eduscol education fr D0015

Description

!eduscol.education.fr/ D0015/ Mathématiques Collège Projet de document d'accompagnement - du numérique au littéral - 5 avril 2006

• bureau du contenu des enseignements


• d0f0 kn'


• projet de document d'accompagnement


• direction de l'enseignement scolaire


• introduction des lettres t3

Subjects

• Documents
• Education

Informations

• Published by: apmep
• Published: 01 April 2006
• Reads: 24
• Language: English

Exrait

       

Mathématiques  Collège           Projet de document d’accompagnement     - du numérique au littéral -    

!eduscol.education.fr/ D0015/

5 avril 2006

DU NUMÉRIQUE AU LITTÉRAL  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 L &, & ? -$-,-3,-($ G /3 95'(/7,-($ %& :9()/82&' :39 %&' 25,4(%&' 3/15)9-67&' /-5&' '(7>&$, G /07,-/-'3,-($ %& .($+,-($'A   1  différents usages des lettres. Les M /05+(/& 5/52&$,3-9& &, 37 %5)7, %7 +(//81&? /3 /&,,9& &', 7,-/-'5& +(22& ';2)(/& %07$-,5 N4? 2OP? :(79 %5'-1$&9 7$ ()*&, :95+-' N7$ :(-$, M? /& $(2)9& QOP? :(79 %5'-1$&9 7$& 193$%&79 (7 7$& 2&'79& %3$' 7$& .(927/&A R//& 3 3/(9' '(7>&$, >3/&79 %03)95>-3,-($ C %3$' M S T = /? M &', '(7>&$, -$,&9:95,5 +(22& 7$& 3)95>-3,-($ %&!"#$? T %&%&'()$)#? / %&%!#($)#J %3$' U S Q = B? U &', 3/(9' -$,&9:95,5 +(22& 3)95>-3,-($ %& *+#",-.#$ &, B %&/"!,-.#$A M7 +(//81&? /3 /&,,9& 3+67-&9, %& $(7>&37= ',3,7,' 67- 9&',&$, '(7>&$, -2:/-+-,&' :(79 /05/8>& C   !"#$% '" ()*%)+#"T3 9&$+($,9& %& /3 /&,,9& +(22& >39-3)/&A &', ,98' :95+(+&? %8' /07,-/-'3,-($ %& .(927/&'A T3 >3/&79 %& +&9,3-$&' /&,,9&' %5:&$% 3/(9' %&' >3/&79' 3,,9-)75&' 37= 37,9&'A T3 95'(/7,-($ %& +&9,3-$' :9()/82&' &, /07,-/-'3,-($ %07$ ,3)/&79 '($, :39,-+7/-89&2&$, :9(:-+&' G 7$ ,93>3-/ '79 +&, 7'31& %&' /&,,9&'A   R=&2:/& %& :9()/82& C -/ '031-, %05,3)/-9 7$& .(927/& 67- :&92&, %& +3/+7/&9 /& $(2)9& %& +399&37= 19-'5' %07$& .-179& +($',97-,& '79 /& 2(%8/& +-D+($,9&? 67&/ 67& '(-, /& $(2)9& %& +399&37= '79 /& +@,5 %7 +3995A                 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 D FV' HVN' GVP D FKN' G"P F D ' HVN' G"PHN'VP G I. 5 )' !).#$ '"4$!) /$ 7%!22$ E D F ' V  GN' GVP V      T07,-/-'3,-($ %07$ ,3)/&79 &', 7$& 37,9& (++3'-($ %& %($$&9 %7 '&$' G /3 $(,-($ %& >39-3)/& %3$' /3 2&'79& (H %3$' /05%-,-($ %07$& .(927/&? +& '($, /&' 3%9&''&' %&' +&//7/&' 67- '($, :9-'&' &$ +(2:,& &, $($ /&79' +($,&$7' %7 2(2&$,A T& .3-, %& 2(%-.-&9 /& +($,&$7 %07$& +&//7/& %5'-1$5& %3$' /3 .(927/& 2(%-.-& /& +($,&$7 %& /3 +&//7/& (H &', -2:/3$,5& /3 .(927/&? /&

 

