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Wiskunde

Meting en tyd

Lengte

Opvoeders afdeling

Memorandum

1.1 K-S 50 km

S-C 60 km

C-S 70 km

S-H 70 km

H-R 20 km

R-M 35 km

1.2 ± 275 km

275 km ÷ 9 km = 30,35 = ± 30,5 ℓ

1.3 30,5 × R 5,80 = R 176,90

1.4 1 350 ÷ 100 = 13,5

13,5 × 140 = 1 890

= 1 890 treë

Leerders afdeling

Inhoud

Aktiwiteit: om probleme in konteks op te los [lu 1.6.1, lu 1.6.2]

Om getalsinne te skryf om probleem-situasies te beskryf [lu 2.4]

1. Vir die volgende aktiwiteit kan jy ‘n maat kies om mee saam te werk. Lees die volgende probleme en los hulle op. Skryf netjiese getalsinne met duidelike bewerkings. Onthou jul eenhede!

1.1 Bestudeer die kaart met skaal en jou liniaal en bepaal die afstande tussen die verskillende dorpe / stede.

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1.2 Wat is die totale afstand (volgens jul meting) van die reis tussen Kaapstad en Mosselbaai?

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Indien die motor se brandstofverbruik 9 km / ℓ is, hoeveel liter brandstof is vir die totale afstand nodig?

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1.3 Gebruik nou hierdie antwoorde en bereken wat die brandstof vir die reis gaan kos, indien brandstof tans R5,80 per liter kos.

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1.4 ‘n Dogter moet 140 treë gee om ‘n afstand van 100 m te stap. Sy woon 1,350 km van die skool af. Hoeveel treë sal sy moet gee om die afstand te dek?

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1.5 Verduidelik aan die res van die klas hoe julle groep die antwoorde bereken het.

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1.6 Vergelyk jou metodes. Hoe verskil hulle van mekaar en waar stem hul ooreen?

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Beoordeel jul werk op ‘n skaal van 1 tot 4 deur die toepaslike syfer te omkring:

1 = glad nie

2 = net ‘n bietjie

3 = goed

4 = uitstekend

KRITERIA KODE
Ek en my maat het lekker saamgewerk. 1 2 3 4
Ons het na mekaar geluister. 1 2 3 4
Ons het al die vrae beantwoord. 1 2 3 4
Ons het netjies gewerk. 1 2 3 4
Ons antwoorde was korrek. 1 2 3 4

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 1.6: Dit is duidelik wanneer die leerder probleme oplos in konteks, insluitend kontekste wat gebruik kan word om ‘n bewustheid van ander leerareas, asook van menseregte-, sosiale, ekonomiese en omgewingskwessies, te bevorder soos:

1.6.1: finansiële kontekste;

1.6.2: meting in konteks van Natuurwetenskappe en Tegnologie;

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 2.4: Dit is duidelik wanneer die leerder getalsinne skryf om ‘n probleemsituasie te beskryf, insluitend probleme binne kontekste wat gebruik kan word om ‘n bewustheid van menseregte-, sosiale, ekonomiese, kulturele en omgewingsake te bevorder.

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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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