Tāhei Tau Punarua

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Hei Whakarāpopoto

E hāngai ana tēnei kōwae ako ki te rauemi matihiko nei, te Tāhei Tau Punarua. Ko tā te Tāhei Tau Punarua he āwhina i ngā ākonga ki te tūhura i ngā tauhono punarua o tētahi tau i waenganui i te 10 me te 30.

Koia nei ētahi tauira o ngā tauhono punarua o te 17: 2 + 15, 15 + 2, 8 + 9, 9 + 8, 12 + 5, 5 + 12 ...

Achievement Objectives
3. Ka whakaoti rapanga e whai wāhi mai ana te tauoti me te hautau māmā, ka whakamārama hoki i te rautaki: rautaki tatau; rautaki whakarōpū; rautaki tohatoha ōrite.
Te Hononga ki te Marautanga
Taumata 1
Te Tau me te Taurangi (Te Mātauranga Tau me ngā Rautaki Tau)
Whāinga Paetae 3:
Ka whakaoti rapanga e whai wāhi mai ana te tauoti me te hautau māmā, ka whakamārama hoki i te rautaki:
Ngā Whāinga Ako
Kia mōhio te ākonga ki te:
  • tautohu i ngā tauhono punarua o ngā tau mai i te 10 ki te 30
  • whakamahi tauhono punarua ki te whakaoti rapanga tāpiri, rapanga tango hoki.
Ngā Tikanga Pāngarau

E tino hono ana tēnei kōwae ako ki te Mahere Tau o Aotearoa (tirohia te kaupapa o Te Poutama Tau i te pae tukutuku o nzmaths.co.nz).

E whakaatu ana te wāhanga rautaki o te mahere tau i ngā momo rautaki ka whakamahia e ngā ākonga ki te whakaoti paheko.

Ko te mahi o tēnei kōwae ako hei whakawhanake i ngā ākonga mai i te Kaupae 3 o te mahere ki te Kaupae 4.

 

Kaupae 3: →   Kaupae 4
Mēnā he rapanga tāpiri, rapanga tango rānei, ka puritia ki te hinengaro ngā mea e tāpirihia ana, ngā mea e tangohia ana rānei, ka tatau ai. Ka āta kitea ngā mea e tatauria ana i te hinengaro, ā, ka tatau i ngā mea katoa mai i te kotahi.
Hei tauira: 5 + 3 Ka tīmata te tatau mai i te 1:
→   Mō te rapanga tāpiri me te rapanga tango, kāore e tatauria ngā mea katoa e tāpirihia ana, e tangohia ana rānei. Ka tīmata kē te tatau mai i tētahi o ngā tau e mōhiotia ana.
Hei tauira: 5 + 3 Ka tīmata te tatau whakamua mai i te 5:

Ko te mātauranga tau tētahi anō wāhanga o te Mahere Tau, arā, ko te mātauranga me matua mōhio te ākonga e tutuki i a ia ngā momo rautaki. Kei roto i tēnei kōwae ako te mātauranga e pā ana ki te whakarōpū tau, ngā meka tāpiritanga matua, ngā rōpū tau o roto i 20 me ngā tau rearua tae atu ki te 30.

He Rārangi Kupu

 

tāneke
slider
tauhono punarua
(additive) number pair
partition
rauemi matihiko
digital resource
paheko tau
number operation
Hei Raupapa I Ngā Mahi Ako

 

Te Rauemi Matihiko Te Whakamārama
Tāhei Tau Punarua Mēnā e mōhio ana te tamaiti ki ngā tau tāpiri o tētahi tau, he māmā ake tana whakaoti paheko tau. Ko tēnei akoranga matihiko hei whakapakari i a ia ki tēnei āhuatanga o te tau.
Tāhei Tāpiripiri Hei whakaako, hei whakapakari i te tamaiti ki ngā momo rautaki whakaoti tāpiritanga i rō hinengaro.
Tāhei Tangotango Hei whakaako, hei whakapakari i te tamaiti ki ngā momo rautaki whakaoti tangohanga i rō hinengaro.
Tāhei Huatango Ka tirohia tētahi rautaki matua mō te whakaoti tangohanga, arā, ko te huri i taua tangohanga hei tāpiritanga. Mā konei e māmā ai te kimi i te huatango (te rerekētanga) o ētahi tau e rua.
Tūtohi Tukutuku E aro ana tēnei o ngā akoranga matihiko ki te tikanga o tēnei mea te whakareatanga, me te hononga ki te tāpiri tāruarua. Hei āwhina i te tamaiti e tīmata ana ki te ako i te whakareatanga.
Papa Whakarea Mā te wāwāhi i ngā tau o roto i tētahi whakareatanga, e māmā ake ai te whakaoti i rō hinengaro. He rauemi tēnei hei āwhina i te tamaiti ki te whakaoti whakareatanga.

