Samenvatting
Inhoudsopgave
kennisbasistoets
Rekenen 2022-2023
Domein getallen............................................................................................................................................ 6
Positioneel talstelsel (decimaal)...........................................................................................................................6
Binair positioneel getalsysteem...........................................................................................................................6
Hexadecimale positioneel getalsysteem..............................................................................................................7
Octale positioneel getalsysteem..........................................................................................................................8
Sexagesimaal positioneel talstelsel?....................................................................................................................8
Formeel, informeel en abstract?..........................................................................................................................9
Functies
van getallen. .9
Telgetal...9
Ordinaal
getal.................................................................................................................................................................9
Hoeveelheidsgetal...........................................................................................................................................9
Kardinaalgetal..................................................................................................................................................9
Meetgetal.........................................................................................................................................................9
Naamgetal........................................................................................................................................................9
Rekengetal.......................................................................................................................................................9
Verdelen...............................................................................................................................................................9
Opdelen................................................................................................................................................................9
Opvermenigvuldigen............................................................................................................................................9
Verschil nemen/vergelijken..................................................................................................................................9
Wegnemen/wegdenken.....................................................................................................................................10
, Schattend/precies...............................................................................................................................................10
Rijgen..................................................................................................................................................................10
Splitsen...............................................................................................................................................................10
Varia...................................................................................................................................................................10
Cijferend rekenen...............................................................................................................................................10
Cijferend optellen..........................................................................................................................................10
Cijferend aftellen...........................................................................................................................................10
Cijferend vermenigvuldigen..........................................................................................................................11
Cijferend delen..............................................................................................................................................11
Algoritmisch rekenen.........................................................................................................................................11
Kolomsgewijs rekenen........................................................................................................................................11
Eigenschapsrekenen...........................................................................................................................................11
Handig rekenen..................................................................................................................................................12
Compenseren......................................................................................................................................................12
Vergroten/verkleinen.........................................................................................................................................12
Flexibel rekenen..................................................................................................................................................12
Tellend rekenen..................................................................................................................................................12
Structurerend rekenen.......................................................................................................................................12
Formeel rekenen.................................................................................................................................................13
Commutatieve eigenschap.................................................................................................................................13
Distributieve eigenschap....................................................................................................................................13
Associatieve eigenschap.....................................................................................................................................13
Strook.................................................................................................................................................................13
Getallenlijn/lijnmodel.........................................................................................................................................13
Verhoudingstabel...............................................................................................................................................14
Dubbele getallenlijn...........................................................................................................................................14
Rechthoekmodel.................................................................................................................................................14
Groepjesmodel...................................................................................................................................................15
Pijlentaal............................................................................................................................................................15
Positieschema.....................................................................................................................................................16
Positiewaarde.....................................................................................................................................................16
Deeltal : deler = quotiënt....................................................................................................................................16
Vermenigvuldiger x vermenugvuldigtal = factor................................................................................................16
Som.....................................................................................................................................................................16
Product...............................................................................................................................................................16
Verschil...............................................................................................................................................................16
Priemgetal..........................................................................................................................................................17
Driehoeksgetal...................................................................................................................................................17
Vierkantsgetal (kwadraat).................................................................................................................................17
Rechthoeksgetal.................................................................................................................................................17
2
, Volmaakt getal...................................................................................................................................................17
KGV (kleinst gemeenschappelijke veelvoud)......................................................................................................18
Resultatief tellen................................................................................................................................................19
(A)synchroon tellen............................................................................................................................................19
Positioneren........................................................................................................................................................19
Steunpunt...........................................................................................................................................................19
Verkort tellen......................................................................................................................................................19
Objectgebonden handelen.................................................................................................................................19
Rest.....................................................................................................................................................................19
Deelbaarheidskenmerken..................................................................................................................................19
Additief getalstelsel............................................................................................................................................20
Voorbeeld opdrachten........................................................................................................................................20
Domein meten en meetkunde...................................................................................................................... 22
