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  • GETSenPhaseMaths display tagshide tags

    This module is included inLens: Siyavula: Mathematics (Gr. 7-9)
    By: Siyavula

    Review Status: In Review

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Getallepatrone (Fibonacci spiraal)

Module by: Siyavula Uploaders. E-mail the author

WISKUNDE

Getalpatrone

OPVOEDERS AFDELING

Memorandum

6.

a) 1 7 21 35 35 21 7 1

1 8 28 56 70 56 28 8 1

1 9 36 84 126 126 84 36 9 1

b).

i) Antwoorde sal verskil – hang af watter ry gekies is

ii) Die som van die boonste 2 getalle in die “driehoek” is die derde getal onder

  • iii) 1; 2; 4; 8; 16; 32; 64; ens.

Antwoorde verdubbel (x2)

iv) 512

LEERDERS AFDELING

Inhoud

AKTIWITEIT: Getallepatrone (Fibonacci spiraal) [LU 2.1, LU 2.2]

Fibonacci se spiraal

Figuur 1
Figuur 1 (graphics1.jpg)

6. Het jy geweet?

In die 17de eeu was daar ’n Franse Wiskundige, Blaise Pascal. Die volgende interessante patroon is na hom vernoem en word “Pascal se driehoek” genoem.

Tabel 1
            1            
          1   1          
        1   2   1        
      1   3   3   1      
    1   4   6   4   1    
  1   5   10   10   5   1  
1   6   15   20   15   6   1

_____________________________________________________________________

a) Kan jy die volgende drie rye hierbo voltooi?___________________________

b) Werk saam met ’n maat en:

(i) Kies enige diagonaal (skuins ry). Watter patroon sien julle raak?______________

_____________________________________________________________________

_____________________________________________________________________

ii) Verduidelik aan jou maat hoe Pascal se driehoek werk.

iii) Bepaal die som van elke ry. Watter patroon word gevorm?

_____________________________________________________________________

_____________________________________________________________________

iv) Wat sal die som van die 10de ry wees?

_____________________________________________________________________

_____________________________________________________________________

Assessering

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 2.1: Dit is duidelik wanneer die leerder numeriese en meetkundige patrone ondersoek en uitbrei op soek na ‘n verwantskap of reëls, insluitend patrone.

Assesseringstandaard 2.2: Dit is duidelik wanneer die leerder verwantskappe of reëls wat waargeneem is, in eie woorde beskryf, verduidelik en bewys.

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Definition of a lens

Lenses

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