Te Poutama Tau:He Whakaaturanga mā te Kaiako

Te Whakawehe

He aha tēnei mea te whakawehe?

• Ko te whakawehenga he wāwāhi i tētahi mea ki ētahi rōpū ōrite. Hei tauira:

• Ko te wāwāhi i tētahi huinga:

• 6 ÷ 3 = 2

He aha tēnei mea te whakawehe?

• Ko te wāwāhi i tētahi inenga:

• 600mm ÷ 3 = 200mm

He aha tēnei mea te whakawehe?

• Ko te wāwāhi i tētahi āhua:

• 1 ÷ = 331

He aha tēnei mea te whakawehe?

• Ko te ÷ hei tohu i te whakawehenga.

• Pēhea te whakahua tika i te whakawehenga nei: 6 ÷ 3 = 2?

• He tauira ēnei nō te papakupu He Pātaka Kupu:Whakawehea te 21 ki te 3, ka puta ko te 7.Wehea te 12 ki te 4, ka 3.

He aha tēnei mea te whakawehe?

• He aha ngā whakahuatanga o ngā rerenga kōrero whakawehe e rāngona ana i tōu kura?

• Koia nei ētahi anō mō te 6 ÷ 3 = 2:E 6, whakawehea ki te 3, ka 2.Ko te whakawehenga o te 6 ki te 3, ka 2.

Te whakawehe me te whakarea

• E tino hono ana te whakawehe me te whakarea. He kōaro tētahi i tētahi:

3 x 4 = 12 ↔ 12 ÷ 4 = 3

• He pērā anō te tāpiri me te tango:

3 + 4 = 7 ↔ 7 – 4 = 3

Te whakawehe me te whakarea

• Ko te huri i te whakawehenga hei whakareatanga, tētahi rautaki matua hei whakaoti whakareatanga. Hei tauira: 15 ÷ 3 = □ (Whakawehea te 15 ki te 3, ka

hia?)

Ka huri kōaro te whakawehenga hei whakareatanga:

3 x □ = 15 (E hia ngā 3 kei roto i te 15)

Ngā momo whakawehenga e rua

• E rua ngā momo whakawehenga: ko te tohatoha ko te whakarōpū

Te whakawehenga tohatoha

• I tēnei momo whakawehenga e mōhiotia ana te maha o ngā rōpū hei tohatoha i ngā mea o tētahi huinga. Hei tauira: E 8 ngā āporo hei tohatoha ki ētahi rourou e

4. Kia hia ngā āporo ki ia rourou?

Te whakawehenga whakarōpū

• I tēnei momo whakawehenga e mōhiotia ana te maha o ngā mea kei ia rōpū. Hei tauira: E 8 ngā āporo hei whakarōpū kia rua ngā

āporo ki ia rourou.

Ngā kupu matua

• He aha ngā kupu matua e toru hei whakaahua i tēnei mea te whakawehe?tohatohawhakarōpūrōpū ōrite

• Kia kaha te whakamahi i ēnei kupu i te wā e whakaaturia ana te whakawehenga ki ngā rauemi me ngā pikitia e hāngai ana.

Te whakaako i te whakawehenga

• Ki tōu whakaaro ko tēhea taumata o te kura e tika ana kia tīmata te whakaako i te whakawehe?

Te whakaako i te whakawehenga

• Kāore he raruraru o te āta whāngai i te tikanga o te whakawehe (me ngā kupu matua ‘tohatoha’, ‘whakarōpū’ me ‘rōpū ōrite’) ki ā tātou tamariki i te taumata 1 tonu o te kura.

• Ko te mea nui kia mōhio rātou ki te tatau pānga tahi.

• Ka taea ngā rautaki tatau hei whakaoti whakawehenga.

Te whakaako i te whakawehenga

• Hei tauira tēnei o tētahi rautaki māmā hei whakaoti whakawehenga:

• 12 ngā porotiti ka whakawehea kia 3 ngā porotiti ki ia rōpū. Ka hia ngā rōpū? Mā te tatau i ngā porotiti:

Te whakaako i te whakawehenga

• Hei tauira tēnei o tētahi rautaki māmā hei whakaoti whakawehenga:

• 12 ngā porotiti ka whakawehea kia 3 ngā porotiti ki ia rōpū. Ka hia ngā rōpū? Mā te tāpiritanga tāruarua:

3 + 3 + 3 + 3 = 12 Mā te tatau māwhitiwhiti:

3, 6, 9, 12 Mā te whakamahi tau rearua:

12 = 6 + 6= 3 + 3 + 3 + 3

Te hanga o te whakawehenga

• E toru ngā tau o tētahi whakareatanga, o tētahi whakawehenga rānei:

Te hanga o te whakawehenga

• Ko te whakaoti whakawehenga, he whiriwhiri i te maha o ngā rōpū, he whiriwhiri rānei i te maha o ngā mea kei roto i ia rōpū. Hei tauira: 12 ngā porotiti ka wehea kia 3 ngā rōpū ōrite.

