+$ $+ E(#(& ( +E(0;() +& *(/( *%&E%*(.%)-( /+ +M('+&7 

Puntuación `$.( 9);+<( $+ *(0-D-*( *%& ;& '_M-'% /+ [H 9;&.%$ # )+9)+$+&.( +0 IHZ /+ 0( &%.( D-&(07 

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I($ 9)+,;&.($ /+ +$.( 9);+<( 9) ;+<( E()@(& +& *;(&.% ( $; +M.+&$-3 +M.+&$-3&& # &-E+0 /+ /-D-*;0.(/7 R$@ 9;+$! *(/( ;&( /+ +00($ &% &+*+$()-('+&.+ $+ *(0-D-*( *%& 0( '-$'( 9;&.;(*-3&7 I( 9;&.;(*-3& '_M-'( /+ *(/ ( 9)+,;&.( $+ -&/-*( (0 9)-&*-9-% /+ 0( '-$'(7

Sección A `$.( $+**-3& *%&$.( /+ 9)+,;&.($ %<0-,( %<0-,(.%)-($ .%)-($ /+ )+$9;+$.( *%).( *%). ( +& )+0(*-3& *%& .%/% +0 9)%,)('( /+ +$.;/-%$7 L+ ($-,&(& (9)%M-'(/('+&.+ YA 9;&.%$7 I( D-&(0-/(/ /+ +$.( $+**-3& +$ *%'9)%<() 0( ('90-.;/ /+ 0%$ *%&%*-'-+&.%$ # *%'9)+&$-3& /+ 0%$ (0;'&%$ $%<)+ 0($ ;&-/(/+$ /+0 9)%,)('( /+ +$.;/-%$7 i% %<$.(&.+! &% $+ /+<+ $;9%&+) b;+ $+ E(#( ( /() 0( ' -$'( -'9%).(&*-( ( .%/($ 0($ ;&-/(/+$7 Tipo de preguntas 

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C()( )+$%0E+) )+$%0E+) *(/( 9)+,;&.( $+)_ &+*+$()-% ;& 9+b;+:% &d'+)% /+ 9($%$7 I($ 9)+,;&.($ 9;+/+& D%)';0()$+ '+/-(&.+ 9(0(<)($! $@'<%0%$! .(<0($! /-(,)('($ % ;&( *%'<-&(*-3& /+ +$.%$7

Sección B `$.( $+**-3& *%&$.( /+ ;& 9+b;+:% &d'+)% /+ 9)+,;&.($ %<0-,(.%)-($ /+ )+$9;+$.( 0(),( +& )+0(*-3& *%& .%/% +0 9)%,)('( /+ +$.;/-%$7 L+ ($-,&(& (9)%M-'(/('+&.+ YA 9;&.%$7 P&( '-$'( 9)+,;&.( 9;+/+ -'90-*() *%&%*-'-+&.%$$ /+ '_$ /+ ;&( ;&-/(/7 *%&%*-'-+&.% I( D-&(0-/(/ /+ +$.( $+**-3& +$ *%'9)%<() 0( 9)%D;&/-/(/ /+ 0%$ *%&%*-'-+&.%$ # 0( *%'9)+&$-3& /+ 0%$ (0;'&%$ $%<)+ 0($ ;&-/(/+$ /+0 9)%,)('( /+ +$.;/-%$7 `$.( $+**-3& 9;+/+ (<()*() '+&%$ ; &-/(/+$ /+0 9)%,)('( /+ +$.;/-%$ b;+ 0( $+**-3& R7 Tipo de preguntas 

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46

I($ 9)+,;&.($ )+b;-+)+& )+$9;+$.($ 0(),($ b;+ -'90-*(& )(2%&('-+&.%$ $30-/%$7 S(/( 9)+,;&.( /+$())%00( ;& d&-*% .+'(7 I($ 9)+,;&.($ 9;+/+& D%)';0()$+ '+/-(&.+ 9(0(<)($! $@'<%0%$! .(<0($! /-(,)('($ % ;&( *%'<-&(*-3& /+ +$.%$7 `& ,+&+)(0! *(/( 9)+,;&.( 9)+$+&.( ;&( +$*(0( /+ /-D-*;0.(/ b;+ E( /+ *;+$.-%&+$ )+0(.-E('+&.+ D_*-0+$ (0 9)-&*-9-%! ( %.)($ %.) ($ )+0(.-E('+&.+ )+0(.-E('+&. + /-D@*-0+$ /-D@*-0+ $ (0 D-&(07 D-& (07 L+ 9%&+ +$9+*-(0 +$9+*-( 0 c&D($-$ +& 0( )+$%0;*-3& )+ $%0;*-3& /+ 9)%<0+'($7


Evaluación

Evaluación interna

Propósito de la evaluación interna I( +E(0;(*-3& -&.+)&( +$ ;&( 9().+ 9() .+ D;&/('+&.(0 /+0 *;)$% *;) $% # +$ %<0-,(.%)-( 9()( .%/%$ 0%$ (0;'&%$7 I+$ 9+) '-.+ ( 0%$ (0;'&%$ /+'%$.)() 0( (90-*(*-3& /+ $;$ 5(<-0-/(/+$ # *%&%*-'-+&.%$ # /+/-*()$+ ( (b;+00($ _)+($ b;+ /+$9-+).+& $; -&.+)c$ $-& 0($ )+$.) -**-%& -**-%&+$ +$ /+ .-+'9% # /+ %.)%$ .-9%$ ($%*-(/($ ( 0%$ +M_'+&+$ +$*)-.%$7 I( +M90%)(*-3& /+<+! +& 0( '+/-/( /+ 0% 9%$-<0+! -&.+,)()$+ +& 0( +&$+:(&2( &%)'(0 +& *0($+! # &% $+) ;&( (*.-E-/(/ (9().+ b;+ .-+&+ 0;,() ;&( E+2 b;+ $+ 5(& -'9().-/% .%/%$ 0%$ *%&.+&-/%$ /+0 *;)$%7 I( +E(0;(*-3& -&.+)&( +& G(.+'_.-*($ iG +$ ;&( +M90%)(*-3& -&/-E-/;(07 -&/-E-/;(07 S%&$-$.+ +& ;& ; & .)(<(^% +$*)-.% <($(/% +& 0( -&E+$.-,(*-3& /+ ;& _)+( /+ 0($ '(.+'_.-*($! # $+ *%))-,+ /+ (*;+)/% *%& *-&*% *)-.+)-%$ /+ +E(0;(*-3&7

