Ko te kaupapa nei, he tirotiro i te tikanga o te rōrahi, he tātai i te rōrahi o te poro-tapawhā hāngai, he tirotiro hoki i te hononga o te rōrahi me te horahanga papa.
he nūpepa
he ruri
he tēpa whakapiri
Whārangi Mahi 1
he henemita pūtoru
he kāri A4
Poumahi 1
Poumahi 2
Poumahi 3
henemita pūtoru | cubic centimetre |
horahanga mata | surface area |
mita pūtoru | cubic metre |
raumata | net |
rōrahi | volume |
poro-tapawhā hāngai | rectangular based prism |
Te mahi a te pouako | He tauira kōrero mā te pouako |
Whakaaturia tētahi pouaka (pērā i tētahi pouaka hū), me tētahi kāri 1 cm2. Whakawhitiwhiti kōrero mō te ine i te horahanga o ngā papa o te pouaka. |
He henemita pūrua tēnei. He tapawhā rite te āhua, kotahi henemita mā te kotahi henemita. He aha te āhuatanga o te pouaka e taea ana te ine mā te whakamahi i te henemita pūrua? Ko te rahi o ngā mata (papa) o te pouaka, pērā i te taupoki. Ko te kupu mō tēnā āhuatanga, ko te horahanga. Ka whakamahia he henemita pūrua hei ine i te horahanga o tētahi o ngā papa o te pouaka. Ko te tohu ko te cm2. He aha ngā rautaki hei ine i te maha o ngā henemita pūrua ka taea ki te taupoki o te pouaka? |
Hoatu he mahi e kite ai koe mēnā kua mau i te ākonga te rautaki hei tātai horahanga. | Whiriwhiria te horahanga o ngā mata katoa o te pouaka. |
Whakawhitiwhiti kōrero mō te ine i te rōrahi o te pouaka. Whakaaturia tētahi henemita pūtoru (matono rite, 1 cm x 1 cm x 1 cm) |
Pēhea te rahi o roto i te pouaka? Ka taea te henemita pūrua te whakamahi hei ine i te rahi o roto? Kāore, nā te mea he papatahi te henemita pūrua, engari he whaitua kei roto i te pouaka. He whānui, he roa tō te āhua papatahi, engari he whānui, he roa, he teitei tō te pouaka. Nō reira he aha hei ine i te rahi o roto i te pouaka? Ko te mataono rite. He mataono rite tēnei, kotahi henemita te roa o ia tapa. Ka kīia he henemita pūtoru. Anei te tohu: 1 cm3. Ko te mahi, he āta tirotiro e hia ngā henemita pūtoru ka taea ki roto i te pouaka. Kātahi koe ka mōhio ki te rahi o roto i te pouaka. Ko te kupu mō tēnā ko te rōrahi o te pouaka. He whakapotonga o te ‘rahi o roto’. He aha ngā rautaki hei ine i te maha o ngā henemita pūtoru ka taea ki roto i te pouaka?
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Hoatu te Whārangi Mahi 1 (PDF, 117KB)hei whakaoti mā ngā ākonga. |
Poumahi 1(PDF, 118KB)
Poumahi 2 (PDF, 87KB)
Poumahi 3 (PDF, 87KB)
Tirohia te hononga o te rōrahi me te kītanga (Arā, 1 000 cm3 = 1 rita)
Tirohia te rōrahi o ētahi atu āhua ahu-3, pērā i te rango, te poro-tapatoru rānei.
rōrahi (rango) = πp2t (r = pūtoro, t = teitei) |
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Printed from https://nzmaths.co.nz/resource/te-rorahi at 11:11pm on the 20th April 2024