I tēnei ngohe
I tēnei ngohe aromatawai, ko tāu mahi he whakarite mahere, hoahoa hoki e hāngai ana ki Te Whare Tapu o Ngāpuhi, mā te whakamahi tikanga āhuahanga.
I tēnei ngohe aromatawai, ko tāu mahi he whakarite mahere, hoahoa hoki e hāngai ana ki Te Whare Tapu o Ngāpuhi, mā te whakamahi tikanga āhuahanga.
Te horopaki
He mea hanga tōku whare, ko Papatūānuku te paparahi. Ko ngā maunga ngā poupou, ko Ranginui e titiro iho nei, te tuanui. Pūhanga Tohorā, titiro ki Te Ramaroa e whakakurupae ake rā i te hauāuru. Te Ramaroa, titiro ki Whīria, te paiaka o te riri, te kawa o Rāhiri. Whīria, titiro ki Panguru, ki Papata, ki te rākau tū papata ki te tai hauāuru; Panguru, Papata, titiro ki Maunga Taniwha. Maunga Taniwha, titiro ki Tokerau. Tokerau, titiro ki Rākaumangamanga. Rākaumangamanga, titiro ki Manaia, e tū kōhatu mai rā i te ākau. Manaia, titiro ki Tūtāmoe. Tūtāmoe, titiro ki Maunganui. Maunganui, titiro ki Pūhanga Tohorā. Ehara aku maunga i te maunga nekeneke, he maunga tū tonu, tū te Ao, tū te Pō. Ko Te Whare Tapu o Ngāpuhi tēnei.
He mea hanga tōku whare, ko Papatūānuku te paparahi. Ko ngā maunga ngā poupou, ko Ranginui e titiro iho nei, te tuanui. Pūhanga Tohorā, titiro ki Te Ramaroa e whakakurupae ake rā i te hauāuru. Te Ramaroa, titiro ki Whīria, te paiaka o te riri, te kawa o Rāhiri. Whīria, titiro ki Panguru, ki Papata, ki te rākau tū papata ki te tai hauāuru; Panguru, Papata, titiro ki Maunga Taniwha. Maunga Taniwha, titiro ki Tokerau. Tokerau, titiro ki Rākaumangamanga. Rākaumangamanga, titiro ki Manaia, e tū kōhatu mai rā i te ākau. Manaia, titiro ki Tūtāmoe. Tūtāmoe, titiro ki Maunganui. Maunganui, titiro ki Pūhanga Tohorā. Ehara aku maunga i te maunga nekeneke, he maunga tū tonu, tū te Ao, tū te Pō. Ko Te Whare Tapu o Ngāpuhi tēnei.
Hei Mahi
Hei Mahi 1
- Rangahautia tētahi tohu whenua o tō hāpori, hapū, iwi rānei, kātahi ka whakamārama mai i tōna hiranga.
Hei Mahi 2
- Whakamahia te tūtohi kei te Rauemi 1 hei whakarite rauara ki te whakatau:
Hei Mahi 3
E ai ki ngā kōrero, ko Te Pū o Te Wheke te pito o Ngāpuhi. Kua whiriwhiringia ngā poupou kei te taha raki rawa, te taha tonga rawa, te taha uru rawa, me te taha rāwhiti rawa.
Hei Mahi 1
- Rangahautia tētahi tohu whenua o tō hāpori, hapū, iwi rānei, kātahi ka whakamārama mai i tōna hiranga.
Hei Mahi 2
- Whakamahia te tūtohi kei te Rauemi 1 hei whakarite rauara ki te whakatau:
Hei Mahi 3
E ai ki ngā kōrero, ko Te Pū o Te Wheke te pito o Ngāpuhi. Kua whiriwhiringia ngā poupou kei te taha raki rawa, te taha tonga rawa, te taha uru rawa, me te taha rāwhiti rawa.
Ngā mahi hei tāpae
He momo tuhinga (e 200-250 kupu te roa), he momo whakaaturanga rānei (e 3-4 meneti te roa) e whai wāhi ana ko ngā inenga, ngā rauara me ngā hoahoa.
Whakahoropakitia hoki ngā mahi nei ki ngā mātauranga tuku iho e pā ana ki ngā tohu whenua o tō hāpori, iwi, hapū rānei.
He momo tuhinga (e 200-250 kupu te roa), he momo whakaaturanga rānei (e 3-4 meneti te roa) e whai wāhi ana ko ngā inenga, ngā rauara me ngā hoahoa.
Whakahoropakitia hoki ngā mahi nei ki ngā mātauranga tuku iho e pā ana ki ngā tohu whenua o tō hāpori, iwi, hapū rānei.
Rauemi
Rauemi 1: Ngā Poupou o Te Whare Tapu