Orientación y autor autoría ía original I( +M90%)(*-3& 9)+$+&.(/( 9()( 0( +E(0;(*-3& -&.+)&( /+<+ $+) .)(<(^% %)-,-&(0 /+0 (0;'&%7 L-& +'<(),%! &% $+ 9)+.+&/+ b;+ 0%$ (0;'&%$ /+*-/(& +0 .@.; 0% % +0 .+'( /+ $; +M90%)(*-3& # b;+ $+ 0+$ /+^+ .)(<(^() $-& &-&,d& .-9% /+ (9%#% 9%) 9().+ /+0 9)%D+$%)7 `0 9)%D+$%) /+<+ /+$+'9+:() ;& 9(9+0 -'9%).(&.+ +& 0($ +.(9($ /+ 90(&-D-*(*-3& # /+$())%00% /+ 0( +M90%)(*-3&7 `$ )+$9%&$(<-0-/(/ /+0 9)%D+$%) ($+,;)()$+ /+ b;+ 0%$ (0;'&%$ +$.c& D('-0-()-2(/%$ *%&W 

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I%$ )+b;-$-.%$ /+0 .-9% /+ .)(<(^% b;+ $+ E( ( +E(0;() -&.+)&('+&.+ I( 9%[email protected]*( /+ 9)%<-/(/ (*(/c'-*( /+0 64! /-$9%&-<0+ +& +0 SCÌ I%$ *)-.+)-%$ /+ +E(0;(*-3& N0%$ (0;'&%$ /+<+& +&.+&/+) b;+ +0 .)(<(^% b;+ 9)+$+&.+& 9()( +E(0;(*-3& /+<+ (<%)/() +D-*(2'+&.+ +$.%$ *)-.+)-%$O

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b;+ .%/%$ 0%$ (0;' &%$ +&.-+&/(& +0 $-,&-D-*(/% # 0( -'9%).(&*-( /+ 0%$ *%&*+9.%$ )+0(*-%&(/%$ *%& 0( 9)%<-/(/ (*(/c'-*(! +$9+*-(0'+&.+ 0%$ /+ (;.%)@( %)-,-&(0 # 9)%9-+/(/ -&.+0+*.;(07 I%$ 9)%D+$%)+$ /+<+& E+)-D-*() b;+ .%/%$ 0%$ .)(<(^%$ b;+ 0%$ (0;'&%$ +&.)+,;+& 9()( +E(0;(*-3& 5(#(& $-/% 9)+9()(/%$ *%&D%)'+ ( 0%$ )+b;-$-.%$! # /+<+& +M90-*() *0()('+&.+ ( 0%$ (0;'&%$ b;+ 0( +M90%)(*-3& /+<+ $+) %)-,-&(0 +& $; .%.(0-/(/7 S%'% 9().+ /+0 9)%*+$% /+ (9)+&/-2(^+! 0%$ 9)%D+$%)+$ 9;+/+& (*%&$+^() ( 0%$ (0;'&%$ $%<)+ +0 5%'2$% >(%%&3(% /+ 0( +M90%)(*-3&7 `0 9)%D+$%) 9)%D+$%) 9%/)_ $;,+)-) $;,+) -) '(&+)($ /+ '+^%)()0%! 9+)% $-& 00+,() 0 0+,() ( *%))+,-)0% % +/-.()0% +/-.( )0% +M*+$-E('+&.+7 I( 9)3M-'( E+)$-3& b;+ $+ +&.)+,;+ (0 9)%D+$%) /+$9;c$ /+0 9)-'+) <%))(/%) $+)_ *%&$-/+)(/( 0( E+)$-3& D-&(07 I%$ 9)%D+$%)+$ /+<+& E+)-D-*() 0( (;.%)@( %)-,-&(0 /+ .%/% .)(<(^% b;+ $+ +&E@+ (0 64 9()( $; '%/+)(*-3& % +E(0;(*-3&! # &% /+<+& +&E-() &-&,d& .)(<(^% b;+ *%&$.-.;#( N% $%$9+*5+& b;+ *%&$.-.;#(O ;& *($% /+ *%&/;*.( -'9)%*+/+&.+7 S(/( (0;'&% /+<+ D-)'() ;&( 9%).(/( /+ 0( +E(0;(*-3& -&.+)&( 9()( *%&D-)'() b;+ +0 .)(<(^% b;+ 9)+$+&.( 9()( 0( +E(0;(*-3& +$ %)-,-&(0 # b;+ +$ 0( E+)$-3& D-&(0 /+0 '-$'%7 P&( E+2 b;+ +0 (0;'&% 5(#( +&.)+,(/% %D-*-(0'+&.+ %D-*-(0'+&.+ 0( E+)$-3& D-&(0 /+ $; .)(<(^% . )(<(^% ^;&.% *%& 0( 9%).(/( D-)'(/ D-)'(/(( (0 9)%D+$%) N% (0 *%%)/-&(/%)O *%%)/-&(/%)O 9()( 0( +E(0;(*-3& +E(0;( *-3& -&.+)&(! -&.+) &(! &% 9%/)_ 9%/ )_ 9+/-) 9+/- ) b;+ $+ 0( /+E;+0E(& 9()( 9( )( '%/-D-*()0(7 '%/-D -*()0(7 Guía de Matemáticas NM

