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Wiskunde

Wiskunde in die wêreld rondom ons

Opvoeders afdeling

Memorandum

Kritieke- en ontwikkelings uitkomste

Die leerders moet uiteindelik kan:

1. probleme identifiseer en oplos, en ook besluite neem deur kritiese en kreatiewe denke;

2. doeltreffend saam met ander lede van ‘n span, groep, organisasie en gemeenskap werk;

3. hulself en hul aktiwiteite verantwoordelik en doeltreffend bestuur;

4. inligting versamel, ontleed, organiseer en krities evalueer;

5. doeltreffend kommunikeer deur middel van visuele, simboliese en/of taalvaardighede in verskillende vorme;

6. wetenskap en tegnologie doeltreffend en krities gebruik deur verantwoordelikheid teenoor die omgewing en die gesondheid van ander te toon;

7. begryp dat die wêreld ‘n stel verwante stelsels is waarin probleme nie in isolasie opgelos word nie;

8. na te dink oor en ondersoek te doen na ‘n verskeidenheid strategieë om doeltreffender te leer;

9. as verantwoordelike burgers aan die lewe van die plaaslike, nasionale en wêreldgemeenskap deel te neem;

10. in verskeie sosiale kontekste kultureel en esteties sensitief te wees;

11. opvoedings- en lberoepsmoontlikhede ondersoek; en

12. entrepreneursgeleenthede te ontwikkel.

  • Integrasie van Temas:
  • Inklusiwiteit: Wie mag aan sport deelneem? Net spanspelers? Moet almal ‘n kans gegun word? Maak jou eie grafiek om vas te stel watter leerders aan sport deelneem.
  • Sosiale Geregtighede: Vriende moet tyd saam deurbring bv. Hulle speel saam. Bespreek in klein groepies wat jou houding en gedrag moet wees as jy saam met jou maats speel.
  • ‘n Gesonde Omgewing: Waarom is sport belangrik? Bespreek veiligheid by die skool as sport beoefen word.
  • Getalbegrip word uitgebrei tot 50.
  • Tel in 2’e, 3’e, 4’e, 5’e en 10’e
  • Aktiwiteite met die kalender/almanak help die leerders om die maande in die regte volgorde te rangskik en ranggetalle te hersien.
  • Grafiek – ‘n weergrafiek kan voltooi word.
  • Samestellings van 10 word bekend gestel, en baie aktiwiteite word gegee om dit te versterk.
  • Meetaktiwiteite, insluitend vergelykings van hoogte, lengte en breedte, met die relevante woordeskat.
  • Inhoud – liter.
  • Geld - die identifisering van muntstukke en vorms is ingesluit.

Leerders afdeling

Inhoud

Aktiwiteit: groepering [lu 1.1, lu 1.2, lu 1.3, lu 1.4, lu 1.8, lu 1.9, lu 2.2]

Tien om te gaan!

  • Kyk na tien. Skryf jou eie somme om 10 te maak.

_______________________________ = 10

_______________________________ = 10

_______________________________ = 10

_______________________________ = 10

_______________________________ = 10

_______________________________ = 10

_______________________________ = 10

_______________________________ = 10

_______________________________ = 10

_______________________________ = 10

  • Omkring en verbind die getalle wat saam 10 maak.
  • Voltooi die driehoeke.

LU 1.9
  • Help vir Pa om 10 appels in ‘n kis te sit. Groepeer hulle.

LU 1.1 LU 1.3

Ons speel met stokke

LU 1.1 LU 1.3
  • Raai hoeveel stokke is in die kissie. _______________________ stokke.
  • Tel hulle. _____________________________________________stokke.
  • Groepeer die tien sodat hulle makliker getel kan word.
  • Tel die tiene.
  • Tel in tiene:
10 . . . .

10 + 10 = __________________________

50 - 10 = __________________________

20 + 10 = __________________________

40 - 10 = __________________________

30 + 10 = __________________________

30 - 10 = __________________________

LU 1.2 LU 1.3 LU 1.8
  • Voltooi die patrone.
LU 1.4 LU 2.2

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 1.1: Dit is duidelik wanneer die leerder tot minstens 100 alledaagse voorwerpe akkuraat tel;

Assesseringstandaard 1.2: Dit is duidelik wanneer die leerder aan en terug tel in:

1.2.1 ene vanaf enige getal tussen 0 en 200;

1.2.2 tiene vanaf enige veelvoud van 10 tussen 0 en 200;

1.2.3 vywe vanaf enige veelvoud van 5 tussen 0 en 200;

1.2.4 twees vanaf enige veelvoud van 2 tussen 0 en 200;

Assesseringstandaard 1.3: Dit is duidelik wanneer die leerder getalsimbole ken en lees van 1 tot minstens 200 en skryf getalname van 1 tot minstens 100;

Assesseringstandaard 1.4: Dit is duidelik wanneer die leerder orden, beskryf en vergelyk die volgende getalle:

1.4.1 heelgetalle tot minstens 2-syfergetalle;

1.4.2 gewone breuke insluitend halwes en kwarte;

Assesseringstandaard 1.8: Dit is duidelik wanneer die leerder die gepaste simbole in berekeninge gebruik om probleme op te los:

Assesseringstandaard 1.9: Dit is duidelik wanneer die leerder hoofberekeninge uitvoer;

Leeruitkomste 2: Die leerder is in staat om patrone en verwantskappe te herken, te beskryf en voor te stel en probleme op te los deur algebraïese taal en vaardighede te gebruik.