Rauemi 2: Ngā tawhiti ā-manomita (km)
Pūhanga Tohorā |
|
|
|
|
|
|
|
|
|
50 |
Te Ramaroa |
|
|
|
|
|
|
|
|
………. |
8 |
Whīria |
|
|
|
|
|
|
|
………. |
………. |
108 |
Panguru |
|
|
|
|
|
|
54 |
………. |
……… |
45 |
Maunga Taniwha |
|
|
|
|
|
………. |
………. |
………. |
………. |
85 |
Tokerau |
|
|
|
|
………. |
………. |
……… |
………. |
113 |
87 |
Rākaumangamanga |
|
|
|
………. |
………. |
……… |
………. |
………. |
………. |
100 |
Manaia |
|
|
55 |
………. |
……… |
………. |
………. |
………. |
95 |
103 |
Tūtāmoe |
|
65 |
65 |
………. |
………. |
………. |
………. |
………. |
………. |
41 |
Maunganui |
Rauemi 3: He pepa tukutuku

Rauemi 1: Ngā Poupou o Te Whare Tapu

Rauemi 2: Ngā tawhiti ā-manomita (km)
Pūhanga Tohorā |
|
|
|
|
|
|
|
|
|
50 |
Te Ramaroa |
|
|
|
|
|
|
|
|
………. |
8 |
Whīria |
|
|
|
|
|
|
|
………. |
………. |
108 |
Panguru |
|
|
|
|
|
|
54 |
………. |
……… |
45 |
Maunga Taniwha |
|
|
|
|
|
………. |
………. |
………. |
………. |
85 |
Tokerau |
|
|
|
|
………. |
………. |
……… |
………. |
113 |
87 |
Rākaumangamanga |
|
|
|
………. |
………. |
……… |
………. |
………. |
………. |
100 |
Manaia |
|
|
55 |
………. |
……… |
………. |
………. |
………. |
95 |
103 |
Tūtāmoe |
|
65 |
65 |
………. |
………. |
………. |
………. |
………. |
………. |
41 |
Maunganui |
Rauemi 3: He pepa tukutuku

