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Wiskunde

Voorspellings, vergelykings en veranderlikes

Opvoeders afdeling

Memorandum

14. (a) 100

(b) 12

(c) 124

(d) 8

15. (a) 10 99 75 5

(c)

______ 8 ______ 21
39 ______ 74 ______

16.2 (a) 5 х + 7 = 22

(b) 8 х - 10 = 46

(c) 5 + 9 х = 59

(d) х - 13 = 6

16.3 (a) 21

(b) 17

(c) 34

18 (a) 72 (j) 30

(b) 12 (k) 5

(c) 7 (l) 57

(d) 141 000 (m) 9

  1. 900 (n) 9 987
  2. 47 (o) 125

(g) 135

(h) 336

(i) 7

20. (a) х >10

(b) y <2 000

(c) ( c +8)>6

(d) y <50

(e) k – ( k ÷ 2)<20

Leerders afdeling

Inhoud

Aktiwiteit: voorspellings, vergelykings en veranderlikes (algebraïese vergelyking) [lu 1.7.2, lu 1.9.1, lu 1.10, lu 2.5]

14. Vervang nou die letters deur die korrekte getalle in die volgende vloeidiagram:

15. Legkaarte!

a) Kan jy die volgende raaisels oplos?

Ek dink aan ’n sekere getal. As ek die getal met 7 vermenigvuldig, dan 6 aftrek en die antwoord wat ek kry deur 8 deel, is die kwosiënt 8. Aan watter getal dink ek?

____________________________________________________________________

Ek het 9. As ek dit met 12 vermenigvuldig, dan 2 bytel en weer 11 aftrek, is die antwoord _____________________________________________________________

Wat sal die antwoord wees as ek met 7 begin? _______________________________

En as ek met 5 begin? __________________________________________________

b) Ons kan ’n tabel opstel om ons met probleme soos dié hierbo te help.

Getalle 9 7 5
Getalle × 12 + 2 – 11 99 75 51

c) Ons kan die woord “getal” deur enige letter van die alfabet vervang. Kan jy die ontbrekende getalle in die volgende tabel inskryf?

k 6 ________ 13 _________
(k × 5) + 9 49 114

d) Verduidelik aan ’n maat hoe jy bogenoemde antwoorde gekry het.

16.1 Het jy geweet?

Ons noem die stelling (k × 5) + 9 = 49 ’n algebraïese vergelyking . “Algebra” beteken “die studie van getallesinne”.

16.2 Skryf nou ’n algebraiëse vergelyking vir die volgende:

a) ’n Sekere getal x 5 + 7 = 22

____________________________________________________________________

b) 8 x ’n getal – 10 = 46 ______________________________________

c) 5 + (9 x ’n getal ) = 59 _______________________________________

d) Wanneer 13 van ’n groter getal afgetrek word, is die verskil 6.

_____________________________________________________________________

16.3 Los die volgende vergelykings op: (Jy mag jou sakrekenaar gebruik).

a) 49 x a – 29 = 1 000

_____________________________________________________________________

b) (b + 15) x 6 = 192

_____________________________________________________________________

c) 16 x c – 15 = 529

_____________________________________________________________________

17. Het jy geweet?

Die letters wat in die plek van enige getal staan, word veranderlikes genoem.

18. Kom ons kyk nou eers hoe vaar jy in jou volgende hoofrekentoets.

a) 9 x 8 = ___________________________

b) ___________________________ x 4 = 48

c) 4 x ___________________________ = 28

d) 6 x 235 x 100 = ______________________

e) 25 x 9 x 4 = _________________________

f) 16 + 17 + 14 = ______________________

g) 104 + 15 + 16 = _____________________

h) Verdriedubbel: 112: = _____________________

i) 42 ÷ 6 = ___________________________

j) ___________________________ ÷ 6 = 5

k) 35 ÷ ___________________________ = 7

l) (7 x 3) + (4 x 9) =_______________________

m) 4 x 9 + ___________________________ = 45

n) 10 000 – 13 = ___________________________

o) 5 tot die krag van 3 = _______________________

15

19. Het jy geweet?

Wanneer ons>en<-tekens in getallesinne gebruik, bv. as ons wil sê ’n getal gedeel deur 4 is kleiner as 5, sal ons dit so skryf:

y ÷ 4<5

As ons bv. wil sê ’n getal vermenigvuldig met 5 is groter as 16, sal ons dit so skryf:

b x 5>16

Ons noem getallesinne soos hierdie wat nie = -tekens het nie, ongelykhede.