47

Evaluación interna

I( (;.%)@( /+ 0%$ .)(<(^%$ $+ 9;+/+ *%'9)%<() /+<(.-+&/% $; *%&.+&-/% *%& +0 (0;'&% # (&(0-2(&/% *%& /+.(00+ ;&% % '_$ /+ 0%$ ($9+*.%$ $-,;-+&.+$W 

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48


Evaluación interna

I%$ 9)%D+$%)+$ /+<+& E(0%)() 0%$ .)(<(^%$ /+ +E(0;(*-3& -&.+)&( *%& )+0(*-3& ( 0%$ *)-.+)-%$! ;.-0- 2(&/% 0%$ /+$*)-9.%)+$ /+ &-E+07 

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Descripción detallada de la evaluación interna Exploración matemática 4-%&,'F"K GH /(%&: )$,#'E&: 0(%,$"#&X$ 3$) #(#&) 3$ )& $E&)-&,'F"K LHZ Introducción `0 *%'9%&+&.+ /+ 0( +E(0;(*-3& -&.+)&( +& +$.+ *;)$% +$ ;&( +M90%)(*-3& '(.+'_.-*(7 S%&$-$.+ +& ;& <)+E+ -&D%)'+ +$*)-.% 9%) +0 (0;'&%! <($(/% +& ;& .+'( +0+,-/% 9%) +$.+! # b;+ /+<+ *+&.)()$+ +& 0($ '(.+'_.-*($ /+ +$( _)+( /+.+)'-&(/(7 L+ 5(*+ 5-&*(9-c +& 0( *%';&-*(*-3& '(.+'_.-*( N-&*0;-/%$ /-(,)('($! D3)';0($! ,)_D-*%$! +.*7O (*%'9(:(/( /+ *%'+&.()-%$! ;&( <;+&( )+/(**-3& '(.+'_.-*( # )+D0+M-%&+$ $+)-($7 `0 (0;'&% /+<+ /+$())%00() $; 9)%9-% +&D%b;+! # +0 9)%D+$%) /+<+ 9)%9%)*-%&() *%'+&.()-%$ $%<)+ +0 .)(<(^% ( .)(Ec$ /+! 9%) +^+'90%! /+<(.+$ # +&.)+E-$.($7 h+ +$.+ '%/%! 0%$ (0;' &%$ 9;+/+& /+$())%00() ;& _)+( /+ $; -&.+)c$ $-& 0($ 0-'-.(*-%&+$ /+ .-+'9% /+ 0%$ +M_'+&+$! # +M9+)-'+&.() ;&( $+&$(*-3& /+ cM-.%7 `0 -&D%)'+ D-&(0 /+<+ .+&+) ;&( +M.+&$-3& (9)%M-'(/( /+ +&.)+ f # ?= 9_,-&($7 C;+/+ +$.() +$*)-.% ( '(&% % *%& 9)%*+$(/%) /+ .+M.%$7 I%$ (0;'&%$ 5(& /+ $+) *(9(*+$ /+ +M90-*() .%/($ 0($ +.(9($ /+ $; .)(<(^% /+ '(&+)( b;+ /+';+$.)+& ;&( *%'9)+&$-3& *0()(7 R;&b;+ &% $+ 9)+.+&/+ b;+ 0%$ (0;'&%$ 5(,(& ;&( 9)+$+&.(*-3& /+ $; .)(<(^% +& *0($+! +$.+ 5( /+ +$.() +$*)-.% /+ '%/% b;+ $;$ *%'9(:+)%$ 9;+/(& $+,;-)0% *%& )+0(.-E( D(*-0-/(/7 `0 -&D%)'+ /+<+ -&*0;-) ;&( <-<0-%,)(D@( /+.(00(/(! # +$ &+*+$()-% b;+ $+ -&*0;#(& )+D+)+&*-($ ( 0($ D;+&.+$ $+,d& 0( 9%[email protected]*( /+ 9)%<-/(/ (*(/c'-*( /+0 647 I($ *-.($ .+M.;(0+$ /+<+& '+&*-%&() 0( D;+&.+7 Propósito de la exploración I%$ %<^+.-E%$ ,+&+)(0+$ /+ G(.+'_.-*($ iG $+ 0%,)(& ( .)(Ec$ /+ 0%$ %<^+.-E%$ /+ +E(0;(*-3& b;+ $+ +E(0d(& D%)'(0'+&.+ *%'% 9().+ /+0 *;)$%! $+( +& 0%$ +M_'+&+$ +$*)-.%$! +& 0( +M90%)(*-3&! % +& ('<%$7 L+ 9)+.+&/+ b;+ 0( +M90%)(*-3&! (/+'_$ /+ +E(0;() 0%$ %<^+.-E%$ /+ +E(0;(*-3& /+0 *;)$%! 9)%9%)*-%&+ ( 0%$ (0;'&%$ %9%).;&-/(/+$ 9()( (;'+&.() $; *%'9)+&$-3& /+ 0%$ *%&*+9.%$ # 9)%*+$%$ '(.+'_.-*%$! # 9()( /+$() )%00() ;&( &%*-3& '_$ ('90-( /+ 0($ '(.+'_.-*($7 `$.% $+ )+*%,+ +& 0%$ %<^+.-E%$ ,+&+)(0+$ /+0 *;)$%! +& *%&*)+.% 0%$


