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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 km ²

11.2 530 m ²

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 cm ²

b) 180 cm ²

c) 81 m ²

d) 200 m ²

14.2

a) 42 m ²

b) 48 cm ²

c) 65 cm ²

d) 64 m ²

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:

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.

_____________________________________________________________________

_____________________________________________________________________

_____________________________________________________________________

_____________________________________________________________________

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

_____________________________________________________________________

_____________________________________________________________________

_____________________________________________________________________

_____________________________________________________________________

11.3 As die boer ’n reghoekige kamp met ’n oppervlakte van 72 m 2 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?

_____________________________________________________________________

_____________________________________________________________________

_____________________________________________________________________

_____________________________________________________________________

13.1 As elke vierkant 1 cm 2 is, wat is die oppervlakte van die ingekleurde deel?

a)

_____________________________________

b)

_____________________________________

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

A

_____________________________________

B

_____________________________________

14. KOPKRAPPERS!

  • Werk saam met ’n maat.

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

a)

_____________________________________

_____________________________________

_____________________________________

b)

_____________________________________

_____________________________________

_____________________________________

c)

_____________________________________

_____________________________________

_____________________________________

d)

_____________________________________

_____________________________________

_____________________________________

14.2 Bereken die oppervlakte van die volgende figure:

a)

_____________________________________

_____________________________________

_____________________________________

_____________________________________

b)

_____________________________________

_____________________________________

_____________________________________

_____________________________________

c)

_____________________________________

_____________________________________

_____________________________________

_____________________________________

d)

_____________________________________

_____________________________________

_____________________________________

_____________________________________

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

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:

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.

Questions & Answers

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
Do somebody tell me a best nano engineering book for beginners?
s. Reply
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
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
what's the easiest and fastest way to the synthesize AgNP?
Damian Reply
China
Cied
types of nano material
abeetha Reply
I start with an easy one. carbon nanotubes woven into a long filament like a string
Porter
many many of nanotubes
Porter
what is the k.e before it land
Yasmin
what is the function of carbon nanotubes?
Cesar
I'm interested in nanotube
Uday
what is nanomaterials​ and their applications of sensors.
Ramkumar Reply
what is nano technology
Sravani Reply
what is system testing?
AMJAD
preparation of nanomaterial
Victor Reply
Yes, Nanotechnology has a very fast field of applications and their is always something new to do with it...
Himanshu Reply
good afternoon madam
AMJAD
what is system testing
AMJAD
what is the application of nanotechnology?
Stotaw
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
anybody can imagine what will be happen after 100 years from now in nano tech world
Prasenjit
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
Azam
name doesn't matter , whatever it will be change... I'm taking about effect on circumstances of the microscopic world
Prasenjit
how hard could it be to apply nanotechnology against viral infections such HIV or Ebola?
Damian
silver nanoparticles could handle the job?
Damian
not now but maybe in future only AgNP maybe any other nanomaterials
Azam
Hello
Uday
I'm interested in Nanotube
Uday
this technology will not going on for the long time , so I'm thinking about femtotechnology 10^-15
Prasenjit
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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