Guia Pedagogica de Matematica para 6°

 

BYI. ONJBNOBTA EBCOX GJROCGT

5¶JTG@A

MGPBMGPOIG

Bsiubcg; Onjbnobra Eïcox Gjuocgr @aibntb; Yarog Bcozgdbth Jrg`a; 5¶ Purna; Mg÷gng Çrbg; Mgtbmçtoig Pítuca; –CAY NRMBTAY @BY@B NRBYPTG IGYG” Iantbno`as;

 

 

 

 

 

Numbrgioùn Yotugioanbs pradcbmçtoigs qub ompcoign cgs `oebrbntbs apbrgioanbs Mûctopcas y `ovosarbs Irotbroas `b `ovosodoco`g` Ergiioanbs; prapogs b omprapogs, rbprbsbntgioùn bn cg rbitg numïroig, apbrgioanbs `b sumg, rbstg, muctopcoigioùn y `ovosoùn. Mb`o`gs `b canjotu`, igpgio`g` y pbsa. Iug`rocçtbras NRMBTAY BN BC BYVGIOA

Vgrg trgdgkgr bn Iobniogs, Çcvgra onvbstojù bn Ontbrnbt iuçnta mb`ígn cas `oçmbtras `b cas pcgnbtgs.

Adsbrvg cas nûmbras qub sb vbn bn cg omgjbn. Pobnbn mçs `b ionia ioergs. Pobrrg 74.:25.666 m

Ygturna 77?.966.666 m Mgrtb 5.:85.666 m

Rrgna 27.866.666

 

Kûpotbr 704.?80.666 m

Çcvgra `bdíg ar`bngrcas sbjûn cg mb`o`g `b sus `oçmbtras, `b mbnar g mgyar, Ca gyu`gs g ar`bngrcas. Cubja bsirídbcas bn cbtrgs.

Yarog Bcozgdbth

Vçjong 7

 

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MGPBMGPOIG

VGYGN@A BC MOCCÙN : Adsbrvç cg tgdcg y bsirodí iùma sb cbbn cas nûmbras `b gdgka;

Rno`g`bs `b moccùn

Rno`g`bs `b moc

20

:66

Ioniubn bnttg y iugtra tra moccanbs

Ybt Ybtbiobnta tass moc Na Navvbiobnt bntas

Rno`g`bs sompcbs ?66 Navbiobntas

2.094.766; 50.:86.205; 8:2.526.466; ±Pb gnomçs g iampcbtgr1  7.666= 7 uno`g` `b moc

76.666= 766.666= 7.666.666= 76.666.666= 766.666.666= Gharg, ian muihg gtbnioùn, morç bc cujgr qub aiupgn cgs ioergs on`oig`gs y mgriç ca qub sb po`b bn ig`g oniosa;

9.246.0?6 ?9.:66.266 24.?96.966 7:2.966.6?6 ?46.296.666 ?29.266.466 g) Cas nûmbras iuyg ioerg 9 tobnb un vgcar `b 9.666.666. d) Cas nûmbras iuyg ioerg 2 tobnb un vgcar ojugc g 2.666.666. Yarog Bcozgdbth

Vçjong 4

 

BYI. ONJBNOBTA EBCOX GJROCGT

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MGPBMGPOIG

i) Cas nûmbras iuyg ioerg ? tobnb un vgcar ojugc g ?66.666.666. NÛMBTAY WRB PB O@BNPOEOIGN Iampcbtç bc @NO ian tus `gtas pbrsangcbs y pbjç tu eata.

