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Wiskunde

Voorspellings, vergelykings en veranderlikes

Opvoeders afdeling

Memorandum

6. 12

7 (a) 18

(b) 13

(c) 17

(d) 19

(e) 12

Som: 45

2.1

8.

1 14 7 12
15 4 9 6
10 5 16 3
8 11 2 13

Som: 34

9. (a) 48

(b) 10

(c) 64

(d) 90

(e) 108

10. (a) waar

(b) waar

(c) vals

(d) vals

(e) waar

11.

_____ _____ _____
_____ _____ _____
_____ _____ _____

12.

9 969 _____ 9 699 _____
_____ _____ _____ 6 669
6 966 9 669 6 696 _____
6 699 _____ 6 969 9 666

13. Leerders se eie assessering

Leerders afdeling

Inhoud

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

6. Onthou jy nog?

In ’n towervierkant is die som van die getalle horisontaal, vertikaal en diagonaal (skuins) dieselfde.

Wat is die som van hierdie towervierkant? _____________________________

1 8 3
6 4 2
5 0 7

7. Soms vervang ons getalle met letters van die alfabet.

Kyk na die volgende towervierkant. Vervang nou die letters met die korrekte getalle.

a 11 16
b 15 c
14 d e
a: _____________________________b: _____________________________c: _____________________________d: _____________________________e: _____________________________

Wat is die som van die towervierkant? _____________________________

8. Kopkrapper!

In die volgende towervierkant is al die getalle vervang deur letters.

As k = 4 en c = 1 , skryf die korrekte getalle in.

Onthou: 3k beteken 3 × k en 2c beteken 2 × c

c 3k + 2c k + 3c 2k + 4c
3k + 3c 4c 2k + c k + 2c
2k + 2c k + c 3k + 4c 3c
k + 4c 2k + 3c 2c 3k + c

Wat is die som van die towervierkant? _____________________________________

9. Ons kan ook aan party letters sekere waardes gee, bv.

a = 9 ; b = 6 ; c = 8 ; d = 2 ; e = 10 en f = 20

Bereken:

a) b x c = ________________________________

b) f ÷ d = ________________________________

c) a x b + e = ____________________________

d) (f – e) x a = ____________________________

e) [(c – d) + b] x a = _______________________

10. Vervang die letters met enige getal van jou keuse en kyk of die volgende stellings waar of onwaar is:

a) e + f = f + e _______________________

b) 2k + 2c = 2 x (k + c) _______________________

c) h – g = g – h _______________________

d) 4b = 4 + b _______________________

e) x + (y + z) = (x + y) + z _______________________

11. Kopkrapper!

Bou jou eie “towervierkant” . Verminder die sewe vierkante na vyf deur net vier tandestokkies te skuif. Teken jou poging langs die gegewe een en dui aan watter stokkies waarheen geskuif is.

12. Nog ‘n kopkrapper!

Kan jy die volgende towervierkant voltooi deur slegs ’n 6 en /of ’n 9 in jou getalle te gebruik? (Onthou: die som van al die getalle in elke ry, kolom en diagonaal moet dieselfde wees!)

6 666 6 996
9 696 6 999 9 966
9 999
9 996

13. Tyd vir selfassessering

Maak ’n regmerkie in die toepaslike blokkie:

Onseker Redelik seker Baie seker
Ek kan die volgende verduidelik en ’n voorbeeld gee: ____ ____ ____
a) vierkantgetal ____ ____ ____
b) reghoekgetal ____ ____ ____
c) kubusgetal ____ ____ ____
Ek ken ’n sinoniem vir: ____ ____ ____
a) vierkantgetal ____ ____ ____
b) kubusgetal ____ ____ ____
Ek kan letters deur getalle vervang en so ’n towervierkant oplos ____ ____ ____
Ek kan die 4 hoofbewerkings korrek doen nadat ek die letters met syferwaardes vervang het ____ ____ ____

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;

Assesseringstandaard 1.9: Dit is duidelik wanneer die leerder ‘n verskeidenheid tegnieke gebruik om berekeninge te doen, insluitend:

1.9.1: die gebruik van die kommutatiewe, assosiatiewe en distributiewe eienskappe met positiewe rasionale getalle en nul;

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 2.5: 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
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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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