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Samenvatting Wiskunde 2
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Samenvatting, gebaseerd op cursus Wiskunde 2.
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Wiskunde 2Wiskunde 2
1 BALO
, Pagina |2
Inhoud
1 Getallenkennis.....................................................................................................................................5
1.1 Hoeveelheden vergelijken en ordenen.........................................................................................5
1.2 Hoeveelheden tellen.....................................................................................................................5
1.3 Hoeveelheden herkennen en vormen..........................................................................................5
1.4 Natuurlijke getallen......................................................................................................................5
1.4.1 Getalaspecten........................................................................................................................5
1.4.2 Tientalligheid en plaatswaardesysteem.................................................................................6
1.4.3 Splitsen, herstructureren en groeperen.................................................................................6
1.4.4 Tweecijferige getallen............................................................................................................6
1.4.5 Getallenrij..............................................................................................................................6
1.4.6 Aanbrengen van getallen.......................................................................................................7
1.4.7 Leerlijn...................................................................................................................................7
1.4.8 Materiaal...............................................................................................................................7
1.5 Breuken........................................................................................................................................7
1.5.1 Materiaal...............................................................................................................................8
1.5.2 Vormsoorten van een breuk..................................................................................................8
1.5.2.1 Eerlijk verdelen...............................................................................................................9
1.5.2.2 Als deel van één geheel..................................................................................................9
1.5.2.3 Als resultaat van een verdeling van meerdere gehelen..................................................9
1.5.2.4 Als operator....................................................................................................................9
1.5.2.5 Als verfijnde maat...........................................................................................................9
1.5.2.6 Als verhouding................................................................................................................9
1.5.2.7 Als kans...........................................................................................................................9
1.5.2.8 Als schaal........................................................................................................................9
1.5.2.9 Als rationaal getal...........................................................................................................9
1.6 Kommagetallen...........................................................................................................................10
1.6.1 Materiaal.............................................................................................................................10
1.7 Percenten...................................................................................................................................11
1.8 Negatieve getallen......................................................................................................................11
1.9 Delers en veelvouden.................................................................................................................11
1.9.1 Priemgetallen.......................................................................................................................11
1.9.2 Deelbaarheidskenmerk van 5..............................................................................................12
1.9.3 Deelbaarheidskenmerk van 4..............................................................................................12
1.9.4 Deelbaarheidskenmerk van 9..............................................................................................12
1.10 Andere talstelsels.....................................................................................................................13
, Pagina |3
1.10.1 Additioneel talstelsel: Romeinse talstelsel.........................................................................13
1.10.2 Positioneel talstelsel: Talstelsel Maya’s.............................................................................13
2 Bewerkingen......................................................................................................................................14
2.1 Optelling.....................................................................................................................................14
2.2 Aftrekking...................................................................................................................................14
2.3 Vermenigvuldiging......................................................................................................................14
2.4 Deling..........................................................................................................................................14
2.5 Optellen en aftrekken tot 100.....................................................................................................15
2.5.1 Methodes.............................................................................................................................15
2.5.1.1 Splitsmethode...............................................................................................................15
2.5.1.2 Doortelmethode...........................................................................................................16
2.6 Vermenigvuldigen en delen tot 10..............................................................................................16
2.6.1 Maaltafels............................................................................................................................16
2.6.2 Deeltafels.............................................................................................................................16
2.7 Schatten......................................................................................................................................17
2.8 Flexibel hoofdrekenen................................................................................................................17
2.8.1 Eigenschappen van bewerkingen.........................................................................................17
2.8.1.1 Wisselen........................................................................................................................17
2.8.1.2 Schakelen......................................................................................................................17
2.8.1.3 Splitsen en verdelen......................................................................................................17
2.8.1.4 Compenseren................................................................................................................17
2.8.2 Standaardprocedures..........................................................................................................18
2.8.2.1 Optelling en aftrekking..................................................................................................18
2.8.2.2 Vermenigvuldiging en deling.........................................................................................18
2.8.3 Didactische tips....................................................................................................................18
2.9 Hoofdrekenen met breuken.......................................................................................................19
2.9.1 Optellen en aftrekken..........................................................................................................19
2.9.2 Vermenigvuldigen................................................................................................................19
2.9.3 Delen....................................................................................................................................19
2.10 Hoofdrekenen met kommagetallen..........................................................................................20
2.10.1 Optellen en aftrekken........................................................................................................20
2.10.2 Vermenigvuldigen..............................................................................................................20
2.10.3 Delen..................................................................................................................................20
2.11 Cijferen.....................................................................................................................................21
2.11.1 Optellen.............................................................................................................................21
2.11.2 Aftrekken...........................................................................................................................21
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