+($,&$7 %& +&,,& +&//7/& 3::393W, 3-$'- .($+,-($ %&' +($,&$7' %&' +&//7/&' :95'&$,&' %3$' /3 .(927/&A M-$'- /& ,3)/&79 :&7,? %3$' /3 95'(/7,-($ %& :9()/82&'? I,9& 7,-/-'5 :(79 %5,&92-$&9 /& :9-= XXY %07$& '59-& %039,-+/&' 3''7*&,,-' 37 2I2& ,37= %& XZM? F?F[ :39 &=&2:/&? &, +($,9-)7&9 G -//7',9&9 /&' $(,-($' %& .($+,-($ &, %& >39-3)/&A M:98' 3>(-9 $(225 \ U9-= ]X ^ /3 :9&2-89& +(/($$&? \ X3=& ^ /3 %&7=-82& +(/($$& &, \ U9-= XXY ^ /3 ,9(-'-82& +(/($$&? %3$' /3 +&//7/& MV? ($ &$,9& /& :9-= ]X %07$ 39,-+/&? %3$' /3 +&//7/& _V /3 .(927/& S MV`F?FC"aa &, %3$' /3 +&//7/& YV /3 .(927/& SMVb_VA   !"#$% ',%-'./"*0%-."A T3 /&,,9& $& 9&:95'&$,& :/7' %&' $(2)9&' :39,-+7/-&9'? 23-' 37 +($,93-9& %&' $(2)9&' 67&/+($67&' +(22& %3$' /&' -%&$,-,5' ,&//&' 67&JN!b6P SJ! bJ6(H /0513/-,5 &', 7$->&9'&//&2&$, >93-&A c/ &', -2:(9,3$, 67& +& +393+,89& %07$->&9'3/-,5 '(-, 2&$,-($$5 '3$' ,(7,&.(-' .3-9& 3::&/ 37= 673$,-.-+3,&79'? 23-' '(7' %&' .(92&' 3++&''-)/&' 37= 5/8>&'? +(22& \ U(79 ,(7,&' /&' >3/&79' %($$5&' 37= /&,,9&'!?6?J? ($ 3JN!b6P SJ!bJ6^A 1!'2 %$ *#&6%-,$ /) '&,6#$ /$ 7!##$!)8 (#"2+23 %! /"4$#2".+ /$2 ,+.;&/$2 /$ 7!%7)% $. /$2 :&#,)%$2 *#&/)".$2 !,-'$ %! <)$2."&' /$ %?+<)"4!%$'7$ /$2 $8*#$22"&'2= K$%%$L7" *$).LM.#$ .$2.+$ 2)# /$2 4!%$)#2 '),+#"<)$2 !4!'. /?M.#$ *#&)4+$ $' !N!'. #$7&)#2 !) 7!%7)% %"..+#!%= 1!'2 %$2 .#!'2:&#,!."&'2 /?+7#".)#$2 !"'2" $::$7.)+$23 %! %$..#$ ' !7<)"$#. %$ 2.!.). /?"'/+.$#,"'+$ 2N,6&%"2!'. )' '&,6#$ <)$%7&'<)$=   !"#$% ',%-12--$"A d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 C 673$% ($ 5+9-, 7$& 513/-,5? -/ +($>-&$, %0&$,&$%9& \ /0513/-,5 &', >93-& ^A T3 +(2:954&$'-($ %& +& 670&', 7$& '(/7,-($ %07$& 5673,-($ &$ 9&+(793$, G %&' ,&',' %& /3 >3/&79 %& >59-,5 %& /0513/-,5 &', 7$ :953/3)/& G /03::9&$,-''31& %& ,&+4$-67&' %& 95'(/7,-($ %07$& 5673,-($A O' *#&%&'($,$'. 5 %! 2".)!."&' /) '&,6#$ /$ 7!##$!)8 (#"2+2 7&'2"2.$ 5 *&2$# %$ *#&6%-,$ /$ %! /+.$#,"'!."&' /) '&,6#$ /$ 7!##$!)8 2)# %$ 79.+ /) 7!##+ *&)# <)$ %$ '&,6#$ /$ 7!##$!)8 (#"2+2 2&". +(!% *!# $8$,*%$ 5 PPQ &) 5 RS= 1-2 %! 7%!22$ /$ T $ 3 %$ .!6%$)# *$). M.#$ )."%"2+ *&)# .$2.$# /$2 4!%$)#2 $. !"'2" /+.$#,"'$# 2" )' '&,6#$ $2. 2&%)."&' /?)'$ +<)!."&'= U)%."*%"$# %$2 $22!"23 ."#$# /$2 "':&#,!."&'2 /$ *#$,"$#2 $22!"2 *&)# $' $::$7.)$# /$ '&)4$!)8 $' 4)$ /$ .#&)4$# )' '&,6#$ *&)# %$<)$% %?+(!%".+ $2. 4+#":"+$ $2. )'$ !7."4".+ <)" 7&'.#"6)$ 5 /&''$# /) 2$'2 5 %! '&."&' /$ 2&%)."&' / )'$ +<)!."&' $. 5 "'2.!%%$# )' '&)4$!) 2.!.). /) 2"('$ ? /?+(!%".+= >$ #$7&)#2 5 )'$ /+,!#7;$ *!# $22!"2 $. !@)2.$,$'.2 &) %?)."%"2!."&' /?)' .!6%$)# *&)# .#&)4$# /$2 2&%)."&'2 /?)'$ +<)!."&' *#+2$'.$'. /$2 %",".$2 V'&,6#$ /$ .$'.!."4$23 !77$22"6"%".+ /$2 2&%)."&'23 "'7$#.".)/$ 2)# %?$8;!)2."4".+ /$2 #+2)%.!.2W3 7$ <)" 4! @)2.":"$# %?+.)/$ /$ .$7;'"<)$2 /$ #+2&%)."&' V4&"# %$ X SW=   !"#$% '" 3)*)04/*"A T3 /&,,9& 9&:95'&$,& 7$& 673$,-,5 '7::('5& +($$7& :39 93::(9, G %037,9&' /&,,9&' 67- ($, C D '(-, /& ',3,7, %& >39-3)/& +(22& %3$' /3 %5.-$-,-($ %& /3 .($+,-($ /-$53-9& %& +(&..-+-&$,!%5,&92-$5& :398 ! !8(H8  %5'-1$& /3 >39-3)/& &,!7$ $(2)9& %5,&92-$5 J D '(-, /& ',3,7, %0-$+($$7& +(22& %3$' /3 %5'-1$3,-($ %07$& 5673,-($ %7 '&+($% %&195 G 7$& -$+($$7& 67- &', %& /3 .(92&

Collège– mathématiques – projet de document d’ adcuc onmupmaégrniqeumeeanutl–it–t épraalg"e     Direction de l’enseignement scolaire – bureau du contenu des enseignements

