Pāngarau

whakaaro pānga riterite

proportional reasoning

tūingoa, tūmahi poro

WHAKAMĀRAMA

Ko te āhua o te whakaaro ka hua ake i te pānga whakarea kei waenganui i ētahi rahinga e rua, i ētahi taurangi e rua rānei.

The type of thinking that arises from a multiplicative relationship between two quantities or variables.

Tauira KŌrero

Kei te whakaaro pānga riterite a Hinewai, kāore anō rānei?

Whakamāramatia mai ō whakaaro pānga riterite.

Ko te whakaaro pānga riterite hei tūāpapa mō te mahi taurangi.

WhakamĀrama Āpitihanga

He rapanga tēnei hei whakaatu i te whakaaro pānga riterite, me te whakaaro tāpiripiri:

E rua ngā putiputi e tipu ana. Ka inea te teitei o ēnei putiputi:

putiputi 1

40cm

putiputi 2

20cm

I te paunga o te rua wiki, ka inea anō ngā putiputi nei:

inenga 1

inenga 2

putiputi 1

40cm

60cm

putiputi 2

20cm

40cm

Ko tēhea te putiputi he rahi rawa te tipu i roto i ēnei rua wiki?

E rua ngā whakautu e hāngai ana ki tēnei rapanga. Ko tētahi e whai ana i te whakaaro tāpiripiri, ko tētahi e whai ana i te whakaaro whakarea, arā, te whakaaro pānga riterite:

Whakaaro tāpiripiri: He ōrite te tipu o ia putiputi, arā, e 20cm te huringa tāpiri o ia putiputi.
putiputi 1: 40cm + 20cm = 60cm
putiputi 2: 20cm + 20cm = 40cm

Whakaaro whakarea: He rahi ake te tipu o te putiputi 2 i te putiputi 1. E rua whakareatanga te rahi o te tipu o te putiputi 2. Kotahi me te haurua whakareatanga te rahi o te tipu o te putiputi 1.
putiputi 1: 40cm × 11/2 = 60cm. Arā, 1.5 te huringa whakarea.
putiputi 2: 20cm × 2 = 40cm. Arā, e 2 te huringa whakarea.

Ka whakamahia te whakaaro pānga riterite hei whiriwhiri i ngā hautanga ōrite, i ngā pāpātanga ōrite me ngā ōwehenga ōrite. Hei tauira:

Takenga Mai

whakaaro - think

pānga - relationship

riterite - alike, corresponding

Tauira KŌrero

Kei te whakaaro pānga riterite a Hinewai, kāore anō rānei?

Whakamāramatia mai ō whakaaro pānga riterite.

Ko te whakaaro pānga riterite hei tūāpapa mō te mahi taurangi.

WhakamĀrama Āpitihanga