Standaardmaten................................................................................................................................................22
Natuurlijke en buitenlandse maten....................................................................................................................23
Inch................................................................................................................................................................23
Mile................................................................................................................................................................23
Kubieke centimeter (cc).................................................................................................................................23
Stap................................................................................................................................................................23
Duim...............................................................................................................................................................23
El....................................................................................................................................................................23
Vadem............................................................................................................................................................23
Voet................................................................................................................................................................23
Samengestelde grootheid..................................................................................................................................23
Meetnauwkeurigheid.........................................................................................................................................23
Referentiemaat en referentiegetal....................................................................................................................24
Meetinstrumenten.............................................................................................................................................24
Hoeken...............................................................................................................................................................24
Zomertijd/wintertijd...........................................................................................................................................24
Straal en diameter van cirkel en bol...................................................................................................................24
Oppervlakte, omtrek en inhoud berekenen.......................................................................................................24
Driehoek.........................................................................................................................................................24
Rechthoek......................................................................................................................................................25
Parallellogram................................................................................................................................................25
Cirkel..............................................................................................................................................................25
Samengestelde figuren..................................................................................................................................25
Balk................................................................................................................................................................25
Cilinder...........................................................................................................................................................25
Prisma............................................................................................................................................................25
Kegel..............................................................................................................................................................25
Piramide.........................................................................................................................................................25
Parallellepipedum..........................................................................................................................................25
Stelling van Pythagoras......................................................................................................................................25
Kwadratische en kubische vergroting................................................................................................................25
3
, Vlakke figuren....................................................................................................................................................26
Cirkel, Parallelogram, Ruit, Vierkant, Rechthoek, Vlieger, Trapezium..........................................................26
Regelmatige n-hoek.......................................................................................................................................26
Driehoek, Gelijkbenige driehoek, Gelijkzijdige driehoek..............................................................................26
Stomphoekige driehoek, Scherphoekige driehoek.......................................................................................26
Ruimtelijke figuren.............................................................................................................................................26
Prisma, Balk, Kubus, Cilinder, Bol, Kegel, Piramide, Parallellepipedum........................................................26
Platonische lichamen.........................................................................................................................................27
Regelmatig viervlak/Kubus, Regelmatig achtvlak, Regelmatig 12-vlak, Regelmatig 20-vlak........................27
Transformaties...................................................................................................................................................27
Roteren..........................................................................................................................................................27
Lijnspiegelen..................................................................................................................................................27
Puntspiegelen................................................................................................................................................27
Transleren/verschuiven.................................................................................................................................27
Snijdende lijn, Kruisende lijn, evenwijdige lijn....................................................................................................27
Viseren................................................................................................................................................................27
Oriënteren..........................................................................................................................................................28
Lokaliseren.........................................................................................................................................................28
Construeren........................................................................................................................................................28
Transformeren....................................................................................................................................................28
Symmetrie..........................................................................................................................................................28
Viseerlijn.............................................................................................................................................................28
Voorbeelden.......................................................................................................................................................28
Domein verhoudingen, breuken, procenten en kommagetallen....................................................................29
Teller/noemer/breukstreep................................................................................................................................29
Gelijkwaardige breuk vs gelijknamige breuk.....................................................................................................29
Equivalent...........................................................................................................................................................29
Rationaal getal...................................................................................................................................................29
Decimaal getal...................................................................................................................................................29
Gemengd getal...................................................................................................................................................29
Echte breuk.........................................................................................................................................................29
Stambreuk..........................................................................................................................................................29
Repetendum.......................................................................................................................................................29
Bemiddelende grootheid....................................................................................................................................29
Ondermaat.........................................................................................................................................................30
Repeterende breuk.............................................................................................................................................30
Procentenasymmetrie........................................................................................................................................35
Evenredig verband = lineair verband.................................................................................................................35
Procent...............................................................................................................................................................35
Promille..............................................................................................................................................................35
Operator.............................................................................................................................................................35
