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Programmes344318601034371113151179217282347387419
2020ajustés38801860103418212216340601870102385799131157196227
et430518701024066
adaptés438918701023981119161187226258
à4665187010238
la472118701021857
Polynésie479618701024182100136178218249268308
française51221870102245289131165202221252292
7929828077012851101
NOMBRES43179603071583305496938379641084
ET15747960307122250
CALCULS18837960307132287398531697808931
Au4261349014064121
cycle5721349014056106151176231
3,828134901406592
l’étude945134901403462109145203261315
des12851349014067122165
grands1475134901406199150207265308
nombres18081349014067125213271309362405
permet22381349014067122160248303339
d’en2602134901406794141199
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richir426147001403864110168193231
la682147001404093
compréhension8001470014061119206264303356414468526569594652710
de15351470014073127
notre16871470014073131168206260
système19711470014058106148184237325380
de23761470014072127
numé25281470014073130218273
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ration426159001403889118149207265
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orale13081590014070108159184239
et15721590014066102
numération16991590014069127215270308358388419477534
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et25831590014067103
de27111590014069124
mobiliser4261710014088146204229254279322377415
ses866171001404398141
propriétés1032171001405896152210249274328365418461
lors1518171001402583122163
de17061710014058112
calculs.1843171001404799124170228253296324
Les4261950014046101144
fractions595195001403776126173203234292350393
puis10131950014061119144187
les1225195001403084127
nombres13811950014058116204262300353396
décimaux18061950014058113159184272325383430
apparaissent22611950014057115173225264314339382425480538574
comme4262070014047104191279334
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nouveaux9502070014086143201251305357415463
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pour23732070014086144201240
pal26382070014085138163
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lier426219001402550105144
l’insuffisance594219001405582108166209267296326355398451509555610
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entiers,18892190014084142171202257295336364
notamment22772190014087145182234322409464522558
pour4262310014058116173212
mesurer6692310014088143186243282335374
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longueurs,1254231001403189147199257312369408449476
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aires1942231001405984122176219
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repérer2308231001404498155210249302340
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sur7292430014055112151
une9052430014069127182
demi-droite11122430014070124212237271329367423449486539
graduée.16762430014064102153210268323378405
Le21062430014059113
lien2244243001403763117175
à24442430014065
établir25342430014067103154212237262301
avec4262550014053101154201
les652255001403489132
connaissances8092550014056113171228281306349392445503549604647
acquises14812550014062109166224249292347390
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des23282550014068122165
entiers25182550014064122152182237276317
est426267001405598133
essentiel.586267001405598141196254283314369394422
Avoir10352670014064111168193232
une12942670014058115170
bonne14912670014058116174231286
compréhension18022670014049106194252290343401456514557582640698
des25272670014058112155
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lations426279001402578108138196254297
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les1017279001402984127
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entiers4262910014055113142173228266307
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dizaines,1132291001407398141192217275330373401
centaines15572910014061116174210261286344399442
de20242910014072127
chaque21762910014061119171229287342
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permet4263030014058113151239294330
de7813030014089143
les9493030014057112155
prolonger11283030014090128184209267325377431469
aux16223030014084142189
dixièmes,18363030014089115162187242330385428455
centièmes,23163030014078133191220251306394448491519
etc.426315001405591136164
Les6153150014058113156
caractéristiques7953150014059110149199246283336375400443472503561618673716
communes15363150014058115203291349407461504
entre20653150014067125160199252
le2342315001403792
système24583150014055103145181234322377
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numération5633270014066124212267305355385416474531
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le1243327001403488
système1356327001405199141177230318373
métrique17623270014088143179217242300358413
sont21993270014052110167203
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évidence.4263390014055104129187242299346401428
L’écriture879339001407291138185223248285343381435
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virgule14413390014075100139189247272327
est17933390014080123158
présentée19763390014083122175218273330366420475
comme24763390014071128216304359
une4263510014058115170
convention6213510014054111169217271328358389446504
d’écriture1150351001406593140186225250287344383436
d’une1611351001406593148206260
fraction1896351001404180130176207238296353
décimale22743510014066120167192280333358413
ou27113510014066124
d’une426363001405885141198253
somme7043630014049107194282337
de10663630014063118
fractions1209363001403978128175205236294351395
décimales.16283630014064119165190278331356411454482
Cela21343630014065120145197
permet23563630014064119157245300336
de27173630014063118
mettre4263750014088143177212250303
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jour842375001403694152190
la1057375001403588
nature11703750014067120156214252305
des15003750014068123166
nombres16913750014067125213271309363406
décimaux21213750014068123169195282335393441
et25863750014065101
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justifier426387001402684127157187216245300339
les789387001402377120
