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Samenvatting Kennisbasis wiskunde
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Samenvatting/aantekeningen van theorie kennis basis wiskunde.
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LKT wiskundeInhoud
Eigenschappen van bewerkingen...........................................................................3
Talstelsels............................................................................................................... 4
Romeins talstelsel:........................................................................................... 4
Hexadecimale talstelsel:.................................................................................. 5
Figurale getallen..................................................................................................... 6
Driehoeksgetallen:........................................................................................... 6
Vierkantsgetallen............................................................................................. 6
Rechthoeksgetal:............................................................................................. 7
Rijen en reeksen..................................................................................................... 8
Negatieve getallen................................................................................................. 8
wetenschappelijke notatie...................................................................................... 9
Grote getallen:................................................................................................. 9
Kleine getallen:................................................................................................ 9
Vergelijkingen......................................................................................................... 9
Priemgetallen en ontbinden in priemfactoren......................................................10
KGV en GGD......................................................................................................... 10
De GGD.......................................................................................................... 10
het KGV:......................................................................................................... 12
Kansberekening.................................................................................................... 13
Kansberekening dobbelstenen.......................................................................13
Verhoudingen....................................................................................................... 14
Procenten............................................................................................................. 14
Rente berekenen............................................................................................ 14
Kommagetallen.................................................................................................... 15
Breuken................................................................................................................ 15
Optellen en aftrekken..................................................................................... 15
Vermenigvuldigen:......................................................................................... 16
Breuken delen:............................................................................................... 16
Metriek stelsel:..................................................................................................... 16
Oppervlakte van een rechthoekig figuur........................................................16
Oppervlakte van een vergroting....................................................................16
Inhoud berekenen van een vergroting...........................................................17
,Wiskundige figuren............................................................................................... 17
Gelijkvormigheid in ruimte figuren....................................................................17
Gelijkvormigheid en vergroten..........................................................................17
Tijd en snelheid.................................................................................................... 17
Hoeken................................................................................................................. 17
Symmetrie............................................................................................................ 17
Spiegelsymmetrie............................................................................................. 17
Draaisymmetrie................................................................................................. 18
Puntsymmetrie.................................................................................................. 18
Assenstelsel.......................................................................................................... 18
, Eigenschappen van bewerkingen
Eigenschap Bewerking Rekenvoorbeeld
1 Transformeren (termen Optellen 8+6 = 10+4
veranderen) Aftrekken 13-8 = 15 -10
2 Compenseren Optellen 7 + 9 = 7+ 10 -1
Aftrekken 13 – 9 = 13 – 10 + 1
3 Commutatieve Optellen 8+5=5+8
eigenschap Vermenigvuldigen 8x5=5x8
4 Associatieve eigenschap Optellen 5 + 8 + 12 = 8 + 12 + 5
(match making) Vermenigvuldigen 5 x 8 x 12,5 = 8 x 12,5 x
5
5 Groter én kleiner maken Vermenigvuldigen 6 x 15 = 3 x 30
6 Groter of kleiner maken Delen 12 : 5 = 24 : 10
7 Distributieve Vermenigvuldigen en 5 x 12 = 5 x 10 + 5 x 2
eigenschap (verdelen) optellen
Vermenigvuldigen en 5 x 23 = 5 x 25 – 5 x 2
aftrekken
Delen en optellen 20 : 4 = 12 : 4 = 8 : 4
Delen en aftrekken (15 – 9 ) : 3 = 15 : 3 – 9 :
3
Distributieve Vermenigvuldigen en (12 x 7) + (8 x 7) = 20 x
eigenschap (samen optellen 7
nemen ) Vermenigvuldigen en (12 x 7) – (8 x 7) = 4 x 7
aftrekken
Delen en optellen (15 : 3) + (6 : 3) = 21 :
3
Delen en aftrekken (15: 3) – (6 : 3) = 9 : 3
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