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Pangarau i roto i te Marautanga o Aotearoa |
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| Te Āhuahanga Taumata 4
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| Ngā Whāinga Paetae
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| Te torotoro āhua, mokowā
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| I roto i ngā horopaki whai tikanga, me mōhio te ākonga :
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| 1. ki te tuhi tapatoru, tuhi porohita, me te whakamahi anō i ngā taputapu tuhi e tika ana;
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circle; instrument |
| 2. ki te hoahoa raumata hei hanga i tētahi matarau ngāwari kia eke ai te nui ki tērā kua whakaritea;
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net; polyhedron |
| 3. ki te hanga tauira o tētahi papatipu mai i ētahi hoahoa e whakaatu ana i ona taha katoa, arā , a runga, a mua, a muri me ngā taha;
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model, solid object |
| 4. ki te tuhi hoahoa o ētahi taonga i hanga ki te mataono;
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cube |
| 5. ki te whai i ngā ahunga me ngā taunga hei tautuhi i te takotoranga.
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bearings; co-ordinates; specify |
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Te torotoro hangarite, panoni
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| I roto i ngā horopaki whai tikanga, me mōhio te ākonga :
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| 6. ki te whakahāngai i ngā tikanga hangarite o te taparau rite;
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apply; regular polygon |
| 7. ki te whakaahua i te hangarite whakaata, i te hangarite hurihuri rānei o tētahi ahua, taonga rānei ;
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reflection; rotation |
| 8. ki te whakanui, ki te whakaiti rānei i tētahi ahua ahu&;2, ka tautuhi ai i ngā āhuatanga
pūmau.
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reduce
invariant properties |
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He Tauira Horopaki
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- TE pōtaka He aha nei te āhua tino pai mō te
pōtaka ?
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- TE pītau Me pēhea te hanga pītau ?
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- TE MAHI WHAI&;Hei whakatauira, me pēhea te hanga i te 'waka o Tamarereti'?
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| He Tauira Mahi
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| Te torotoro ahua, mokowā
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| Anei ētahi tauira mahi e taea ai ngā whainga paetae o tēnei taumata te whakatutuki:
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| 1. Me mōhio te ākonga ki te tuhi tapatoru, tuhi porohita, me te whakamahi anō i ngā taputapu tuhi e tika ana;
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- he hoahoa ahua; he porohita, he tapawhā, he tapatoru, he taparau
kē atu rānei kei roto, ka matapaki ai i tana i tuhi
ai, me te whakamahi anō i ngā kupu e hangai ana, pēnei
i ēnei e whai ake nei:
| wāhanga porohita |
pewa |
pae |
porohita weherua |
| tapatoru (hikuwaru) |
rite |
tapatoru waerite |
tapawhā |
| koeko tapatoru |
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polygon
discuss
sector; arc; semicircle
scalene triangle; isosceles triangle; pyramid
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- he whetui pepa, he whakamahi rauru, inekoki, kapehu rānei hei hanga taparau kia rite te rahi ki tērā i whakaritea;
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ruler; protractor; compass |
- he tuhi huanui. Hei whakatauira, me whakaatu te arā rere
a te poi, te huanui rānei o ētahi puwāhi e ōrite
ana te tawhiti atu i tētahi punga.
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locus |
| 2. Me mōhio te ākonga ki te hoahoa raumata hei hanga i tētahi matarau ngāwari kia eke ai te nui ki tērā kua whakaritea;
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- he torotoro i te hanga o ngā pouaka, paepae, puoto rānei o te
ao tauhokohoko, me te whiriwhiri anō me pēhea e pai ake ai
te āhua o ēnei mea. Hei whakatauira, me pēhea e iti ake
ai te whakapautia o ngā uri o Tane e hingahinga nei mō te
pouaka noa iho te take, me pēhea rānei e iti ake ai te panga
kino ki a Papa-tū-ā-nuku o te porowhiu pouaka kua mutu nei
te hiahiatia.
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| 3. Me mōhio te ākonga ki te hanga i ngā tauira
o tētahi papatupu mai i ētahi hoahoa e whakaatu ana i ōna
taha katoa, arā , a runga, a mua, a muri me ngā taha;
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| 4. Me mōhio te ākonga ki te tuhi i ngā hoahoa o ētahi taonga i hanga ki te mataono;
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- he tuhi i te ahua o tētahi taonga ko ona taha katoa e whakaaturia ana. Me tuhi ki te pepa tukutuku kia tino tika ai ngā inenga.
