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Wiskunde

Ruimte en vorm

Opvoeders afdeling

Memorandum

1. Algemene bespreking oor meetkunde / General discussion about geometry .

2. (1) AARDE / EARTH (geo) (2) METING / MEASUREMENT (metry)

4.

(a) ‘n punt / a point

  1. hoek / angle
  2. figure / figures

6.

(a) konstruksielyn / construction line

  1. tekenlyn / drawing line

(c) gebroke of kortstrepie-lyn / a broken line

7.1

(a) horisontaal / horizontal

vertikaal / vertical

diagonaal / diagonal

(b) ewewydige of parallelle / parallel

⁄ ⁄

(c) loodreg / perpendicular

regte / right

8 (a) 6

AB; AD; BC; CD; AC; BD

BD: 40 mm

(b) HJ; JH; IJ; IH

(c)

(d)

(e)

(f)

(g)

Leerders afdeling

Inhoud

Aktiwiteit: meetkunde [lu 1.8, lu 3.4]

1. Kom ons val weg met ’n klasbespreking. Wat, dink julle, is MEETKUNDE, en waaroor gaan dit?

2. Het jy geweet?

’n Ander woord vir “Meetkunde” is Geometrie . Dié woord is afgelei uit twee Griekse woorde. Ontsyfer die kode en vind uit wat dié twee woorde is.

1.

a) 72 ÷ 8

b) 7 x 6

c) 9 x 4

d) 9 x 6

e) 144 ÷ 12

________________

(geo)

2.

a) 12 x 8

b) 36 ÷ 4

c) 29 + 13

d) 56 − 18

e) 11 x 4

f) 12 x 3

_________________

(metrie)

3. Het jy geweet?

Meer as 5 000 jaar gelede het die Antieke Egiptenare in die Nylvallei meetkundige reëls toegepas om piramides te bou. Die Babiloniërs het ook meetkunde gebruik om tempels te bou en besproeiingstelsels te ontwerp. Die beroemde Griekse meetkundige, Euklides, het 300 jaar v.C. geleef. Volgens hom is die boublokke van meetkunde punte, lyne en vlakke.

4. KOPKRAPPER!

a) Wat is die kortste moontlike lyn?___________________________________

b) Wat kry ons as ons twee lyne saamvoeg en hulle sny mekaar? ______________________________________________________________

c) Wat kry ons as ons meer lyne by bogenoemde voeg?________________________

5. BELANGRIK om te weet

PUNT : ’n Punt het net ’n posisie en geen grootte nie. Ons dui dit met ’n klein kolletjie (  ) aan.

LYN: As ons twee punte het, kan ons ’n lyn deur hulle trek.

’n Lyn het slegs lengte en nie hoogte of breedte nie.

’n Reguit lyn het geen begin- of eindpunt nie.

LYNSEGMENT: ’n Lynsegment is deel van ’n lyn. Dit het ’n begin- en eindpunt.

HALFLYN OF STRAAL: ’n Straal het ’n beginpunt. Dit gaan onbeperk voort in dieselfde rigting en het nie ’n eindpunt nie. (Dink aan die strale van die son).

VLAK: ’n Vlak het lengte en breedte, maar nie hoogte nie.

Jy kan dit beskou as ’n “plat” ruimte, bv. ’n reghoek.

6. KOPKRAPPER!

a) Wat noem ons dié lyn? . . . . . . . . . . . . . . . . .

Dit word gebruik in konstruksies om ’n figuur te teken.

_____________________________________________________________________

b) Wat noem ons dié lyn? _____________________

Dit is gewoonlik donker en word gebruik vir die finale lyne van ’n tekening.

_____________________________________________________________________

c) Hierdie lyn word gebruik vir versteekte of onsigbare lyne. _ _ _ _ _ _ _

Wat word dit genoem? (dis nie ’n stippellyn nie)

_____________________________________________________________________

7.1 Onthou jy nog?

§ Kan jy die ontbrekende woorde invul?

a) Lyne kan in verskillende rigtings loop:

i)

ii)

:

iii)

b) Lyne wat ewe ver van mekaar af is, noem ons __________________________

of _____________________________________________ lyne.

Ons gebruik dié simbool _________________ om “is ewewydig aan” aan te toon.

c) Twee lyne is______________________________ op mekaar wanneer die hoek tussen hulle 90 grade is.

Ons noem dié hoek ’n _______________________________________________ hoek.

Ons gebruik die simbool ___________________ om “is loodreg op” aan te toon.

7.2 Ontwerp ’n muurbehangsel deur net van horisontale en vertikale lyne gebruik te maak. Kleur dit netjies in.

7.3 Kan jy aan jou klasmaats verduidelik hoe ’n mens loodlyne teken?

7.4 Kan jy verduidelik hoe ons ewewydige lyne trek?

_____________________________________________________________________

_____________________________________________________________________

_____________________________________________________________________

_____________________________________________________________________

_____________________________________________________________________

_____________________________________________________________________

_____________________________________________________________________

_____________________________________________________________________

8. KOM ONS TOETS JOU KENNIS!

a)

Hoeveel lynstukke is in dié skets?__________________________________________

Noem hulle: __________________________________________________________

_____________________________________________________________________

Meet elkeen se lengte: __________________________________________________

_____________________________________________________________________

b)

Noem die vier halflyne in die skets:

_____________________________________________________________________

_____________________________________________________________________

_____________________________________________________________________

_____________________________________________________________________

c) Trek lyn EF.

d) Trek lynstuk GH 32 mm lank.

e) Trek halflyn MN.

f) Trek KL // OP.

g) Trek VW XY.

Assessering

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 1.8: Dit is duidelik wanneer die leerder hoofberekeninge doen wat kwadrate van natuurlike getalle tot minstens 10 2 en derdemagswaardes van natuurlike getalle tot minstens 5 3 behels.

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.

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
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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
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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
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Sadik
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Sadik
all
Tesfaye
by fussion
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Micheal
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Micheal
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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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