Assesseringstandaard 2.2: Dit is duidelik wanneer die leerder eenvoudige getalreekse kopieer en uitbrei tot minstens 200.

Questions & Answers

how did you get 1640
Noor Reply
If auger is pair are the roots of equation x2+5x-3=0
Peter Reply
Wayne and Dennis like to ride the bike path from Riverside Park to the beach. Dennis’s speed is seven miles per hour faster than Wayne’s speed, so it takes Wayne 2 hours to ride to the beach while it takes Dennis 1.5 hours for the ride. Find the speed of both bikers.
MATTHEW Reply
420
Sharon
from theory: distance [miles] = speed [mph] × time [hours] info #1 speed_Dennis × 1.5 = speed_Wayne × 2 => speed_Wayne = 0.75 × speed_Dennis (i) info #2 speed_Dennis = speed_Wayne + 7 [mph] (ii) use (i) in (ii) => [...] speed_Dennis = 28 mph speed_Wayne = 21 mph
George
Let W be Wayne's speed in miles per hour and D be Dennis's speed in miles per hour. We know that W + 7 = D and W * 2 = D * 1.5. Substituting the first equation into the second: W * 2 = (W + 7) * 1.5 W * 2 = W * 1.5 + 7 * 1.5 0.5 * W = 7 * 1.5 W = 7 * 3 or 21 W is 21 D = W + 7 D = 21 + 7 D = 28
Salma
Devon is 32 32​​ years older than his son, Milan. The sum of both their ages is 54 54​. Using the variables d d​ and m m​ to represent the ages of Devon and Milan, respectively, write a system of equations to describe this situation. Enter the equations below, separated by a comma.
Aaron Reply
find product (-6m+6) ( 3m²+4m-3)
SIMRAN Reply
-42m²+60m-18
Salma
what is the solution
bill
how did you arrive at this answer?
bill
-24m+3+3mÁ^2
Susan
i really want to learn
Amira
I only got 42 the rest i don't know how to solve it. Please i need help from anyone to help me improve my solving mathematics please
Amira
Hw did u arrive to this answer.
Aphelele
hi
Bajemah
-6m(3mA²+4m-3)+6(3mA²+4m-3) =-18m²A²-24m²+18m+18mA²+24m-18 Rearrange like items -18m²A²-24m²+42m+18A²-18
Salma
complete the table of valuesfor each given equatio then graph. 1.x+2y=3
Jovelyn Reply
x=3-2y
Salma
y=x+3/2
Salma
Hi
Enock
given that (7x-5):(2+4x)=8:7find the value of x
Nandala
3x-12y=18
Kelvin
please why isn't that the 0is in ten thousand place
Grace Reply
please why is it that the 0is in the place of ten thousand
Grace
Send the example to me here and let me see
Stephen
A meditation garden is in the shape of a right triangle, with one leg 7 feet. The length of the hypotenuse is one more than the length of one of the other legs. Find the lengths of the hypotenuse and the other leg
Marry Reply
how far
Abubakar
cool u
Enock
state in which quadrant or on which axis each of the following angles given measure. in standard position would lie 89°
Abegail Reply
hello
BenJay
hi
Method
I am eliacin, I need your help in maths
Rood
how can I help
Sir
hmm can we speak here?
Amoon
however, may I ask you some questions about Algarba?
Amoon
hi
Enock
what the last part of the problem mean?
Roger
The Jones family took a 15 mile canoe ride down the Indian River in three hours. After lunch, the return trip back up the river took five hours. Find the rate, in mph, of the canoe in still water and the rate of the current.
cameron Reply
Shakir works at a computer store. His weekly pay will be either a fixed amount, $925, or $500 plus 12% of his total sales. How much should his total sales be for his variable pay option to exceed the fixed amount of $925.
mahnoor Reply
I'm guessing, but it's somewhere around $4335.00 I think
Lewis
12% of sales will need to exceed 925 - 500, or 425 to exceed fixed amount option. What amount of sales does that equal? 425 ÷ (12÷100) = 3541.67. So the answer is sales greater than 3541.67. Check: Sales = 3542 Commission 12%=425.04 Pay = 500 + 425.04 = 925.04. 925.04 > 925.00
Munster
difference between rational and irrational numbers
Arundhati Reply
When traveling to Great Britain, Bethany exchanged $602 US dollars into £515 British pounds. How many pounds did she receive for each US dollar?
Jakoiya Reply
how to reduced echelon form
Solomon Reply
Jazmine trained for 3 hours on Saturday. She ran 8 miles and then biked 24 miles. Her biking speed is 4 mph faster than her running speed. What is her running speed?
Zack Reply
d=r×t the equation would be 8/r+24/r+4=3 worked out
Sheirtina
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Source:  OpenStax, Wiskunde graad 2. OpenStax CNX. Oct 12, 2009 Download for free at http://cnx.org/content/col11127/1.1
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