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Wiskunde

Graad 9

Getalpatrone

Grafiese voorstellings

Vergelykings

Statistiek

Waarskynlikheidsleer

Module 16

Om eenvoudige probleme op te los deur vergelykings te vorm

Aktiwiteit 1

Om eenvoudige probleme te doen deur vergelykings te vorm en op te los

[lu 2.2, 2.4]

Hoe word hierdie probleem gedoen?

Jamie se pa is vier keer so oud as Jamie. Sy pa is 40; hoe oud is Jamie?

a) Miskien moet ons baie hard dink en ‘n paar raaiskote waag, soos: As Jamie 1 is, is sy pa 4. Nie reg nie. Wat van 2 jaar oud? Ensovoorts.

b) Maak ‘n tabel en voltooi die spasies. Help dit?

Ouderdom 1 2 3 4
Ouderdom х 4 4 8 12 28 40

c) Teken ‘n vloeidiagram. Help dit?

  • Daar is duidelik nie veel verskil tussen die drie metodes nie – jy kan enigeen gebruik wat jou pas. Hulle is egter nie van veel waarde nie, want jy moet nog so baie raai. Vir moeiliker probleme word hierdie metodes onmoontlik om te gebruik.
  • Gelukkig is daar ‘n beter manier.
  • Die beste metode om hierdie probleem aan te pak is om ‘n vergelyking vanuit die inligting te vorm. Dan los ons die vergelyking op en skryf die antwoord neer uit die oplossing van die vergelyking.
  • Dis moeilik om vergelykings te vorm, maar dit word makliker met oefening.
  • Vir ‘n vergelyking benodig ons ‘n gelykaanteken en ‘n veranderlike (ons gebruik dikwels x , maar dit kan enige letter wees).

Jamie se pa is vier keer so oud as Jamie. Sy pa is 40; hoe oud is Jamie?

  • In die algemeen lyk die vergelyking so:
  • Vier maal Jamie se ouderdom = vader se ouderdom wat 40 is.
  • Die vraag vereis Jamie se ouderdom; dus: Laat Jamie se ouderdom x wees .
  • Nou word die vergelyking: 4 x = 40
  • Ons moet ‘n getal vind wat 40 gee as ons dit met 4 vermenigvuldig. As ons 40 deur 4 deel, is die antwoord 10. Dus moet х 10 wees, en Jamie is dus 10 jaar oud. Dis maklik om te bevestig dat dit die korrekte antwoord is.

‘n Probleem vir jou: Leon het 48 albasters. Amy het slegs ‘n derde soveel as Leon; hoeveel het sy? Gebruik die vorige metode.

Sit jou antwoord op hierdie manier uiteen:

Wat stel die veranderlike voor?.

  • Skryf ‘n vergelyking met hierdie veranderlike.
  • Los die vergelyking op.
  • Skryf die oplossing neer, m.a.w. wat die waarde van die veranderlike is.
  • Skryf die antwoord op die probleem in woorde neer.

Let op dat die eerste stap en laaste stap in woorde is, en die middelste stappe, algebra.

Oefening:

Vind die antwoorde op die volgende probleme:

1. Mnr. Jacobs het R295,45 in sy sak. Mev. Jacobs het R55,30 minder as haar man in haar handsak. Wat is die bedrag in haar handsak?

2. Ek dink aan ‘n getal. Ek vermenigvuldig dit met 7 en deel die antwoord deur 3. Die resultaat is 49. Wat is die getal waaraan ek gedink het? Onthou om jou antwoord te kontroleer.

3. In Amerika koop Joanie ‘n item wat $5,75 kos. Sy bereken dat dit R41,69 is as sy dollars na rande omskakel. Wat is die dollar–rand wisselkoers wat sy gebruik het?

Aktiwiteit 2

Om doeltreffende metodes te ontwikkel vir moeiliker probleme

[lu 2.3, 2.4]

  • Ons gaan nog woordsomme doen, maar ons gaan eers op die algebra in die oplossing konsentreer. Maak telkens seker dat jy weet wat elke stap beteken, en waarom dit gedoen word.
  • Party van die volgende probleme word deur hul oplossings gevolg. Probeer eers om self by die antwoord uit te kom voor jy verder lees. Vergelyk dan jou antwoord en die manier waarop jy dit uiteensit.

Questions & Answers

what does preconceived mean
sammie Reply
physiological Psychology
Nwosu Reply
How can I develope my cognitive domain
Amanyire Reply
why is communication effective
Dakolo Reply
Communication is effective because it allows individuals to share ideas, thoughts, and information with others.
effective communication can lead to improved outcomes in various settings, including personal relationships, business environments, and educational settings. By communicating effectively, individuals can negotiate effectively, solve problems collaboratively, and work towards common goals.
it starts up serve and return practice/assessments.it helps find voice talking therapy also assessments through relaxed conversation.
miss
Every time someone flushes a toilet in the apartment building, the person begins to jumb back automatically after hearing the flush, before the water temperature changes. Identify the types of learning, if it is classical conditioning identify the NS, UCS, CS and CR. If it is operant conditioning, identify the type of consequence positive reinforcement, negative reinforcement or punishment
Wekolamo Reply
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Wekolamo
because it helps many people around the world to understand how to interact with other people and understand them well, for example at work (job).
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Agreed 👍 There are many parts of our brains and behaviors, we really need to get to know. Blessings for everyone and happy Sunday!
ARC
A child is a member of community not society elucidate ?
JESSY Reply
Isn't practices worldwide, be it psychology, be it science. isn't much just a false belief of control over something the mind cannot truly comprehend?
Simon Reply
compare and contrast skinner's perspective on personality development on freud
namakula Reply
Skinner skipped the whole unconscious phenomenon and rather emphasized on classical conditioning
war
explain how nature and nurture affect the development and later the productivity of an individual.
Amesalu Reply
nature is an hereditary factor while nurture is an environmental factor which constitute an individual personality. so if an individual's parent has a deviant behavior and was also brought up in an deviant environment, observation of the behavior and the inborn trait we make the individual deviant.
Samuel
I am taking this course because I am hoping that I could somehow learn more about my chosen field of interest and due to the fact that being a PsyD really ignites my passion as an individual the more I hope to learn about developing and literally explore the complexity of my critical thinking skills
Zyryn Reply
good👍
Jonathan
and having a good philosophy of the world is like a sandwich and a peanut butter 👍
Jonathan
generally amnesi how long yrs memory loss
Kelu Reply
interpersonal relationships
Abdulfatai Reply
What would be the best educational aid(s) for gifted kids/savants?
Heidi Reply
treat them normal, if they want help then give them. that will make everyone happy
Saurabh
What are the treatment for autism?
Magret Reply
hello. autism is a umbrella term. autistic kids have different disorder overlapping. for example. a kid may show symptoms of ADHD and also learning disabilities. before treatment please make sure the kid doesn't have physical disabilities like hearing..vision..speech problem. sometimes these
Jharna
continue.. sometimes due to these physical problems..the diagnosis may be misdiagnosed. treatment for autism. well it depends on the severity. since autistic kids have problems in communicating and adopting to the environment.. it's best to expose the child in situations where the child
Jharna
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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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