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Wiskunde

Graad 9

Getalpatrone

Grafiese voorstellings

Vergelykings

Statistiek

Waarskynlikheidsleer

Module 12

Getalpatrone

Aktiwiteit 1

Om ‘n tabel te gebruik om inligting te organiseer

[lu 2.1, 2.2]

Alice maak hangertjies deur driehoek–motiewe op ‘n draadjie te plaas (soos in diagram 1). Elke motief bestaan uit drie swart krale, ses wit krale en ses gekleurde krale. Dis vir haar belangrik om genoeg krale van elke kleur te koop. Sy wil 50 hangertjies met swart, wit en rooi krale maak; 40 met swart, wit en geel krale; 40 met swart, wit en blou krale en 30 met swart,wit en groen krale.

1. Vraag: Bereken hoeveel krale van elke kleur sy moet koop.

Sy maak ook ‘n groter hangertjie (soos in diagram 2) waar sy drie motiewe kombineer. Die twee boonste motiewe is dieselfde ontwerp as in diagram 1, maar die onderste motief bestaan slegs uit 15 gekleurde krale. Van hierdie hangertjies maak sy net die helfte soveel in elke kleur as die eenvoudige hangertjie.

2. Vraag: Hoeveel krale van elke kleur benodig sy vir hierdie hangertjies?

Die groter hangertjies is bo verwagting gewild, dus besluit sy om groter motiewe te ontwerp en om meer motiewe per hangertjie te gebruik. Die volgende twee diagramme toon haar nuwe planne.

Alice wil vier kleure kombineer in elke motief. Gebruik die diagram om jou eie vier–kleur ontwerp te maak.

3. Vraag: Herhaal die berekening–oefeninge vir hierdie hangertjies.

Hierdie driehoek-motiewe kan natuurlik groter en groter gemaak word. Almal is egter nie geskik vir hangertjies nie!

4. Oefening: Hieronder is gelyksydige driehoek–motiewe 1 tot 4. Teken motiewe 6 en 7 wat verder volg.

Die derde motief hierbo het 1 swart, 3 wit en 6 rooi krale. Jy sal hierna moet verwys in probleem 6 verder aan.

5. Data–insameling: Die krale in die motiewe het elk ‘n deursnit van 1cm. Dus is die sylengte van die eerste motief in die gegewe volgorde 2 cm. Voltooi die tabel hieronder deur na die driehoeke hierbo, asook dié wat jy geteken het, te verwys.

Sylengte van driehoek in sentimeter 2 3 4 5 6 7 8
Aantal krale per driehoek 3 6 10
Omtrek van driehoek 6 9

6. Ondersoek: Alice maak haar hangertjies deur driehoekmotiewe te kombineer soos in diagram 2 en 4. As sy die 10–kraalmotief gebruik, het die kleinste hanger een motief (grootte 1) en die volgende hanger het drie motiewe (grootte 2) met ‘n driehoek–vormige spasie in die middel. Dink hoe die volgende groottes hangertjies (3, 4, ens.) gaan lyk (of teken hulle) en voltooi onderstaande tabel. Probeer om die laaste kolom ook te voltooi!

Hangertjie–grootte 1 2 3 4 5 Х
Aantal driehoekmotiewe 6 10
Aantal driehoekspasies
Aantal krale per sy van elke driehoekmotief
Totale aantal krale per hangertjie
Aantal swart krale
Totale omtrek van hanger met 1cm krale 9

6. Ondersoek: Doen dieselfde vir die volgende tabel as Alice nou die 15–kraalmotief gebruik (sien die heel eerste diagram).

Hangertjie–grootte 1 2 3 4 5 Х
Aantal driehoekmotiewe 1 3
Aantal driehoekspasies 0 1
Aantal krale per sy van elke driehoekmotief 5 10
Totale aantal krale per hangertjie 15 45
Aantal swart krale 3 9
Totale omtrek van hanger met 1cm krale 12 27

Questions & Answers

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
anyone know any internet site where one can find nanotechnology papers?
Damian Reply
research.net
kanaga
sciencedirect big data base
Ernesto
Introduction about quantum dots in nanotechnology
Praveena Reply
what does nano mean?
Anassong Reply
nano basically means 10^(-9). nanometer is a unit to measure length.
Bharti
do you think it's worthwhile in the long term to study the effects and possibilities of nanotechnology on viral treatment?
Damian Reply
absolutely yes
Daniel
how to know photocatalytic properties of tio2 nanoparticles...what to do now
Akash Reply
it is a goid question and i want to know the answer as well
Maciej
characteristics of micro business
Abigail
for teaching engĺish at school how nano technology help us
Anassong
Do somebody tell me a best nano engineering book for beginners?
s. Reply
there is no specific books for beginners but there is book called principle of nanotechnology
NANO
what is fullerene does it is used to make bukky balls
Devang Reply
are you nano engineer ?
s.
fullerene is a bucky ball aka Carbon 60 molecule. It was name by the architect Fuller. He design the geodesic dome. it resembles a soccer ball.
Tarell
what is the actual application of fullerenes nowadays?
Damian
That is a great question Damian. best way to answer that question is to Google it. there are hundreds of applications for buck minister fullerenes, from medical to aerospace. you can also find plenty of research papers that will give you great detail on the potential applications of fullerenes.
Tarell
what is the Synthesis, properties,and applications of carbon nano chemistry
Abhijith Reply
Mostly, they use nano carbon for electronics and for materials to be strengthened.
Virgil
is Bucky paper clear?
CYNTHIA
carbon nanotubes has various application in fuel cells membrane, current research on cancer drug,and in electronics MEMS and NEMS etc
NANO
so some one know about replacing silicon atom with phosphorous in semiconductors device?
s. Reply
Yeah, it is a pain to say the least. You basically have to heat the substarte up to around 1000 degrees celcius then pass phosphene gas over top of it, which is explosive and toxic by the way, under very low pressure.
Harper
Do you know which machine is used to that process?
s.
how to fabricate graphene ink ?
SUYASH Reply
for screen printed electrodes ?
SUYASH
What is lattice structure?
s. Reply
of graphene you mean?
Ebrahim
or in general
Ebrahim
in general
s.
Graphene has a hexagonal structure
tahir
On having this app for quite a bit time, Haven't realised there's a chat room in it.
Cied
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 9. OpenStax CNX. Sep 14, 2009 Download for free at http://cnx.org/content/col11055/1.1
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