Haere ki tēnei wāhi i te ipurangi ki te tiki atu i ēnei rauemi matihiko:
http://www.tki.org.nz/r/digistore/register_e.php

He Hononga ki Rauemi Kē

Tirohia te Wāhanga 6 me te Wāhanga 7 o te Pukapuka Tuarima o Te Poutama Tau.

Ka Mahi Tahi te Pouako me tētahi Rōpū ākonga ki te Whakamahi i te Tāhei Tau Punarua

  1. Whakamāramatia te tikanga o te rerenga 'ngā tauhono punarua'. Arā, e rua ngā tau e tāpirihia ana. Whakatauiratia ki tētahi tau māmā: Ngā tauhono punarua o te 5:
  • 1 + 4 = 5
  • 2 + 3 = 5
  • 3 + 2 = 5
  • 4 + 1 = 5
  1. Whakamāramatia te Tāhei Tau Punarua ki ngā ākonga, arā, ko te tāhei hei tohu i tētahi tau, ā, ko te mahi a te ākonga he wāwāhi i taua tāhei ki ētahi wāhanga e rua.
  2. He pai te 12 hei tau tīmatanga. Tuhia te 12 ki te pouaka i te mata o te
    rorohiko.
    learning object.
  3. E 2 ngā tāhei ka puta mai. Ko te tāhei o runga hei tohu i te 12. Tatauria ngā wāhanga o te tāhei (ka 12).
  4. Ko te tāhei o raro e whakaatu ana i tētahi wāwahitanga o te 12 ki ētahi wāhanga e 2. Tohua ngā wāhanga e 2. Ko te wāhanga i te taha mauī e tohu ana i te 10. E huna ana ngā 'tahi' o te 10, nō reira, ka tatauria ngā 'tahi' i te tāhei o runga kia āta kitea ai ngā tahi 10.
  5. Pātai atu ki ngā ākonga "e hia atu anō kia 12?" Tatauria ngā 'tahi' i te wāhanga tuarua o te tāhei, ka tuhi ai i te 2 ki te pouaka. Pāwhiria te pūtohu Tirohia.
  6. Whakamāramatia ko te 10 + 2 tētahi tauhono punarua o te 12. Whakaotia tētahi atu tau punarua o te 12. Koia nei ētahi pātai matua:
  • E 7. E hia atu anō ka 12?
  • Tāpirihia te aha ki te 7 ka 12?
  • Ko te 7 me te aha hei tauhono punarua o te 12?
  1. Pāwhiria te pūtohu Whakamua, ka whakaoti ai i ētahi atu tauhono punarua o te 12. Whakamāramatia te mahi a te tāneke, me te pūtohu hei huna i ngā 'tahi'.
  2. Ka kimi tonu i ngā tauhono punarua katoa o te 12. Whakaaturia te mahi a te pūtohu 'Whakaaturia ngā Tau Punarua'. Arā, kia kitea ngā tauhono punarua katoa kua oti te kimi mai.
  3. Tuhia te pakitau nei ki te papa tuhituhi, ka pānui tahi ai me ngā ākonga. "15 mita te tawhiti mai i te kāinga o Pererika Poraka ki te kāinga o tōna hoa. E rua ngā peke kia tae atu ia ki reira. He aha te tawhiti o ngā peke e rua?"
  4. Whakamahia te Tāhei Tau Punarua ki te kimi mai i te katoa o ngā peke punarua e taea ana. Koia nei ētahi pātai hei ārahi i ngā ākonga:
  5. Ko te 11 te tawhiti o tana peke tuatahi. Tīmata i te 11, ka tatau ake ki te 15 (12, 13, 14, 15).
  6. Tāpirihia te aha ki te 11 kia eke ki te 15?
  7. Ko te 11 me te aha hei tauhono punarua mō te 15?
  8. He ōrite te otinga o te 11 + 4 me te 4 + 11?
  9. Mēnā e tāpirihia ana te 3 me te 12, he māmā ake te tatau ake i te 3, i te 12 rānei? He aha ai? Kia pērā anō te mahi hei kimi i ngā tauhono punarua o ētahi atu tau.

