Skip to content Skip to navigation Skip to collection information

OpenStax-CNX

You are here: Home » Content » Wiskunde Graad 7 » Oppervlakte / Area

Navigation

Table of Contents

Lenses

What is a lens?

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.

This content is ...

In these lenses

  • 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

    Click the "GETSenPhaseMaths" link to see all content selected in this lens.

    Click the tag icon tag icon to display tags associated with this content.

Recently Viewed

This feature requires Javascript to be enabled.

Tags

(What is a tag?)

These tags come from the endorsement, affiliation, and other lenses that include this content.
 

Oppervlakte / Area

Module by: Siyavula Uploaders. E-mail the author

WISKUNDE

Omtrek, Oppervlakte en Volume

OPVOEDERS AFDELING

Memorandum

a)

(i) 9

(ii) 13

(iii) 16

b)

(i) 9 cm

(ii) 13 cm

(iii) 16 cm

  • oppervlakte van vierkant = lengte

8.

a) 28 m; 45 m2

b) 6 cm

c) 4 km; 24 km

d) 7 cm; 28 cm2

e) 11 m; 11 m

9.2

a) 15 000; 1.5

b) 37 500; 3,75

c) 24 000; 2,4

9.3

a) 15 000 000; 15

b) 9 000 000; 9

c) 37 500 000; 37,5

LEERDERS AFDELING

Inhoud

AKTIWITEIT: Oppervlakte / Area [LO 4.2, LO 2.5, LO 2.3]

6. OPPERVLAKTE / AREA

6.1 BELANGRIK om te WEET!

Die oppervlakte (of area) van ’n figuur is die grootte van die plat vlak wat ingesluit word deur die buitelyne van ’n figuur. As jy bv. met jou hand oor hierdie hele bladsy vee, het jy aan die hele oppervlakte van die bladsy gevat. As jy ’n muur verf, noem ons die hoeveelheid ruimte wat jy geverf het, die oppervlakte / area.

6.2 Ook BELANGRIK om te ONTHOU!

Oppervlakte word uitgedruk in vierkante eenhede, bv. vierkante sentimeter (cm²) of vierkante meter (m²).

6.3 Memoriseer die volgende:

1 cm² = 10 mm x 10 mm = 100 mm²

1 m² = 100 cm x 100 cm = 10 000 cm²

1 km² = 1 000 m x 1 000 m = 1 000 000 m²

6.4 Vra jou opvoeder om die volgende bladsy te fotostateer of trek dit net so af.

Figure 1
Figure 1 (graphics1.png)

a) Sny die vierkantjies uit en kyk hoeveel van hulle in die volgende figure sal inpas.

Figure 2
Figure 2 (graphics2.png)
(i)

__________________________________

Figure 3
Figure 3 (graphics3.png)
(ii)

__________________________________

Figure 4
Figure 4 (graphics4.png)
(iii)

__________________________________

b) Wat is die oppervlakte van :

figuur (i)? __________________________________

figuur (ii)? _________________________________

figuur (iii)? _________________________________

6.5.1 Daar is ’n vinniger manier om die oppervlakte van figure te bereken!

Ons kan formules gebruik,

bv. Reghoek = lengte × breedte

= 5 x 2

= 10 cm²

6.5.2 Kan jy ’n formule neerskryf om die oppervlakte van ’n vierkant te bepaal?

_____________________________________________________________________

7. Kan jy twee verskillende reghoeke teken met ’n oppervlakte van 48 cm²?

8. Werk saam met ’n maat en voltooi die volgende tabel:

Table 1
  Lengte Breedte Omtrek Oppervlakte
Bv. 5 cm 3 cm 16 cm 15 cm²
a) 9 m 5 m ________ ________
b) 6 cm ________ 24 cm 36 cm²
c) 8 km ________ ________ 32 km2
d) ________ 4 cm 22 cm ________
e) ________ ________ 44 m 121 m²

9.1 Het jy geweet?

Die oppervlakte van plase word in hektaar (ha) gemeet.

1 ha = 100 m x 100 m

= 10 000 m²

9.2 Gebruik jou sakrekenaar en voltooi die volgende tabel:

Table 2
  Lengtem Breedtem Oppervlaktem² Hektaarha
Bv. 100 100 10 000 1
a) 150 100 ___________ ___________
b) 250 150 ___________ ___________
c) 120 200 ___________ ___________

9.3 Voltooi ook die volgende met behulp van jou sakrekenaar:

Table 3
  Lengtem Breedtem Oppervlaktem² Oppervlaktekm²
Bv. 2 000 500 1 000 000 1
a) 5 000 3 000 ___________ ___________
b) 1 500 600 ___________ ___________
c) 7 500 5 000 ___________ ___________

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;

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 2.3: Dit is duidelik wanneer die leerder voorstellings maak van en verwantskappe tussen veranderlikes gebruik sodat inset- en/of uitsetwaardes op ‘n verskeidenheid maniere bepaal kan word;

Assesseringstandaard 2.5: Dit is duidelik wanneer die leerder getalsinne oplos of voltooi deur inspeksie of deur ‘n proses van probeer en verbeter, en die oplossings deur vervanging kontroleer (bv. 2 x - 8 = 4).

Collection Navigation

Content actions

Download:

Collection as:

EPUB (?)

What is an EPUB file?

EPUB is an electronic book format that can be read on a variety of mobile devices.

Downloading to a reading device

For detailed instructions on how to download this content's EPUB to your specific device, click the "(?)" link.

| More downloads ...

Module as:

PDF | More downloads ...

Add:

Collection to:

My Favorites (?)

'My Favorites' is a special kind of lens which you can use to bookmark modules and collections. 'My Favorites' can only be seen by you, and collections saved in 'My Favorites' can remember the last module you were on. You need an account to use 'My Favorites'.

| 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

Module to:

My Favorites (?)

'My Favorites' is a special kind of lens which you can use to bookmark modules and collections. 'My Favorites' can only be seen by you, and collections saved in 'My Favorites' can remember the last module you were on. You need an account to use 'My Favorites'.

| 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