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Fraccionem l’esmorzar
Escola Pere Sarret
Curs 2013-14


Tres alumnes comprem esmorzar: dos
paquets de galetes i una tauleta de
xocolata.

El problema
Quant ha costat l’esmorzar?
 Quant haurà de pagar cadascú?
 Quantes galetes i quanta xocolata tindrem
per cadascú?
 Quina fracció representa el que li toca a
cada alumne?


Qüestions
Calculem el preu: fàcil, una suma!!
Algú ja és capaç de fer-la mentalment, però
l’hem de representar matemàticament:


0’90+0’90+1’00= 2,80€

90+90 és 180, per tant 1’80
1’80 +1 =2’80€

Sumem


Vigileu, això no val!

90+90+1 no és igual a 2’80!!
Però això sí: 90+90+100= 280cèntims
 I 280 cèntims = 2’80€


Altres representacions
Quina operació hem d’aplicar?
 Busquem 1/3 de 2’80€
 És el mateix que dividir 2’80 entre 3.
 ... Però... I cóm?!!!


Quant paga cadascú?
Utilitzem monedes
2’80/3= ??????... Posem ordre...
Posem una mica d’ordre...
 Com que no podem partir una moneda de
dos euros, la descomposem en monedes
més petites.
2€=0’50+0’50+0’50+0’50


Descomposar ens ajuda a repartir


La mestra escriu a la graella el que
nosaltres fem amb les monedes:
Tinc...

N’agafo...

Dóno... a cada
nen/a

En total...

2,80

1,50

0,50

0,50

L’algoritme
Tinc:

N’agafo:

Dóno... a
cada
nen/a

En total,
cadascú
en té:

2,80

1,50

0,50

0,50

1,30

0,60

0,20

0,70

0,70

0,30

0,10

0,80

0,40

0,30

0,10

0,90

0,10

0,06

0,02

0,91

0,04

0,03

0,01

0,93

R=0,01
 Cada nen haurà de pagar 0’93€

Repartim...


Quantes galetes per cadascú?

Fraccionem les galetes?
1/3 de 34 galetes és...11
(ens en sobra 1)
Si la trenquem a trossets...
Tindrem nombres decimals: 11’3...


La unitat (1) és la tableta sencera.

Ara la xocolata!!!
La podem fraccionar en 35 peces.
 O bé en 7 columnes de 5 peces.
 O bé en 5 files de 7 peces.
 O bé… Hi ha més possiblitats?


Fraccionem la unitat.
Representem-ho
Bea Pont
 Gerard Rubió
 Laia Campà


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Fraccionem l’esmorzar

  • 2.  Tres alumnes comprem esmorzar: dos paquets de galetes i una tauleta de xocolata. El problema
  • 3. Quant ha costat l’esmorzar?  Quant haurà de pagar cadascú?  Quantes galetes i quanta xocolata tindrem per cadascú?  Quina fracció representa el que li toca a cada alumne?  Qüestions
  • 4. Calculem el preu: fàcil, una suma!! Algú ja és capaç de fer-la mentalment, però l’hem de representar matemàticament:  0’90+0’90+1’00= 2,80€ 90+90 és 180, per tant 1’80 1’80 +1 =2’80€ Sumem
  • 5.  Vigileu, això no val! 90+90+1 no és igual a 2’80!! Però això sí: 90+90+100= 280cèntims  I 280 cèntims = 2’80€  Altres representacions
  • 6. Quina operació hem d’aplicar?  Busquem 1/3 de 2’80€  És el mateix que dividir 2’80 entre 3.  ... Però... I cóm?!!!  Quant paga cadascú?
  • 9. Posem una mica d’ordre...  Com que no podem partir una moneda de dos euros, la descomposem en monedes més petites. 2€=0’50+0’50+0’50+0’50  Descomposar ens ajuda a repartir
  • 10.  La mestra escriu a la graella el que nosaltres fem amb les monedes: Tinc... N’agafo... Dóno... a cada nen/a En total... 2,80 1,50 0,50 0,50 L’algoritme
  • 11. Tinc: N’agafo: Dóno... a cada nen/a En total, cadascú en té: 2,80 1,50 0,50 0,50 1,30 0,60 0,20 0,70 0,70 0,30 0,10 0,80 0,40 0,30 0,10 0,90 0,10 0,06 0,02 0,91 0,04 0,03 0,01 0,93 R=0,01  Cada nen haurà de pagar 0’93€ Repartim...
  • 12.  Quantes galetes per cadascú? Fraccionem les galetes?
  • 13. 1/3 de 34 galetes és...11 (ens en sobra 1)
  • 14. Si la trenquem a trossets... Tindrem nombres decimals: 11’3...
  • 15.  La unitat (1) és la tableta sencera. Ara la xocolata!!!
  • 16. La podem fraccionar en 35 peces.  O bé en 7 columnes de 5 peces.  O bé en 5 files de 7 peces.  O bé… Hi ha més possiblitats?  Fraccionem la unitat.
  • 18. Bea Pont  Gerard Rubió  Laia Campà 