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MA.1

Dumber e variabla

B

Perscrutar ed argumentar

2

Las scolaras ed ils scolars san explitgar, controllar, motivar deposiziuns, presumziuns e resultats davart dumbers e variablas.

renviaments

AS

MA.1.B.2

Las scolaras ed ils scolars ...

1

a

  • san verifitgar deposiziuns davart quantitads e posiziuns da dumbers cun material concret (p.ex. ina tur cun 3 blocs è pli auta ch'ina tur cun 2 blocs).

b

  • san controllar summas e differenzas cun material illustrativ.

c

  • san controllar products cun ina summa (p.ex. 3 · 4 = 4 + 4 + 4).
  • san controllar differenzas cun l'operaziun inversa (p.ex. 27 - 6 = 21 → 21 + 6 = 27).

d

  • san controllar quozients cun l'operaziun inversa (p.ex. 21 : 3 = 7 → 7 · 3 = 21).

2

e

  • san motivar divisiuns cun rest cun l'operaziun inversa (p.ex. 32 : 6 dat rest, perquai che 32 n'è betg in dumber da la seria da 6).
orientierungspunkt


f

  • san controllar resultats cun ina calculaziun a bun stim.
  • san perscrutar e motivar quantas cifras ch'in product u in quozient ha.

g

  • san controllar resultats d'operaziuns da basa cun simplifitgar (p.ex. 8 · 13 = 4 · 26 = 2 · 52), cun decumponer (p.ex. 17.8 + 23.5 = 17 + 3 + 20 + 1.3) u cun operaziuns inversas.

h

  • san perscrutar, motivar u refutar deposiziuns davart regularitads aritmeticas (p.ex. ina summa spèra resulta da l'adiziun d'in dumber pèr cun in dumber spèr; ils products da quatter dumbers consecutivs èn divisibels cun 24).
  • san perscrutar e motivar quantas cifras che suondan suenter la comma, sch'ins multiplitgescha u divida dumbers decimals (p.ex. cun il calculatur).

3

i

  • amplificaziun: san verifitgar transfurmaziuns d'equivalenza cun quints da controlla.
orientierungspunkt


j

  • san controllar deposiziuns algebraicas cun inserir dumbers (p.ex. a³ + 5a è divisibel cun 6: 4³ + 5⋅4 = 84 → 84 : 6 = 14;; 2⁶ = (2²)³ = 2²˙³ = 4³; 2⁸ = 4⁴; 3⁴ = 9²).

k

  • san motivar resultats cun generalisar (p.ex. il dumber quadrat d'in dumber è per 1 pli grond ch'il product dals dumbers vischins: 4 · 4 -1 = 3 · 5 → a² - 1 = (a - 1)(a + 1)).
  • san controllar transfurmaziuns da terms e d'equivalenza.