règles934387001403689141166221264
de12193870014058113
comparaison13543870014046103191249302340390416459517574
(qui1953387001403188146171
se2149387001404095
différencient2266387001405883115147199238291349395420475533569
de4263990014058113
celles5613990014047102127152207250
mises8343990014088113156211254
en11103990014055113
œuvre12463990014093151201239292
pour15613990014058116174212
les1798399001402378121
entiers)19423990014054112142172227266307340
et2305399001405591
de24193990014057112
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Le4264110014046101
calcul5524110014049101126172230255
mental8354110014088142200236287312
ou11754110014058116
en13154110014058115
ligne,1455411001402853105163217245
le1725411001402882
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posé21154110014058116159214
et2356411001405591
le2472411001402782
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sont9984230014078136194229
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construire13644230014081138196239275313371396434488
en18774230014089146
interaction.20484230014060118153207245296342373404462519547
Ain26204230014098123181
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si,42643500140436896
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mental96843500140108162220256307332
est13254350014075118153
mobilisé150343500140107165223248273299342396
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le2180435001404599
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et426447001405591
il542447001403964
peut6314470014072126184221
être8774470014069105143196
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pour14044470014072130188226
fournir16554470014047103161199257282320
un20004470014072130
ordre21554470014071110166205258
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deur4264590014058113170209
avant6604590014075123174232268
un9534590014081138
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instrumenté.14174590014049107150185224282369424482518571599
Réciproquement,20414590014083136182207265304360417475530618673730766794
le426471001402580
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instrumenté8304710014046104147182221278366421479515568
peut14234710014079133191228
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de21764710014079133
vérifier23344710014071125163188217246301339
un26984710014079137
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le1341483001404095
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mental17674830014088143201236288313
ou21054830014072130
par22604830014072125163
le2448483001404094
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posé.29761350014058116159214241
Le32421350014046101
calcul,3368135001404698123170227253280
dans36731350014058110168211
toutes3909135001403794151188242285
ses4219135001404297140
modalités,43841350014088146203256281307343397440468
contribue48771350014046103161196235260318376430
à53321350014053
la2976147001402578
connaissance30791470014050107165222275300343386439497543598
des37061470014057112155
nombres.38901470014057115203261299353396424
Ainsi,4342147001406489147190215242
même46131470014088143230285
si4923147001404672
le5020147001402883
calcul51281470014050102127174231257
mental29761590014088143200236288313
permet33141590014072127165253308344
de36831590014072127
produire38351590014072110166224282307345399
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résultats44541590014052106149206232268320356399
utiles48781590014072102133158213256
dans51591590014072125183226
différents2976171001405883115147199238291349384427
contextes34281710014055112170206259305343396439
de38921710014066121
la4038171001403386
vie4149171001405883138
quotidienne,43121710014066123181212243300326380438496551578
son49151710014052110167
ensei51071710014063121164219244
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gnement29761830014052110164252307365401
vise3401183001405177120174
néanmoins36021830014057112165223310368394451494
prioritairement4123183001405796121179218243280331356394448536591648684
l’exploration4832183001402654101147205230288326377406437495553
des29761950014058113156
nombres31571950014058116204262300353396
et3579195001405591
des36961950014057112155
propriétés3877195001405896152210248274328365418461
des43641950014058113156
opérations.45451950014058116171209260289320378436479506
Il5076195001402954
s’agit5155195001404471116168193230
d’amener2976207001405885130218273330385424
les3424207001403084127
élèves3576207001405984139188242285
à38862070014057
s’adapter3968207001404774119177229287323377415
en44082070014059117
adoptant45502070014057114172230267318376412
la4986207001403082
procé50932070014062101157203258
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dure29762190014058116154207
la3208219001401971
plus3298219001405883141184
efficace3500219001405583113143189241287342
en38612190014054112
fonction3998219001402783140187218248306364
de43802190014058113
leurs4518219001401873131169211
connaissances47472190014046103161219272297340383436493540595638
et2976231001405591
des30922310014063118161
nombres32782310014063121209267305359402
en37052310014060118
jeu.3848231001403286144172
Pour40452310014062118176214
cela,42842310014052107132185212
il4521231001403156
est46022310014061104139
indispensable4766231001403189147172215272327385428481538564618
que29762430014058116170
les31712430014047102145
élèves33412430014077102157206260303
puissent36682430014080138163206249304362398
s’appuyer4090243001406593138195253311361414453
sur45672430014065123161
suffisamment47532430014065123153182212255308395483538596632
de29762550014058113
faits3113255001403687112149192
numériques33322550014058115203258296322379437492535
mémorisés38942550014088143231289327352395450493
et4414255001405591
sur45302550014045103141
des46982550014058113156
procédures4881255001405896152199253311369407461504
automatisées29762670014053110147204292345374405448503558601
de36022670014068123
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élémentaires.4039267001406691146234288346382433458497550593621
De46852670014078133
même,48542670014088143231285313
si5192267001405479
la5296267001403689
