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Samenvatting Kennisbasis rekenen en wiskunde PABO
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Dit is een samenvatting voor de landelijke kennisbasis toets rekenen.
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Samenvatting8-1-2021
Kennisbasis rekenen en wiskunde
Veerle Erich
,Inhoudsopgave
Referentie maten....................................................................................................................................................... 3
Domein 1: Hele getallen (20 vragen)........................................................................................................................... 5
Deelbaarheidskenmerken...................................................................................................................................................5
Talstelsels............................................................................................................................................................................6
Tellen/ getal betekenis........................................................................................................................................................9
Ontwikkelingsniveaus rekenen.........................................................................................................................................10
Combinatoriek/ faculteit...................................................................................................................................................11
Eigenschappen..................................................................................................................................................................11
Strategieën bij optellen/ aftrekken/ vermenigvuldigen/ delen........................................................................................12
Modellen...........................................................................................................................................................................15
Begrippen..........................................................................................................................................................................17
Domein 2: Verhoudingen, procenten, breuken en kommagetallen (19 vragen)..........................................................19
Verhoudingen....................................................................................................................................................................19
Modellen voor verhoudingen.......................................................................................................................................19
Verhoudingen en (ver)delen.........................................................................................................................................20
Procenten..........................................................................................................................................................................21
Modellen voor procenten.............................................................................................................................................21
Procenten in drie situaties............................................................................................................................................23
Breuken.............................................................................................................................................................................24
Begrippen..........................................................................................................................................................................26
Domein 3: meten (11 vragen)................................................................................................................................... 28
Metriek stelsel...................................................................................................................................................................29
Imperiale systeem.............................................................................................................................................................31
Tempratuur.......................................................................................................................................................................32
Tijd.....................................................................................................................................................................................32
Omtrek berekenen............................................................................................................................................................32
Oppervlakte.......................................................................................................................................................................33
Inhoud berekenen.............................................................................................................................................................33
Stelling van Pythagoras....................................................................................................................................................36
Grafieken...........................................................................................................................................................................36
Begrippen..........................................................................................................................................................................37
Domein 4: Meetkunde (8 vragen)............................................................................................................................. 38
Lijnen.................................................................................................................................................................................38
1
, Ruimtelijke figuren............................................................................................................................................................38
Platonische lichamen........................................................................................................................................................39
Hoeken..............................................................................................................................................................................40
Driehoek........................................................................................................................................................................40
Hellingspercentage berekenen.....................................................................................................................................40
Tanges...........................................................................................................................................................................41
Arctanges......................................................................................................................................................................42
Hoeken berekenen........................................................................................................................................................43
Veelhoeken...................................................................................................................................................................44
Meetkundige activiteiten..................................................................................................................................................45
Domein 5: Verbanden (8 vragen).............................................................................................................................. 46
Grafische weergave..........................................................................................................................................................46
BEgrippen..........................................................................................................................................................................49
2
, REFERENTIE MATEN
Nederland, Europa, Wereld
Aantal inwoners Nederland 17 miljoen
0-21 jaar 3,8 miljoen
20-40 jaar 4,1 miljoen
40-65 jaar 5,9 miljoen
65-80 jaar 2,2 miljoen
Ouder dan 80 jaar 0,71 miljoen
Bevolkingsgroei Nederland 200 mensen per dag
Aantal inwoners Europa 840 miljoen
Aantal inwoners wereld 7 miljard
Aantal inwoners Amsterdam 800.000
Aantal inwoners Rotterdam 600.000
Aantal inwoners Noord-Holland 2,7 miljoen
Afmetingen Nederland 41.500 km ²
Afmetingen aarde 510.100.000 km²
Aantal inwoners per km² Nederland 408
Snelheid
Snelheid wandelaar 5 km/u
Snelheid fietser 18 km/u
Snelheid auto 100 km/u
Snelheid trein 110 km/u
Snelheid verkeersvliegtuig 1000 km/u
Snelheid geluid 340 m/s
Snelheid wedstrijdschaatser 50 km/u
Snelheid professioneel wielrenner 45 km/u
Snelheid marathonloper 9 km/u
Lichaamsmaten
Lengte man 180 cm
Lengte vrouw 169 cm
Gewicht man 89 kilo
Gewicht vrouw 79 kilo
Aantallen in Nederland
Aantal fietsen 19 miljoen
Aantal auto’s 8 miljoen
Aantal mobiele telefoons 15 miljoen
Aantal huishoudens 7,5 miljoen
Aantal honden 1,5 miljoen
Aantal katten 3 miljoen
Onderwijs in Nederland
Aantal basisscholen 6700
Aantal basisschoolleerlingen 1,5 miljoen
Aantal leerlingen per school 220
Overheidsuitgaven primair onderwijs 10 miljard
Romans
Aantal pagina’s per roman 200
Aantal woorden per pagina 250 – 300
3
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