!8 V  b68 b7 S a (H8 /0-$+($$7&? %5'-1$&!?6? &,7%&' $(2)9&' %5,&92-$5'? (7 37 +(//81& 673$% /0&$'&-1$3$, :95+-'& 67& ,(7,& 5673,-($ %7 :9&2-&9 %&195 G 7$& -$+($$7& :&7, '& 932&$&9 G 7$& 5673,-($ %& /3 .(92&!8S6J D '(-, /& ',3,7, %0-$%5,&92-$5& +(22& %3$' /05$($+-3,-($ %7 .3-, 67& ,(7,& &=:9&''-($ %7 :9&2-&9 %&195 :&7, I,9& 5+9-,& '(7' /3 .(92&!8b6A M7 +(//81&? /07,-/-'3,-($ %& :39328,9&' &', :&7 .9567&$,& &$ 23,4523,-67&? +& 67- $0&', :3' /& +3' &$ '+-&$+&' :4;'-67&'A U39 &=&2:/& :(79 &=:9-2&9 G :39,-9 %& /3 .(927/& # S dc /0-$,&$'-,5 &$ .($+,-($ %& /3 95'-',3$+& :(79 7$& ,&$'-($ %($$5&? /03,,9-)7,-($ %07$& >3/&79 $7259-67& G # $0-$,&9>-&$, 6703:98' ,93$'.(923,-($ %& /3 .(927/&A B3$' +& ,93>3-/ %& /3 .(927/&? /3 /&,,9& # 3 3/(9' /& ',3,7, %& :39328,9&A   Y *#&*&2 /$ %! /+.$#,"'!."&' /) '&,6#$ /$ 7!##$!)8 2)# %$ 79.+ /) 7!##+ <)!'/ %$ '&,6#$ /$ 7!##$!)8 ;!7;)#+2 $2. 7&'')3 %?$8"2.$'7$ /$ 2&%)."&' /+*$'/ /$2 4!%$)#2 !..#"6)+$2 5 7$ /$#'"$# '&,6#$= O' *#&%&'($,$'. 5 7$ *#&6%-,$ 7&'2"2.$ 5 /+.$#,"'$# /$2 4!%$)#2 /) '&,6#$ D /$ 7!##$!)8 (#"2+2 *&)# %$<)$% %$ *#&6%-,$ ! )'$ 2&%)."&'3 7$ <)" *$). 7&'/)"#$ 5 /"27).$# *!# $8$,*%$ %?$8"2.$'7$ /?)'$ 2&%)."&' 5 %?+<)!."&' K' GK SD ! !%&#2 %$ 2.!.). /$ *!#!,-.#$=D &Z %! %$..#$   U(79 7$& 2I2& &=:9&''-($? /& ',3,7, %& /3 /&,,9& >39-& &$ .($+,-($ %& /3 ,e+4&A M-$'-? %3$' /& :9()/82& %& /3 %5,&92-$3,-($ %7 $(2)9& %& +399&37= 19-'5' &$ .($+,-($ %7 $(2)9& %& +399&37= '79 /& +@,5 %7 +3995 C D /3 /&,,9& 3 /& ',3,7, %& >39-3)/& /(9'67& %3$' /3 .(927/&D F KN' G"P?'&', 9&2:/3+5& :39 7$& >3/&79 $7259-67& J D /3 /&,,9& 3 /& ',3,7, %0-$%5,&92-$5& /(9'670-/ '031-, :39 &=&2:/& %& :9(7>&9 /0567->3/&$+& %&' &=:9&''-($' KN' G "P &, K' GK J D /3 /&,,9& 3 /& ',3,7, %0-$+($$7& /(9'670-/ '031-, %& %5,&92-$&9 /& $(2)9& %& +399&37= '79 /& +@,5 %7 +3995 673$% /& $(2)9& %& +399&37= 19-'5' &', +($$7? +0&', /& +3' %3$' /3 95'(/7,-($ %& /05673,-($ KN' G"P ""VA S M7 +(79' %& /3 95'(/7,-($ %07$ :9()/82&? /& ',3,7, %& /3 /&,,9& 5>(/7&A M-$'- %3$' /3 95'(/7,-($ %& KN' G "P S ""V? /& 9&2:/3+&2&$, %& +&,,& 5673,-($ :39 /05673,-($ 567->3/&$,& K'  f K S""V? $5+&''-,& %0(:59&9 /3 ,93$'.(923,-($ %05+9-,79& %& KN' G "P &$ K' KA B3$' +&,,& ,93$'.(923,-($? /& ',3,7, %& /3 f /&,,9&' &', :3''5 %& .3g($ ,&2:(93-9& %& +&/7- %0-$+($$7& 670&//& 3>3-, %3$' /05673,-($ G +&/7- %0-$%5,&92-$5&A T&' %5'-1$3,-($' %&' %-..59&$,' ',3,7,' %& /3 /&,,9& :95'&$,5' -+- '($, G %&',-$3,-($ %& /0&$'&-1$3$,A h- +& >(+3)7/3-9& $& %(-, :3' I,9& 7$ &$*&7 %0&$'&-1$&2&$,? -/ &', &''&$,-&/ 67& /&' 5/8>&' '3+4&$, %-',-$17&9 &$ '-,73,-($ /&' 9@/&' %-..59&$,' *(75' :39 /&' /&,,9&'A   2. Les différents statuts du signe « = » T& '-1$& \ S ^ &', -$,9(%7-, ,98' ,@, G /05+(/& :9-23-9& &,? 37 +(79' %& /3 '+(/39-,5? -/ &', 7,-/-'5 3>&+ :/7'-&79' '-1$-.-+3,-($' 67- '($, 939&2&$, &=:/-+-,5&' 3>&+ /&' 5/8>&'A   5 #,.12#" .#.0"-/)%*" D T& '-1$& \ S ^ &', /& :/7' '(7>&$, 7,-/-'5 :(79 3$$($+&9 7$ 95'7/,3,? +(22& :39 &=&2:/& %3$' i b "L S V"A T& '-1$& \ S ^ &', 3/(9' /7 +(22& '-1$-.-3$, \ g3 %($$& ^? \ g3 .3-, ^? &, -/ 3::393W, +(22& 5,3$, (9-&$,5 \ 137+4&D%9(-,& ^A B&' 5+9-,79&' +(22& V?L b L?i S E?"G"?F S K?E? :9(%7-,&' G /0(++3'-($ %& /3   95'(/7,-($ %07$ :9()/82&? ,52(-1$&$, %& +&,,& +($+&:,-($A Y&,,& '-1$-.-+3,-($ +(99&':($% G +&//& %& /3 ,(7+4& jSk %&' +3/+7/3,9-+&' (9%-$3-9&'A D T& '-1$& \ S ^ &', &$+(9& 7,-/-'5 :(79 +(227$-67&9 /3 %5+(2:('-,-($ %07$ $(2)9&A Y0&', /& +3' /(9'67& /05/8>& %5+(2:('& 7$ $(2)9& '(7' .(92& %& :9(%7-, NLE S K!lP (7? :/7' .9567&22&$, /(9'670-/ %5+(2:('& 7$ $(2)9&? &$,-&9 (7 %5+-23/? '7->3$, /&' :7-''3$+&' %& /3 )3'& %3$' $(,9& ';',82& %& $72593,-($ %5+-23/&A M-$'- /0513/-,5 VLaK S V!"aaa L! b  