49

Evaluación interna

%<^+.-E%$ b;+ E(& /+0 S (0 [ \&5)',&,'("$:U #$,"()(17&U '25)',&,'("$: 2(%&)$:U :(,'&)$: N .#',&:U N 3'2$":'F" '"#$%"&,'("&)]7 L+ +$9+)( b;+! )+(0-2(&/% 0( +M90%)(*-3&! 0%$ (0;'&%$ $(b;+& 9)%E+*5% /+ 0($ (*.-E-/(/+$ '(.+'_.-*($ -'90-*(/($! # b;+ +$.($ 0+$ )+$;0.+& '%.-E(/%)($ # ,)(.-D -*(&.+$7 `00% 9+)'-.-)_ +0 /+$())%00% /+ 0%$ (.)-<;.%$ /+0 9+)D-0 /+ 0( *%';&-/(/ /+ (9)+&/-2(^+ /+0 64 9%) 9().+ /+ 0%$ (0;'&%$7 S%& 0( +M90%)(*-3& $+ 9)+.+&/+W 

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t;+ 0%$ (0;'&%$ /+$())%00+& ;&( 9+)$9+*.-E( 9)%9-( (*+)*( /+ 0( &(.;)(0+2( /+ 0($ '(.+'_.-*($! ($@ *%'% 0( *(9(*-/(/ 9()( 90(&.+()$+ $;$ 9)%9-($ 9)+,;&.($ $%<)+ 0( /-$*-90-&( C)%9%)*-%&() ( 0%$ (0;'&%$ %9%).;&-/(/+$ 9()( )+(0-2() ;& .)(<(^% '(.+'_.-*% /;)(&.+ ;& 9+)@%/% 9)%0%&,(/% /+ .-+'9% t;+ 0%$ (0;'&%$ 9;+/(& +M9+)-'+&.() 0( $(. -$D(**-3& /+ (90-*() 9)%*+$%$ '(.+'_.-*%$ /+ D%)'( -&/+9+&/-+&.+ C)%9%)*-%&() ( 0%$ (0;'&%$ %9%).;&-/(/+$ /+ +M9+)- '+&.() 0( <+00+2(! 0($ 9%$-<-0-/(/+$ # 0( ;.-0-/(/ /+ 0($ '(.+'_.-*($ G%.-E() ( 0%$ (0;'&%$! *;(&/% 9)%*+/(! ( /+$*;<)-)! ;.-0-2() # (9)+*-() +0 9%/+) /+ 0( .+*&%0%,@( *%'% 5+))('-+&.( '(.+'_.-*( t;+ 0%$ (0;'&%$ $+(& *(9(*+$ /+ /+$())%00() *;(0-/(/+$ .(0+$ *%'% 0( 9(*-+&*-( # 0( 9+)$+E+)(&*-(! ($@ *%'% /+ )+D0+M-%&() $%<)+ +0 $-,&-D-*(/% /+ 0%$ )+$;0.(/%$ b;+ %<.-+&+& C)%9%)*-%&() ( 0%$ (0;'&%$ %9%).;&-/(/+$ 9()( +M9%&+) *%& *%&D-(&2( +0 (0*(&*+ /+ $; +E%0;*-3& +& '(.+'_.-*($

Organización y desarrollo de la exploración `0 .)(<(^% )+0(*-%&(/% *%& 0( +M90%)(*-3& /+<+ )+(0-2()$+ *%'% 9() .+ /+0 *;)$%! /+ '%/% b;+ 0%$ (0;' &%$ .+&,(& 0( %9%).;&-/(/ /+ (/b;-)-) 0($ /+$.)+2($ &+*+$()-($7 I($ 5%)($ 0+*.-E($ /+/-*(/($ ( 0( +M90%)(*-3& 9;+/+&! 9%) .(&.%! ;.-0-2()$+ 9()( )+(0-2() /-$*;$-%&+$ ,+&+)(0+$ $%<)+ .+'($ /+ +$.;/-%! ($@ *%'% 9()( b;+ 0%$ (0;'&%$ $+ D('-0-()-*+& *%& 0%$ *)-.+)-%$7 `& +0 '(.+)-(0 /+ (#;/( (0 9)%D+$%) $+ -&*0;#+ '_$ -&D%)'(*-3& $%<)+ +0 /+$())%00% /+ 0( +M90%)(*-3&7