maîtrise29762790014088141166203241266309364
des33652790014084139182
techniques35722790014064117164222279304362420475518
opératoires41152790014084142197235286322379404442496539
écrites46782790014082128167192229282325
permet50282790014085140178266321357
à29762910014053
l’élève3054291001404068115140195244298
d’obtenir33772910014073101151208245298356381420
un38212910014074132
résultat39782910014054107150208233270321357
de43602910014073128
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la4834291001404194
construc49532910014062119177220255294352398
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tion2976303001403161119177
de31783030014079134
ces33363030014068123166
techniques35273030014058111158216273298356414469512
est40643030014076119154
l’occasion4243303001404674124171217269312337395453
de47213030014079133
retravailler48793030014060113149188238286337362387413467506
les2976315001402580123
propriétés31243150014067106162219258283338374428471
de36203150014067122
la3766315001403588
numération38793150014067125213268306356386417475532
et44363150014065101
de45623150014067122
rencontrer47093150014047101159205262320356394447486
des52203150014067122165
exemples29763270014055101153240298323378421
d’algorithmes3422327001405885130155207264303328365422510565608
complexes.40553270014046104191249274329375427470498
Les29763510014046101144
problèmes3146351001405896153210235290378433476
arithmétiques3648351001405391116153211299354384414472530585628
proposés4302351001405896152210268311366409
au47373510014053111
cycle4872351001404898143168223
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per52033510014058113151
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mettent29763630014088143177212265323359
d’enrichir33603630014074101148206244270316374399437
le3822363001404296
sens39433630014059114172215
des41833630014074128171
opérations43793630014074132187225276305336394452495
déjà48993630014074128155207
abor51313630014069127185223
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dées29763750014058113167210
au32073750014053111
cycle3338375001404797142167222
235813750014055
et3657375001405591
d’en3769375001405885132190
étudier3980375001405591149206231286325
de43263750014057112
nouvelles.44593750014058116173223277302327382425453
Les49333750014046101144
procé5097375001405897153199254
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dures29763870014058116154207250
de32483870014057112
traitement3385387001403372122147184238326381438474
de38803870014058113
ces40143870014047102145
problèmes,4180387001405896152210235290378433476503
adaptées47053870014052110163220257310365408
à51353870014052
leur5212387001402277134173
structure,2976399001404379117175221258316354408435
peuvent34363990014072127184234288346381
évoluer38423990014069118175200258313351
en42183990014069127
fonction43703990014048103161208238269327385
des47803990014072127170
nombres49743990014072130218276314368411
en29764110014055113
jeu.31134110014050104162190
L’organisation3328411001406989138177227278336361404456486517575633
des39854110014081136179
calculs41894110014069121146193250276319
et45324110014078115
leur46714110014048103161199
réalisation48954110014062115168193218261314343374432490
contribuant29764230014047104161197236261319376429487523
aussi35244230014063121164207232
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la3870423001403689
représentation39834230014050103161199253296350408444495525556613671
des46794230014069124167
problèmes,48714230014068107163221246301389443486514
il2976435001402550
s’agit3051435001405179123175200237
de33134350014066120
développer34584350014066120170223248306364422477515
simultanément3998435001405176164222247284335393448536590648684
chez47074350014054112167209
les4941435001403388131
élèves5096435001406388143192246289
des29764470014058113156
aptitudes31564470014057115145176213271328383426
de36074470014062117
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et4031447001405995
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aptitudes43354470014057115145176213271328383426
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arithmétiques3604459001405391116153211299354384414472530585628
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travail4390459001403270120168219245270
sur46804590014043101139
la4844459001402073
technique4942459001403285132189247272330388443
et2976471001405591
sur30924710014043101139
le3256471001402580
sens3361471001404397155198
devant35844710014058113162213271307
se3915471001404398
nourrir40384710014058116174212250275314
l’un4377471001402552108166
l’autre).456747100140265398156192231284318345
ATTENDUS4855194017985149225299397490587659
DE11815194017988162
FIN13775194017967110208
DE16225194017988162
CYCLE18185194017977156230294368
•4825524014055
Utiliser6625524014071101132157182225280318
et1005552401405591
représenter1121552401403992150188241284339397433486525
les1670552401402680123
grands1818552401405290141199256299
nombres21425524014058116204262300353396
entiers,25635524014055113142173228266307335
des29235524014057112155
fractions3103552401403472122169200230288346389
simples,3517552401404368156214239294337364
les3906552401402580123
nombres40545524014058115203261300353396
décimaux.44755524014058112159184272325383430458
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Calculer6625656014059111137183241266321359
avec10465656014053101154201
des12725656014057112155
nombres14525656014058116204261300353396
entiers18735656014055113142173228266307
et2205565601405591
des23215656014058112155
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décimaux.29225656014058113159184272325383430458
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Résoudre6625788014060113156214271329367421
des11085788014057112155
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en17895788014054112
utilisant1926578801405888119144169212265323359
des23105788014058112155
fractions2490578801403472123169200230288346389
simples,2904578801404368156214239294337364
les3293578801402580123
nombres34415788014058116204261300353396
décimaux38625788014058113159184272325383430
et4317578801405591
le4433578801402580
calcul.4538578801404798124170228253281