"aa b K ,93%7-, 67& VLaK +0&', %&7= 2-//-&9'? L +&$,3-$&' &, K " " 7$-,5'A B& 2I2& /0513/-,5 V?mL S V b m! b L!   "a "aa ,93%7-, 67& V?mL +0&', V 7$-,5'? m %-=-82&' &, L +&$,-82&'A D R$.-$? 23-' :/7' 939&2&$,? /& '-1$& \ S ^ &', 7,-/-'5 :(79 '-1$-.-&9 67& %&7= 5+9-,79&' 9&:95'&$,&$, 7$ 2I2& $(2)9&A M-$'-? /(9'67& /&' 5/8>&' ($, G :/3+&9 /& $(2)9& m '79 7$& K %&2-D%9(-,& 193%75& &$ 6739,'? -/' :&7>&$, >(-9 m  +(22& K 5,3$, 673,9& 6739,' :/7' ,9(-' 6739,'? +0&',DGD%-9& 7$& 7$-,5 &, ,9(-' 6739,'? (7 &$+(9& +(22& 5,3$, 47-, 6739,' 2(-$' 7$ 6739,? +0&',DGD%-9& %&7= 7$-,5' 2(-$' 7$ 6739,? &, 5+9-9& " b   L " K S VG K A T& '-1$& %0513/-,5 &=:9-2& 3/(9' 7$& 9&/3,-($ ';25,9-67& &, ,93$'-,->&A   5$ 12##46" D T0&2:/(- %7 '-1$& \ S ^ +(22& ';2)(/& &=:9-23$, 670($ 3 3..3-9& G %&7= &=:9&''-($' %07$ 2I2& ()*&, 23,4523,-67& %&>-&$, :95%(2-$3$,? $(,322&$, :(79 /&' &=:9&''-($' /-,,59 /&'? +(22& 39 &= ! !"6 3 A S : &2:/&!b 6 V ! V           D T& '-1$& \ S ^ &', 513/&2&$, 7,-/-'5 :(79 ,93%7-9& 7$& -%&$,-,5A c/ '-1$-.-& 3/(9' 67& 67&//&' 67& '(-&$, /&' >3/&79' 3,,9-)75&' 37= /&,,9&'? /&' >3/&79' \ 9&,(79$5&' ^ :39 /&' %&7= &=:9&''-($' .-1793$, %& :39, &, %037,9& %7 '-1$& \ S ^ '($, 513/&'A c/ 9&$% +(2:,& %& /07$->&9'3/-,5 %07$ 5$($+5 +(22& :39 &=&2:/&JN!b6P SJ!b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 S ^ &', 7,-/-'5 +(22& ';2)(/& %03..&+,3,-($? +(22& :39 &=&2:/& /(9'67& 670($ '& :9(:('& %& +3/+7/&9!b V6:(79!S "?L &,6S a?mA   3. Formules et introduction des lettres T3 :9(%7+,-($ %07$& .(927/& 3::393W, +(22& 7$& 95:($'& G /3 67&',-($ %& /3 %&'+9-:,-($ 15$593/& %07$& '-,73,-($ .3-'3$, -$,&9>&$-9 %&' >3/&79' $7259-67&' :39,-+7/-89&' &, /07,-/-'3,-($ %& /&,,9&' :&92&, %& 95'(7%9& /& :9()/82& %& /3 %5'-1$3,-($ %&' >39-3)/&' &$ *&7 %3$' /3 '-,73,-($A T& ,93>3-/ '79 /&' .(927/&'? :9&2-89& 9&$+($,9& 3>&+ /&' &=:9&''-($' 3/15)9-67&'? &', /0(++3'-($ %& 2&,,9& /03++&$, '79 +&' &=:9&''-($' &, %& /&' \ %52;',-.-&9 ^A R//&' 3::393-''&$, 3/(9' +(22& /3 ,93%7+,-($ %&' 25,4(%&' %& +3/+7/ 2-'&' &$ n7>9& :39 /&' 5/8>&'A M-$'-? %3$' /0&=&2:/& %&' +399&37= 19-'5' '79 /& :(79,(79 %7 +3995? %-..59&$,&' 25,4(%&' %& +3/+7/ &=-',&$, C D %5+(7:31& %7 +($,(79 19-'5 &$ 673,9& )3$%&' %($, /3 /($17&79 %& +43+7$& %0&//& &', 513/& 37 $(2)9& %& +399&37= '79 /& +@,5 %7 +3995 2(-$' 7$? 67- +($%7-, G /0&=:9&''-($ KN' G  "P J  D %5+(7:31& %7 +($,(79 19-'5 &$ 673,9& )3$%&' %($, /3 /($17&79 %& +43+7$& %0&//& &', 513/& 37 $(2)9& %& +399&37= '79 /& +@,5 %7 +3995 23-' 3/(9'? +4367& +399&37 %& +(-$ &', +(2:,3)-/-'5 %&7= .(-'A Y&,,& 25,4(%& +($%7-, G /0&=:9&''-($ K'f K J  D 3-9& %07$& '79.3+& >7& +(22& /3 %-..59&$+& %& %&7= '79.3+&' +3995&'? /07$& %& +@,5'&, /037,9& %& +@,5'f V? 67- +($%7-, G /0&=:9&''-($' V GN'f VP V A 

Collège– mathématiques – projet de document d’adccuonmupmaégrniqeumeeanutl–i t–t épraalgVe     Direction de l’enseignement scolaire – bureau du contenu des enseignements