Requisitos y recomendaciones I%$ (0;'&%$ 9;+/+& +0+,-) +&.)+ ;&( ('90-( E()-+/(/ /+ (*.-E-/(/+$! 9%) +^+'90%! ;.-0-2(*-3& /+ '%/+0%$! -&E+$.-,(*-%&+$ # (90-*(*-%&+$ /+ 0($ '(.+'_.-*($7 C()( (#;/() ( 9)%D+$%)+$ # (0;'&%$ +& 0( +0+**-3& /+0 .+'(! +& +0 '(.+)-(0 /+ (#;/( (0 9)%D+$%) 5(# /-$9%&-<0+ ;&( 0-$.( /+ $;,+)+&*-($7 L-& +'<(),%! 0%$ (0;'&%$ &% +$._& 0-'-.(/%$ ( +0+,-) ;&( %9*-3& /+ +$.( 0-$.(7 `& ,+&+)(0! 0( +M90%)(*-3& &% /+<+ +M*+/+) 0($ ?= 9_,-&($! -&*0;-/%$ 0%$ /-(,)('($ # 0%$ ,)_D-*%$! 9+)% $-& *%&.() 0( <-<0-%,)(D@(7 i% %<$.(&.+! 0% -'9%).(&.+ +$ 0( *(0-/(/ /+0 .)(<(^% '(.+'_.-*%! # &% 0( +M.+&$-3&7 `0 9)%D+$%) 5( /+ %D)+*+) ;&( %)-+&.(*-3& (/+*;(/( +& *(/( ;&( /+ 0($ +.(9($ /+ 0( +M90%)(*-3& *%'%! 9%) +^+'90%! /-)-,-) ( 0%$ (0;'&%$ 5(*-( 0@&+($ /+ -&E+$.-,(*-3& '_$ D);*.@D+)($! 5(*+) $;,+)+&*-($ $%<)+ D;+&.+$ /+ -&D%)'(*-3& (9)%9-(/($! # /() *%&$+^%$ $%<)+ +0 *%&.+&-/% # 0( *0()-/(/ /+ 0( +M90%)(*-3& +& $; D($+ /+ )+/(**-3&7 I%$ 9)%D+$%)+$ /+<+& (/E+).-) ( 0%$ (0;'&%$ $%<)+ 0( +M-$.+&*-( /+ +))%)+$! 9+)% $-& *%))+,-)0%$ /+ '(&+)( +M90@*-.(7 `$ &+*+$()-% -&$-$.-) +& b;+ 0%$ (0;'&%$ /+<+& ($+$%)()$+ *%& +0 9)%D+$%) ( 0% 0(),% /+ .%/% +0 9)%*+$%7 V%/%$ 0%$ (0;'&%$ 5(& /+ +$.() D('-0-()-2(/%$ *%& 0%$ )+b;-$-.%$ # *%& 0%$ *)-.+)-%$ /+ +E(0;(*-3& /+ 0( +M90%)(*-3&7 I%$ (0;'&%$ 5(& /+ *%'+&2() ( 90(&-D-*() $;$ +M90%)(*-%&+$ 0% '_$ 9)%&.% 9%$-<0+ ;&( E+2 *%'+&2(/% +0 *;)$%7 I%$ 90(2%$ /+ +&.)+,( $+ /+<+& +$.(<0+*+) /+ '%/% +$.)-*.%7 h+<+ D-^()$+ ;&( D+*5( 9()( 0( +&.)+,( /+0 .+'( /+ 0( +M90%)(*-3& # ;&( <)+E+ /+$*)-9*-3& /+ 0( '-$'(! %. )( 9()( 0( +&.)+,( /+0 9)-'+) <%))(/%) #! 9%) $;9;+$.%! 0( D+*5( 9()( 0( D-&(0-2(*-3& /+ 0( +M90%)(*-3&7

50


Evaluación interna

C()( /+$())%00() 0($ +M90%)(*-%&+$! 0%$ (0;'&%$ /+<+& .)(.() /+ 5(*+) ;$% /+ 0%$ *%&%*-'-+&.%$ '(.+'_.-*%$ (/b;-)-/%$ /;)(&.+ +0 *;)$%7 `0 &-E+0 /+ *%'90+^-/(/ /+<+ $+) (*%)/+ *%& +0 /+0 *;)$%! +$ /+*-)! /+<+ $+) $-'-0() (0 +$.(<0+*-/% +& +0 9)%,)('( /+0 *;)$%7 i% $+ +$9+)( b;+ 0%$ (0;'&%$ +0(<%)+& ;& . )(<(^% $%<)+ .+'($ &% -&*0;-/%$ +& +0 9)%,)('( /+ +$.;/-%$ /+ G(.+'_.-*($ iG N&% %<$.(&.+! +00% &% $+)_ %<^+.% /+ $(&*-3&O7

Criterios de evaluación interna I( +M90%)(*-3& +$ +E(0;(/( -&.+)&('+&.+ 9%) +0 9)%D+$%) # '%/+)(/( +M.+)&('+&.+ 9%) +0 64 ;.-0-2(&/% *)-.+)-%$ /+ +E(0;(*-3& b;+ $+ )+D-+)+& ( 0%$ %<^+.-E%$ /+ +E(0;(*-3& /+ G(.+'_.-*($ iG7 S(/( +M90%)(*-3& $+ +E(0d( $+,d& 0%$ *-&*% *)-.+)-%$ $-,;-+&.+$7 I( &%.( D-&(0 /+ *(/( +M90%)(*-3& +$ 0( $;'( /+ 0%$ 9;&.%$ %<.+&-/%$ +& *(/( *)-.+)-%7 I( &%.( D -&(0 '_M-'( +$ =>7

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Criterio A: Comunicación `$.+ *)-.+)-% +E(0d( 0( %),(&-2(*-3& # 0( *%5+)+&*-( /+ 0( +M90%)(*-3&7 P&( +M90%)(*-3& <-+& %),(&-2(/( *%&$.( /+ ;&( -&.)%/;**-3&! ;&($ <($+$ % D;&/('+&.%$ N-&*0;-/( 0( +M90-*(*-3& /+ 9%) b;c $+ +0-,-3 +0 .+'(O! ;&( /+$*)-9*-3& /+0 %<^+.-E% ,+&+)(0 /+ 0( +M90%)(*-3& # ;&( *%&*0;$-3&7 P&( +M90%)(*-3& *%5+)+&.+ +$._ /+$())%00(/( /+ '%/% 03,-*% # +$ D_*-0 /+ $+,;-)7 =% .%N%) ,)<*?,$ *'& >$EJ,<'&8 *7& 07N*7& 2 *'& .,7>$7"7& .').% <'$$%&#').7 %) %* 0$7N7P' 2 )' 7.P?)07$*'& <'"' 7)%Q'& 7* J ,)7* .%* .'
Nivel

Descriptor de nivel

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I( +M90%)(*-3& &% (0*(&2( &-&,;&% /+ 0%$ &-E+0+$ +$9+*-D-*(/%$ 9%) 0%$ /+$*)-9.%)+$ b;+ D-,;)(& ( *%&.-&;(*-3&7

?