4
Inhoudsopgave
kennisbasistoets
Rekenen 2022-2023
Domein getallen............................................................................................................................................ 6
Positioneel talstelsel (decimaal)...........................................................................................................................6
Binair positioneel getalsysteem...........................................................................................................................6
Hexadecimale positioneel getalsysteem..............................................................................................................7
Octale positioneel getalsysteem..........................................................................................................................8
Sexagesimaal positioneel talstelsel?....................................................................................................................8
Formeel, informeel en abstract?..........................................................................................................................9
Functies
van getallen. .9
Telgetal...9
Ordinaal
getal.................................................................................................................................................................9
Hoeveelheidsgetal...........................................................................................................................................9
Kardinaalgetal..................................................................................................................................................9
Meetgetal.........................................................................................................................................................9
Naamgetal........................................................................................................................................................9
Rekengetal.......................................................................................................................................................9
Verdelen...............................................................................................................................................................9
Opdelen................................................................................................................................................................9
Opvermenigvuldigen............................................................................................................................................9
Verschil nemen/vergelijken..................................................................................................................................9
Wegnemen/wegdenken.....................................................................................................................................10
, Schattend/precies...............................................................................................................................................10
Rijgen..................................................................................................................................................................10
Splitsen...............................................................................................................................................................10
Varia...................................................................................................................................................................10
Cijferend rekenen...............................................................................................................................................10
Cijferend optellen..........................................................................................................................................10
Cijferend aftellen...........................................................................................................................................10
Cijferend vermenigvuldigen..........................................................................................................................11
Cijferend delen..............................................................................................................................................11
Algoritmisch rekenen.........................................................................................................................................11
Kolomsgewijs rekenen........................................................................................................................................11
Eigenschapsrekenen...........................................................................................................................................11
Handig rekenen..................................................................................................................................................12
Compenseren......................................................................................................................................................12
Vergroten/verkleinen.........................................................................................................................................12
Flexibel rekenen..................................................................................................................................................12
Tellend rekenen..................................................................................................................................................12
Structurerend rekenen.......................................................................................................................................12
Formeel rekenen.................................................................................................................................................13
Commutatieve eigenschap.................................................................................................................................13
Distributieve eigenschap....................................................................................................................................13
Associatieve eigenschap.....................................................................................................................................13
Strook.................................................................................................................................................................13
Getallenlijn/lijnmodel.........................................................................................................................................13
Verhoudingstabel...............................................................................................................................................14
Dubbele getallenlijn...........................................................................................................................................14
Rechthoekmodel.................................................................................................................................................14
Groepjesmodel...................................................................................................................................................15
Pijlentaal............................................................................................................................................................15
Positieschema.....................................................................................................................................................16
Positiewaarde.....................................................................................................................................................16
Deeltal : deler = quotiënt....................................................................................................................................16
Vermenigvuldiger x vermenugvuldigtal = factor................................................................................................16
Som.....................................................................................................................................................................16
Product...............................................................................................................................................................16
Verschil...............................................................................................................................................................16
Priemgetal..........................................................................................................................................................17
Driehoeksgetal...................................................................................................................................................17
Vierkantsgetal (kwadraat).................................................................................................................................17
Rechthoeksgetal.................................................................................................................................................17
2
, Volmaakt getal...................................................................................................................................................17
KGV (kleinst gemeenschappelijke veelvoud)......................................................................................................18
Resultatief tellen................................................................................................................................................19
(A)synchroon tellen............................................................................................................................................19
Positioneren........................................................................................................................................................19
Steunpunt...........................................................................................................................................................19
Verkort tellen......................................................................................................................................................19
Objectgebonden handelen.................................................................................................................................19
Rest.....................................................................................................................................................................19
Deelbaarheidskenmerken..................................................................................................................................19
Additief getalstelsel............................................................................................................................................20
Voorbeeld opdrachten........................................................................................................................................20
Domein meten en meetkunde...................................................................................................................... 22