c/ ; 3 )-&$ %&' .3g($' %& %5'-1$&9 /& $(2)9& %& +399&37= '79 /& 3-$'- /0&=:9&''-($ K b i $& '3793-, .-179&9 +(22& 95:($'& G V +@,5 C :39 7$ ';2)(/&? :39 7$& /&,,9&O T& +4(-= %& 9&+(79-9 G b V b F b L? /& +3/+7/ 5,3$, +($'-%595 +(22& -$3+4&>5A X3$, 7$& /&,,9& &', /& .97-, %07$& +($>&$,-($A B3$' /3 +/3''&? 67& '7)'-',& 7$ ';2)(/& (:593,(-9&? /& ,93>3-/ $0&', :3' 3+4&>5A /07,-/-'3,-($ :39 /&' 5/8>&' %& /&,,9&' %-..59&$,&' :(79 %5'-1$&9 X(7,&.(-'? -/ 399->& &$ 39-,425,-67& 6707$ 5/8>& '(-, 32&$5 G 7$& 2I2& >39-3)/& &', 7$ :(-$, %03::7- -2:(9,3$, :(79 9&2:/3+&9 7$ $(2)9& :39 7$& 5+9-,79& %& +& $(2)9& (H 2($,9&9 67& /& +4(-= %&' /&,,9&' $03 :3' %0-$./7&$+& '79 /3 -$,&9>-&$, 7$& (:593,-($ &, %3$' +& +3' G 7,-/-'&9 /& '-1$& '(/7,-($ %7 :9()/82&A %0513/-,5 +(22& ';2)(/& %0567->3/&$+&A T05/3)(93,-($ %07$& 25,4(%& %& +3/+7/ :953/3)/& G /3 B3$' 7$& 95'(/7,-($ 3/15)9-67&? /3 %5239+4& &', -$>&9'5&A T&' :9(%7+,-($ %07$& .(927/& 9&:95'&$,& 7$& 5+($(2-& 67- 5>-,& 673$,-,5' -$+($$7&' '($, %5'-1$5&' :39 %&' /&,,9&' &, /&' %03>(-9 G 9&:&$'&9 /& :9()/82& G +4367& $(7>&//& >3/&79 9&/3,-($' &$,9& +($$7 &, -$+($$7 '($, 5,3)/-&' 3>3$, %0&$131&9 3,,9-)75& G /3 >39-3)/&A #$& .(-' /3 .(927/& :9(%7-,&? -/ &', 7,-/& /&' +3/+7/' 67- +($%7-9($, 37 95'7/,3,A T&' +3/+7/' '0&..&+,7&$, %& /3 .3-9& \ .($+,-($$&9 ^ :(79 %-..59&$,&' >3/&79' :(79 &$ '79 /&' /&,,9&' N9&:95'&$,3$, /&' 673$,-,5' -$+($$7&'P 37 2I2& .3-9& :&9+&>(-9 /& +393+,89& 5+($(2-67&A ,-,9& 67& '79 /&' $(2)9&' 67- &=:9-2&$, /&' 673$,-,5' +($$7&'A  c/' +($'-',&$, &$ %&' ,93$'.(923,-($' %05+9-,79& /51-,-25&'? $($ U(79 /&' 5/8>&' 67- '0(9-&$,&9($, >&9' /0&$'&-1$&2&$, :/7' &$ 95.59&$+& G /3 '-,73,-($ ,93-,5&? 23-' :39 %&' 981/&' :9(.&''-($$&/? /3 .9567&$,3,-($ %7 +3/+7/ /-,,593/ '& .&93 :(79 .(92&//&'A 7$& )($$& :39, G ,93>&9' /07,-/-'3,-($ %& .(927/&'A T& ,93>3-/Y"'2"3 /!'2 %$ 7!2 /$ %! /+.$#,"'!."&' /) [ /$ /$)8 ,"%"$) '79 /&' .(927/&'? 670-/ '031-''& %0&$ &=:/(-,&9 (7 %0&$ :9(%7-9&?'&,6#$2 \ ! $. 6 <)!'/ ! $. 6 2&'. *&2".":2 $. 6p !3 2" %$2 :&92&, ,98' ,@, 37 +(//81& 7$ :9&2-&9 +($,3+, 3>&+ %&' +%-4$2 *$)4$'. /&''$# 2$'2 !)8 /$)8 $8*#$22"&'2 ! H  6! .  $ ! &=:9&''-($' /-,,593/&'? '3$' 67& /&' 5/8>&' '(-&$, +($.9($,5' 37=  V    %-..-+7/,5' ':5+-.-67&' %& /3 %5239+4& 3/15)9-67& 2&$,-($$5&' 37 :393193:4& LA B&' '-,73,-($' +(22& /0&=:9&''-($ %7 ! V "  #$7&)#!'. 5 )'$ "'.$#*#+.!."&' (+&,+.#"<)$ !) 6 $' $(2)9& %& '(22&,'? %7 $(2)9& %039I,&' (7 &$+(9& %7 $(2)9& %& .3+&' %07$ :9-'2& %9(-, &$ .($+,-($ %7 $(2)9& %& '(22&,' ?/  6 ') H! $  N / $,& ! "&#/( $. $':$$:.7+)$.$,.' 2%$2 .#!"#!/)+$3  ! 2  ! $4 7$7! %!'$<)"4 %?+.#$# ,&' "6  "##.*!5  %7 :(/;1($& %& )3'&? '($, .3+-/&2&$, 3++&''-)/&'A M:98' 3>(-9  2&'. $' *&)# 95'(/7 /& :9()/82& :(79 67&/67&' :9-'2&' :39,-+7/-&9' :(79 /"::"7"%$   ,$ V  (#!/)+$='. "'.$#*#+.!6%$2 2)# %! /#&".  V /&'67&/' /& 9&+(79' 37 '(/-%& :&92&, %& >3/-%&9 /&' 95:($'&'? /&' $ 5/8>&' :&7>&$, I,9& +($.9($,5' 37 :9()/82& %& /05/3)(93,-($ %07$& 25,4(%& %& +3/+7/ :(79 $0-2:(9,& 67&/ :9-'2& %9(-, &,  + B 3 3 /+ $ 7 '  /' 7   $& $   5 9 + 5 & ' ' ( ' / - 7 , , & - $ ( ,  $  6 3/ 7 1 & 5   ) ' 9- ( 6 -& 7 $ & , ?    /0 2 & 3 = W 5 ,9 + - 7 ' , 5 - & ( ' $ & / , /& '   , + 97 ( + $ , , 7 9 9 @ & /   &  % % & & ' '     %& /3 :9(%7+,-($ %& /3 .(927/& 67- /7- +(99&':($%A   &=:9&''-($' /-,,593/&' N'(22&? :9(%7-,? 67(,   -&$ 3  ,P 3-$'- 67& /&'    M /0(++3'-($ %& /3 95'(/7,-($ %& :9()/82&'? /&' 5/8>&' '($,  9 % 8 0 1 5 / 1 & 3 ' /   -,5 %   & %   (- , , 9   3 I - , , 9 & &  2 : & & $ 9 , g   7  ' + 7 ( 9  2 + 2 & & //   & 7 ' $ D & +   - 9 A  &/3 U , 3 - 9 (   $  3 ' - ; // 2 &7 5 9 ,9 ' - ?  67 / & & '-1$&  +($%7-,' G 23$-:7/&9 %&' .(927/&' "  T3 &, 3-$'- G .3-9& .($+,-($$&9  A  %5239+4& 3/15)9-67& $5+&''-,& 3-$'- - /& +3/+7/ /-,,593/ :(79 C  :9(.($%& %&' ',93,51-&' %& 95'(/7,-($    3 7 $ $ , & 5   9 9 - &2 & ' ' &     & & , $     % + & 3   7 / ' 3 &     D +3/+7/&9 7$& >3/&79 673$% /&' 37,9&' '($, +($$7&'? +(22&  '-1$-.-+3,-($ %7-$& \ S ^A T& :3''31& %7 +3 & /+ 79 7/ $7259-67&  :39 &=&2:/& &$ '+-&$+&' :4;'-67&'? /3 %5,&92-$3,-($ %& /3  37 +3/+7/ 3/15   ) ' 9- 1 67& +($',-,7& 7$& >59-,3)/& 97:,79& 67&  >3/&79 %& c G :39,-9 %& /3 .(927/& U S #c 673$% /&' >3/&79' %& U &, # '($, +($$7&' (7 )-&$ &$+(9& %&4G :39,-9 %& /3 .(927/& R +  %(-, 9&$%9& >-'-)/& G /05/8>&A /0&$'&-1$3$,Y*#-2 <)?)'  " ,4 V 673$% /&' >3/&79' %& R + &,,'($, +($$7&'A #$.& )'  )# % )#  2;./& !+,# 2+ $$/' "&).&% /$.#,*$!(+/ '$? 2$% #$( *#6&-%$,! + +.# 2+) &%# *!$ )',!/+$;7#(%! "#6+3$)< S V 2*+7":"7".+2 *!# #!**&#. 5 )'$ /+,!#7;$ !#".;,+."<)$ E D :3''&9 %07$& 513/-,5 G 7$& 37,9&? +(22& :39 &=&2:/& %&/S  4.G4 F /  J ,,&7"2 $%%$ / 2$# 2)2 %$..%$2 #$+2"('!"$'. /$2  "'2 #$2),$$  /&) 2+.".'!)< $/ '& 7)%  7!%#$23%$.. $/ 2!* #$) 2&7''+2"('!."/ . <)!'.".+2 &) /$2 ,$2)#$2 7&'')$23 +7#".)#$ /?)'$ +(!%".+ &)    D :9(7>&9 /0567->3/&$+& %& %&7= (7 :/7'-&79' &=:9&''-($' /?)'$ "'+(!%".+ *&)# %$2<)$%%$2 %! 2)".$ /) .#!4!"% 7&'2"2.$ 5   +(22& %3$' /& +3' :39 &=&2:/& %& /3 %5,&92-$3,-($ %7 /+.$#,"'$# %$2 4!%$)#2 5 !..#"6)$# !)8 %$..#$2 *&)# <)?$%%$2 \ 2-/-&7 %& %&7= $(2)9&' ^!&,6C!b 6!! &,A  !"6   2&"$'. 4#!"$2] V V  Y($'-%59($' /&' %&7= '-,73,-($' '7->3$,&' C      P= *$'2$ )' '&,6#$3 @$ %$ ,)%."*%"$ *!# ^= Y) #+2)%.!. &6.$')   78 9.:2#$/%2- )#6.+*%;$" ',$- 3*2+#40" PQ3 @?&6."$'2 !%&#2 R3T= _)$% $2. %$ '&,6#$@$ #$.#!'7;$ M /05+(/& 5/52&$,3-9&? /05/8>& $0(:89& 67& '79 %&' $(2)9&' (7 *$'2+ ` %&' 193$%&79' &$ 2&,,3$, &$ n7>9& 7$ 93-'($$&2&$, Q= Y%"7$ $. a$#.#!'/ /"2*&2$'. 7;!7)' /?)'$ 7!%7)%!.#"7$= b%2 39-,425,-67& %3$' /&67&/ -/ :9(19&''& %7 +($$7 >&9' /0-$+($$7 !::"7;$'. )' ,M,$ '&,6#$ 2)# %$)# 7!%7)%!.#"7$= &, (H +4367& 5,3:& :&7, I,9& +($,9@/5& &$ 95.59&$+& 37 +($,&=,& *!# ^3 *)"2 !@&).$ S !)Y%"7$ ,)%."*%"$ %$ '&,6#$ !::"7;+ %& /3 '-,73,-($A T3 /3$17& $3,79&//& ; &', /& '7::(9, %7 2 !@&).$ R ":;7 +!* #3Q* ")%."*!'/3 %)",&#6 $:!"% $$%'  #+%.2) a  =) #.#$ & .!'$.6 93-'($$&2&$, &, /05+9-, &', :9-$+-:3/&2&$, 7,-/-'5 :(79 &..&+,7&9 3 ,) +.%)2& .!'$.6 =) /&' +3/+7/'? 9&$%9& +(2:,& %7 93-'($$&2&$, 7,-/-'5 &, &=:9-2&9 !) # /)!%2 "'. &$# ._$'. c&"4%$)#<)$  3%"",+'*!#$ 2?2 2 %&' 95:($'&'A Y0&', %3$' +& +($,&=,& 67& /& '-1$& %0513/-,5 &', ' /& :/7' '(7>&$, 7,-/-'5 +(22& -$%-+3,&79 %07$ +3/+7/ G 7!%7)%!.#"7$2 !::"7;$'. $8!7.$,$'. %$ ,M,$ #+2)%.!.= _)$% &..&+,7&9? +& 67- /7- +($.89& 7$& (9-&$,3,-($ 137+4& D %9(-,&? /&' &'6,.#!* 1  ` ! +;+/ ) !%2"7:: &#$L"'.  '!#3') .!&""2).-#$ #$,"%! *!'2  $)<".+,.;#" !'.,$'$&'"2 95'7/,3,' %&>3$, I,9& &=:9-25' '(7' .(92& +3$($-67& 95%7-,&?  /$ %?!7."&' 7&'/)". ",,+/"!.$,$'. 5)."%"2!'. % #+4$#2"6"%".+ ! %! 2&%)."&' E $' !@&).!'. PQ 5 R3T3 %?+%-4$ &6."$'. %$ .#"*%$ /)                                                   "  '-,73,-($' %& /3 >-& 67(,-%-&$$& (7 &$+(9& &2:97$,5&' T&' '&,6#$ *$'2+= b% %)" 2)::". !%&#2 /$ /"4"2$# %$ #+2)%.!. &6.$') 37= 37,9&' %-'+-:/-$&'? .($, 939&2&$, -$,&9>&$-9 7$& '&7/& >39-3)/& C c S *!# ^= >$ #!"2&''$,$'. 7;$,"'$ /) 7&'') 4$#2 %?"'7&'')= Nd! #$%&%'( ) *%'&+$+, ! oP +3/+7/ %& /0-2:@, :(79 7$& ,93$+4& 1!'2 %! 2$7&'/$ 2".)!."&'3 7$ 7;$,"'$,$'. '?$2. *%)2 *&22"6%$= %0-2:('-,-($ %($$5&? # S dc &$ '+-&$+&' :4;'-67&'? Z S T!/!4? >?+%-4$ 4! /$4&"# $8*%"7".$# %$ 7!%7)% $::$7.)+ *!# 7;!<)$ 3/(9' 67& /&' +(2:5,&$+&' >-'5&' &$ +3/+7/ /-,,593/ 37 ,&92& %7 +(//81& :(9,&$, :(79 /0&''&$,-&/ '79 %&' &=:9&''-($' (H -$,&9>-&$, 7$& '&7/& $':!'. 5 *!#."# /) '&,6#$ !::"7;+ !) /+*!#. 2)# %! /&,,9&A #$ ,93>3-/ '79 /&' .(927/&' 67- .($, )-&$ '(7>&$, -$,&9>&$-9 :/7'   !%$7 . " ; 7 , . ! #% ! ! . 7 + ) , # )   $ & " ) <"   % d 2 $   =7%! $ '& 3 '   ,)?/ $(!2 $/  7  $&'6,$#e  :!%%&"# /+2"('$#%" ")% !4  % $') 5 #"#)&7$# $=.#$. %07$& >39-3)/& :&92&, %05>-,&9 +&,,& >-'-($ 95%7+,9-+& %7 +3/+7/ /-,,593/A >?+%-4$ *#&/)". !"'2" )'$ +<)!."&' E ^8b KF Q8b m= d&)# $'     Collège– mathématiques – projet de document d’adccuonmupmaégrniqeumeeanutl–i t–t épraalgLe     Direction de l’enseignement scolaire – bureau du contenu des enseignements