I( +M90%)(*-3& .-+&+ *-+).( *%5+)+&*-(7

=

I( +M90%)(*-3& .-+&+ *-+).( *%5+)+&*-( # ';+$.)( *-+).( %),(&-2(*-3&7

B

I( +M90%)(*-3& +$ *%5+)+&.+ # +$._ <-+& %),(&-2(/(7

Y

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51

Evaluación interna

Criterio B: Presentación matemática `$.+ *)-.+)-% +E(0d( +& b;c '+/-/( +0 (0;'&% +$ *(9(2 /+W 





P.-0-2() +0 0+&,;(^+ '(.+'_.-*% (9)%9-(/% N9%) +^+'90%! &%.(*-3&! $@'<%0%$ # .+)'-&%0%,@(O h+D-&-) .c)'-&%$ *0(E+! *;(&/% $+( &+*+$()-% P.-0-2() 'd0.-90+$ D%)'($ /+ )+9)+$+&.(*-3& '(.+'_.-*(! .(0+$ *%'% D3)';0($! /-(,)('($! .(<0($! ,)_D-*%$ # '%/+0%$! /%&/+ )+$;0.+ (9)%9-(/%

=% %&#%$7 .% *'& 7*?")'& R?% ?0,*,<%) %* *%)>?7P% "70%"E0,<' 7 *7 1'$7 .% <'"?),<7$ ,.%7&8 $7S')7",%)0'& 2 17**7S>'& "70%"E0,<'&B =% 7),"7 7 *'& 7*?")'& 7 %*%>,$ 2 7 ?0,*,S7$ *7& 1%$$7",%)07& 0%<)'*L>,<7& 7#$'#,7.7&8 <'"' <7*$EJ,<78 <7#0?$7& .% #7)07**78 #$'>$7"7& .% %*7N'$7<,L) .% >$EJ,<'&8 1'P7& .% $7"7& .% .,N?P'8 &%>T) <'$$%&#').78 <') %* J,) .% "%P'$7$ *7 <'"?),<7<,L) "70%"E0,<7B

Nivel

Descriptor de nivel

>

I( +M90%)(*-3& &% (0*(&2( &-&,;&% /+ 0%$ &-E+0+$ +$9+*-D-*(/%$ 9%) 0%$ /+$*)-9.%)+$ b;+ D-,;)(& ( *%&.-&;(*-3&7

?

I( 9)+$+&.(*-3& '(.+'_.-*( +$! +& *-+).% ,)(/%! (/+*;(/(7

=

I( 9)+$+&.(*-3& '(.+'_.-*( +$! +& $; '(#%) 9().+! (/+*;(/(7

B

I( 9)+$+&.(*-3& '(.+'_.-*( +$ (/+*;(/( +& $; .%.(0-/(/7

Criterio C: Compromiso personal `$.+ *)-.+)-% +E(0d( 0( '+/-/( +& b;+ +0 (0;'&% $+ *%'9)%'+.+ *%& 0( +M90%)(*-3& # 0( 5(*+ 9)%9-(7 `0 *%'9)%'-$% 9+)$%&(0 $+ 9;+/+ )+*%&%*+) +& /-$.-&.%$ (.)-<;.%$ # /+$.)+2($7 `&.)+ +00%$ $+ +&*;+&.)( +0 9+&$(' -+&.% -&/+9 +&/-+&.+ % *)+(.-E%! 0( +0+**-3& /+ .+'($ /+ -&.+)c$ 9+)$%&(0 # 0( 9)+$+&.(*-3& /+ -/+($ '(.+'_.-*($ ( $; '(&+)(7 Nivel

52

Descriptor de nivel

>

I( +M90%)(*-3& &% (0*(&2( &-&,;&% /+ 0%$ &-E+0+$ +$9+*-D-*(/%$ 9%) 0%$ /+$*)-9.%)+$ b;+ D-,;)(& ( *%&.-&;(*-3&7

?

Q(# -&/-*-%$ /+ ;& *%'9)%'-$% 9+)$%&(0 0-'-.(/% % $;9+)D-*-(07

=

Q(# -&/-*-%$ /+ *-+).% *%'9)%'-$% 9+)$%&(07

B

Q(# -&/-*-%$ /+ ;& -'9%).(&.+ *%'9)%'-$% 9+)$%&(07

Y

Q(# &;'+)%$%$ -&/-*-%$ /+ ;& +M*+0+&.+ *%'9)%'-$% 9+)$%&(07


Evaluación interna

Criterio D: Reflexión `$.+ *)-.+)-% +E(0d( +& b;c '+/-/( +0 (0;'&% )+E-$(! (&(0-2( # +E(0d( 0( +M90%)(*-3&7 R;&b;+ 0( )+D0+M-3& $+ 9;+/+ E+) +& 0($ *%&*0;$-%&+$ /+ 0( +M90%)(*-3&! .('<-c& $+ 9;+/+ +&*%&.)() ( 0% 0(),% /+0 .)(<(^%7 Nivel

Descriptor de nivel

>

I( +M90%)(*-3& &% (0*(&2( &-&,;&% /+ 0%$ &-E+0+$ +$9+*-D-*(/%$ 9%) 0%$ /+$*)-9.%)+$ b;+ D-,;)(& ( *%&.-&;(*-3&7

?

Q(# -&/-*-%$ /+ ;&( )+D0+M-3& 0-'-.(/( % $;9+)D-*-(07

=

Q(# -&/-*-%$ /+ ;&( )+D0+M-3& $-,&-D-*(.-E(7

B

Q(# -&/-*-%$ *%&.;&/+&.+$ /+ ;&( )+D0+M-3& *)@.-*(7

Criterio E: Uso de las matemáticas `$.+ *)-.+)-% +E(0d( +& b;c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
Nivel

Descriptor de nivel

>

I( +M90%)(*-3& &% (0*(&2( &-&,;&% /+ 0%$ &-E+0+$ +$9+*-D-*(/%$ 9%) 0%$ /+$*)-9.%)+$ b;+ D-,;)(& ( *%&.-&;(*-3&7

?

