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Wiskunde

Getalbegrip, optelling en aftrekking

Optelling

Opvoeders afdeling

Memorandum

1.1 Aantel

1.2 Haal elke keer 11 400 uit en tel res by

1.3 Hou 1000e, 100e, 10e en ene apart en tel op

1.4 Aantel: eers 10 000e, dan 1 000e, dan 100e, dan 10e en dan ene

1.5 Self-verduidelikend

1.6 Oordra-metode

2. Eie antwoord

3.2 Kort optelmetode sonder hulpsyfers

3.3

a) 83 320

b) 105 935

Leerders afdeling

Inhoud

Aktiwiteit: om die gelykwaardigheid en geldigheid van verskillende voorstellings te bepaal [lu 2.6]

Om strategieë te gebruik om oplossings te kontroleer [lu 1.11]

1. By Aktiwiteit 6 het julle jul eie tegnieke en strategieë gebruik om die probleme op te los. In jul terugvoering aan die klas het jul seker gesien dat daar talle maniere is waarop ons getalle bymekaar kan tel. Verdeel in ses groepe. Elke groep moet een van die volgende metodes bespreek en verduidelik hoe die antwoord bereken is.

HET JY GEWEET?

  • Daar is nog talle ander maniere waarop ons getalle bymekaar kan tel. Verdeel in 6 groepe. Elke groep moet een van die volgende metodes bespreek en verduidelik hoe die antwoord bereken is.

1.1 Ek bereken 11 468 + 23 957 so:

11 468 + 20 000 → 31 468 + 3 000 → 34 468 + 900

35 368 + 50 → 35 418 + 7 = 35 425

1.2 Ek verkies om die antwoord so te bereken:

11 468 + 23 957

= (11 400 + 11 400) + (68 + 12 557)

= (11 400 + 11 400 + 11 400) + (68 + 1 157)

= 34 200 + 1 225

= 35 425

1.3 Kyk mooi. Ek doen dit so:

1.4 My optelmetode lyk so:

11 468 + 23 957 =

10 000 + 20 000 → 30 000 + 1 000 + 3 000

34 000 + 400 + 900 → 35 300 + 60 + 50

35 410 + 8 + 7 = 35 425

1.5 Ek werk so:

1.6 Vir my is dit die maklikste om dit so neer te skryf:

11 468 + 23 957:

2. Watter metode is vir jou die maklikste? Motiveer jou antwoord.

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3. Werk nou saam met ‘n maat en kyk goed na die volgende metode:

3.2 Verduidelik die metode vir ‘n ander maat.

3.3 Gebruik nou hierdie metode en bereken die som van die volgende:

a) 35 691 + 47 629

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b) 82 179 + 23 756

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Selfassessering

Kom ons kyk hoe het jy gevaar.

Merk die toepaslike blokkie:

Ek verstaan al die metodes. die meeste van die metodes. **net een of twee van die metodes.

** Vra jou groeplede / opvoeder om dit weer vir jou te verduidelik.

Kopkrapper

Werk in groepe van vier. Kan julle aan nog enige ANDER metodes dink om die som van 11 468 + 23 957 te bereken?

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 1.11: Dit is duidelik wanneer die leerder ‘n verskeidenheid strategieë gebruik om oplossings te kontroleer en die redelikheid van oplossings te beoordeel.

Leeruitkomste 2: Die leerder is in staat om patrone en verwantskappe te herken, te beskryf en voor te stel en probleme op te los deur algebraïese taal en vaardighede te gebruik.

Assesseringstandaard 2.6: Dit is duidelik wanneer die leerder bepaal, deur bespreking en vergelyking, die ekwivalensie van verskillende beskrywings van dieselfde verwantskap of reël wat soos volg voorgestel word:

2.6.1 woordeliks;

2.6.2 in vloeidiagramme;

2.6.3 met getalsinne.

Questions & Answers

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s. Reply
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s.
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Yeah, it is a pain to say the least. You basically have to heat the substarte up to around 1000 degrees celcius then pass phosphene gas over top of it, which is explosive and toxic by the way, under very low pressure.
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of graphene you mean?
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Graphene has a hexagonal structure
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I start with an easy one. carbon nanotubes woven into a long filament like a string
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AMJAD
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Victor Reply
Yes, Nanotechnology has a very fast field of applications and their is always something new to do with it...
Himanshu Reply
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AMJAD
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AMJAD
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In this morden time nanotechnology used in many field . 1-Electronics-manufacturad IC ,RAM,MRAM,solar panel etc 2-Helth and Medical-Nanomedicine,Drug Dilivery for cancer treatment etc 3- Atomobile -MEMS, Coating on car etc. and may other field for details you can check at Google
Azam
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after 100 year this will be not nanotechnology maybe this technology name will be change . maybe aftet 100 year . we work on electron lable practically about its properties and behaviour by the different instruments
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Source:  OpenStax, Wiskunde graad 5. OpenStax CNX. Sep 07, 2009 Download for free at http://cnx.org/content/col10993/1.1
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