Bsirodí bc nûmbra gntbroar y bc pastbroar gc `b tu @NO. Nûmbra gntbroar

Pu @NO

Nûmbra pastbroar

-----------------

-----------------

-----------------

Iacaiç, bn bstb `ogjrgmg, bc nûmbra `b tu @NO y bc `b iugtra `b cas ontbjrgntbs `b tu egmocog. @NO;QQQQQQQQQQQQQQQQ 

@NO;QQQQQQQQQQQQQQQQ 

@NO;QQQQQQQQQQQQQQQQ 

@NO;QQQQQQQQQQQQQQQQ 

tobnb ig`g una1 g) ±Iuçntgs d) ±Bn quï sbioergs pgrbibn1 i) ±Iuçc bs bc mgyar `b cas nûmbras1 `) ±_ bc mbnar1 b) ±Iuçc `b cas iugtra nûmbras tobnb cg mbnar  ioerg udoig`g bn bc ar`bn `b cas iobnbs1 ±_ iuçc tobnb cg mgyar1 e) ±Gcjuna tobnb ioergs bn bc ar`bn `b cas moccanbs1 Yo hgy gcjuna a vgroas, bsirodocas y mgriç, ian un iacar, cg ioerg qub bstç bn bsb cujgr.

iobrta qub bcioerg mgyar cas nûmbras bs bc j) qub±Bs tobnb cg mgyar bn `b bc cujgr `b cas `obz moccanbs1 h) ±Bc mbnar `b cas nûmbras bs bc qub tobnb cg mbnar ioerg bn cas unas1 o) Ar`bngcas `b mgyar g mbnar. Ybjûn bstb ar`bn, ±bn quï cujgr sb bniubntrg bc tuya1  k) ±Gcjuna tobnb un @NO ian 8 bn cas `obz moccanbs1 l) ±Pobnbn ta`as cas @NO gcjung ioerg bn iamûn bn bc mosma ar`bn1 ±Iuçc1

Adsbrvg ig`g una `b cas nûmbras `b bstas @NO y iantbstg bn tu hakg; Yarog Bcozgdbth

Vçjong 9

 

@NO;QQQQQQQQQQQQQQQQ 

BYI. ONJBNOBTA EBCOX GJROCGT

5¶JTG@A

MGPBMGPOIG

Gnatg, bn cg tgdcg, tu namdrb y tu @NO. Vgrtobn`a `b bsb nûmbra, iampcbtg bc sojuobntb iug`ra, tbnobn`a bn iubntg cg iansojng `b ig`g iacumng.

Pu namdrb y tu @NO;………………………… @NO;……………………………………………………… ……………………………………………………… ……………………………… …… @NO + 7

@NO + 76

@NO + 766

@NO + 7666

@NO + 76.666

@NO + @NO 7AA.AAA +7.666.666

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±Bn ta`gs cgs iacumngs tb igmdoù ung sacg ioerg `bc nûmbra arojongc1 @b na sbr gsí, ±bn quï iacumng tuvostb qub igmdogr mçs ioergs1 ±Var quï hgdrç so`a gsí bn ig`g igsa1

TBVGTGIOANBY @OUO@O@GY  Ian cg pcgtg rbigu`g`g par bc gcquocbr `bc jomngsoa y ian atras gharras qub tbnígn, cas pg`rbs y `orbitovas `b cg bsiubcg `bio`obran hgibr gcjungs rbegiioanbs. Vbra na cbs gcignzgdg pgrg pgjgr ta`a `b ia iant ntg` g`a, a, gs gsíí qub qub hgdc hgdcgr gran an ia iann cg bm bmpr prbs bsgg ianstruitarg y bstg cbs grmù un pcgn `b pgja.

UGCAT @B CG ADTG; $04.966. EATMG @B VGJA; $49.566 gc iantg`a y bc rbst rbstaa bn 46 iuat iuatgs gs ojugcbs. ojugcbs. ±Iuçc sbrç bc vgcar ig`g iuatg1 VOYAY @OUO@O@AY  Rna `b cas grrbjcas qub hoiobran eub panbr dgc`asanbs bn bc pgtoa rbitgnjucgr `b cg bsiubcg. Iamprgran 460 dgc`asanbs. Cas giama`gran g ca gniha `bc pgtoa bn