L+ ;.-0-2(& ;&($ '(.+'_.-*($ (0,% 9+).-&+&.+$7

=

L+ ;.-0-2(& ;&($ '(.+'_.-*($ (0,% 9+).-&+&.+$7 L+ /+';+$.)( ;&( *%'9)+&$-3& 0-'-.(/(7

B

L+ ;.-0-2(& ;&($ '(.+'_.-*($ 9+).-&+&.+$ # (*%)/+$ *%& +0 &-E+0 /+0 *;)$%7 L+ /+';+$.)( ;&( *%'9)+&$-3& 0-'-.(/(7

Y

L+ ;.-0-2(& ;&($ '(.+'_.-*($ 9+).-&+&.+$ # (*%)/+$ *%& +0 &-E+0 /+0 *;)$%7 I%$ ($9+*.%$ '(.+'_.-*%$ +M90%)(/%$ $%& 9()*-(0'+&.+ *%))+*.%$7 L+ /+';+$.)(& *-+).% *%&%*-'-+&.% # *-+).( *%'9)+&$-3&7

A

L+ ;.-0-2(& ;&($ '(.+'_.-*($ 9+).-&+&.+$ # (*%)/+$ *%& +0 &-E+0 /+0 *;)$%7 I%$ ($9+*.%$ '(.+'_.-*%$ +M90%)(/%$ $%&! +& $; '(#%) 9().+! *%))+*.%$7 L+ /+';+$.)(& ;& *%&%*-'-+&.% # ;&( *%'9)+&$-3& <;+&%$7

f

L+ ;.-0-2(& ;&($ '(.+'_.-*($ 9+).-&+&.+$ # (*%)/+$ *%& +0 &-E+0 /+0 *;)$%7 I%$ ($9+*.%$ '(.+'_.-*%$ +M90%)(/%$ $%& *%))+*.%$7 L+ /+';+$.)(& ; & *%&%*-'-+&.% # ;&( *%'9)+&$-3& $30-/%$7


53

Apéndices

Glosario de términos de instrucción

Términos de instrucción con definiciones I%$ (0;'&%$ /+<+)_& D('-0-()-2()$+ *%& 0%$ $-,;-+&.+$ .c)'-&%$ # +M9)+$-%&+$ ;.-0-2(/%$ +& 0($ 9)+,;&.($ /+ +M('+&7 I%$ .c)'-&%$ $+ /+<+)_& -&.+)9)+.() .(0 # *%'% $+ /+$*)-<+ ( *%&.-&;(*-3&7 R;&b;+ +$.%$ .c)'-&%$ $+ ;$()_& +& 0($ 9)+,;&.($ /+ +M('+&! .('<-c& 9%/)_& ;$()$+ %.)%$ .c)'-&%$ *%& +0 D-& /+ ,; -() ( 0%$ (0;'&%$ 9()( b;+ 9)+$+&.+& ;& (),;'+&.% /+ ;&( '(&+)( +$9+*@D-*(7 A partir de lo anterior

P.-0-2() 0%$ )+$;0.(/%$ %<.+&-/%$ (&.+)-%)'+&.+ 9()( )+$9%&/+) ( 0( 9)+,;&.(7

A partir de lo anterior o de cualquier otro modo

I( +M9)+$-3& $;,-+)+ b;+ $+ ;.-0-*+& 0%$ )+$;0.(/%$ %<.+&-/%$ (&.+)-%)'+&.+! 9+)% .('<-c& 9;+/+& *%&$-/+)()$+ E_0-/%$ %.)%$ 'c.%/%$7

Calcular

1<.+&+) ;&( )+$9;+$.( &;'c)-*( # '%$.)() 0($ %9+)(*-%&+$ 9+).-&+&.+$7

Comentar

`'-.-) ;& ^;-*-% <($(/% +& ;& +&;&*-(/% /+.+)'- &(/% % +& +0 )+$;0.(/% /+ ;& *_0*;0%7

Comparar

`M9%&+) 0($ $+'+^(&2($ +&.)+ /%$ N% '_$O +0+'+&.%$ % $-.;(*-%&+$ )+D-)-c&/%$+ *%&$.(&.+'+&.+ ( ('<%$ N% ( .%/%$O7

Comparar y contrastar

`M9%&+) 0($ $+'+^(&2($ # /-D+)+&*-($ +&.)+ /%$ N% '_$O +0+'+&.%$ % $-.;(*-%&+$ )+D-)-c&/%$+ *%&$.(&.+'+&.+ ( ('<%$ N% ( .%/%$O7

Contrastar

`M9%&+) 0($ /-D+)+&*-($ +&.)+ /%$ N% '_$O +0+'+&.%$ % $-.;(*-%&+$ )+D-)-c&/%$+ *%&$.(&.+'+&.+ ( ('<%$ N% ( .%/%$O7

Deducir

`$.(<0+*+) ;&( *%&*0;$-3& ( 9().-) /+ 0( -&D%)'(*-3& $;'-&-$.)(/(7

Demostrar

R*0()() '+/-(&.+ )(2%&('-+&.%$ % /(.%$! -0;$.)(&/% *%& +^+'90%$ % (90-*(*-%&+$ 9)_*.-*($7

Derivar

1<.+&+) 0( /+)-E(/( /+ ;&( D;&*-3&7

Describir

`M9%&+) /+.(00(/('+&.+7

Determinar

1<.+&+) 0( d&-*( )+$9;+$.( 9%$-<0+7

Dibujar aproximadamente

F+9)+$+&.() 9%) '+/-% /+ ;& /-(,)('( % ;& ,)_D-*% N)%.;0(/%$ $- D;+$+ &+*+$()-%O7 `0 +$b;+'( /+<+)_ /() ;&( -/+( ,+&+)(0 /+ 0( D -,;)( % )+0(*-3& b;+ $+ 9-/+ # /+<+)_ -&*0;-) 0($ *()(*.+)@$.-*($ 9+). -&+&.+$7