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| 5. Me mōhio te ākonga ki te whai i ngā ahunga me ngā taunga hei tautuhi i te takotoranga;
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- he whakamahi kapehu hei tautuhi ahunga;
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- he torotoro tukutuku ahu-2 hei tautuhi wahi takoto, (pēnei i te mahere
whenua, i te tauranga ika, i te hoahoa whakanoho tangata i roto i tētahi
whare whakaari);
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- he āta torotoro arā , tae atu hoki ki ngā pokatata e whakaaturia ana ki ngā mahere whenua.
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| Te torotoro hangarite, panoni
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| Anei ētahi tauira mahi e taea ai ngā whainga paetae o tēnei taumata te whakatutuki:
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| 6. Me mōhio te ākonga ki te whakahāngai i ngā tikanga hangarite o te taparau rite;
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regular polygon |
- he whakaahua hangarite (whakaata, hurihuri) e kitea mai ana i roto i ngā tauira, taonga, hoahoa rānei (penei i te kowhaiwhai, i te takai takoha, i te matapihi whaikano, aha kē rānei ).
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gift-wrapping
stained-glass window |
| 7. Me mōhio te ākonga ki te whakaahua i te hangarite
whakaata, i te hangarite hurihuri rānei o tētahi āhua, taonga
rānei ;
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- he torotoro i ngā korowai rite e toru, i ngā korowai ahua
rite rānei e waru, ka taea te mahi mai ki ngā taparau
rite (tapatoru, tapawhā, taparima...).
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regular tessellation; semi-regular constructed |
| 8. Me mōhio te ākonga ki te whakanui, ki te whakaiti
rānei i tētahi āhua ahu&;2, ka tautuhi ai i ngā
āhuatanga pūmau;
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- he torotoro i ngā ahuatanga o tēnei mea, o te whakapekatanga, me te whakamahi anō i ngā momo tukutuku e tika ana;
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distortion
grids |
- he torotoro i te hua o te whakarahi āhua, taonga rānei (arā
ka ahatia te roa, te horahanga, te koki, te āhua, te ahunga). Ko
ēhea ngā āhuatanga pūmau i raro i te whakarahinga,
ko ēhea ngā āhuatanga huri.
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invariant properties |
| He Tauira Aro Matawai
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| He tauira noa enei hei awhina i te kaiwhakaako:
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- He hoahoa, he hanga pouaka, puoto rānei mō tētahi momo waireka hou, kia 500 miririta nei te kitanga;
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Ma tēnei tauira ka mōhio te kaiwhakaako e pēhea ana te matatau o ngā ākonga ki te:
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i) korowai, whariki rānei he tapawha, he tapatoru, he porohita
rānei kei roto (me hanga ki te taputapu tuhi āhua);
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ii) raumata mō tētahi waka huia.
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Ma enei tauira ka mōhio te kaiwhakaako e pēhea ana te matatau o ngā ākonga ki te:
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i) takai takoha, papangarua rānei e whai wahi mai ana tētahi hangarite hurihanga e toru kē ngā hurihanga o roto, me tētahi nekehanga;
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sewing fabric; involving |
ii) kowhaiwhai e whai wahi mai ana he nekehanga, he whakaatanga
(pēnei i te mango pare, i te ikatere);
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translation; reflection |
iii) tipare, ka whakaahua ai i ngā panoni me ngā ahua hangarite o roto.
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transformations |
Ma enei tauira ka mōhio te kaiwhakaako e pēhea ana te matatau o ngā ākonga ki te:
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- He tuhi, he hanga, he whawhe tapawha-rima, ka kimi mai i ngā whiriwhiringa katoa e puta ai he pouaka taupoki-kore. Kia oti mai tēnei , me kimi mai te tauira e puta ai he korowai ki te āta whakatakotoria tētahi tauira ki te taha tonu o tētahi .
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pentominoes
tessellation |
- He tirotiro whakaahua e whakaatu ana i ngā taha katoa o tētahi mea ahu-3, ka hanga ai i tēnei taonga ki te mataono.
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- He hanga taonga ahu-3, ka tuhi ai i ona taha katoa ki te pepa tukutuku, kia taea ai taua mea te mahi mai anō a tōna wā (ki te tirohia ngā whakaahua).
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Ma enei tauira ka mōhio te kaiwhakaako e pēhea ana te matatau o ngā ākonga ki te:
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- Ka mahi-a-ropu ngā ākonga ki te hoahoa, ki te hanga i tētahi
tauira o te kura e 1:200 te tau rahi, ka kimi ai i ngā taunga
o ētahi wāhi kua whakaritea hei kimi mai.
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scale factor; co-ordinates |
Ma enei tauira ka mōhio te kaiwhakaako e pēhea ana te matatau o ngā ākonga ki te:
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