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Wiskunde

Omtrek, oppervlakte en volume

Opvoeders afdeling

Memorandum

21.1.2

21.2.3

  • 6; 8; 12
  • 7

21.2.6

21.2.7

a) reghoekige prisma

b) kuboied

a)

b)

Leerders afdeling

Inhoud

Aktiwiteit: ontvouings [lo 3.4, lo 3.7]

21.2 ONTVOUINGS:

21.2.1 Vir hierdie aktiwiteit moet jy ’n kartonhouer van enige grootte klas toe bring. Sny dit oop (wees versigtig!) sodat jy dit plat op jou tafel of bank kan oopvou. Tel nou hoeveel syvlakke, hoekpunte en kante daar is.

21.2.2 Het jy geweet?

Wanneer ons ’n kubus (of enige ander vorm) oop­knip en plat vou (sien skets), noem ons die plat­gevou­de kubus / figuur die ontvouing van die kubus / figuur. Die stippellyne dui die voue aan.

21.2.3 Kyk goed na die volgende ontvouing van ’n kubus. Kan jy nog ’n ontvouing of twee van ’n kubus teken wat verskil van hierdie een?

21.2.4 Trek nou die ontvouing van die kubus hierbo akkuraat en netjies af. Vou dan jou eie kubus. Gebruik kleeflint om die kante vas te plak.

Voltooi: ’n kubus het ............... syvlakke, ............... hoekpunte en ............... kante.

21.2.5 Gebruik nou jou kubus en maak daarvan ’n dobbelsteen. Vergelyk dit met ’n regte dobbelsteen as jy nie weet waar om die kolletjies te maak nie!

Wat is die som van die kolletjies op die teenoorstaande syvlakke van ’n dobbelsteen? __________________

21.2.6 Kan jy die volgende ontvouings voltooi? Maak jou dobbelsteen weer los en vou dit plat om jou te help.

a)

b)

c)

d)

e)

21.2.7 Bring enige leë graankoshouer van karton van die huis af saam. Knip dit oop en vou dit plat. Beantwoord dan die vrae:

a) Wat noem ons jou boks wat jy saamgebring het?

_____________________________________________________________________

b) Kan jy ’n sinoniem gee vir jou antwoord by (a)?

_____________________________________________________________________

c) Teken die ontvouing van jou oopgeknipte houer.

d) Kan jy die ontvouing van ’n reghoekige prisma op ’n ander manier ook teken?

21.2.8 KLASBESPREKING

Watter van die volgende ontvouings, dink julle, sal ’n vervaardiger eerder gebruik? Motiveer!

A

B

_____________________________________________________________________

_____________________________________________________________________

_____________________________________________________________________

_____________________________________________________________________

21.2.9 KOPKRAPPER!

Twee dele van die ontvouing (net) van die figure kort. Kan jy hulle intrek?

a)

b)

22. Tyd vir selfassessering

  • Kleur die gesiggie in wat waar is van jou:
Ek kan die verskil tussen twee- en drie-dimensionele voorwerpe aandui
Ek kan die volgende begrippe verduidelik:
  • rant / kant
  • hoekpunt
  • vlak / syvlak
  • hubus
  • reghoekige prisma
  • net
Ek kan verskillende drie-dimensionele vorms identifiseer en benoem
Ek kan die aantal syvlakke van ’n drie-dimensionele figuur bereken
Ek kan die aantal hoekpunte van ’n drie-dimensionele figuur bereken
Ek kan die aantal kante van ’n drie-dimensionele figuur bereken
Ek kan ’n kubus vanuit verskillende hoeke teken
Ek kon die dobbelsteen – ontvouings korrek voltooi
Ek kan meer as een net van ’n reghoekige prisma teken

Assessering

Leeruitkomste 3: Die leerder is in staat om eienskappe van en verwantskappe tussen twee-dimensionele vorms en drie-dimensionele voorwerpe in ‘n verskeidenheid oriëntasies en posisies te beskryf en voor te stel.

Assesseringstandaard 3.4: Dit is duidelik wanneer die leerder nette ontwerp en gebruik om modelle te maak van meetkundige drie-dimensionele voorwerpe wat tot en met hierdie graad bestudeer is;

Assesseringstandaard 3.7: Dit is duidelik wanneer die leerder sketse van drie-dimensionele voorwerpe vanuit verskillende perspektiewe teken en interpreteer.

Questions & Answers

how does Neisseria cause meningitis
Nyibol Reply
what is microbiologist
Muhammad Reply
what is errata
Muhammad
is the branch of biology that deals with the study of microorganisms.
Ntefuni Reply
What is microbiology
Mercy Reply
studies of microbes
Louisiaste
when we takee the specimen which lumbar,spin,
Ziyad Reply
How bacteria create energy to survive?
Muhamad Reply
Bacteria doesn't produce energy they are dependent upon their substrate in case of lack of nutrients they are able to make spores which helps them to sustain in harsh environments
_Adnan
But not all bacteria make spores, l mean Eukaryotic cells have Mitochondria which acts as powerhouse for them, since bacteria don't have it, what is the substitution for it?
Muhamad
they make spores
Louisiaste
what is sporadic nd endemic, epidemic
Aminu Reply
the significance of food webs for disease transmission
Abreham
food webs brings about an infection as an individual depends on number of diseased foods or carriers dully.
Mark
explain assimilatory nitrate reduction
Esinniobiwa Reply
Assimilatory nitrate reduction is a process that occurs in some microorganisms, such as bacteria and archaea, in which nitrate (NO3-) is reduced to nitrite (NO2-), and then further reduced to ammonia (NH3).
Elkana
This process is called assimilatory nitrate reduction because the nitrogen that is produced is incorporated in the cells of microorganisms where it can be used in the synthesis of amino acids and other nitrogen products
Elkana
Examples of thermophilic organisms
Shu Reply
Give Examples of thermophilic organisms
Shu
advantages of normal Flora to the host
Micheal Reply
Prevent foreign microbes to the host
Abubakar
they provide healthier benefits to their hosts
ayesha
They are friends to host only when Host immune system is strong and become enemies when the host immune system is weakened . very bad relationship!
Mark
what is cell
faisal Reply
cell is the smallest unit of life
Fauziya
cell is the smallest unit of life
Akanni
ok
Innocent
cell is the structural and functional unit of life
Hasan
is the fundamental units of Life
Musa
what are emergency diseases
Micheal Reply
There are nothing like emergency disease but there are some common medical emergency which can occur simultaneously like Bleeding,heart attack,Breathing difficulties,severe pain heart stock.Hope you will get my point .Have a nice day ❣️
_Adnan
define infection ,prevention and control
Innocent
I think infection prevention and control is the avoidance of all things we do that gives out break of infections and promotion of health practices that promote life
Lubega
Heyy Lubega hussein where are u from?
_Adnan
en français
Adama
which site have a normal flora
ESTHER Reply
Many sites of the body have it Skin Nasal cavity Oral cavity Gastro intestinal tract
Safaa
skin
Asiina
skin,Oral,Nasal,GIt
Sadik
How can Commensal can Bacteria change into pathogen?
Sadik
How can Commensal Bacteria change into pathogen?
Sadik
all
Tesfaye
by fussion
Asiina
what are the advantages of normal Flora to the host
Micheal
what are the ways of control and prevention of nosocomial infection in the hospital
Micheal
what is inflammation
Shelly Reply
part of a tissue or an organ being wounded or bruised.
Wilfred
what term is used to name and classify microorganisms?
Micheal Reply
Binomial nomenclature
adeolu
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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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