- tautohu tauira āhuahanga
- whakaroa i tētahi tauira āhuahanga
- kimi mai i te ture hei whiriwhiri i te maha o ngā māti kei roto i tētahi wāhanga o te tauira māti
- whiriwhiri i te wāhanga o te tauira e hāngai ana ki tētahi rahinga māti
whakamārama i te tauira me tōna ture
he māti
- Ko te mahi tuatahi, he hanga i tētahi tauira tapatoru ki te māti, he tirotiro i te pānga o te tapatoru ki te maha o ngā māti.
Te mahi a te pouako | He tauira kōrero mā te pouako | ||||||||||||||||||||
Whakamahia he māti hei hanga i te tauira tapatoru nei. | Anei tētahi tauira tapatoru. He tauira raupapa. Kua tapaina ia wāhanga o te raupapa ki ngā ingoa nei ‘Tapatoru-1’ ‘Tapatoru-2’ … |
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Tonoa ngā ākonga ki te hanga i te wāhanga o te tauira e whai muri ana. Whakawhitiwhiti kōrero mō te maha o ngā māti hei hanga i ia wāhanga o te tauira raupapa. | Hangaia te tauira tapatoru-4. Hangaia te tauira tapatoru-5. Tuhia ngā tauira nei ki ā koutou pukapuka. Tuhia te maha o ngā māti hei hanga i ia wāhanga o te tauira ki raro i ngā pikitia. |
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Tukuna ngā ākonga ki te mahi takirua ki te kimi i te maha o ngā māti hei hanga i te wāhanga o te tauira ‘tapatoru-20’. | He aha tētahi rautaki hei kimi mai i te maha o ngā māti hei hanga i te tapatoru-20? He mahi nui te hanga i ngā tauira ki te māti, he tuhi rānei ki te pukapuka, nō reira, me āta kimi tētahi huarahi poto. Me mahi takirua kōrua ko tētahi hoa ki te kimi mai i tētahi huarahi poto. |
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Tonoa nga akonga ki te whakamārama i ā ratou rautaki, ka whakawhitiwhiti kōrero ai. Anei tētahi o ngā rautaki: |
He māmā te kite atu i te tauira me te whiriwhiri i te maha o ngā māti mēnā ka pēnei te whakarite:
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Anei anō tētahi o ngā rautaki: | He māmā anō hoki te kite atu i te tauira me te whiriwhiri i te maha o ngā māti mēnā ka pēnei te whakarite:
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Hoatu ētahi pātai pēnei i ēnei. | Whakamahia te rautaki tuatahi ki te whiriwhiri i ēnei pātai: E hia ngā māti hei hanga i te tapatoru-21 E hia ngā māti hei hanga i te tapatoru-10 E hia ngā māti hei hanga i te tapatoru-50 E hia ngā māti hei hanga i te tapatoru-100 … Whakamahia te rautaki tuarua ki te whiriwhiri i ēnei pātai: E hia ngā māti hei hanga i te tapatoru-22 E hia ngā māti hei hanga i te tapatoru-15 E hia ngā māti hei hanga i te tapatoru-30 E hia ngā māti hei hanga i te tapatoru-1000 … |
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Tonoa ngā ākonga ki te tuhi i tētahi tūtohi hei whakaatu i te tapatoru me te maha o ngā māti. | Anei te tūtohi hei whakaoti mā koutou:
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Whakamōhiotia atu te maha o ngā māti, ka tono ai i ngā ākonga ki te whiriwhiri i te maha o ngā tapatoru ka taea te hanga. |
39 ngā māti a Hinewai. E hia ngā tapatoru ka taea e ia te hanga? Nō reira 18 atu anō ngā tapatoru ka taea te hanga ki ēnei māti 36. 19 katoa ngā tapatoru. |
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Hoatu ētahi anō rapanga pēnei hei whakaoti mā ngā ākonga. | 55 ngā māti a Hinewai. E hia ngā tapatoru ka taea e ia te hanga? 243 ngā māti a Hinewai. E hia ngā tapatoru ka taea e ia te hanga? 73 ngā māti a Hinewai. E hia ngā tapatoru ka taea e ia te hanga? 405 ngā māti a Hinewai. E hia ngā tapatoru ka taea e ia te hanga? |
- Ko te mahi tuarua, he hanga i tētahi atu tauira ki te māti, he tirotiro i te pānga o te tauira ki te maha o ngā māti.
