Hierdie is die oorspronklike
werk van die Vandag Graad 9
Wiskunde handboek wat slegs deur
skool_notas opgesom is.
Dit mag nie herverkoop/versprei of
onder n nuwe lisensie verkoop word nie.
Notas
Webtuiste : https://skoolnotas.company.site/
Whatsapp : 081 369 9131
Hierdie notas mag nie herverkoop, gekopieer, versprei of onder ‘n nuwe lisensie verkoop word nie.
Telgetalle ....................................................................................................................................................................................3
Die eienskappe van getalle ........................................................................................................................................... 3
Veelvoude, faktore en priemfaktore ..................................................................................................................... 4
Probleemoplossing ............................................................................................................................................................... 5
Heelgetalle ................................................................................................................................................................................9
Berekeninge met heelgetalle ....................................................................................................................................... 9
Die eienskappe van heelgetalle ............................................................................................................................... 10
Probleemoplossing ...............................................................................................................................................................11
Gewone breuke .................................................................................................................................................................... 12
Berekeninge en probleemoplossing ....................................................................................................................12
Ekwivalensie ...............................................................................................................................................................................13
Desimale breuke ................................................................................................................................................................ 14
Berekeninge .............................................................................................................................................................................. 14
Ekwivalensie en probleemoplossing....................................................................................................................16
Eksponente ............................................................................................................................................................................. 17
Die eksponentwette .............................................................................................................................................................17
Berekeninge en eenvoudige vergelykings ......................................................................................................18
Wetenskaplike notasie .....................................................................................................................................................19
Probleemoplossing ..............................................................................................................................................................19
Patrone ...................................................................................................................................................................................... 20
Numeriese patrone ............................................................................................................................................................20
Meetkundige patrone ......................................................................................................................................................20
Funksies en verwantskappe ...................................................................................................................................... 21
Inset- en uitsetwaardes ...................................................................................................................................................21
Ekwivalente vorme ...............................................................................................................................................................21
Algebraïese uitdrukkings ............................................................................................................................................ 23
Algebraïese taal ....................................................................................................................................................................23
Uitbreiding en vereenvoudiging van algebraïese uitdrukkings ...............................................23
Algebraïese vergelykings ............................................................................................................................................25
Ontleed, interpreteer en stel vergelykings op .......................................................................................... 25
Verskillende metodes om vergelykings op te los ................................................................................... 25
Konstruksies .......................................................................................................................................................................... 28
Lyne, hoeke, spesiale hoeke en driehoeke ................................................................................................... 28
Die Stelling van Pythagoras...................................................................................................................................... 30
Bereken onbekende sye van ’n driehoek ........................................................................................................30
1
Notas
Webtuiste : https://skoolnotas.company.site/
Whatsapp : 081 369 9131
Hierdie notas mag nie herverkoop, gekopieer, versprei of onder ‘n nuwe lisensie verkoop word nie.
Identifiseer reghoekige driehoeke ........................................................................................................................30
Tweedimensionele vorms ............................................................................................................................................ 31
Driehoeke .....................................................................................................................................................................................31
Vierhoeke ......................................................................................................................................................................................31
Gelykvormige en kongruente driehoeke .........................................................................................................33
Reguit lyne ............................................................................................................................................................................. 34
Verwantskappe tussen hoeke ................................................................................................................................. 34
Probleemoplossing ............................................................................................................................................................ 34
Omtrek en oppervlakte ................................................................................................................................................35
Omtrek en oppervlakte van veelhoeke ........................................................................................................... 35
Omtrek en oppervlakte van ’n sirkel ...................................................................................................................36
Funksies en verwantskappe ..................................................................................................................................... 37
Ekwivalente vorme ..............................................................................................................................................................37
Algebraïese uitdrukkings ............................................................................................................................................ 38
Uitbreidings en vereenvoudiging van uitdrukkings ............................................................................ 38
Algebraïese vergelykings ............................................................................................................................................ 41
Los vergelykings op ........................................................................................................................................................... 41
Grafieke.................................................................................................................................................................................... 42
Interpreteer en ondersoek grafieke ................................................................................................................... 42
Teken grafieke en bepaal die vergelykings van grafieke ............................................................... 43
Volume kapasiteit en buite-oppervlak ........................................................................................................... 44
Buite-oppervlakke van kubusse, prismas en silinders ...................................................................... 44
Volumes van kubusse, prismas en silinders ............................................................................................... 45
Transformasie-meetkunde ....................................................................................................................................... 46
Transformasies in ’n koördinaatvlak ................................................................................................................. 46
Vergrotings en verkleinings ....................................................................................................................................... 46
Driedimensionele voorwerpe .................................................................................................................................. 48
Klassifisering van driedimensionele vorms ................................................................................................. 48
Datahantering .................................................................................................................................................................... 49
Versamel, organiseer en som data op ............................................................................................................ 49
Stel data voor ......................................................................................................................................................................... 50
Ontleed, interpreteer en doen verslag oor data .................................................................................... 52
Waarskynlikheid ................................................................................................................................................................ 54
Waarskynlikheid, frekwensie en relatiewe frekwensie ........................................................................ 54
Waarskynlikhede van saamgestelde gebeurtenisse .......................................................................... 54
Notas
Webtuiste : https://skoolnotas.company.site/
Whatsapp : 081 369 9131
Hierdie notas mag nie herverkoop, gekopieer, versprei of onder ‘n nuwe lisensie verkoop word nie.
