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Te Poutama Tau: He Whakaaturanga m ā te Kaiako Te Whakaaro T ū honohono

Te Poutama Tau: He Whakaaturanga m ā te Kaiako Te Whakaaro T ū honohono. Te Tohu Ō rite =. He aha te tikanga o te tohu ō rite ‘=‘? Whakawhitiwhiti k ō rero me t ē tahi hoa, ka tuhi ai i t ē tahi whakam ā rama poto He tauira whakam ā rama: He ō rite te tapeke ki ia taha o te tohu ‘=‘.

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Te Poutama Tau: He Whakaaturanga m ā te Kaiako Te Whakaaro T ū honohono

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  1. Te Poutama Tau: He Whakaaturanga mā te Kaiako Te Whakaaro Tūhonohono

  2. Te Tohu Ōrite= He aha te tikanga o te tohu ōrite ‘=‘? • Whakawhitiwhiti kōrero me tētahi hoa, ka tuhi ai i tētahi whakamārama poto He tauira whakamārama: • He ōrite te tapeke ki ia taha o te tohu ‘=‘.

  3. Te Tohu Ōrite= • He tokomaha ngāākonga e pōhēhē ana ko te ‘=‘ hei tohu mō te otinga, te whakautu rānei. • He tokomaha ngāākonga ka tuhi i te 12, i te 17 rānei hei whakaoti i tēnei whārite: • 8 + 4 = + 5

  4. Te Tohu Ōrite= • Ka whakamahia te tohu ‘=‘ hei tūhonohono i ngā tau, kia kitea ai te pānga o tētahi ki tētahi. • Hei tauira: • 7 + 3 = 10 • 7 x 6 = 7 x 5 + 7 • 7 + 3 + 24 = 10 + 24 • 5a – 24 = 81 5a – 24 + 24 = 81 + 24 5a = 105 a = 21

  5. Whakaaro Tūhonohono relational thinking • Āta whakaarohia tēnei whārite: 7 – = 6 – 4 • Āta whakaarohia ngā rautaki e rua nei: 1) 6 – 4 = 2, nō reira 7 - = 2, nō reira = 5 2) • Whakamāramatia ēnei rautaki e rua

  6. Whakaaro Tūhonohono • Rautaki 1: • Ka tātaihia ia taha, ānō nei kāore e tūhonotia ana • Rautaki 2: • Ka kitea, ka whakamahia te hononga o ngā tau i ia taha o te tohu ‘=‘ • Arā, te hononga o te 6 ki te 7 (6 + 1 = 7), me pērā anō te hononga o te 4 ki te (4 + 1 = )

  7. Whakaaro Tūhonohono • Ko tēhea te rautaki e tino whaihua ana hei whakaoti i tēnei whārite? • 278 – = 276 – 134

  8. Whakaaro Tūhonohono • Ko tēhea te rautaki e tino whaihua ana i tēnei whārite? • 175 + 534 = + 535 • Whakamāramatia tēnei rautaki.

  9. Whakaaro Tūhonohono • 175 + 534 = + 535 • He ōrite te rahi o ia taha o te tohu ‘=‘. • Ka tuhia he tāhei hei tohu i ia taha. Kia ōrite te rahi o ia tāhei nā te mea he ōrite te tapeke o ia taha o te tohu ‘=‘. • Ka wehea te tāhei o runga hei whakaatu i ngā wāhanga e rua o te taha mauī o te whārite (ko te 175 me te 534). • Ka wehea hoki te tāhei raro hei whakaatu i ngā wāhanga e rua o te taha matau (ko te me te 535). • Kotahi te rahinga ake o te 535, tērā i te 534. • Nō reira kia kotahi te itinga iho o te , i te 175, kia ōrite tonu te rahi o ngā tāhei.

  10. Whakaaro Tūhonohono • Ka kīia tēnei ko te ‘whakaaro tūhonohono’ • Arā, ka tūhonotia ngā tau i ia taha o te tohu ōrite (=) relational thinking

  11. Whakaaro Tūhonohono • He mea nui te whakaaro tūhonohono i ētahi o ngā rautaki tau huhua. • Whakamāramatia te whakaaro tūhonohono e noho ana ki muri i ngā rautaki tau nei: • 6 + 7 = 6 + 6 + 1 (te tau rearua) • 3 x 16 = 6 x 8 (te rearua me te haurua) • 3 x 16 = 3 x 8 x 2 (te wāwāhi whakarea) doubles doubling and halving multiplicative partitioning

  12. Whakaaro Tūhonohono 6 + 7 = 6 + 6 + 1 E tūhono ana i te 7 ki te 6 + 1 • E mōhio ana te ākonga ki te 6 + 6 (tau rearua) • He māmā te tāpiri i te 1

  13. Whakaaro Tūhonohono 3 x 16 = 6 x 8 • E tūhono ana i ngā taha o tētahi tapawhā hāngai. • Ka rearuatia tētahi taha, ka hauruatia tētahi, engari ka pūmau tonu te horahanga

  14. Whakaaro Tūhonohono 3 x 16 = 6 x 8 • Kāore e mōhio ana te ākonga ki te 3 x 16, engari e mōhio ana ki te 6 x 8.

  15. Whakaaro Tūhonohono 3 x 16 = 3 x 8 x 2 E tūhono ana i te 16 ki te 8 x 2 E mōhio ana te ākonga ki te 3 x 8 me te 24 x 2

  16. Whakaaro Tūhonohono • Whakamāramatia te whakaaro tūhonohono i tēnei whārite. Tuhia he pikitia: • 674 – 389 = 664 – 379 • 10 te itinga iho o te 664 i te 674 • Nō reira e tika ana kia 10 te itinga iho o te 379 i te 389, kia ōrite te tapeke o ia taha o te tohu =

  17. Whakaaro Tūhonohono • Whakamāramatia te whakaaro tūhonohono i tēnei whārite. Tuhia he pikitia: • 73 + 56 = 71 + 58 • E 2 te itinga iho o te 71 i te 73. • Nō reira e tika ana kia 2 te rahinga ake o te 58 i te 56, kia ōrite te tapeke o ia taha o te tohu =

  18. Whakaaro Tūhonohono • Whakamāramatia te whakaaro tūhonohono i tēnei whārite. Tuhia he pikitia: • 84 x 5 = 42 x 10 • Ka rearuatia tētahi taha o te tapawhā hāngai, ka hauruatia tētahi. • He māmā te whakaoti i te 42 x 10 42 84 5 10

  19. Whakaaro Tūhonohono • Whakamāramatia te whakaaro tūhonohono i tēnei whārite. Tuhia he pikitia: • 56 ÷ 14 = 28 ÷ 7 • Hauruatia te 56, ka 28 • Me haurua anō te 14, kia ōrite tonu te tapeke o ia taha o te tohu =.

  20. Te Whakaaro Tūhonohono:Hei whakarāpopoto • He mea nui te whakaaro tūhonohono i ētahi o ngā rautaki tau huhua. • Nō reira e tino whaihua ana kia mārama te ākonga ki tēnei āhua o te whakaaro pāngarau. • He ōrite te tapeke ki ia taha o te tohu ‘=‘.

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