Kuputaka
ara poto rawa |
shortest path |
ara honohono |
spanning tree |
whārite o te rārangi |
equation of the line |
tawhiti |
distance |
te tawhiti i waenga i ētahi pūwāhi e rua |
distance between points |
te rōnaki o tētahi rārangi |
gradient of the line |
te whārite o tētahi rārangi |
equation of the line |
ngā rārangi whakarara |
parallel lines |
ngā rārangi hāngai |
perpendicular lines |
ngā rārangi pūtahi |
intersecting lines |
tāroi |
traversibility |
te whānuitanga iti rawa o te rākau |
minimum spanning tree |
ara poto rawa |
shortest path |
ara honohono |
spanning tree |
whārite o te rārangi |
equation of the line |
tawhiti |
distance |
te tawhiti i waenga i ētahi pūwāhi e rua |
distance between points |
te rōnaki o tētahi rārangi |
gradient of the line |
te whārite o tētahi rārangi |
equation of the line |
ngā rārangi whakarara |
parallel lines |
ngā rārangi hāngai |
perpendicular lines |
ngā rārangi pūtahi |
intersecting lines |
tāroi |
traversibility |
te whānuitanga iti rawa o te rākau |
minimum spanning tree |
Hei Mahi
Hei Mahi 1
- Rangahautia tētahi tohu whenua o tō hāpori, hapū, iwi rānei, kātahi ka whakamārama mai i tōna hiranga.
Hei Mahi 2
- Whakamahia te tūtohi kei te Rauemi 1 hei whakarite rauara ki te whakatau:
Hei Mahi 3
E ai ki ngā kōrero, ko Te Pū o Te Wheke te pito o Ngāpuhi. Kua whiriwhiringia ngā poupou kei te taha raki rawa, te taha tonga rawa, te taha uru rawa, me te taha rāwhiti rawa.
Hei Mahi 1
- Rangahautia tētahi tohu whenua o tō hāpori, hapū, iwi rānei, kātahi ka whakamārama mai i tōna hiranga.
Hei Mahi 2
- Whakamahia te tūtohi kei te Rauemi 1 hei whakarite rauara ki te whakatau:
Hei Mahi 3
E ai ki ngā kōrero, ko Te Pū o Te Wheke te pito o Ngāpuhi. Kua whiriwhiringia ngā poupou kei te taha raki rawa, te taha tonga rawa, te taha uru rawa, me te taha rāwhiti rawa.
I tēnei ngohe
I tēnei ngohe aromatawai, ko tāu mahi he whakarite mahere, hoahoa hoki e hāngai ana ki Te Whare Tapu o Ngāpuhi, mā te whakamahi tikanga āhuahanga.
I tēnei ngohe aromatawai, ko tāu mahi he whakarite mahere, hoahoa hoki e hāngai ana ki Te Whare Tapu o Ngāpuhi, mā te whakamahi tikanga āhuahanga.
Kuputaka
ara poto rawa |
shortest path |
ara honohono |
spanning tree |
whārite o te rārangi |
equation of the line |
tawhiti |
distance |
te tawhiti i waenga i ētahi pūwāhi e rua |
distance between points |
te rōnaki o tētahi rārangi |
gradient of the line |
te whārite o tētahi rārangi |
equation of the line |
ngā rārangi whakarara |
parallel lines |
ngā rārangi hāngai |
perpendicular lines |
ngā rārangi pūtahi |
intersecting lines |
tāroi |
traversibility |
te whānuitanga iti rawa o te rākau |
minimum spanning tree |
ara poto rawa |
shortest path |
ara honohono |
spanning tree |
whārite o te rārangi |
equation of the line |
tawhiti |
distance |
te tawhiti i waenga i ētahi pūwāhi e rua |
distance between points |
te rōnaki o tētahi rārangi |
gradient of the line |
te whārite o tētahi rārangi |
equation of the line |
ngā rārangi whakarara |
parallel lines |
ngā rārangi hāngai |
perpendicular lines |
ngā rārangi pūtahi |
intersecting lines |
tāroi |
traversibility |
te whānuitanga iti rawa o te rākau |
minimum spanning tree |
Ngā mahi hei tāpae
He momo tuhinga (e 200-250 kupu te roa), he momo whakaaturanga rānei (e 3-4 meneti te roa) e whai wāhi ana ko ngā inenga, ngā rauara me ngā hoahoa.
Whakahoropakitia hoki ngā mahi nei ki ngā mātauranga tuku iho e pā ana ki ngā tohu whenua o tō hāpori, iwi, hapū rānei.
He momo tuhinga (e 200-250 kupu te roa), he momo whakaaturanga rānei (e 3-4 meneti te roa) e whai wāhi ana ko ngā inenga, ngā rauara me ngā hoahoa.
Whakahoropakitia hoki ngā mahi nei ki ngā mātauranga tuku iho e pā ana ki ngā tohu whenua o tō hāpori, iwi, hapū rānei.
Rauemi
Rauemi 1: Ngā Poupou o Te Whare Tapu

