1. Home

3. 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 me te ōrau: rautaki tatau; rautaki whakarōpū; rautaki tohatoha ōrite; rautaki tāpiripiri; rautaki whakarea māmā.

Thanks for visiting NZMaths.
We are preparing to close this site by the end of August 2024. Maths content is still being migrated onto Tāhūrangi, and we will be progressively making enhancements to Tāhūrangi to improve the findability and presentation of content.
 

For more information visit https://tahurangi.education.govt.nz/updates-to-nzmaths

Taumata 3
Ngā Rautaki Tau

3. 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 me te ōrau: rautaki tatau; rautaki whakarōpū; rautaki tohatoha ōrite; rautaki tāpiripiri; rautaki whakarea māmā.

Papa Pūkeko

Taumata 2
Taumata 3
Te Tau me te Taurangi
Maori Resource
Ko te kaupapa nei, he ako i te whakarea. Ko te Papa Pūkeko tētahi tūtohi tukutuku hei āwhina i te ākonga ki te whakaoti whakarea, hei tirotiro i ētahi rautaki whakarea, pērā i te tatau māwhitiwhiti.

Kia mōhio te ākonga ki:

  • te whakamahi i tētahi tūtohi tukutuku (te Papa Pūkeko) hei rautaki whakaoti whakareatanga
  • te tatau māwhitiwhiti hei rautaki whakaoti whakareatanga.
  • te whakamahi i ngā rōpū o te tekau, i ngā rōpū o te rima rānei hei whakaoti whakareatanga  
  • te whakamahi tau māmā hei300

Papa Whakarea (Kaupae 5)

Taumata 3
Te Tau me te Taurangi
Maori Resource
E hāngai ana tēnei kōwae ako ki te rauemi matihiko nei, te Papa Whakarea. Ko tā te Papa Whakarea, he āwhina i ngā ākonga ki te tūhura i ngā rautaki wāwāhi tau mō te whakarea. I tēnei kōwae ako, ka whakamahia te Papa Whakarea ki te whakarea i tētahi tau mati-2 ki tētahi tau mati-1. E rua atu anō...

Kia mōhio te ākonga ki te:

  • wāwāhi i tētahi tau mati-2 ki ōna tekau me ōna tahi
  • whakamahi i te Papa Whakarea ki te wāwāhi i ngā tau o roto i tētahi whakareatanga tau mati-2 mā te tau mati-1, ki te whakaoti hoki i taua whakareatanga
  • tuhi i tētahi pikitia ki te whakamārama i ngā rautaki wāwāhi tau300

Papa Whakarea (Kaupae 6)

Taumata 3
Te Tau me te Taurangi
Maori Resource
E hāngai ana tēnei kōwae ako ki te rauemi matihiko nei, te Papa Whakarea. Ko tā te Papa Whakarea, he āwhina i ngā ākonga ki te tūhura i ngā rautaki wāwāhi tau mō te whakarea. I tēnei kōwae ako, ka whakamahia te Papa Whakarea ki te whakarea i tētahi tau mati-rua ki tētahi tau mati-1. E hāngai ana ki...
Kia mōhio te ākonga ki te:
  • wāwāhi i tētahi tau mati-2 ki ōna tekau me ōna tahi
  • whakamahi i te Papa Whakarea ki te wāwāhi i ngā tau o roto i tētahi whakareatanga tau mati-2 mā te tau mati-1, ki te whakaoti hoki i taua whakareatanga
  • tuhi pikitia ki te whakamārama i ngā rautaki wāwāhi tau hei whak300

Tāhei Tāpiripiri (Kaupae 6)

Taumata 3
Te Tau me te Taurangi
Maori Resource
E hāngai ana tēnei kōwae ako ki te rauemi matihiko nei, te Tāhei Tāpiripiri. Ko tā te Tāhei Tāpiripiri he āwhina i ngā ākonga ki te tūhura i ngā rautaki wāwāhi tau mō te tāpiri. E hāngai ana ki te Kaupae 6 o Te Mahere Tau. Arā tētahi atu kōwae ako e pā ana ki te akoranga matihiko nei, te Tāhei...

Kia mōhio te ākonga ki te:

whakamārama i ā rātou rautaki

Te Hautau Me Te Kotahi

Taumata 3
Te Tau me te Taurangi
Maori Resource
Ko te kaupapa nei, he āta tirotiro i te hautanga o tētahi āhua, te hautanga o tētahi roa, me te hautanga o tētahi huinga. Ko te hononga o te hautanga ki te katoa o te āhua, te roa, te huinga rānei tētahi aronga matua.
Kia mōhio te ākonga:
  • ki te kimi mai i te hautau o tētahi āhua, tētahi roa, tētahi huinga rānei
  • ki te kimi mai i te katoa o tētahi āhua, tētahi roa, tētahi huinga rānei mēnā ka mōhiotia tētahi hautanga

Te Whakaaro Tūhonohono

Taumata 3
No strand
Maori Resource
I tēnei kōwae ako ka tūhurangia ētahi rautaki paheko tau e whai wāhi mai ana te whakaaro tūhonohono.

Kia mōhio te ākonga ki:

  • te whakaaro tūhonohono hei tūāpapa mō ētahi rautaki paheko tau, pērā i te ‘tau mamā me te tikanga paremata’ mō te tāpiritanga, te ‘tāpiritanga ōrite’ mō te tangohanga, me te ‘whakarea me te whakawehe whai pānga’ mō te whakarea.
  • te whakaatu rautaki tau ki te rauemi300

Te Whārite

Taumata 3
Te Tau me te Taurangi
Maori Resource
He tirotiro i te whakamahinga o te pū (reta) i roto i te whārite hei tohu i tētahi tau, i tētahi taurangi rānei.
Kia mōhio te ākonga ki te:
  • whakoti whārite pēnei i ēnei te āhua:
    • x + 2475 = 89326 
    • 89 326 – x = 2 475
    • x – 3 827 = 2 475
    • 36 × p = 252  
  • whakamahi, ki te tuhituhi hoki i te hoahoa rerenga me te hoahoa rerenga kōaro hei whakaoti whārite;
  • tuhi whārite hei whakaoti i ētahi rapanga āhua300