He Rapanga Pāhekoheko

The Ministry is migrating nzmaths content to Tāhurangi.           
Relevant and up-to-date teaching resources are being moved to Tāhūrangi (tahurangi.education.govt.nz). 
When all identified resources have been successfully moved, this website will close. We expect this to be in June 2024. 
e-ako maths, e-ako Pāngarau, and e-ako PLD 360 will continue to be available. 

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

Te Ine me te Āhuahanga
Taumata 4

1.     Ka whakaoti rapanga whaitake:
  • ka kōwhiri, ka whakamahi i te waeine e hāngai ana mō te roa, te horahanga, te rōrahi (kītanga), te papatipu (taumaha), te paemahana, te koki me te wā;
  • ka whakawhitiwhiti waeine māmā;
  • ka whakamahi i ngā inenga tapa ki te whiriwhiri i te paenga me te horahanga o te tapawhā hāngai, me te rōrahi o te poro tapawhā hāngai;
  • ka tuhi, ka whakamārama, ka whakamahi hoki i ngā momo wātaka me ngā mahere;
  • ka mārama ki te whaitakenga o tētahi inenga.
5.     Ka whakaatu, ka whakamārama, ka whakamahi i te wāhi noho (taunga) o tētahi mea, me te ahunga:
  • ngā tōpito; ngā koki o te kāpehu; ngā āhuatanga o te taiao; te tukutuku (takirua raupapa); te mahere.

 

Te Rapanga
Te Pātai
Ngā Kōrero āwhina
He Kupu Matua
Te Otinga
4.11
 
 
E hia mitamano (mm) te roa o te paenga o te tapawhā hāngai?
 
 
  • E 6.4 mitarau (cm) te roa o te tapawhā hāngai.
  • Ka wāwāhia te tapawhā hāngai kia puta ētahi tapawhā rite e rua.
  • E 9.6 mitarau pūrua (9.6cm2) te horahanga o tētahi haurua o te tapawhā hāngai.
  • Ko te paenga te roa o ngā tapa katoa.
  • tapawhā hāngai
  • horahanga
  • mitarau pūrua (cm2)
188mm
4.12
 
 
E hia ngā pou o tētahi o ngā tapa poto o te pātiki?
 
 
  • E hanga taiapa ana a Horomona i tētahi pātiki o tana pāmu.
  • He tapawhā hāngai te āhua o te pātiki.
  • 110 katoa ngā pou o te taiapa.
  • E 7 te nui ake o ngā pou o ngā tapa roa o te pātiki i ērā i ngā tapa poto.
  • tapawhā hāngai
  • tapa
25
4.13
 
He aha te aronga whakamutunga o Tamanui?
 
 
  • I te tīmatanga e aro ana a Tamanui ki te rāwhiti.
  • Kotahi hautoru tana huringa whakatekaraka.
  • 53° tana huringa kōaro.
  • E 74.5° tana huringa whakatemauī.
  • rāwhiti
  • whakatekaraka
  • tākiri (putu) °
082.5° (mai i te raki)
4.14
 
 
E hia mitarau (cm) te roa o ngā tapa?
 
 
  • He poro tapawhā rite te āhua.
  • E 2 te rahinga ake o tētahi tapa i tētahi.
  • E 45 mitarau pūtoru (cm3) te rōrahi o te āhua.
  • E 3cm te roa o tētahi tapa.
  • poro tapawhā rite
  • tapa
  • mitarau pūtoru (cm3)
E 3cm te roa o ngā tapa poto
 
E 5cm te tapa roa.
4.15
 
 
E hia mitarau (cm) te roa o ngā tapa?
 
 
  • E 4 ngā tapa o te āhua.
  • Ina whakareatia tētahi tapa poto ki te 4, ka hua ko tētahi tapa roa.
  • 15cm te paenga o te āhua.
  • E 90° ngā koki katoa o te āhua.
  • tapa
  • paenga
  • tākiri (putu) °
  • koki
1.5cm = tapa poto
 
6cm = tapa roa