.#&)4$# %! 2&%)."&'3 "% 4! 2&". *#&7+/$# *!# $22!"2 2)77$22":2 7!# %! 2&%)."&' $2. "7" :!7"%$,$'. !77$22"6%$3 2&". #$,*%!7$# %?+<)!."&' *!# )'$ +<)!."&' +<)"4!%$'.$ *%)2 2",*%$ 5 #+2&)/#$ $' )."%"2!'. %$2 #-(%$2 "'2.".)."&''!%"2+$2 %"!'. +(!%".+ $. &*+#!."&'2 $. $' &*+#!'. 2)# /$2 $8*#$22"&'2 /+2"('!'. /$2 [ <)!'.".+2 \ "'7&'')$2= C)# 7$2 /$)8 *&"'.23 "% 2?!(". /?)' $ #)*.)#$ !4$7 2! *#!."<)$ !'.+#"$)#$ <)?"% '$ :!). *!2 ,"'","2$#=   X9(: '(7>&$,? /&' &=&2:/&' :9(:('5' :(79 -$,9(%7-9& /3 2-'& &$ 5673,-($ '& 9328$&$, G 7$& 5673,-($ %& /3 .(92&!8b6S7  &, :&7>&$, I,9& 95'(/7' :39 /039-,425,-67& V A q($,9&9 /& .($+,-($$&2&$, %& /3 %5239+4& 3/15)9-67& '79 +& ,;:& %& :9()/82&' $& :&92&, :3' G /05/8>& %0&$ :&9+&>(-9 /3 :7-''3$+& &, /0-$,59I,A U(79 3-%&9 /&' 5/8>&' G 3++&:,&9 7$& 37,9& 3::9(+4& 67039-,425,-67& %& /3 95'(/7,-($ %& :9()/82&'? -/ &', $5+&''3-9& %& /&' +($.9($,&9 G %&' %-..-+7/,5' 67- 95>8/&$, /&' /-2-,&' %&' :9(+5%79&' %($, -/' %-':('&$,A M-$'-? :9(:('&9 7$ :9()/82& (H /0-$+($$7& 3::393W, %3$' /&' %&7= 2&2)9&' %& /05673,-($? +(22& %3$' /0&=&2:/& %0\ M/-+& &, _&9,93$% ^ 67- +($%7-, G 7$& 5673,-($ %& /3 .(92&!8b6 F 78b/3:&92&, %3$' 7$ :9&2-&9 ,&2:'? %& 2&,,9& &$ (&7>9& %&' :9(+5%79&' :39 &''3-' &, 3*7',&2&$,'A R$ .3-'3$, >39-&9 /&' $(2)9&'!3 63 7&, /3 /0(),&$,-($ %& /3 '(/7,-($ :39 +&,,& %5239+4& %&>-&$, %& :/7' &$ :/7' %-..-+-/& >(-9& -2:(''-)/&A M-$'- C U(79 3 S L?6S K?7S V &,/S m? /3 '(/7,-($ NLP &', .3+-/&2&$, 3++&''-)/& &$ :9(+5%3$, :39 &''3-' &, 3*7',&2&$,'A U(79 3 S m?6S L?7S V &,/S "F? /3 '(/7,-($ NV?KP &', &$+(9& 3++&''-)/& &$ :9(+5%3$, :39 &''3-' &, 3*7',&2&$,'? 23-' :/7' %-..-+-/&2&$,A U(79 3 S VE? 6S VV?7S E &,/S "Kl? /3 9&+4&9+4& \ G /3 23-$ ^ %& /3 '(/7,-($ NE?LFP? :39 &''3-' &, 3*7',&2&$,'? %&>-&$, :9()/523,-67&A R//& &', :(''-)/& G /03-%& %07$ ,3)/&79 G +($%-,-($ ,(7,&.(-' %& )-&$ 159&9 /&' &''3-'A K U(79 3 S ""? 6S F?7S K &,/S l? /3 '(/7,-($ N m P &', 673'-2&$, -$3++&''-)/& \ G /3 23-$ ^ 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 %& L (7 &  %&' '79 5673,-($' %& %&195 67&/+($67& 67& /&' 5/8>&' 379($, (),&$7&' G /3 '7-,& %& /3 2-'& &$ 5673,-($ %07$ :9()/82&A   T3 95'(/7,-($ 3/15)9-67& %07$ :9()/82& '& +393+,59-'& :39 C D 7$& :43'& %& 2-'& &$ 5673,-($ 67- $5+&''-,& %& 9&:59&9 7$& 193$%&79 67- >3 :(7>(-9 '0&=:9-2&9 %& %&7= .3g($' %-..59&$,&'A B3$' /0&=&2:/& %0\ M/-+& &, _&9,93$% ^? +&,,& 193$%&79 &', /& $(2)9& 670(),-&$$&$, M/-+& &, _&9,93$% '79 /&79 +3/+7/3,9-+& 37 ,&92& %7 +3/+7/A M :9(:(' %7 $(2)9& %& +399&37= 19-'5' '79 /& :(79,(79 %7 +3995? \ X9(7>&9 /& $(2)9& %& +399&37= '79 /& +@,5 %7 +3995 :(79 67& /& $(2)9& %& +399&37= 19-'5' '(-, 513/ G ""V ^ $5+&''-,& %0&=:9-2&9 /& $(2)9& %& +399&37= 19-'5' '(7' '3 .(92& $7259-67& ""V 3-$'- 67& '(7' /3 .(92& %07$& &=:9&''-($ 3/15)9-67& .3-'3$, -$,&9>&$-9 /& $(2)9&' %& +399&37= '79 /& +@,5 %7 +3995A T& ,93-,&2&$, %& /05$($+5 $5+&''-,& /& 9&':&+, %&' 981/&' %05+9-,79& 23,4523,-67&A

