Ko te kaupapa nei, he tūhura me pēhea te waihanga i ētahi āhua, me ngā āhuatanga hangarite o aua āhua. Ka whakamahia te tāporowhita me te ruri hei waihanga āhua.
he ruri
Te Waihanga WM1
Te Waihanga WM2
he tāporowhita
Te Waihanga WM3
koki hāngai | right angle |
pūtahitanga | intersection |
pūwāhi | point |
rōpinepine | tesselation |
tapaono rite | regular hexagon |
tapatoru hikuwaru | scalene triangle |
tapatoru rite | equilateral triangle |
tapatoru waerite | isoceles triangle |
tāporowhita | compass (for drawing circles |
tohu waihanga | construction marks |
waihanga | construct |
whakarara | parallel |
Te mahi a te pouako |
He tauira kōrero mā te pouako |
Tonoa mā ngā tamariki e kimi me pēhea e oti ai tētahi tapatoru mā te whakamahi tāporowhita, ka whakamārama ai.
Mēnā ka raruraru, māu tonu e whakamārama.
Hoatu te Te Waihanga WM1 (PDF, 89KB) hei whakaoti mā ngā ākonga. |
Tā koutou mahi, he tā i tētahi tapatoru. Kia 6cm te roa o te pūtake, kia 3cm te roa o tētahi tapa, kia 5cm tētahi. Ko te ruri, te tāporowhita me te pene rākau anake hei whakamahi mā koutou.
Whakamāramahia mai ngā hīkoi mō te tā i te tapatoru.
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He tauira kōrero mā te pouako |
Ngā mahi a te ākonga |
Tuhia he rārangi hauroki ki tō whārangi. Tohua tētahi pūwāhi kei te takiwā waenganui o te rārangi.
Whakamahia te tāporowhita. Tuhia kia rua ngā tohu ki ia taha o te pūwāhi tuatahi (kia 2cm pea te roha o te tāporowhita).
Mai i ēnei tohu e rua, tāia he pewa ki runga ake o te pūwāhi tuatahi (kia 4cm pea te roha o te tāporowhita).
Honoa te pūtahitanga o ngā pewa e rua me te pūwāhi tuatahi. Anā - he koki hāngai.
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He tauira kōrero mā te pouako |
Ngā mahi a te ākonga |
Ka whakamahia te tāporowhita me te ruri hei waihanga i tētahi tauira tāniko. He tauira tāniko mō tētahi tīpare.
Tuhia he rārangi mai i tētahi taha o te whārangi ki tētahi. Koinei hei rārangi pūtake o te tāniko.
Tohua te pūwāhi waenganui o tēnei rārangi pūtake.
Inea kia 2cm ki ia taha o tēnei pūwāhi waenganui. Koinei hei pūtake mō tētahi tapatoru waerite. E 4cm te roa o te pūtake.
Whakamahia te tāporowhita hei waihanga i te tapatoru waerite, kia 5cm te roa o ngā tapa waerite.
Whakamahia te tāporowhita me te ruri, ka tuhi ai i tētahi tapatoru waerite anō. He iti ake tēnei tapatoru waerite, ā, ka noho ki roto i te tapatoru tuatahi. Anei ngā tohutohu mō tēnei tapatoru:
E hoki ki te pūwāhi waenganui o te rārangi pūtake. Tuhia he tohu kia 1cm ki ia taha o tēnei pūwāhi. Koirā te pūtake o te tapatoru iti nei. Hangaia te tapatoru kia 2.5cm te roa o ngā tapa waerite.
Tuhia he rārangi ki runga ake o te rārangi pūtake, kia pā tēnei rārangi ki te tihi o te tapatoru waerite nui. Kia noho whakarara ki te rārangi pūtake.
Tuhia he tohu ki te rārangi pūtake, kia 0.5cm mai i ia taha o te pūtake o te tapatoru nui. Tuhia hoki he tohu kia 0.5cm ki ia taha o te tihi o te tapatoru nui.
Honoa ngā tohu kei ia taha o te tapatoru, mai i runga ki raro.
Kua oti te tānga matua o te tauira tāniko. Ko te mahi ināianei, he nuku i tēnei tānga matua ki ia taha, ka tā anō ai.
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He tauira kōrero mā te pouako |
Ngā mahi a te ākonga |
Rohaina te tāporowhita kia 5cm te whātoro o ngā waewae. Tuhia he porowhita ki tō whārangi.
Poua te tāporowhita ki tētahi wāhi i te paenga o te porowhita, ka tohu ai i tētahi anō wāhi i te paenga o te porowhita.
Poua tō taputapu tuhi porowhita ki te wāhi hou i tohua i te paenga o te porowhita, ka tohu ai i tētahi anō wāhi i te paenga o te porowhita.
Kia pērā tonu tō mahi kia hoki rā anō koe ki te wāhi i tīmata ai koe. E hia ngā wāhi i te paenga o te porowhita kua tohua e koe?
Honoa ngā wāhi kua tohua ki te paenga o te porowhita, tētahi ki tētahi. He aha te āhua ka puta?
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Printed from https://nzmaths.co.nz/resource/te-waihanga at 7:12pm on the 25th April 2024