Standaardmaten................................................................................................................................................22
Natuurlijke en buitenlandse maten....................................................................................................................23
Inch................................................................................................................................................................23
Mile................................................................................................................................................................23
Kubieke centimeter (cc).................................................................................................................................23
Stap................................................................................................................................................................23
Duim...............................................................................................................................................................23
El....................................................................................................................................................................23
Vadem............................................................................................................................................................23
Voet................................................................................................................................................................23
Samengestelde grootheid..................................................................................................................................23
Meetnauwkeurigheid.........................................................................................................................................23
Referentiemaat en referentiegetal....................................................................................................................24
Meetinstrumenten.............................................................................................................................................24
Hoeken...............................................................................................................................................................24
Zomertijd/wintertijd...........................................................................................................................................24
Straal en diameter van cirkel en bol...................................................................................................................24
Oppervlakte, omtrek en inhoud berekenen.......................................................................................................24
Driehoek.........................................................................................................................................................24
Rechthoek......................................................................................................................................................25
Parallellogram................................................................................................................................................25
Cirkel..............................................................................................................................................................25
Samengestelde figuren..................................................................................................................................25
Balk................................................................................................................................................................25
Cilinder...........................................................................................................................................................25
Prisma............................................................................................................................................................25
Kegel..............................................................................................................................................................25
Piramide.........................................................................................................................................................25
Parallellepipedum..........................................................................................................................................25
Stelling van Pythagoras......................................................................................................................................25
Kwadratische en kubische vergroting................................................................................................................25
3
, Vlakke figuren....................................................................................................................................................26
Cirkel, Parallelogram, Ruit, Vierkant, Rechthoek, Vlieger, Trapezium..........................................................26
Regelmatige n-hoek.......................................................................................................................................26
Driehoek, Gelijkbenige driehoek, Gelijkzijdige driehoek..............................................................................26
Stomphoekige driehoek, Scherphoekige driehoek.......................................................................................26
Ruimtelijke figuren.............................................................................................................................................26
Prisma, Balk, Kubus, Cilinder, Bol, Kegel, Piramide, Parallellepipedum........................................................26
Platonische lichamen.........................................................................................................................................27
Regelmatig viervlak/Kubus, Regelmatig achtvlak, Regelmatig 12-vlak, Regelmatig 20-vlak........................27
Transformaties...................................................................................................................................................27
Roteren..........................................................................................................................................................27
Lijnspiegelen..................................................................................................................................................27
Puntspiegelen................................................................................................................................................27
Transleren/verschuiven.................................................................................................................................27
Snijdende lijn, Kruisende lijn, evenwijdige lijn....................................................................................................27
Viseren................................................................................................................................................................27
Oriënteren..........................................................................................................................................................28
Lokaliseren.........................................................................................................................................................28
Construeren........................................................................................................................................................28
Transformeren....................................................................................................................................................28
Symmetrie..........................................................................................................................................................28
Viseerlijn.............................................................................................................................................................28
Voorbeelden.......................................................................................................................................................28
Domein verhoudingen, breuken, procenten en kommagetallen....................................................................29
Teller/noemer/breukstreep................................................................................................................................29
Gelijkwaardige breuk vs gelijknamige breuk.....................................................................................................29
Equivalent...........................................................................................................................................................29
Rationaal getal...................................................................................................................................................29
Decimaal getal...................................................................................................................................................29
Gemengd getal...................................................................................................................................................29
Echte breuk.........................................................................................................................................................29
Stambreuk..........................................................................................................................................................29
Repetendum.......................................................................................................................................................29
Bemiddelende grootheid....................................................................................................................................29
Ondermaat.........................................................................................................................................................30
Repeterende breuk.............................................................................................................................................30
Procentenasymmetrie........................................................................................................................................35
Evenredig verband = lineair verband.................................................................................................................35
Procent...............................................................................................................................................................35
Promille..............................................................................................................................................................35
Operator.............................................................................................................................................................35
4