Natuurlike getalle
→ Natuurlike getalle (N) word gebruik om alledaagse dinge soos appels of boeke te
tel.
→ Natuurlike getalle is 1, 2, 3, 4, 5, 6, 7, 8, 9, ensovoorts.
→ Hier is 3 en 8, twee natuurlike getalle op die getallelyn.
→ Ons wys die twee getalle as kolletjies op die getallelyn, aangesien hulle elk ’n
spesifieke waarde het.
Telgetalle
→ Die groep telgetalle (N0) sluit al die natuurlike getalle in plus die getal 0.
→ Sommige wiskundiges sluit nul by die natuurlike getalle in en gebruik nie
telgetalle as ’n versameling nie.
Heelgetalle
→ Heelgetalle (Z) sluit nul en al die positiewe en negatiewe telgetalle in.
→ Ons gebruik heelgetalle byvoorbeeld om temperature onder vriespunt aan te
toon.
→ Heelgetalle word wiskundig gebruik in berekeninge soos hierdie : 5 - 8.
→ Hierdie berekeninge is in die formaat a - b, waar a < b.
→ Die getallelyn toon vir ons dat 5 - 8 = - 3.
Rasionale getalle
a
→ Rasionale getalle (Q) is getalle wat as breuke geskryf kan word in die vorm ,
b
waar a en b telgetalle is en b ≠ 0.
1
→ Die getal 2 (1 deel uit 2 dele) is ’n rasionale getal.
Irrasionale getalle
→ Irrasionale getalle (Q’) kan nie as ’n heelgetal gedeel deur ’n heelgetal uitgedruk
word nie.
→ ’n Getal kan nie irrasionaal sowel as rasionaal wees nie.
a
→ Irrasionale getalle kan nie in die vorm b geskryf word nie.
→ Hulle is nie-herhalende, nie-eindige desimale getalle.
22
→ Wanneer ons berekeninge met π doen, gebruik ons ’n benaderde waarde, soos 7
of 3.14.
3
The benefits of buying summaries with Stuvia:
Guaranteed quality through customer reviews
Stuvia customers have reviewed more than 700,000 summaries. This how you know that you are buying the best documents.
Quick and easy check-out
You can quickly pay through credit card or Stuvia-credit for the summaries. There is no membership needed.
Focus on what matters
Your fellow students write the study notes themselves, which is why the documents are always reliable and up-to-date. This ensures you quickly get to the core!
Frequently asked questions
What do I get when I buy this document?
You get a PDF, available immediately after your purchase. The purchased document is accessible anytime, anywhere and indefinitely through your profile.
Satisfaction guarantee: how does it work?
Our satisfaction guarantee ensures that you always find a study document that suits you well. You fill out a form, and our customer service team takes care of the rest.
Who am I buying these notes from?
Stuvia is a marketplace, so you are not buying this document from us, but from seller skoolnotas. Stuvia facilitates payment to the seller.
Will I be stuck with a subscription?
No, you only buy these notes for $5.54. You're not tied to anything after your purchase.