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Wiskunde

Getalbegrip, optelling en aftrekking

Getalbegrip

Opvoeders afdeling

Memorandum

1.1 5

1.2 3

1.3 8

1.4 6

2.1 (39 x 27) + 496 1 549

2.2 (23 x 18) + 852 – 256 1 010

2.3 (67 + 48); 7 705 ÷ antwoord 67

2.4 3 600 ÷ 30; 82 x 10; antwoord + antwoord 940

2.5 2 934 – 816 + 905 – 205 2 818

2. Verskeie oplossings is moontlik. Daar word nie gesê dat elke syfer net een keer gebruik mag word nie.

TOETS 1

  • 13 800; 13 750
  • 24 360; 24 375

2. 300 000 + 60 000 + 8 000 + 400 + 20 + 9

  • <
  • =
  • 20 500
  • 358 490

5. ses miljoen aghonderd drie en twintigduisend vierhonderd en sewentien

6.1 1296

6.2 6

  • 40 000
  • 6 miljoen
  • 37 000
  • 149 000
  • 48; 56; 64; 72
  • 1; 2; 3; 4; 5; 6; 8; 12; 24
  • 11; 13; 17; 19

10.1 waar

  • vals
  • vals
  • 114
  • 34
  • 70

11.4 6

Leerders afdeling

Inhoud

Aktiwiteit: om te bereken deur bewerkings te kies wat geskik is om probleme op te los [lu 1.8.10]

Dit is van kardinale belang dat jy die volgende deeglik sal begryp en goed sal onthou, anders sal jy eenvoudige (en moeiliker) bewerkings nie korrek kan uitvoer nie, en dus ‘n verkeerde antwoord kry!

VOLGORDE VAN BEWERKINGS

LET OP EN LEER DIE VOLGENDE:

Die volgorde van bewerkings is:

1. Hakies

2. Van

3. Deling

4. Vermenigvuldiging

5. Optelling

6. Aftrekking

Die volgende reëls geld ook:

1. Wanneer die bewerkings dieselfde is, bv. 6 + 3 + 9 + 5 : werk van LINKS NA REGS

2. Wanneer daar slegs + en − is, bv. 6 − 3 + 2 − 4 + 9: werk van LINKS NA REGS

Dus: 6 − 3 → 3 + 2 → 5 − 4 → 1 + 9 = 10

3. Wanneer daar slegs × en is, bv. 2 × 24  4 × 10  5: werk van LINKS NA REGS

Dus: 2 × 24 → 48  4 → 12 × 10 → 120  5 = 24

1. Kyk nou of jy die voorafgaande korrek kan toepas. Werk saam met ’n maat en bereken die volgende :

1.1 f = 9 + 6 x 2 − 7 _____________________________________________

1.2 c = 7 − (18 + 2) x 5___________________________________________

1.3 k = 23 − 16 + 4 − 3___________________________________________

1.4 e = 36 x 12 x 4 x 2____________________________________________

Nou mag jy ‘n sakrekenaar gebruik, maar dit sal jou niks help, indien jy nie die volgorde van bewerkings ken nie. Blaai dus terug en kyk weer, indien jy twyfel. Kyk of jy die volgende tabel korrek kan voltooi:

Berekening Sleutelvolgorde Antwoord
Bv. 15 + 6 × 2 (6 × 2) + 15 27
2.1 496 + 39 × 27
2.2 852 + (23 × 18) − 256
2.3 7 705  (67 + 48)
2.4 3 600  30 + 82 × 10
2.5 2 934 − 816 + 905 − 205

Tyd vir portuur-assessering!

Hoe goed is jy vertroud met die laaste gedeelte van die werk wat ons afgehandel het?

Werk saam met ’n maat en verduidelik die volgende vir hom/haar. Hy/sy sal jou dan assesseer deur ‘n sirkel om die toepaslike kode te trek;

Heelte-mal onseker Bietjie seker Redelik seker Dood-seker
Ek kan verduidelik wat veelvoude is. (LU 1.3) 1 2 3 4
Ek kan verduidelik wat faktore is. (LU 1.3) 1 2 3 4
Ek kan verduidelik wat priemgetalle is. (LU 1.3) 1 2 3 4
Ek kan die konstante funksie op my sakrekenaar gebruik om veelvoude te bepaal. (LU 1.8) 1 2 3 4
Ek kan verduidelik wat ’n palindroom is. (LU 1.3) 1 2 3 4
Ek kan die eienskappe van 0 en 1 aan my maat verduidelik. (LU 1.3) 1 2 3 4
Ek ken die volgorde van bewerkings en kan dit korrek toepas. (LU 1.8) 1 2 3 4

Kopkrappers!

1. Plaas die getalle 1 tot 9 in die diagram sodat al die getalsinne waar is.

2. Plaas van die getalle 1 tot 12 in die diagram sodat die som van minstens 4 van die sye gelyk is.

Toets 1

1. Voltooi die volgende getallepatrone:

1.1 13 850 ; ________________ ; ________________ ; 13 700 ; 13 650

1.2 24 330 ; 24 345 ; ________________ ; ________________

(4)

2. Skryf in uitgebreide notasie:

2.1 368 429 = ____________ + ____________ + ___________ + ___________ +

____________ + ____________

(2)

3. Vul in:<;>of = :

3.1 489 653 * 498 653____________

3.2 10 x 10 x 10 x 10 * 100 000 x 10____________

(2)

4. Watter getal is:

4.1 350 meer as 20 150? ________________________

4.2 10 000 minder as 368 490? ______________________

(2)

5. Skryf in woorde:

6 832 419

(2)

6. Voltooi:

6.1 64 = ____________________________________

6.2 een miljoen = 1 x 10¨______________________

(2)

7. Wat is die waarde van die vetgedrukte syfer?

7.1 1 4 7 689________________________________________

7.2 6 823 417_______________________________________

(2)

8. Rond af tot die naaste 1 000:

8.1 36 842________________________________________

8.2 149 099________________________________________

(2)

9. Skryf neer:

9.1 die veelvoude van 8 tussen 40 en 80

_____________________________________________________________________

9.2 die faktore van 24

_____________________________________________________________________

9.3 die priemgetalle tussen 10 en 20

___________________________________________________________________ (6)

10. Waar of Onwaar?

10.1 42 624 is ’n palindroom _____________________________

10.2 1 is ’n priemgetal ________________________________

10.3 36 x 0 = 0________________________________________

(3)

11. Bereken:

11.1 90 + 6 x 12 x 3__________________________________

11.2 36 − (5 x 4) x 10_________________________________

11.3 80 − 6 + 4 − 13 + 5_____________________________

11.4 8 x 5 x 8 x 6 x 5_________________________________

(8)

Ek het _______________________________ uit 35 !!

Kleur in: Ek voel

BAIE TEVREDE
GELUKKIG
BEKOMMERD
EK IS TOT BETER IN STAAT

Assessering

Leeruitkomste 1: Die leerder is in staat om getalle en hul verwantskappe te herken, te beskryf en voor te stel. Hulle kan ook met bekwaamheid en vertroue tel, skat, bereken en kontroleer tydens die oplos van probleme.

Assesseringstandaard 1.8: Dit is duidelik wanneer die leerder skat en bereken deur geskikte bewerkings vir die oplossing van probleme in verband met die volgende te kies en te gebruik:

1.8.10: eenvoudige bewerkings met heelgetalle met of sonder hakies.

Questions & Answers

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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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