| Te Ine, Tuanaki Taumata 7
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| Ngā Whāinga Paetae
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| Te whakatau tata, te ine
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| I roto i ngā horopaki whai tikanga, me mōhio te ākonga :
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| 1. ki te whakamahi i ngā tikanga pākoki (penei i te ine tātoro ) hei whakatauira i tētahi āhuatanga e kitea ai ngā ine i roto i tētahi horopaki, ka tātari ai i tāna i kite ai.
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trigonometric; radian measure |
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Te whakapakari orotau ki ngā āhuatanga pāpātanga , āhuatanga whiti
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| I roto i ngā horopaki whai tikanga, me mōhio te ākonga :
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| 2. ki te tuhi i te kauwhata pānga ronaki ka takea mai i tētahi kauwhata pānga , ka whakamārama ai i te pānga o tētahi ki tētahi ;
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gradient function
relationship |
| 3. ki te kimi mai, ki te whakamahi i tētahi kīanga mō te pāpātanga o te whiti o tētahi taurangi, ka whakahāngai atu ai i tēnei ki ētahi āhuatanga whaitake pēnei i te tihi, i te whāruarua , i te tere, i te whakaterenga rānei ;
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rate; change
maximum
minimum; acceleration |
| 4. ki te whakamahi i te ture kimi pāwhaitua me te ture kimi pārōnaki kōaro i roto i ngā mahi o ia rā , i roto hoki i ngā mahi whakatau.
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integration; anti-differentiation |
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He Tauira Horopaki
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- NGA RAKAU O TE WAO-NUI-A-TANE&;he
whakamahi tikanga pākoki hei kimi mai i te tiketike o tētahi
rākau.
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- NGA WHAKATAETAE OMAOMA&;Kimihia, ki te ture whakatere, te kaha o ngā ākonga ki te oma.
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- NGA WAKA rā He aha te pānga atu o te koki o te rā ki te tere o te haere o te waka? Whakaahuatia ki te tikanga pārōnaki , pāwhaitua rānei .
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- TE AITUA TAHORO HINUNUKU&;He aha te pāpātanga o te whiti o te horahanga o te hinu i te mata o te wai?
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oil spillage |
| He Tauira Mahi
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| Te whakatau tata, te ine
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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 whakamahi i ngā tikanga pākoki (penei i te ine tātoro ) hei whakatauira i tētahi āhuatanga e kitea ai ngā ine i roto i tētahi horopaki, ka tātari ai i tāna i kite ai;
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- he torotoro inenga koki, tae atu ki te inenga porohita, ka whakahāngai atu ai ki ngā horopaki whaitake. Hei whakatauira, ka taea te pae o te marama te kimi mai, mena kei te mohiotia te roa o te putoro;
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- he whakamahi pānga pākoki , (tae atu ki te ture whenu, te ture aho me te ture horahanga tapatoru), hei tatai tawhiti, koki, horahanga rānei .
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| Te whakapakari orotau ki ngā āhuatanga pāpātanga , āhuatanga whiti
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| Anei ētahi tauira mahi e taea ai ngā whainga paetae o tēnei taumata te whakatutuki:
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| 2. Me mōhio te ākonga ki te tuhi i te kauwhata pānga ronaki ka takea mai i tētahi kauwhata pānga , ka whakamārama ai i te taupanga o tētahi ki tētahi ;
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- he torotoro i te takenga mai o ngā tikanga tuanaki me ōna
tohu. Hei whakatauira, kimihia mai ngā kōrero mō ngā
mahi a Gauss, a Newton, a Leibnitz rānei ;
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- he whakahaere whakamatauranga, hohe-ā-ringa rānei , hei
torotoro i te pānga i waenganui i tētahi taurangi me tona
rōnaki pāpātanga ;
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- he hōpara, he whakamaori i te pānga i waenganui i te kauwhata
me tona rōnaki me te titiro ano ki te pāpātanga o te
whiti. Hei whakatauira, whakamahia te tataitai whakairoiro hei topa
ki tētahi puwāhi o tētahi pānga , a, puta noa he
rarangi tōtika, ka kimi ai i te ronaki i taua puwāhi;
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- he matapaki i ngā ture kimi pāwhaitua, kimi pārōnaki kōaro , ka whakahāngai ai i ēnei ki ngā rapanga whai tihi, whāruarua rānei .
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| 3. Me mōhio te ākonga ki te kimi mai, ki te whakamahi i tētahi kīanga mō te pāpātanga o te whiti o tētahi taurangi, ka whakahāngai atu ai i tēnei ki ētahi āhuatanga whaitake pēnei i te tihi, i te whāruarua , i te tere, i te whakaterenga rānei ;
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- he tatau tapawha, he tuhi taparara, tapawha hangai, aha ke rānei hei tatai horahanga o raro anau;
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- he kimi pānga i waenganui i ngā tikanga kimi pārōnaki kōaro me ngā tikanga kimi pāwhaitua;
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- he whakamahi tikanga kimi pāwhaitua hei whakaoti rapanga pēnei i te kimi horahanga o raro anau purau.
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| He Tauira Aro Matawai
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| He tauira noa ēnei hei awhina i te kaiwhakaako:
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- He kimi mai i te teitei o te maunga o te ākonga , o tētahi maunga rānei e mōhio ana a ia. Ka whakatau tata te ākonga i te teitei o te maunga, ka āta tatai ai ki te ture aho, ture whenu rānei .
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Mā tēnei tauira ka mōhio te kaiwhakaako e pehea ana
te matatau o ngā ākonga ki te:
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- He whakahāngai i te kauwhata tika ki ngā raraunga tika.
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Ma tēnei tauira ka mōhio te kaiwhakaako e pehea ana te matatau o ngā ākonga ki te:
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Mā tēnei tauira ka mōhio te kaiwhakaako e pehea ana
te matatau o ngā ākonga ki te:
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- He tuhi purongo e whakaahua ana i ngā tikanga pēnei i te tikanga kimi pāwhaitua hei whakatau tata i te horahanga o raro anau, ka whiriwhiri ai i ngā painga, hapa rānei o te whakamahi i ēnei tikanga.
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Ma tēnei tauira ka mōhio te kaiwhakaako e pehea ana te matatau o ngā ākonga ki te:
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