7: eocgs. ±Iuçntgs iacumngs iampcbtgran g ca cgrja1

RNG VONPRTOPG : Vgrg gian`oioangr cgs pgrb`bs `b ta`a bc jomngsoa nbibsotgran vgroas cotras `b ponturg. Bn tatgc

Yarog Bcozgdbth

Vçjong 0

`b

 

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iamprgran 4:9 cotras `b ponturg. Iacgdargn`a ta`as, pgrg tbrmongr ca gntbs pasodcb, utocozgran 79 cotras par `íg. ±Iuçntas `ígs tgr`gran bn tbrmongr `b pontgr1

±IAN MÛCPOVCAY A IAN @OUOYATBY1 Tbiar`gn`a gcja `b mûctopcas, iama Mgríg, Gjustín, Arnbccg y Jona. g) Bsirodb cas iugtra prombras mûctopcas pgrbs `b 9.  d) ±Bs iobrta qub 56, :6, 86 y ?6 san s an cas mûctopcas `b 2 mgyarbs qub 261 Bxpcoig iùma tb `ostb iubntg. i) Bntrb 766 y 466, ±iuçntas mûctopcas tobnb bc 7661 4- Mgriç ian ung x `an`b iarrbspan`g;

Bs `ovosodcb Var; 98

4

9

2

5

?

76

422 876 :46 Vontg bn cg jroccg cas nûmbras; @ovosodcbs par 8 4

0

8

74

75

40

48

94

04

08

20

25

50

:4

87

88

760

774

746

740

@ovosodcb par 2 2

72

40

9:

02

27

22

56

:9

86

776

720

429

026

967

286

560

:76

864

?66

 

Bsirodb Cas mûctopcas `b 4 bntrb 749 y 74? ----------------------------------------------------------------------Yarog Bcozgdbth

Vçjong 2

 

BYI. ONJBNOBTA EBCOX GJROCGT

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MGPBMGPOIG

Cas mûctopcas `b 5 bntrb 2? y 86  Bsirodb cg ergiioùn qub iarrbspan`b cubja rbprbsbntg b on`oig iugc bs prapog b omprapog.

 

7

 

4

0

 Bsirodb trbs ergiioanbs bquovgcbntbs g 7/4 cubja iacaig > a 3 sbjûn iarrbspan`g. 7 4 Tbsubcvb cgs sojuobntbs apbrgioanbs ian ergiioanbs. Cubja rbprbsbntg bc rbsuctg`a `b ig`g ung. 2  

?

 

:

 

72

 

4

 

9

 

9

 

5

+

0 5

-

0 72

*

0 :

;

9 0

 ±Iuçc `b bstgs mb`o`gs pbrmotbn o`bntoeoigr bc gcta `bc vgsa y `bc çrdac1

 

72im ’ 726m ’ 72lm ’ 7,2im

46lm ’ 6,4mm ’ 466im ’ 4.666m

 Igciucg iuçntas rbiopobntbs sb pub`bn ccbngr ian un do`ùn `b 2 cotras.

Yarog Bcozgdbth

Vçjong 5

 

BYI. ONJBNOBTA EBCOX GJROCGT

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MGPBMGPOIG

426mc

7.426mc  Mgcbng tobnb qub rbpgrtor 86 lj `b gcombnta pgrg mgsiatgs bn dacsgs pgrg vbn`br bn su tobn`g `b mgsiatgs. Yo cas rbpgrtb bn dacsgs `b 7lj, ±Iuçntgs dacsgs hgrç iama mçxoma1

Yo ca hgib bn dacsgs `b 7/4lj, ±Iuçntgs dacsgs cb sgc`rçn1

2 Iacaig bc namdrb `b ig`g iug`rocçtbra

Bntrb bstas iug`rocçtbras, ±Iuçcbs tobnbn ta`as cas çnjucas ojugcbs1

±Bn iuçcbs hgy saca un pgr `b cg`as pgrgcbcas1

Yarog Bcozgdbth

Vçjong :