20. Skryf die volgende woordsinne as getallesinne deur gebruik te maak van ongelykhede:

a) Die getal lekkers wat ek het, is meer as 10.

_____________________________________________________________________

b) Die getal leerders in ons skool is minder as 2 000.

_____________________________________________________________________

c) ’n Getal, vermeerder met 8, is groter as 6.

_____________________________________________________________________

d) Daar is minder as 50 leerders in ons klas.

_____________________________________________________________________

e) As ek die helfte van my albasters weggee, sal ek minder as 20 hê.

_____________________________________________________________________

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 1.7: Dit is duidelik wanneer die leerder skat en bereken deur geskikte bewerkings vir probleme wat die volgende behels, te kies en te gebruik:

1.7.2: veelvoudige bewerkings met heelgetalle;

1.7.7: eksponente;

Assesseringstandaard 1.10: Dit is duidelik wanneer die leerder ‘n verskeidenheid strategieë gebruik om oplossings te kontroleer en die redelikheid daarvan te beoordeel.

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 2.1: Dit is duidelik wanneer die leerder ‘numeriese en meetkundige patrone ondersoek en uitbrei op soek na ‘n verwantskap of reëls, insluitend patrone;

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 deur die gebruik van:

2.3.2: vloeidiagramme;

2.3.3: tabelle;

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

where we get a research paper on Nano chemistry....?
Maira Reply
what are the products of Nano chemistry?
Maira Reply
There are lots of products of nano chemistry... Like nano coatings.....carbon fiber.. And lots of others..
learn
Even nanotechnology is pretty much all about chemistry... Its the chemistry on quantum or atomic level
learn
Google
da
no nanotechnology is also a part of physics and maths it requires angle formulas and some pressure regarding concepts
Bhagvanji
Preparation and Applications of Nanomaterial for Drug Delivery
Hafiz Reply
revolt
da
Application of nanotechnology in medicine
what is variations in raman spectra for nanomaterials
Jyoti Reply
I only see partial conversation and what's the question here!
Crow Reply
what about nanotechnology for water purification
RAW Reply
please someone correct me if I'm wrong but I think one can use nanoparticles, specially silver nanoparticles for water treatment.
Damian
yes that's correct
Professor
I think
Professor
Nasa has use it in the 60's, copper as water purification in the moon travel.
Alexandre
nanocopper obvius
Alexandre
what is the stm
Brian Reply
is there industrial application of fullrenes. What is the method to prepare fullrene on large scale.?
Rafiq
industrial application...? mmm I think on the medical side as drug carrier, but you should go deeper on your research, I may be wrong
Damian
How we are making nano material?
LITNING Reply
what is a peer
LITNING Reply
What is meant by 'nano scale'?
LITNING Reply
What is STMs full form?
LITNING
scanning tunneling microscope
Sahil
how nano science is used for hydrophobicity
Santosh
Do u think that Graphene and Fullrene fiber can be used to make Air Plane body structure the lightest and strongest. Rafiq
Rafiq
what is differents between GO and RGO?
Mahi
what is simplest way to understand the applications of nano robots used to detect the cancer affected cell of human body.? How this robot is carried to required site of body cell.? what will be the carrier material and how can be detected that correct delivery of drug is done Rafiq
Rafiq
if virus is killing to make ARTIFICIAL DNA OF GRAPHENE FOR KILLED THE VIRUS .THIS IS OUR ASSUMPTION
Anam
analytical skills graphene is prepared to kill any type viruses .
Anam
Any one who tell me about Preparation and application of Nanomaterial for drug Delivery
Hafiz
what is Nano technology ?
Bob Reply
write examples of Nano molecule?
Bob
The nanotechnology is as new science, to scale nanometric
brayan
nanotechnology is the study, desing, synthesis, manipulation and application of materials and functional systems through control of matter at nanoscale
Damian
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
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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