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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

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 9. OpenStax CNX. Sep 14, 2009 Download for free at http://cnx.org/content/col11055/1.1
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