Dibujar con precisión

F+9)+$+&.() ( 0_9-2 9%) '+/-% /+ ;& /-(,)('( % ;& ,)_D-*% 9)+*-$%$ # )%.;0(/%$7 L+ /+<+ ;.-0-2() 0( )+,0( 9()( 0($ 0@&+($ )+*.($7 I%$ /-(,)('($ $+ /+<+& /-<;^() ( +$*(0(7 `& 0%$ ,)_D-*%$! *;(&/% +0 *($% 0% )+b;-+)(! 0%$ 9;&.%$ /+<+& (9()+*+) *%))+*.('+&.+ '()*(/%$ # ;&-/%$! <-+& 9%) ;&( 0@&+( )+*.(! % 9%) ;&( *;)E( $;(E+7

Distinguir

6&/-*() /+ D%)'( *0()( 0($ /-D+)+&*-($ +&.)+ /%$ % '_$ *%&*+9.%$ % +0+'+&.%$7

Elaborar

G%$.)() -&D%)'(*-3& /+ D%)'( 03,-*( % *%& ;& /-(,)('(7

54


Glosario de términos de instrucción

Enumerar

C)%9%)*-%&() ;&( 0-$.( /+ )+$9;+$.($ *%).($ $-& &-&,d& .-9% /+ +M90-*(*-3&7

Escribir

1<.+&+) 0( )+$9;+$.( N% )+$9;+$.($O! 9%) 0% ,+&+)(0! ( 9().-) /+ 0( -&D%)'(*-3& b;+ $+ 9;+/+ +M.)(+)7 L+ )+b;-+)+& 9%*%$ *_0*;0%$ % &-&,;&%! # &% +$ &+*+$()-% '%$.)() 0%$ 9($%$ b;+ $+ 5(& $+,;-/%7

Estimar

1<.+&+) ;& E(0%) (9)%M-'(/%7

Explicar

`M9%&+) /+.(00(/('+&.+ 0($ )(2%&+$ % *(;$($ /+ (0,%7

Hallar

1<.+&+) ;&( )+$9;+$.( '%$.)(&/% 0%$ 9($%$ 9+).-&+&.+$7

Identificar

h() ;&( )+$9;+$.( +&.)+ ;& &d'+)% /+ 9%$-<-0-/(/+$7

Indicar

`$9+*-D-*() ;& &%'<)+! ;& E(0%) % *;(0b;-+) %.)% .-9% /+ )+$9;+$.( *%).( $-& (9%).() +M90-*(*-%&+$ &- *_0*;0%$7

Integrar

1<.+&+) 0( -&.+,)(0 /+ ;&( D;&*-3&7

Interpretar

P.-0-2() 0%$ *%&%*-'-+&.%$ # 0( *%'9)+&$-3& 9()( )+*%&%*+) .+&/+&*-($ # +M.)(+) *%&*0;$-%&+$ ( 9().-) /+ -&D%)'(*-3& /+.+)'-&(/(7

Investigar

1<$+)E()! +$.;/-() % )+(0-2() ;& +M('+& /+.(00(/% # $-$.+'_.-*% 9()( 9)%<() 5+*5%$ # 00+,() ( &;+E($ *%&*0;$-%&+$7

Justificar

C)%9%)*-%&() )(2%&+$ % 9);+<($ E_0-/($ b;+ )+$9(0/+& ;&( )+$9;+$.( % *%&*0;$-3&7

Mostrar

6&/-*() 0%$ 9($%$ )+(0-2(/%$ +& ;& *_0*;0% % /+/;**-3&7

Mostrar que

1<.+&+) +0 )+$;0.(/% )+b;+)-/% N9%$-<0+'+&.+! ;.-0-2(&/% 0( -&D%)'(*-3& /(/(O $-& &+*+$-/(/ /+ ;&( 9);+<(7 `& +$.+ .-9% /+ 9)+,;&.($! 9%) 0% ,+&+)(0! &% +$ &+*+$()-% +0 ;$% /+ 0( *(0*;0(/%)(7

Predecir

h() ;& )+$;0.(/% +$9+)(/%7

Resolver

1<.+&+) 0( )+$9;+$.( 9%) '+/-% /+ 'c.%/%$ (0,+<)(-*%$! &;'c)-*%$ % ,)_D-*%$7

Rotular

R:(/-) )3.;0%$ % +&*(<+2('-+&.%$ ( ;& /-(,)('(7

Situar

G()*() 0( 9%$-*-3& /+ 9;&.%$ +& ;& /-(,)('(7

Sugerir

C)%9%&+) ;&( $%0;*-3&! ;&( 5-93.+$-$ ; %.)( 9%$-<0+ )+$9;+$.(7

Verificar

C)%9%)*-%&() 9);+<($ b;+ E(0-/+& +0 )+$;0.(/%7


55

Apéndices

Notación

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

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/("I1"#( *% '() "J6%$() %"#%$()2 KL2  M2  N2  O2???P



/("I1"#( *% '() "J6%$() %"#%$() -()+#+,()2 KM2 N2 O2???P

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/("I1"#( *% '() "J6%$() $./+(".'%) /("I1"#( *% '() "J6%$() $./+(".'%) -()+#+,()2 K ! Q !  2 !  LP

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/("I1"#( *% '() "J6%$() $%.'%) -()+#+,()2 K ! Q !  2 !  LP

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K !M2

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1"+0"

56


Notación

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57

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59

Matematicas NM IB - Guia de La Materia Mat Sl Ib

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