Ka Mahi Takitahi, Takirua rānei ngā ākonga me te Tāhei Tau Punarua

Koia nei ētahi horopaki me ētahi rapanga hei whakaoti mā ngā ākonga mā te whakamahi i te Tāhei Tau Punarua. Kia kotahi, kia rua rānei ngā ākonga ki ia rorohiko.

  • Te Penapena Moni

    Kei te hiahia a Wiremu ki te hoko i tētahi papawīra, ko te $28 te utu. E $9 te rahi o ana moni i tēnei wā. E hia atu anō hei penapena māna?
    Mēnā $13 te rahi o ana moni, e hia atu anō hei penapena māna?
    Mēnā $23 te rahi o ana moni, e hia atu anō hei penapena māna?
    Mēnā $17 te rahi o ana moni, e hia atu anō hei penapena māna?

  • Te Eke Pahikara

    E haere ana a Roimata ki te kāinga o tōna kuia mā runga i tōna pahikara, 17 manomita (km) te tawhiti. Kua oti te 5 km. E hia atu anō ngā manomita kia tae atu ia ki te kāinga o tōna kuia?
    Mēnā kua oti te 12 km, e hia manomita atu anō kia tae atu ia?
    Mēnā kua oti te 9 km, e hia manomita atu anō kia tae atu ia?
    Mēnā kua oti te 7 km, e hia manomita atu anō kia tae atu ia?

  • Te Kai āporo

    16 ngā āporo kei roto i te kumete. E 9 ka kainga e Horowai me ōna hoa. E hia ka toe mai?
    Mēnā e 5 ka kainga, e hia ka toe mai?
    Mēnā 11 ka kainga, e hia ka toe mai?
    Mēnā e 3 ka kainga, e hia ka toe mai?

Mō ia rapanga, tonoa ngā ākonga ki te tuhi i tētahi pikitia hei whakaatu i te whakamahinga o te Tāhei Tau Punarua ki te whakaoti i te rapanga. Kei ngā ākonga tonu te āhua o ngā pikitia, engari ko te rārangi tau tētahi pikitia tino pai rawa atu.

Tukuna he wā mā ia ākonga ki te whakaatu i tana pikitia, me te whakamārama haere i tana whakamahinga i te Tāhei Tau Punarua. Koia nei he pātai hei ārahi i ngā ākonga:

  • I pēhea tō whakamahi i te Tāhei Tau Punarua?
  • Whakamāramatia mai tō whakamahi i te Tāhei Tau Punarua ki te whakaoti i te rapanga.
  • He aha ngā tau i whakaurua ki te Tāhei Tau Punarua?
  • He aha tō mahi tatau?
  • Me pēhea te whakaatu i tō mahi ki te pikitia?

Ka Mahi Takitahi, Takirōpū rānei ngā ākonga me ētahi atu Mahi e Whai Pānga ana

Koia nei ētahi atu mahi e tino hono ana ki te kaupapa o te Tāhei Tau Punarua:

  • E hia kei te Huna?

    Ka mahi takirua ngā ākonga i tēnei kēmu. Mā tētahi o ngā ākonga e whakarite tētahi huinga porotiti (kohatu rānei), ka huna ētahi ki raro i tētahi ipu ahikirīmi. Māna e whakamōhio atu e hia katoa ngā porotiti, e hia hoki kei roto i te wāhanga e kitea mai ana. Mā te hoa e whiriwhiri e hia kei raro i te ipu ahikirīmi. Ko tāna mahi he tatau ake.

    Hei tauira: "26 katoa ngā porotiti. E 7 kei konei, ko te toenga kei te huna ki raro i te ipu ahikirimi. E hia kei raro i te ipu ahikirīmi?"

  • He Pākete Rare

    E rua ngā tae o ngā rare kei roto i tētahi pākete. Tonoa ngā ākonga ki te whakamahi mataono honohono ki te whakaatu i ngā pākete e taea ana. Hei tauira, mēnā 17 katoa ngā rare kei te pākete kotahi:

    diagram.
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Taumata 1