<< Chapter < Page
  Wiskunde graad 6   Page 1 / 1
Chapter >> Page >

Wiskunde

Gewone breuke en desimale breuke

Gewone breuke

Opvoeders afdeling

Memorandum

INLEIDING

Daar is 5 modules:

1. Getalbegrip, Optelling en Aftrekking

2. Vermenigvuldiging en Deling

3. Breuke en Desimale Breuke

4. Meting en Tyd

5. Meetkunde; Datahantering en Waarskynlikheid

4 Dit is belangrik dat opvoeders die modules in volgorde (soos hierbo genoem) sal doen, aangesien die leerders die vorige module se kennis en vaardighede benodig vir die daaropvolgende module.

3. GEWONE EN DESIMALE BREUKE (LU 1; 2 EN 5)

LEEREENHEID 1 FOKUS OP GEWONE BREUKE

  • Hierdie module is ‘n voortsetting van die werk wat in graad 5 gedoen is. Daar word uitgebrei op die optelling en aftrekking van breuke, en die berekening van ‘n breuk van ‘n sekere hoeveelheid word ook hersien.
  • Maak seker dat die leerders die korrekte terminologie bemeester het, asook die korrekte strategieë om bogenoemde korrek te bereken.
  • Kritieke Uitkoms 5 (Effektiewe kommunikasie deur visuele, simboliese, en/of taalvaardighede op verskillende maniere te gebruik) is hier van toepassing.
  • 3 weke behoort voldoende te wees om hierdie module te voltooi.
  • ** Aktiwiteit 17 is ‘n taak vir die portefeulje. Hoewel dit ‘n baie eenvoudige opdrag is, moet leerders in staat wees om dit netjies en akkuraat uit te voer. Leerders moet voor die tyd weet hoe opvoeders die taak gaan assesseer.

LEEREENHEID 2 FOKUS OP DESIMALE BREUKE

  • Hierdie module is ‘n uitbreiding op werk wat in graad 5 afgehandel is. Leerders moet nou in staat wees om desimale breuke korrek af te rond tot die naaste tiende, honderdste en duisendste. Beklemtoon weer die korrekte metode om op te tel en af te trek (vertikaal). Gee ook baie aandag aan die vermenigvuldiging en deling van desimale breuke.
  • Aangesien leerders laasgenoemde nogal moeiliker vind, kan 3 - 4 weke aan dié module spandeer word.
  • ** Aktiwiteit 19 is ‘n taak vir die portefeulje. Die opdrag is baie eenvoudig, maar leerders moet in staat wees om dit netjies en akkuraat uit te voer. Leerders moet voor die tyd weet hoe opvoeders die taak gaan assesseer.

1.1 7 8 size 12{ { { size 8{7} } over { size 8{8} } } } {}

1.2 14 9 size 12{ { { size 8{"14"} } over { size 8{9} } } } {} = 1 5 9 size 12{ { { size 8{5} } over { size 8{9} } } } {}

1.3 18 14 size 12{ { { size 8{"18"} } over { size 8{"14"} } } } {} = 1 2 7 size 12{ { { size 8{2} } over { size 8{7} } } } {}

1.4 14 10 size 12{ { { size 8{"14"} } over { size 8{"10"} } } } {} = 2 5 size 12{ { { size 8{2} } over { size 8{5} } } } {}

Leerders afdeling

Inhoud

Aktiwiteit: om te bereken deur bewerkings te kies wat geskik is om probleme op te los [lu 1.8.3]

Noudat ons vinnig weer optelling van breuke hersien het, behoort jy nie met die volgende te sukkel nie! Werk op jou eie en bereken:

1.1 1 8 size 12{ { {1} over {8} } } {} + 3 4 size 12{ { {3} over {4} } } {} 1.2 2 3 size 12{ { {2} over {3} } } {} + 8 9 size 12{ { {8} over {9} } } {}

1.3 4 7 size 12{ { {4} over {7} } } {} + 10 14 size 12{ { {"10"} over {"14"} } } {} 1.4 9 10 size 12{ { {9} over {"10"} } } {} + 1 2 size 12{ { {1} over {2} } } {}

Het jy geweet?

X 4X 4Soms moet ons ‘n gemene noemer soek. In bv. 1 3 size 12{ { {1} over {3} } } {} + 1 4 size 12{ { {1} over {4} } } {} is dit moeilik om derdes na kwarte of kwarte na derdes te verander. Jy kry die gemene noemer deur die twee noemers met mekaar te vermenigvuldig. In ons voorbeeld is die gemene noemer 3 x 4 = 12. Ons noem 12 die kleinste gemene veelvoud van 3 en 4.