Rauemi 2: Ngā tawhiti ā-manomita (km)
Pūhanga Tohorā |
|
|
|
|
|
|
|
|
|
50 |
Te Ramaroa |
|
|
|
|
|
|
|
|
………. |
8 |
Whīria |
|
|
|
|
|
|
|
………. |
………. |
108 |
Panguru |
|
|
|
|
|
|
54 |
………. |
……… |
45 |
Maunga Taniwha |
|
|
|
|
|
………. |
………. |
………. |
………. |
85 |
Tokerau |
|
|
|
|
………. |
………. |
……… |
………. |
113 |
87 |
Rākaumangamanga |
|
|
|
………. |
………. |
……… |
………. |
………. |
………. |
100 |
Manaia |
|
|
55 |
………. |
……… |
………. |
………. |
………. |
95 |
103 |
Tūtāmoe |
|
65 |
65 |
………. |
………. |
………. |
………. |
………. |
………. |
41 |
Maunganui |
Rauemi 3: He pepa tukutuku

Rauemi 1: Ngā Poupou o Te Whare Tapu

Rauemi 2: Ngā tawhiti ā-manomita (km)
Pūhanga Tohorā |
|
|
|
|
|
|
|
|
|
50 |
Te Ramaroa |
|
|
|
|
|
|
|
|
………. |
8 |
Whīria |
|
|
|
|
|
|
|
………. |
………. |
108 |
Panguru |
|
|
|
|
|
|
54 |
………. |
……… |
45 |
Maunga Taniwha |
|
|
|
|
|
………. |
………. |
………. |
………. |
85 |
Tokerau |
|
|
|
|
………. |
………. |
……… |
………. |
113 |
87 |
Rākaumangamanga |
|
|
|
………. |
………. |
……… |
………. |
………. |
………. |
100 |
Manaia |
|
|
55 |
………. |
……… |
………. |
………. |
………. |
95 |
103 |
Tūtāmoe |
|
65 |
65 |
………. |
………. |
………. |
………. |
………. |
………. |
41 |
Maunganui |
Rauemi 3: He pepa tukutuku

Te horopaki
He mea hanga tōku whare, ko Papatūānuku te paparahi. Ko ngā maunga ngā poupou, ko Ranginui e titiro iho nei, te tuanui. Pūhanga Tohorā, titiro ki Te Ramaroa e whakakurupae ake rā i te hauāuru. Te Ramaroa, titiro ki Whīria, te paiaka o te riri, te kawa o Rāhiri. Whīria, titiro ki Panguru, ki Papata, ki te rākau tū papata ki te tai hauāuru; Panguru, Papata, titiro ki Maunga Taniwha. Maunga Taniwha, titiro ki Tokerau. Tokerau, titiro ki Rākaumangamanga. Rākaumangamanga, titiro ki Manaia, e tū kōhatu mai rā i te ākau. Manaia, titiro ki Tūtāmoe. Tūtāmoe, titiro ki Maunganui. Maunganui, titiro ki Pūhanga Tohorā. Ehara aku maunga i te maunga nekeneke, he maunga tū tonu, tū te Ao, tū te Pō. Ko Te Whare Tapu o Ngāpuhi tēnei.
He mea hanga tōku whare, ko Papatūānuku te paparahi. Ko ngā maunga ngā poupou, ko Ranginui e titiro iho nei, te tuanui. Pūhanga Tohorā, titiro ki Te Ramaroa e whakakurupae ake rā i te hauāuru. Te Ramaroa, titiro ki Whīria, te paiaka o te riri, te kawa o Rāhiri. Whīria, titiro ki Panguru, ki Papata, ki te rākau tū papata ki te tai hauāuru; Panguru, Papata, titiro ki Maunga Taniwha. Maunga Taniwha, titiro ki Tokerau. Tokerau, titiro ki Rākaumangamanga. Rākaumangamanga, titiro ki Manaia, e tū kōhatu mai rā i te ākau. Manaia, titiro ki Tūtāmoe. Tūtāmoe, titiro ki Maunganui. Maunganui, titiro ki Pūhanga Tohorā. Ehara aku maunga i te maunga nekeneke, he maunga tū tonu, tū te Ao, tū te Pō. Ko Te Whare Tapu o Ngāpuhi tēnei.