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Wiskunde

Gewone breuke en desimale breuke

Desimale breuke

Opvoeders afdeling

Memorandum

INLEIDING

Daar is 5 modules:

1. Getalbegrip, Optelling en Aftrekking

2. Vermenigvuldiging en Deling

3. Breuke en Desimale Breuke

4. Meting en Tyd

5. Meetkunde; Datahantering en Waarskynlikheid

4 Dit is belangrik dat opvoeders die modules in volgorde (soos hierbo genoem) sal doen, aangesien die leerders die vorige module se kennis en vaardighede benodig vir die daaropvolgende module.

3. GEWONE EN DESIMALE BREUKE (LU 1; 2 EN 5)

LEEREENHEID 1 FOKUS OP GEWONE BREUKE

  • Hierdie module is ‘n voortsetting van die werk wat in graad 5 gedoen is. Daar word uitgebrei op die optelling en aftrekking van breuke, en die berekening van ‘n breuk van ‘n sekere hoeveelheid word ook hersien.
  • Maak seker dat die leerders die korrekte terminologie bemeester het, asook die korrekte strategieë om bogenoemde korrek te bereken.
  • Kritieke Uitkoms 5 (Effektiewe kommunikasie deur visuele, simboliese, en/of taalvaardighede op verskillende maniere te gebruik) is hier van toepassing.
  • 3 weke behoort voldoende te wees om hierdie module te voltooi.
  • ** Aktiwiteit 17 is ‘n taak vir die portefeulje. Hoewel dit ‘n baie eenvoudige opdrag is, moet leerders in staat wees om dit netjies en akkuraat uit te voer. Leerders moet voor die tyd weet hoe opvoeders die taak gaan assesseer.

LEEREENHEID 2 FOKUS OP DESIMALE BREUKE

  • Hierdie module is ‘n uitbreiding op werk wat in graad 5 afgehandel is. Leerders moet nou in staat wees om desimale breuke korrek af te rond tot die naaste tiende, honderdste en duisendste. Beklemtoon weer die korrekte metode om op te tel en af te trek (vertikaal). Gee ook baie aandag aan die vermenigvuldiging en deling van desimale breuke.
  • Aangesien leerders laasgenoemde nogal moeiliker vind, kan 3 - 4 weke aan dié module spandeer word.
  • ** Aktiwiteit 19 is ‘n taak vir die portefeulje. Die opdrag is baie eenvoudig, maar leerders moet in staat wees om dit netjies en akkuraat uit te voer. Leerders moet voor die tyd weet hoe opvoeders die taak gaan assesseer.

1.2 a) 6,4

b) 2,6

c) 1

d) 5,3

e) 4,3

f) 3,9

1.3 duisendstes

honderdste honderdste

1.4 0,261 = 0,26

0,935 = 0,94

3,478 = 3,48

0,955 = 0,96

4,227 = 4,23

2,132 = 2,13

KOPKRAPPERS

1.5 a) 4,263

b) 5,145

c) 2,512

d) 6,329

e) 1,835

f) 3,490

Leerders afdeling

Inhoud

Aktiwiteit: om desimale getalle af te rond [lu 1.10.4]

AFRONDING:

1. Kyk goed na hierdie koerantopskrifte:

Al hierdie getalle is afgerond. Kom ons kyk hoe ons desimale getalle kan afrond!

1.1 Werk saam met ‘n maat deur die volgende vloeidiagram. Maak seker dat julle dit verstaan. Verduidelik dit dan vir die res van die klas.

1.2 Rond die volgende af tot een plek na die desimale komma (een tiende):

  1. 6,39
  2. 2,64
  3. 0,99
  4. 5,329
  5. 4,261
  6. 3,883

1.3 Werk saam met ‘n maat en kyk of julle die ontbrekende woorde kan invul!

1.4 Rond die volgende af tot die naaste honderdste (twee plekke na die desimale komma) en verbind dan elkeen met sy afgeronde maat.

Bv.

1.5. KOPKRAPPER!

Kan jy die volgende afrond tot die naaste duisendste? (drie plekke na die desimale komma)

  1. 4,2634
  2. 5,1447
  3. 2,5121
  4. 6,3286
  5. 1,8353
  6. 3,4895

Assessering

Leeruitkomste 1: Die leerder is in staat om getalle en die verwantskappe daarvan te herken, te beskryf en voor te stel, en om tydens probleemoplossing bevoeg en met selfvertroue te tel, te skat, te bereken en te kontroleer.

Assesseringstandaard 1.10: ‘n verskeidenheid tegnieke gebruik om sowel skriftelike as hoofberekeninge met heelgetalle te doen, insluitend:

1.10.4 afronding en kompensering.

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Source:  OpenStax, Wiskunde graad 6. OpenStax CNX. Sep 15, 2009 Download for free at http://cnx.org/content/col11072/1.1
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