| Ngā Whāinga Paetae
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| Te torotoro tatautanga, whakataunga tata
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| I roto i ngā horopaki whai tikanga, me mōhio te ākonga:
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| 1. ki te whakatutuki i ngā paheko matua
mō ngā hautau me ngā tau hanumi;
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basic operation; mixed |
| 2. ki te whakarōpū tau hei tau oti, hei tau tōpū, hei tau whakahau, hei tau whakahau&;kore rānei;
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rational
irrational |
| 3. ki te kimi rautaki hei whakaoti rapanga tau;
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strategy |
| 4. ki te whakatau tata, ki te āta tātai
i ētahi otinga, e whakamahi ana i te tātaitai i ngā wāhie
hiahiatia ana, kia tutuki pai ai te mahi whakaoti rapanga;
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calculate
problem-solving |
| 5. ki te whiriwhiri i te tika, i te hē
rānei, i te tikanga hoki o ngā otinga ka puta ake i tētahi
rapanga.
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He Tauira Horopaki
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- TE WHAKARITE PUTEA&;Me
whakarite pūtea mō tētahi hui, (hui marae, hui kohi moni,
pō ngāhau...).
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- TE TAKA KAI&;Me āta tirotiro tētahi tohutao kai.
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- TE RĪHIWAKA&;He
aha te momo waka māmā nei te utu? He aha i māmā
ake ai i ētahi atu? He aha te momo waka nui te utu? He aha i pērā
rāwa ai te nui?
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| He Tauira Mahi
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| Te torotoro tatautanga, whakataunga tata
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| Anei ētahi tauira mahi e taea ai ngā whāinga paetae o tenei taumata te whakatutuki:
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| 1. Me mōhio te ākonga ki te whakatutuki i ngā
paheko matua mō ngā hautau me ngā tau hanumi;
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- he whakapakari i te āhei o te ākonga ki te whakatutuki i ēnei momo paheko.
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| 2. Me mōhio te ākonga ki te whakarōpū tau hei tau oti, hei tau tōpū, hei tau whakahau, hei tau whakahau&;kore rānei;
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integers; rational numbers |
- he hanga, ka whakamahi rautaki mō te whakarau me te whakawehe hautau;
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- he hōpara tau whakahau-kore.
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irrational numbers |
| 3. Me mōhio te ākonga ki te whakatau tata, ki te āta
tātai i ētahi otinga, e whakamahi ana i te tātaitai i ngā
wahie hiahiatia ana, kia tutuki pai ai te mahi whakaoti rapanga;
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- he whakatau āe rānei e tika ana, e hē kē ana rānei
ngā otinga i puta ake;
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- he whakaoti rapanga whaitake hei whakapakari i tona ake mōhio ki ngā
āhuatanga tau, tae atu hoki ki te whakataunga tata, me te tatautanga.
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| He Tauira Aro Matawai
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| He tauira noa ēnei hei āwhina i te kaiwhakaako:
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- He whakaoti rapanga e puta noa mai ana i ngā mahi o ia rā. Hei whakatauira:
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i) mai i tētahi tohutao kai kua whakaritea mō te toru tangata,
me whakanui ake ngā kai o roto kia whangaihia ai ētahi tangata
tokowaru;
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ii) me whakarite tētahi rawhara hei mahi moni mā tētahi
rōpū e mea ana ki te haere ki te Tairāwhiti. Me whakatau
tata ngā utu mō te pahi, te koha ki ngā marae, me ētahi
whakararu e pā ana ki te haere, ka tuhi kauwhata ai e kitea
mai ai te nui o ngā tikiti rawhara hei mahi mai me te nui o te
utu mō ia tikiti kia toe mai ai te moni e hiahiatia ana mō
te haere.
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graph |
Mā tenei tauira ka mōhio te kaiwhakaako e pehea ana te matatau
o ngā ākonga ki te:
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triples
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- He hopara i ngā kahui tau-toru a Pythagoras, ka whakatakoto purongo ai e whakaatu ana i ngā otinga.
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Mā tenei tauira ka mōhio te kaiwhakaako e pehea ana te matatau
o ngā ākonga ki te:
Tau 6/4
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- He whawhe hautau roto i ngā horopaki whaitake. Hei whakatauira:
anei te nui o ngā huawhenua kua whakaritea hei rau atu ki te hangi
a Kahurangi mā: he pēke rīwai, he pēke kūmara
haurua, he pēke paukena haurua. Nā, ka whakatau a Kahu me
rahi ake te paukena kia noho ai te rahi hei 50 ōrau o te katoa
o ngā huawhenua. E hia ngā pēke paukena haurua hei tāpiri
atu ki ngā huawhenua kua whakaritea kēhia kia eke ai te nui
o te paukena ki te 50 ōrau o te katoa?
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Mā tenei tauira ka mōhio te kaiwhakaako e pehea ana te matatau
o ngā ākonga ki te:
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