Te mahi a te pouako | He tauira kōrero mā te pouako | ||||||||||||||
Whakaaturia tētahi tauira māti ki ngā ākonga, ka tono ai i a rātou ki te āta whakaaro i tētahi huarahi māmā ki te tatau i te maha o ngā māti. |
Titiro ki tēnei tauira kua hangaia ki te māti. Me mahi takirua kōrua ko tētahi hoa, ka āta whakaaro i tētahi rautaki hei tatau i te maha o ngā māti. Kaua e tatau takitahi i ia māti, engari ka āta kimi i tētahi huarahi poto, māmā hei tatau i te maha o ngā māti. He tauira whakautu
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Tonoa ngā ākonga ki te whakamahi i ā rātou rautaki ki te whakaoti i te tūtohi. |
Anei anō ētahi tauira: Whakamahia tētahi o ngā rautaki tatau ki te whakaoti i te tūtohi nei:
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Ko te mahi mō te roanga atu o te wiki, he tirotiro i ngā pānga o ētahi atu tauira māti. Ka whāia te raupapa mai o ngā mahi i runga nei. Koia nei ētahi (me tono hoki mā ngā ākonga e hanga ētahi tauira māti):
He tauira tapawhā rite:
Ngā ture:
- Whakareatia te nama o te tapawhā rite ki te 3, ka tapiri ai i te 1. Ka hua mai ko te maha o ngā māti
tapawhā rite | 1 | 2 | 3 | 5 | 10 | 15 | 100 |
ture | 1 + (3 x 1) | 1 + (3 x 2) | 1 + (3 x 3) | 1 + (3 x 5) | 1 + (3 x 10) | 1 + (3 x 15) | 1 + (3 x 100) |
māti | 4 | 7 | 10 | 16 | 31 | 46 | 301 |
- Tangohia te 1 i te nama o te tapawhā rite, ka whakarea ai ki te 3. Kātahi ka tāpiri i te 4, ka hua mai ko te maha o ngā māti.
tapawhā rite | 1 | 2 | 3 | 5 | 10 | 15 | 100 |
ture | 4 + (3 x 0) | 4 + (3 x 1) | 4 + (3 x 2) | 4 + (3 x 4) | 4 + (3 x 9) | 4 + (3 x 14) | 4 + (3 x 99) |
māti | 4 | 7 | 10 | 16 | 31 | 46 | 301 |
He tauira whare:
Ngā ture:
- Whakareatia te nama o te whare ki te 5, ka tapiri ai i te 1. Ka hua mai ko te maha o ngā māti
tapawhā rite | 1 | 2 | 3 | 5 | 10 | 15 | 100 |
ture | 1 + (5 x 1) | 1 + (5 x 2) | 1 + (5 x 3) | 1 + (5 x 5) | 1 + (5 x 10) | 1 + (5 x 15) | 1 + (5 x 100) |
Māti | 6 | 11 | 16 | 26 | 51 | 76 | 501 |
- Tangohia te 1 i te nama o te whare, ka whakarea ai ki te 5. Kātahi ka tāpiri i te 6, ka hua mai ko te maha o ngā māti.
tapawhā rite | 1 | 2 | 3 | 5 | 10 | 15 | 100 |
ture | 6 + (5 x 0) | 6 + (6 x 1) | 6 + (5 x 2) | 6 + (5 x 4) | 6 + (5 x 9) | 6 + (5 x 14) | 6 + (5 x 99) |
māti | 6 | 11 | 16 | 26 | 51 | 76 | 501 |
He āhua uaua ake tēnei:
He tauira ara whakapiki
Ngā ture:
- Whiriwhiria te maha o ngā tapawhā i te tuatahi: Whakareatia te nama o te ara whakapiki ki te 2, ka tango ai i te 1.
- Kātahi ka whiriwhiri i te maha o ngā māti: Whakareatia te maha o ngā tapawhā rite ki te 3, ka tāpiri ai i te 1.
ara whakapiki | 1 | 2 | 3 | 4 | 10 | 15 | 100 |
tapawhā rite | 1 | 3 | 5 | 7 | 19 | 29 | 199 |
ture (mō ngā tapawhā rite) | (2 x 1) – 1 | (2 x 2) – 1 | (2 x 3) – 1 | (2 x 4) – 1 | (2 x 10) – 1 | (2 x 15) – 1 | (2 x 100) – 1 |
māti | 4 | 10 | 16 | 22 | 58 | 88 | 598 |
ture (mō ngā māti) | 1 + (3 x 1) | 1 + (3 x 3) | 1 + (3 x 5) | 1 + (3 x 7) | 1 + (3 x 19) | 1 + (3 x 29) | 1 + (3 x 199) |
- Whiriwhiria te maha o ngā tapawhā i te tuatahi: Whakareatia te nama o te ara whakapiki ki te 2, ka tango ai i te 1.
- Kātahi ka whiriwhiri i te maha o ngā māti: Whakareatia te maha o ngā tapawhā rite ki te 3, ka tāpiri ai i te 1.
ara whakapiki | 1 | 2 | 3 | 4 | 10 | 15 | 100 |
tapawhā rite | 1 | 3 | 5 | 7 | 19 | 29 | 199 |
ture (mō ngā tapawhā rite) | (2 x 1) – 1 | (2 x 2) – 1 | (2 x 3) – 1 | (2 x 4) – 1 | (2 x 10) – 1 | (2 x 15) – 1 | (2 x 100) – 1 |
māti | 4 | 10 | 16 | 22 | 58 | 88 | 598 |
ture (mō ngā māti) | 4 + (3 x 0) | 4 + (3 x 2) | 4 + (3 x 4) | 4 + (3 x 6) | 4 + (3 x 18) | 4 + (3 x 28) | 4 + (3 x 198) |
Hei Whakawhānui:
Tuhia he whārite hei whakaata i te ture o te pānga. Hei tauira:
5w + 1 = m (w = te maha o ngā whare, m = te maha o ngā māti)
Whakareatia te nama o te whare ki te 5, ka tapiri ai i te 1. Ka hua mai ko te maha o ngā māti.