D 7$& :43'& %& 95'(/7,-($ %& /05673,-($ (7 %&' 5673,-($' 5+9-,&' 67- &$131& 7$ ,93-,&2&$, .(92&/ '3$' /-&$ 3>&+ /3 '-,73,-($A D 7$& :43'& %& 9&',-,7,-($ %& /3 '(/7,-($ %3$' /& +($,&=,& %7 :9()/82&A M''72&9 '7++&''->&2&$, /&' %&7= :9&2-89&' ,e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f' /"2*&2$ /?)'$ *%!<)$ /$ 7!#.&' 7!##+$ /$ Pg 7, /$ 79.+= 1!'2 7;!<)$ 7&"' /$ %! *%!<)$3 &' /+7&)*$ )' 7!##+ 7&,,$ "'/"<)+ 2)# %$ /$22"'= f' &6."$'. !%&#2 %$ *!.#&' /?)'$ 6&h.$ *!#!%%+%+*"*+/"<)$3 2!'2 7&)4$#7%$= _)$%%$ /&". M.#$ %! ,$2)#$ /) 79.+ /) 7!##+ <)$ %?&' /+7&)*$ /!'2 7;!<)$ 7&"' *&)# <)$ %$ 4&%),$ /$ %! 6&h.$ 2&". RQ 7, ^ `  

