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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

differentiate between demand and supply giving examples
Lambiv Reply
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Lambiv
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Lambiv
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WARKISA
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Lambiv
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appreciation
Eliyee
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Lindiwe Reply
In economics, a perfect market refers to a theoretical construct where all participants have perfect information, goods are homogenous, there are no barriers to entry or exit, and prices are determined solely by supply and demand. It's an idealized model used for analysis,
Ezea
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Shukri Reply
other things being equal
AI-Robot
When MP₁ becomes negative, TP start to decline. Extuples Suppose that the short-run production function of certain cut-flower firm is given by: Q=4KL-0.6K2 - 0.112 • Where is quantity of cut flower produced, I is labour input and K is fixed capital input (K-5). Determine the average product of lab
Kelo
Extuples Suppose that the short-run production function of certain cut-flower firm is given by: Q=4KL-0.6K2 - 0.112 • Where is quantity of cut flower produced, I is labour input and K is fixed capital input (K-5). Determine the average product of labour (APL) and marginal product of labour (MPL)
Kelo
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Shukri
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Shukri
what is monopoly mean?
Habtamu Reply
What is different between quantity demand and demand?
Shukri Reply
Quantity demanded refers to the specific amount of a good or service that consumers are willing and able to purchase at a give price and within a specific time period. Demand, on the other hand, is a broader concept that encompasses the entire relationship between price and quantity demanded
Ezea
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Shukri
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Economic growth as an increase in the production and consumption of goods and services within an economy.but Economic development as a broader concept that encompasses not only economic growth but also social & human well being.
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Jabir
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Asui
it is a curve that we get after connecting the pareto optimal combinations of two consumers after their mutually beneficial trade offs
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In economics, the contract curve refers to the set of points in an Edgeworth box diagram where both parties involved in a trade cannot be made better off without making one of them worse off. It represents the Pareto efficient allocations of goods between two individuals or entities, where neither p
Cornelius
In economics, the contract curve refers to the set of points in an Edgeworth box diagram where both parties involved in a trade cannot be made better off without making one of them worse off. It represents the Pareto efficient allocations of goods between two individuals or entities,
Cornelius
Suppose a consumer consuming two commodities X and Y has The following utility function u=X0.4 Y0.6. If the price of the X and Y are 2 and 3 respectively and income Constraint is birr 50. A,Calculate quantities of x and y which maximize utility. B,Calculate value of Lagrange multiplier. C,Calculate quantities of X and Y consumed with a given price. D,alculate optimum level of output .
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Answer
Feyisa
c
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the market for lemon has 10 potential consumers, each having an individual demand curve p=101-10Qi, where p is price in dollar's per cup and Qi is the number of cups demanded per week by the i th consumer.Find the market demand curve using algebra. Draw an individual demand curve and the market dema
Gsbwnw Reply
suppose the production function is given by ( L, K)=L¼K¾.assuming capital is fixed find APL and MPL. consider the following short run production function:Q=6L²-0.4L³ a) find the value of L that maximizes output b)find the value of L that maximizes marginal product
Abdureman
types of unemployment
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What is the difference between perfect competition and monopolistic competition?
Mohammed
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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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