X 3X 3 Dus: 1 3 size 12{ { {1} over {3} } } {} + 1 4 size 12{ { {1} over {4} } } {} ( 1 3 size 12{ { {1} over {3} } } {} = 4 12 size 12{ { {4} over {"12"} } } {} )

= 4 12 size 12{ { {4} over {"12"} } } {} + 3 12 size 12{ { {3} over {"12"} } } {} ( 1 4 size 12{ { {1} over {4} } } {} = 3 12 size 12{ { {3} over {"12"} } } {} )

= 7 12 size 12{ { {7} over {"12"} } } {}

As ons dit teken, lyk dit so:

1 3 size 12{ { {1} over {3} } } {} 1 4 size 12{ { {1} over {4} } } {}

4 12 size 12{ { {4} over {"12"} } } {} 3 12 size 12{ { {3} over {"12"} } } {}

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 1.8: skat en bereken deur geskikte bewerkings vir die oplossing van probleme in verband met die volgende te kies en te gebruik:

1.8.3 optel en aftrek van gewone breuke met noemers wat veelvoude van mekaar is en heelgetalle met gewone breuke (gemengde breuke);

Questions & Answers

show that the set of all natural number form semi group under the composition of addition
Nikhil Reply
explain and give four Example hyperbolic function
Lukman Reply
_3_2_1
felecia
⅗ ⅔½
felecia
_½+⅔-¾
felecia
The denominator of a certain fraction is 9 more than the numerator. If 6 is added to both terms of the fraction, the value of the fraction becomes 2/3. Find the original fraction. 2. The sum of the least and greatest of 3 consecutive integers is 60. What are the valu
SABAL Reply
1. x + 6 2 -------------- = _ x + 9 + 6 3 x + 6 3 ----------- x -- (cross multiply) x + 15 2 3(x + 6) = 2(x + 15) 3x + 18 = 2x + 30 (-2x from both) x + 18 = 30 (-18 from both) x = 12 Test: 12 + 6 18 2 -------------- = --- = --- 12 + 9 + 6 27 3
Pawel
2. (x) + (x + 2) = 60 2x + 2 = 60 2x = 58 x = 29 29, 30, & 31
Pawel
ok
Ifeanyi
on number 2 question How did you got 2x +2
Ifeanyi
combine like terms. x + x + 2 is same as 2x + 2
Pawel
x*x=2
felecia
2+2x=
felecia
Mark and Don are planning to sell each of their marble collections at a garage sale. If Don has 1 more than 3 times the number of marbles Mark has, how many does each boy have to sell if the total number of marbles is 113?
mariel Reply
Mark = x,. Don = 3x + 1 x + 3x + 1 = 113 4x = 112, x = 28 Mark = 28, Don = 85, 28 + 85 = 113
Pawel
how do I set up the problem?
Harshika Reply
what is a solution set?
Harshika
find the subring of gaussian integers?
Rofiqul
hello, I am happy to help!
Shirley Reply
please can go further on polynomials quadratic
Abdullahi
hi mam
Mark
I need quadratic equation link to Alpa Beta
Abdullahi Reply
find the value of 2x=32
Felix Reply
divide by 2 on each side of the equal sign to solve for x
corri
X=16
Michael
Want to review on complex number 1.What are complex number 2.How to solve complex number problems.
Beyan
yes i wantt to review
Mark
use the y -intercept and slope to sketch the graph of the equation y=6x
Only Reply
how do we prove the quadratic formular
Seidu Reply
please help me prove quadratic formula
Darius
hello, if you have a question about Algebra 2. I may be able to help. I am an Algebra 2 Teacher
Shirley Reply
thank you help me with how to prove the quadratic equation
Seidu
may God blessed u for that. Please I want u to help me in sets.
Opoku
what is math number
Tric Reply
4
Trista
x-2y+3z=-3 2x-y+z=7 -x+3y-z=6
Sidiki Reply
can you teacch how to solve that🙏
Mark
Solve for the first variable in one of the equations, then substitute the result into the other equation. Point For: (6111,4111,−411)(6111,4111,-411) Equation Form: x=6111,y=4111,z=−411x=6111,y=4111,z=-411
Brenna
(61/11,41/11,−4/11)
Brenna
x=61/11 y=41/11 z=−4/11 x=61/11 y=41/11 z=-4/11
Brenna
Need help solving this problem (2/7)^-2
Simone Reply
x+2y-z=7
Sidiki
what is the coefficient of -4×
Mehri Reply
-1
Shedrak
A soccer field is a rectangle 130 meters wide and 110 meters long. The coach asks players to run from one corner to the other corner diagonally across. What is that distance, to the nearest tenths place.
Kimberly Reply
Jeannette has $5 and $10 bills in her wallet. The number of fives is three more than six times the number of tens. Let t represent the number of tens. Write an expression for the number of fives.
August Reply
What is the expressiin for seven less than four times the number of nickels
Leonardo Reply
How do i figure this problem out.
how do you translate this in Algebraic Expressions
linda Reply
why surface tension is zero at critical temperature
Shanjida
I think if critical temperature denote high temperature then a liquid stats boils that time the water stats to evaporate so some moles of h2o to up and due to high temp the bonding break they have low density so it can be a reason
s.
Need to simplify the expresin. 3/7 (x+y)-1/7 (x-1)=
Crystal Reply
. After 3 months on a diet, Lisa had lost 12% of her original weight. She lost 21 pounds. What was Lisa's original weight?
Chris Reply
hoe werk werkbord in wiskunde
Nel Reply
werkbord
Nel Reply

Get Jobilize Job Search Mobile App in your pocket Now!

Get it on Google Play




Source:  OpenStax, Wiskunde graad 6. OpenStax CNX. Sep 15, 2009 Download for free at http://cnx.org/content/col11072/1.1
Google Play and the Google Play logo are trademarks of Google Inc.

Notification Switch

Would you like to follow the 'Wiskunde graad 6' conversation and receive update notifications?

Ask