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  • GETSenPhaseMaths display tagshide tags

    This module and collection are included inLens: Siyavula: Mathematics (Gr. 7-9)
    By: Siyavula

    Module Review Status: In Review
    Collection Review Status: In Review

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Area (Kopkrapper)

Module by: Siyavula Uploaders. E-mail the author

WISKUNDE

Omtrek, Oppervlakte en Volume

OPVOEDERS AFDELING

Memorandum

10.

a) Ja, oppervlakte van al 3 figure dieselfde

b) oppervlakte = (helfte x basis) x hoogte

11.1 1 867 km²

11.2 530 m²

11.3 9 m by 8 m

12.

13.1

a) 3 en ‘n kwart vierkante cm

b) 5 vierkante cm

13.2 A

14.1

a) 64 cm²

b) 180 cm²

c) 81 m²

d) 200 m²

14.2

a) 42 m²

b) 48 cm²

c) 65 cm²

d) 64 m²

LEERDERS AFDELING

Inhoud

AKTIWITEIT: Area (Kopkrapper) [LO 4.2, LO 1.9, LO 4.5]

10. KOPKRAPPER!

’n Boer verdeel sy grond soos volg tussen sy drie kinders:

Figuur 1
Figuur 1 (graphics1.png)

a) Was die boer regverdig? __________________________ Motiveer jou antwoord:

_____________________________________________________________________

_____________________________________________________________________

b) Kan jy hieruit ’n formule neerskryf om die oppervlakte van ’n driehoek te bereken?

_____________________________________________________________________

11.1 Bereken die oppervlakte van die boer se plaas sonder die dam.

Figuur 2
Figuur 2 (graphics2.png)

_____________________________________________________________________

_____________________________________________________________________

_____________________________________________________________________

_____________________________________________________________________

11.2 Wat is die oppervlakte van dié lusernkamp op die boer se plaas?

Figuur 3
Figuur 3 (graphics3.png)

_____________________________________________________________________

_____________________________________________________________________

_____________________________________________________________________

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11.3 As die boer ’n reghoekige kamp met ’n oppervlakte van 72 m2 wil bou, maar die omtrek moet die minimum wees (vir die lengte van die draad), wat moet die afmetings van die kamp wees?

_____________________________________________________________________

12. ’n Reghoekige rugbyveld het ’n lengte van 110 m en ’n breedte van 60 m. Wat sal dit kos om gras te plant teen R6,45 per vierkante meter?

_____________________________________________________________________

_____________________________________________________________________

_____________________________________________________________________

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13.1 As elke vierkant 1 cm2 is, wat is die oppervlakte van die ingekleurde deel?

Figuur 4
Figuur 4 (graphics4.png)
a)

_____________________________________

b)

Figuur 5
Figuur 5 (graphics5.png)

_____________________________________

13.2 Watter figuur het die grootste oppervlakte: A of B?

Figuur 6
Figuur 6 (graphics6.png)
A

_____________________________________

Figuur 7
Figuur 7 (graphics7.png)
B

_____________________________________

14. KOPKRAPPERS!

  • Werk saam met ’n maat.

14.1 Kan julle die oppervlakte van die ingekleurde dele van elke figuur bepaal?

Figuur 8
Figuur 8 (graphics8.png)
a)

_____________________________________

_____________________________________

_____________________________________

Figuur 9
Figuur 9 (graphics9.png)
b)

_____________________________________

_____________________________________

_____________________________________

c)

Figuur 10
Figuur 10 (graphics10.png)

_____________________________________

_____________________________________

_____________________________________

d)

Figuur 11
Figuur 11 (graphics11.png)

_____________________________________

_____________________________________

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14.2 Bereken die oppervlakte van die volgende figure:

a)

Figuur 12
Figuur 12 (graphics12.png)

_____________________________________

_____________________________________

_____________________________________

_____________________________________

Figuur 13
Figuur 13 (graphics13.png)
b)

_____________________________________

_____________________________________

_____________________________________

_____________________________________

Figuur 14
Figuur 14 (graphics14.png)
c)

_____________________________________

_____________________________________

_____________________________________

_____________________________________

Figuur 15
Figuur 15 (graphics15.png)
d)

_____________________________________

_____________________________________

_____________________________________

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15. KLASBESPREKING

  • Kom ons gesels as ’n klas oor die volgende:

15.1 Jul skool wil ’n nuwe rekenaarlokaal oprig. Die twee planne wat voorgelê is, lyk so:

A

Figuur 16
Figuur 16 (graphics16.png)

Figuur 17
Figuur 17 (graphics17.png)
B

  • Bespreek:

a) Vir watter plan is die meeste bakstene nodig? Hoekom?

b) Watter plan sal die meeste rekenaars kan huisves? Motiveer.

c) Watter plan sal die duurste wees om te bou? Hoekom?

15.2 ’n Plan is ook vir ’n swembad vir die skool ingedien:

Figuur 18
Figuur 18 (graphics18.png)

a) Wat sal met die oppervlakte gebeur as die omtrek dieselfde bly, maar:

(i) die lengte vermeerder en die breedte verminder?

(ii) die lengte verminder en die breedte vermeerder?

b) Wanneer sal die swembad ’n maksimum oppervlakte hê?

Assessering

Leeruitkomste 4:Die leerder is in staat om gepaste meeteenhede, instrumente en formules in ‘n verskeidenheid kontekste te gebruik.

Assesseringstandaard 4.2: Dit is duidelik wanneer die leerder probleme oplos;

Assesseringstandaard 4.5: Dit is duidelik wanneer die leerder berekenings doen deur die geskikte formules te gebruik;

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 1.9: Dit is duidelik wanneer die leerder berekenings doen deur die geskikte formules te gebruik.

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Definition of a lens

Lenses

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| A lens I own (?)

Definition of a lens

Lenses

A lens is a custom view of the content in the repository. You can think of it as a fancy kind of list that will let you see content through the eyes of organizations and people you trust.

What is in a lens?

Lens makers point to materials (modules and collections), creating a guide that includes their own comments and descriptive tags about the content.

Who can create a lens?

Any individual member, a community, or a respected organization.

What are tags? tag icon

Tags are descriptors added by lens makers to help label content, attaching a vocabulary that is meaningful in the context of the lens.

| External bookmarks