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

Te Ine me te Āhuahanga
Taumata 3

1.     Ka whakaoti rapanga whaitake e whai wāhi mai ana te roa; te horahanga; te rōrahi (kītanga); te taumaha (papatipu); te koki; te paemahana; te wā; te utu.
 
3.       Ka whiriwhiri i te horahanga o ngā tapawhā hāngai kua hangaia ki te tukutuku tapawhā rite.
 
7.     Ka whakamārama i te āhuahanga o ngā āhua ahu-2 me ngā āhua ahu-3.
 
10.    Ka hanga, ka whakamahi pūnaha ki te whakaatu taunga; whakaatu ahunga; whakamārama huarahi.
  
11.   Ka whakamahi i ngā tōpito matua ki te whakamārama taunga, ahunga hoki.
 
12.    Ka whakamārama panoni (whakaata, hurihanga, nekehanga, whakarahinga rānei) e hua mai ai tētahi mātātuhi i tōna mātāoroko.

Te Rapanga
Te Pātai
Ngā Kōrero āwhina
He Kupu Matua
Te Otinga
3.11
 
E hia ngā papariki e kapi katoa ai te papa o te rūma?
 
 
  • E 6 mita te roa o te rūma.
  • E 4 mita te whānui o te rūma.
  • He tapawhā hāngai te āhua o te papa o te rūma.
  • He tapawhā rite te āhua o ngā papariki, 25cm te roa o ngā tapa.
  • tapawhā hāngai
  • papariki
  • tapawhā rite
  • tapa
  • kapi
  • roa
  • whānui
384
3.12
 
E hia ngā papariki e kapi katoa ai te papa o te rūma?
 
 
  • E 4 mita te roa o te rūma, e 3 mita tōna whānui.
  • 25cm te roa o ngā papariki.
  • He tapawhā hāngai te āhua o te rūma, he tapawhā hāngai hoki ngā papariki.
  • 20 mitarau te whānui o ngā papariki.
  • tapawhā hāngai
  • papariki
  • kapi
  • roa
  • whānui
240
3.13
 
E hia meneti te roa o te hīkoi a Moehau mai i tana kāinga ki te kura?
 
 
  • Tekau mā rua meneti, ka oti i a Moehau te kiromita kotahi.
  • E rua me te haurua kiromita te tawhiti, mai i te kāinga o Moehau ki te kura.
  • E rua meneti e tatari ana a Moehau ki ia rama huarahi.
  • E toru ngā rama huarahi i te ara hīkoi a Moehau, mai i tana kāinga ki te kura.
  • rama huarahi
  • rua me te haurua
  • ara hīkoi
36 meneti
3.14
 
He aha te āhua?
 
  • He ōrite te roa o ngā tapa katoa.
  • E toru ngā rārangi hangarite.
  • Karekau he tapa whakarara.
  • Koia nei te āhua o tētahi taputapu whakatangi pūoro.
  • tapa
  • rārangi hangarite
  • whakarara
tapatoru rite
3.15
 
He aha te aronga whakamutunga o Hinewai?
 
 
  • I te tīmatanga e aro ana a Hinewai ki te rāwhiti.
  • E 90° tana huringa whakatematau.
  • 180° tana huringa whakatekaraka.
  • E 90° tana huringa whakatemauī.
  • aronga
  • rāwhiti
  • whakatekaraka
Ko te uru.
3.16
 
 
 
Ko hea te taunga whakamutunga?
  • Ko te (3,1) i te papa tukutuku te pūwāhi tīmatanga.
  • E 2 te neke whakaterāwhiti.
  • E 4 te neke whakateraki.
  • Kotahi te neke whakateuru.
  • tukutuku
  • pūwāhi
  • whakaterāwhiti
  • whakateraki
  • whakateuru
(4,5)
3.17
 
 
 
Tuhia te mātātuhi.
  • He tapatoru hāngai te mātāoroko.
  • Ko te (2,1) te (5,1) me te (2,4) ngā kokonga o te tapatoru i te papa tukutuku.
  • Ka hurihia te tapatoru, e 90° kōaro.
  • Ko te (2,4) te pū o te hurihanga.
  • mātātuhi
  • mātāoroko
  • tukutuku
  • kōaro
  • pū o te hurihanga
 graph.
3.18
 
Tuhia te mātātuhi.
  • E whā ngā koki hāngai o te mātāoroko.
  • Ko te (1,1) te (2,1) te (1,5) me te (2,5) ngā kokonga o te mātāoroko i te papa tukutuku.
  • Ka hurihia te mātāoroko, e 90° whakatekaraka.
  • Ko te (1,1) te pū o te hurihanga.
  • mātātuhi
  • mātāoroko
  • tukutuku
  • kōaro
  • pū o te hurihanga
 graph.
3.19
 
Tuhia te mātātuhi.
  • He tapatoru hāngai te mātāoroko.
  • Ko te (1,1) te (1,5) me te (3,1) ngā kokonga o te mātāoroko i te papa tukutuku.
  • Ka whakaatangia te mātāoroko. He rārangi poutū te rārangi whakaata.
  • E pūtahi ana te rārangi whakaata me te kokonga (3,1).
  • mātātuhi
  • mātāoroko
  • tukutuku
  • whakaata
  • rārangi whakaata
  • poutū
  • pūtahi
 graph.
3.20
 
E hia te horahanga o te mātātuhi?
  • Kei te (1,1) me te (4,1) i te papa tukutuku ētahi o ngā kokonga.
  • He tapawhā hāngai te mātāoroko.
  • E 2 te roa o ngā tapa poto o te mātāoroko.
  • Ko te 3 te taurahi.
  • mātātuhi
  • mātāoroko
  • tukutuku
  • tapawhā hāngai
  • taurahi
 54cm2
graph