  R$ :&92&,,3$, /3 95'(/7,-($ %& ';',82&'? /07,-/-'3,-($ %07$ (7,-/ %& +3/+7/ .(92&/ 37,(9-'& /0-$,9(%7+,-($ %0-$+($$7&' 37=-/-3-9&' 67- .3+-/-,& /3 2-'& &$ 5673,-($ &, 67& '&7/ /0&=:&9,? 67- %-':('& %07$& 1322& %& :9()/82&' %& 95.59&$+&? '3-, $& :3' I,9& -$%-':&$'3)/&A 1!'2 %$ *#&6%-,$ /$ %! 6&h.$3 &' 4&". !"'2" /$2 +%-4$2 "'.#&/)"#$ %$2 4!#"!6%$2 2)"4!'.$2 E ! %! ,$2)#$ /$2 79.+2 /$2 7!##+2 /+7&)*+2 /!'2 %$2 7&"'2 e 7 %! ,$2)#$ /) 79.+ /) :&'/ /$ %! 6&h.$ e A %$ 4&%),$ /$ %! 6&h.$e $. +7#"#$ 7$..$ 2)".$ /?+<)!."&'2 *&)# #$'/#$ 7&,*.$ /) *#&6%-,$ E 7S "a f V!JAS7 V  ! ! &,AS mV     T03::9&$,-''31& %& ,&+4$-67&' %& 95'(/7,-($ %05673,-($' (7 %0-$5673,-($' '0&$ ,9(7>& &$'7-,& 2(,->5 %7 .3-, 67& /&' 5/8>&' $& %-':('&$, :3' :&9'($$&//&2&$, %07$ (7,-/ %& +3/+7/ .(92&/A Y&, 3::9&$,-''31& 328$& /3 67&',-($ %& /3 '7)',-,7,-($ %07$& 5673,-($ G 7$& 37,9& &$ 9&+(793$, C D '(-, G /0567->3/&$+& %&' 513/-,5' N!S6567->37, G!b7S6b 7&,! S6 567->37, G!7 S67 '-7 #  3767&/ aP? +3' /& 93-'($$&2&$, 2-' &$ n7>9& :&92&, %03..-92&9 67& /&' '(/7,-($' ,9(7>5&' '($, &..&+,->&2&$, '(/7,-($' %& /05673,-($ %& %5:39,A D '(-, G /0-2:/-+3,-($ N! S6 -2:/-67&! b7 S6 b7&,! S6  -2:/-67&!7 S67P? 3767&/ +3'? :(79 I,9& +(2:/&,? /& 93-'($$&2&$, $5+&''-,&? +(22& :(79 7$ :9()/82& %& +($',97+,-($? %& ,&',&9 /&' >3/&79' ,9(7>5&' :(79 %5,&92-$&9 /&' '(/7,-($' &..&+,->&' %& /05673,-($A T3 /(1-67& 67- '(7'D,&$% /&' %&7= ,;:&' %& 93-'($$&2&$, &', %-..-+-/&2&$, 3++&''-)/& 37= 5/8>&'A T3 :9&2-89& %5239+4& $& '3793-, I,9& 7,-/-'5& '3$' 67& '(-&$, 2-'&' &$ :/3+& /&' 567->3/&$+&' 3''793$, /3 +($'&9>3,-($ %& ,(7,&' /&' '(/7,-($' ->3/&$+&' 9+4& %&' 'P? :7-' ($%-,-($'

%&' 5673,-($' '7++&''->&'? &, :(79 +&/3 67& +&' 567 V                                                   3-&$, 5,5 %52($,95&'A T& :9(19322& %& +3/+7/ NY.A :393193:4& FP 67& ,93%7-, /0&=:9&''-($  C 9&+4&T3 '&+($%& %5239+4& $5+&''-,& %&7= ,&2:' ! & 8 b  '$-7, 6 &9)2$-3 ( -'$&,):37 9 & ($ %->-'& /& $( ^ & )/'-&9$> - \G C &$  &',&2,$-+&/ ,3..&&. !A 7, - - ,73  39,'7('  $ $(  r'(95   $ 6 -'  ?,&  /  & >3/&79' :(''-)/&' %&8N+($%-,-($' $5+&''3-9& :9()/82& '3$' 9&+(79-9 G 7$& 2-'& &$ 5673,-($A  N+>59-.-+3,-($ 67& /&' >3/&79' (),&$7&' +($>-&$$&$,   Collège– mathématiques – projet de document d’adccuonmupmaégrniqeumeeanut  l–it–t épraalgKe     Direction de l’enseignement scolaire – bureau du contenu des enseignements