Skip to main content
Te Ōwehenga me te Hautau

Te Ōwehenga me te Hautau

PUKAPUKA

Te Ōwehenga me te Hautau

He Kōwae Ako Pāngarau

He kōwae ako e aro ana ki te ōwehenga me te hononga o tērā ki te hautau. Ka whakaaturia te hononga ki te marautanga, ngā whāinga ako, ngā rauemi ka whakamahia, te rārangi o ngā kupu matua, tae atu ki te raupapatanga o ngā mahi ako.

 | 

Ko te kaupapa nei, he tirotiro i te tikanga o tēnei mea te ōwehenga hautau me tōna hononga ki te . Kia rua wiki pea hei whakaoti i ngā mahi o tēnei kōwae ako.

4. Ka mōhio ki ngā hautau, ngā tau ā-ira, ngā ōrau me ngā ōwehenga māmā: ngā huringa hautanga: hautau ↔ tau ā-ira ↔ ōrau; ngā raupapa tatauranga tau ā-ira (haumano, haurau, hautekau); te raupapa hautau, tau ā-ira, ōrau hoki; te whiriwhiri hautau ōrite.

5. Ka kōwhiri, ka whakamārama i te rautaki e tino whaihua ana hei whakaoti rapanga e whai wāhi mai ana te tauoti, te hautau, te tau ā-ira, te ōrau, te ōwehenga, te tau tōpū me te taupū māmā: rautaki tatau; rautaki tāpiripiri; rautaki whakarea; rautaki pānga riterite māmā.

Taumata 4

Te Tau me te Taurangi (Te Mātauranga Tau me ngā Rautaki Tau)

Whāinga Paetae 4:

Ka mōhio ki ngā hautau, ngā tau ā-ira, ngā ōrau me ngā ōwehenga māmā:

  • ngā huringa hautanga: hautau ↔ tau ā-ira ↔ ōrau;
  • ngā raupapa tatauranga tau ā-ira (haumano, haurau, hautekau);
  • te raupapa hautau, tau ā-ira, ōrau hoki;
  • te whiriwhiri hautau ōrite.

 

Whāinga Paetae 5

Ka kōwhiri, ka whakamārama i te rautaki e tino whaihua ana hei whakaoti rapanga e whai wāhi mai ana te tauoti, te hautau, te tau ā-ira, te ōrau, te ōwehenga, te tau tōpū me te taupū māmā:

  • rautaki tatau;
  • rautaki tāpiripiri;
  • rautaki whakarea;
  • rautaki pānga riterite māmā.

Kia mōhio te ākonga:

  • ki te rerekētanga o te hautau me te ōwehenga me te hononga o tētahi ki tētahi.
  • ki te kimi mai i ngā ōwehenga ōrite.
  • ki te whakaoti rapanga e whai wāhi mai ana te ōwehenga
  • ki te kimi mai i ngā tapa o tētahi āhua whakarahi
  • Ko te ōwehenga, he whakatairite i ngā wāhanga o roto i tētahi mea.  (Hei tauira, ko te 1:5 – kotahi te wāhanga o tētahi mea, e 5 ngā wāhanga o tētahi atu, e 6 katoa ngā wāhanga).
  • Ka tino whakamahia tēnei mea te ōwehenga i roto i te mahi whakaranu,  (Hei tauira, ka whakaranua te wāhanga kotahi o te hinu me ngā wāhanga 50 o te kōhinu)
  • Ko te hautau, he whakatairite i tētahi wāhanga o tētahi mea ki te katoa o taua mea.  (Hei tauira, ko te ¼  - kotahi te wāhanga o roto i ngā wāhanga e whā katoa)
  • Ka noho pūmau ngā koki o tētahi āhua ina whakarahia taua āhua.
  • He pānga riterite i waenganui i ngā tapa o tētahi āhua me tōna āhua whakarahi

Whārangi Mahi 2

Whārangi Mahi 1

Whārangi Mahi 3

he waireka, he wai māori hei whakaranu

Whārangi Mahi 4

mataono honohono

pepa tukutuku

Whārangi Mahi 5

Whārangi Mahi 6

ōwehenga

ratio

ōwehenga ōrite

equivalent ratio

pānga riterite

proportional relationship

whakarahi

enlargement

whakatairite

compare

mataono honohono

multi-link cubes

taurahi

scale factor

Torohia te pouaka "Mō te rauemi" ki raro nei e kitea ai ngā rauemi hāngai: 

  • Te о̄wehenga me te hautau (.pdf)
  • Te о̄wehenga me te hautau WM 1 (.pdf)
  • Te о̄wehenga me te hautau WM 2 (.pdf)
  • Te о̄wehenga me te hautau WM 3 (.pdf)
  • Te о̄wehenga me te hautau WM 4 (.pdf)
  • Te о̄wehenga me te hautau WM 5 (.pdf)
  • Te о̄wehenga me te hautau WM 6 (.pdf)

He rerekē pea te kounga o ngā whakaahua kei tēnei whārangi nā tō momo pūrere matihiko, heoi anō, ki te tiki ake i ngā whakaahua, ka tika te kounga.

Mō te rauemi

Wāhanga Ako: Pāngarau - Te Tau me te Taurangi
Kohinga Whāiti: He Kōwae Ako Pāngarau
Taumata: Taumata 4

Ngā rawa kei tēnei rauemi: