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 Tau me te Taurangi
Taumata 3:

1.     Ka mōhio ki ngā tau 0 – 1 000 000:

  • te whakaingoa i ngā tohutau;
  • ngā momo raupapa tatauranga tauoti;
  • ngā meka matua mō te tāpiri, te tango, me te whakarea;
  • te whakaawhiwhi tauoti, tau ā-ira hoki ki te 1, te 10, te 100 rānei e pātata ana;
  • ngā tikanga uara tū o ngā tauoti me ngā tau ā-ira (kia toru ngā mati ā-ira):
    • te maha o ngā haurau, ngā hautekau, ngā tahi, ngā tekau, ngā rau me ngā mano kei roto i tētahi tau;
    • te rahi me te hanga o tētahi tau.
 
2.     Ka mōhio ki ngā hautau (tae atu ki ngā hautau nui ake i te kotahi) me ngā tau ā-ira:
  • te raupapa hautau (hautahi), tau ā-ira hoki;
  • ngā raupapa tatauranga hautau, tau ā-ira hoki (hautekau, haurau).

Te Rapanga
Te Pātai
Ngā Kōrero Āwhina
He Kupu Matua
Te Otinga
3.1
 
He aha te tau?
 
 
  • He tau ā-ira, he taukehe.
  • Kotahi tōna mati ā-ira.
  • He tauoti tōna rearua
  • Kei waenganui i te 1 me te 2.
  • tauoti
  • rearua
  • mati ā-ira
  • tau ā-ira
  • taukehe
1.5
3.2
 
He aha te tau?
 
 
  • Kotahi tōna mati ā-ira.
  • E toru ōna tekau.
  • Kotahi te nui ake o tōna mati hautekau, i tōna mati tekau.
  • Tāpirihia ōna mati katoa, ka 9.
  • mati
  • hautekau
  • mati ā-ira 
32.4
3.3
 
He aha te tau?
 
 
  • He hautau.
  • He nui ake tōna taurunga i tōna tauraro.
  • Kei waenganui i te 3 me te 4.
  • Kei roto i te tatauranga mawhiti-haurua.
  • hautau
  • taurunga
  • tauraro
  • tatauranga mawhiti
  • haurua
7/2
3.4
 
He aha te tau?
 
 
  • He tau ā-ira, e rua ōna mati ā-ira.
  • Kei raro iho i te kotahi.
  • Kotahi te nui ake o te mati haurau i te mati hautekau.
  • Tāpirihia ngā mati, ka 13.
  • tau ā-ira
  • mati ā-ira
  • haurau
  • hautekau
  • mati
0.67
3.5
 
He aha te tau?
 
 
  • He tau hanumi.
  • Kei waenganui i te 4 me te 5.
  • Kotahi te nui ake o te tauraro o te wāhanga hautau i te taurunga.
  • Kei roto i te tatauranga mawhiti-hautoru.
  • tau hanumi
  • taurunga
  • tauraro
  • hautau
  • tatauranga mawhiti
  • hautoru
4 2/3

 
Te Tau me te Taurangi
Taumata 3:

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.
 
4.     Ka mārama ki te whaitakenga o te otinga o tētahi rapanga.
 

Te Rapanga
Te Pātai
Ngā Kōrero Āwhina
He Kupu Matua
Te Otinga
3.6
 
Tokohia ngā tāngata kei runga tonu i te pahi i te tūnga whakamutunga?
 
 
  • 56 ngā tāngata kei runga i te pahi i te tīmatanga o te haerenga.
  • 1/4 o ngā tāngata i heke iho i te pahi i te tūnga tuatahi.
  • 18 ngā tāngata i heke iho i te pahi i te tūnga tuarua.
  • 1/8 o ngā tāngata e toe ana i heke i te pahi i te tūnga whakamutunga.
  • tūnga pahi
  • kotahi hauwhā
  • kotahi hauwaru
21
3.7
 
Tokohia ngā tāngata i runga i te pahi i te tīmatanga o te haerenga?
 
 
  • 1/2 o ngā tāngata i heke iho i te tūnga tuatahi.
  • 15 ngā tāngata i heke iho i te tūnga tuarua.
  • E 7 ngā tāngata i heke iho i te tūnga tuatoru.
  • I te mutunga o te haere, e 6 ngā tāngata kei runga tonu i te pahi.
  • tūnga pahi
  • kotahi haurua
56
3.8
 
 
I wini i ētahi hoa tokorua tētahi pūtea moni. Pēhea nei te rahi o te pūtea?
 
  • Ka hoatu tētahi hauwhā o te pūtea ki ō rāua whānau.
  • Ka wehea te toenga ki a rāua anō.
  • He ōrite te whiwhinga a tēnā me tēnā o ngā hoa tokorua nei.
  • E $600 te whiwhinga a tētahi.
  • hauwhā
$2,400
3.9
 
 
I wini i ētahi hoa tokotoru tētahi pūtea moni. Pēhea nei te rahi o te pūtea?
 
 
  • Ka hoatu tētahi haurua o te pūtea ki ō rātou whānau.
  • Ka wehea te toenga ki a rāua anō.
  • He ōrite te whiwhinga a tēnā me tēnā o ngā hoa tokotoru nei.
  • E $550 te whiwhinga a tētahi.
  • haurua
$3,300
3.10
 
E hia tau te pakeke o te tamaiti?
 
 
  • Ko Amo rāua ko Rangi ngā mātua o Hera.
  • E 22 tau te pakeke ake a Amo i a Hera.
  • E 2 tau te pakeke ake a Rangi i a Amo.
  • Hui katoa ō rātou tau, ka 58.
  • pakeke
E 4 tau.