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Samenvatting Wiskunde 1: Bewerkingen
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In deze samenvatting vind je de theorie die je moet kunnen toepassen voor bewerkingen.
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Wiskunde 1: Bewerkingen1
,Bewerkingen...........................................................................................................................................4
Inleiding op bewerkingen.......................................................................................................................4
a) Optellen, aftrekken, vermenigvuldigen en delen........................................................................4
a. Optellen betekent...................................................................................................................4
b. Aftrekken betekent:................................................................................................................4
c. Vermenigvuldigen betekent:...................................................................................................4
d. Delen betekent:......................................................................................................................5
b) Gebruikte terminologie..............................................................................................................5
a. De optelling.............................................................................................................................5
b. De aftrekking...........................................................................................................................5
c. De vermenigvuldiging..............................................................................................................5
d. De deling.................................................................................................................................6
c) Rekenwijzen................................................................................................................................6
a. Hoofdrekenen.........................................................................................................................6
b. Cijferen...................................................................................................................................7
c. Schattend rekenen..................................................................................................................7
d. Rekenen met de zakrekenmachine.........................................................................................7
d) Volgorde van bewerkingen.........................................................................................................7
Hoofdrekenen.........................................................................................................................................8
a) Elementaire rekenfeiten.............................................................................................................8
a. Duiding: parate kennis – automatiseren.................................................................................8
b. Optelling en aftrekkingen tot 20 (1e en 2e leerjaar)................................................................8
c. Maaltafels en deeltafels tot 10 (2e en 3e leerjaar)...................................................................9
b) Standaardprocedures...............................................................................................................10
a. Optellen................................................................................................................................10
b. Aftrekken..............................................................................................................................10
c. Vermenigvuldigen.................................................................................................................11
d. Delen....................................................................................................................................11
c) Flexibel rekenen: methodes......................................................................................................12
a. Optellen en aftrekken...........................................................................................................12
b. Vermenigvuldigen en delen..................................................................................................13
d) Nog enkele rekenvoordelen.....................................................................................................15
a. Delen door 4/ delen door 8...................................................................................................15
b. Vermenigvuldigen met 4/ vermenigvuldigen met 8.............................................................15
c. Vermenigvuldigen met 10/100/1 000...................................................................................16
d. Delen door 10/100/1 000.....................................................................................................16
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, e. Vermenigvuldigen met 5/50/25............................................................................................16
f. Delen door 5/50/25...............................................................................................................16
g. Verhoudingsdeling................................................................................................................16
e) Hoofdrekenen met kommagetallen..........................................................................................16
a. Vermenigvuldigen door minstens één factor om te zetten in een breuk..............................17
b. Vermenigvuldigen met 0,1/0,01/0,001.................................................................................17
c. Vermenigvuldigen met 0,5/0,25............................................................................................18
d. Delen door 0,1/0,01/0,001.......................................................................................................18
e. Delen door 0,5/0,25..............................................................................................................18
Cijferen.............................................................................................................................................18
a) Gebruikte terminologie............................................................................................................18
a. Optellen................................................................................................................................18
b. Aftrekken..............................................................................................................................18
c. Vermenigvuldigen.................................................................................................................19
d. Delen....................................................................................................................................19
b) Cijferalgoritmes........................................................................................................................19
ZIE BOEK PAGINA 75 TOT 82.....................................................................................................19
c) Controlestrategieën..................................................................................................................19
a. Schatten................................................................................................................................19
b. Het resultaat toetsen aan de context...................................................................................20
c. De omgekeerde bewerking uitvoeren...................................................................................20
d. Het gebruik van een rekenmachine als controlemechanisme..............................................20
Schattend rekenen............................................................................................................................21
a) Wanneer ga je schattend rekenen............................................................................................21
b) Schattend optellen en aftrekken..............................................................................................21
c) Schattend vermenigvuldigen en delen......................................................................................21
d) Schattend rekenen met onvolledige gegevens.........................................................................22
e) Schatten: een rekenkant en een meetkant...............................................................................22
Rekenen met de rekenmachine........................................................................................................22
..................................................................................................................................................23
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