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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 m 2

b) 6 cm

c) 4 km; 24 km

d) 7 cm; 28 cm 2

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.

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

(i)

__________________________________

(ii)

__________________________________

(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 cm ² ?

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

Lengte Breedte Omtrek Oppervlakte
Bv. 5 cm 3 cm 16 cm 15 cm ²
a) 9 m 5 m ________ ________
b) 6 cm ________ 24 cm 36 cm ²
c) 8 km ________ ________ 32 km 2
d) ________ 4 cm 22 cm ________
e) ________ ________ 44 m 121 m ²

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:

Lengtem Breedtem Oppervlaktem ² 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:

Lengtem Breedtem Oppervlaktem ² Oppervlaktekm ²
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).

Questions & Answers

Is there any normative that regulates the use of silver nanoparticles?
Damian Reply
what king of growth are you checking .?
Renato
What fields keep nano created devices from performing or assimulating ? Magnetic fields ? Are do they assimilate ?
Stoney Reply
why we need to study biomolecules, molecular biology in nanotechnology?
Adin Reply
?
Kyle
yes I'm doing my masters in nanotechnology, we are being studying all these domains as well..
Adin
why?
Adin
what school?
Kyle
biomolecules are e building blocks of every organics and inorganic materials.
Joe
anyone know any internet site where one can find nanotechnology papers?
Damian Reply
research.net
kanaga
sciencedirect big data base
Ernesto
Introduction about quantum dots in nanotechnology
Praveena Reply
what does nano mean?
Anassong Reply
nano basically means 10^(-9). nanometer is a unit to measure length.
Bharti
do you think it's worthwhile in the long term to study the effects and possibilities of nanotechnology on viral treatment?
Damian Reply
absolutely yes
Daniel
how to know photocatalytic properties of tio2 nanoparticles...what to do now
Akash Reply
it is a goid question and i want to know the answer as well
Maciej
characteristics of micro business
Abigail
for teaching engĺish at school how nano technology help us
Anassong
Do somebody tell me a best nano engineering book for beginners?
s. Reply
there is no specific books for beginners but there is book called principle of nanotechnology
NANO
what is fullerene does it is used to make bukky balls
Devang Reply
are you nano engineer ?
s.
fullerene is a bucky ball aka Carbon 60 molecule. It was name by the architect Fuller. He design the geodesic dome. it resembles a soccer ball.
Tarell
what is the actual application of fullerenes nowadays?
Damian
That is a great question Damian. best way to answer that question is to Google it. there are hundreds of applications for buck minister fullerenes, from medical to aerospace. you can also find plenty of research papers that will give you great detail on the potential applications of fullerenes.
Tarell
what is the Synthesis, properties,and applications of carbon nano chemistry
Abhijith Reply
Mostly, they use nano carbon for electronics and for materials to be strengthened.
Virgil
is Bucky paper clear?
CYNTHIA
carbon nanotubes has various application in fuel cells membrane, current research on cancer drug,and in electronics MEMS and NEMS etc
NANO
so some one know about replacing silicon atom with phosphorous in semiconductors device?
s. Reply
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.
Harper
Do you know which machine is used to that process?
s.
how to fabricate graphene ink ?
SUYASH Reply
for screen printed electrodes ?
SUYASH
What is lattice structure?
s. Reply
of graphene you mean?
Ebrahim
or in general
Ebrahim
in general
s.
Graphene has a hexagonal structure
tahir
On having this app for quite a bit time, Haven't realised there's a chat room in it.
Cied
what is biological synthesis of nanoparticles
Sanket Reply
how did you get the value of 2000N.What calculations are needed to arrive at it
Smarajit Reply
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Source:  OpenStax, Wiskunde graad 7. OpenStax CNX. Oct 21, 2009 Download for free at http://cnx.org/content/col11076/1.2
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