Ka hia ngā porotiti ki ia rōpū? (12 ÷ 3 = 4)12 ngā porotiti ka tohaina kia 4 ngā porotiti ki

ia rōpū ōrite. Ka hia ngā rōpū? (12 ÷ 4 = 3)

Ngā horopaki mō te whakawehenga

• E 3 ngā horopaki matua mō te whakawehenga: ko te rōpū ōrite. ko te pāpātangako te whakatairite

He horopaki mō te whakawehenga:

te rōpū ōrite

• Tuhia te whārite e hāngai ana ki ia rapanga, ka whakaaro ai i ētahi rautaki e rua hei whakaoti:42 ngā tamariki ka wehea ki ētahi tīma e 7.

Ka hia ngā tamariki ki ia tīma?

42 ngā tamariki ka wehea kia 6 ngā tamariki ki ia tīma. Ka hia ngā tīma?

He horopaki mō te whakawehenga:

te pāpātanga

• Tuhia te whārite e hāngai ana ki ia rapanga, ka whakaaro ai i ētahi rautaki e rua hei whakaoti:E 4 haora te mahi a Hinewai, ka riro i a ia te

$52. E hia tana utu ā-haora?

$13 te utu ā-haora i te mahi a Hinewai. Ka hia haora ia e mahi ana kia riro i a ia te $52?

He horopaki mō te whakawehenga:

te whakatairite

• Tuhia te whārite e hāngai ana ki ia rapanga, ka whakaaro ai i ētahi rautaki e rua hei whakaoti:E 5 te whakareatanga ake o ngā māpere a Teone i

ngā māpere a Wiremu. Mēnā e 35 ngā māpere a Teone, e hia ngā māpere a Wiremu?

E 35 ngā māpere a Teone, e 7 ngā māpere a Wiremu. E hia te whakareatanga ake o ngā māpere a Teone i ngā māpere a Wiremu?

He rautaki wāwāhi tau hei whakaoti whakawehenga

• Āta whakaarohia te kaupae o Te Mahere Tau e hāngai ana ki ēnei rautaki, me te whakaatu i ngā rautaki ki ngā rauemi e hāngai ana, ki te pikitia rānei: te tāpiri tāruarua me te tatau māwhitiwhiti:

21 ÷ 3 = □ 3 + 3 + 3 + 3 + 3 + 3 = 213, 6, 9, 12, 15, 18, 21

te whakamahi tau rearua24 ÷ 4 = □ 12 + 12 = 24

6 + 6 + 6 + 6 = 24

He rautaki wāwāhi tau hei whakaoti whakawehenga

• Āta whakaarohia te kaupae o Te Mahere Tau e hāngai ana ki tēnei rautaki, me te whakaatu i te rautaki ki ngā rauemi e hāngai ana, ki te pikitia rānei: te huri kōaro hei whakareatanga me te

whakamahi meka mōhio:

56 ÷ 8 = □ ↔ 8 x □ = 56 (whakareatia te 8 ki te aha ka 56)

He rautaki wāwāhi tau hei whakaoti whakawehenga

• Āta whakaarohia te kaupae o Te Mahere Tau e hāngai ana ki tēnei rautaki, me te whakaatu i te rautaki ki ngā rauemi e hāngai ana, ki te pikitia rānei: te wāwāhi uara tū me te tau māmā:

72 ÷ 3 = (60 ÷ 3) + (12 ÷ 3)

= 20 + 4

= 24

He rautaki wāwāhi tau hei whakaoti whakawehenga

• Āta whakaarohia te kaupae o Te Mahere Tau e hāngai ana ki tēnei rautaki, me te whakaatu i te rautaki ki ngā rauemi e hāngai ana, ki te pikitia rānei: te whakaawhiwhi me te tau māmā:

97 ÷ 5 = □ ↔ 100 ÷ 5 = 20, nō reira

97 ÷ 5 = 19 me te 2 e toe ana

He rautaki wāwāhi tau hei whakaoti whakawehenga

• Āta whakaarohia te kaupae o Te Mahere Tau e hāngai ana ki tēnei rautaki, me te whakaatu i te rautaki ki ngā rauemi e hāngai ana, ki te pikitia rānei: te huri hei whakareatanga mē te wāwāhi hei tau

māmā:14.4 ÷ 4 = □ ↔ 4 x □ = 14.4

4 x 3 = 124 x 0.5 = 24 x 0.1 = 0.4

Nō reira: 4 x 3.6 = 14.4

Te whakawehenga me te hautau

• E tino hono ana te whakawehe me te hautau.

• Ko te tohu hautau, he tohu anō mō te whakawehe:12 ÷ 3 =

312

Te whakawehenga me te hautau

• He ōrite te whiriwhiri i te hautanga o tētahi tau ki te whakawehenga. Tuhia he pikitia hei whakaatu i ēnei tauira:

o te 12 = 12 ÷ 3 = 4

o te 12 = (12 ÷ 3) x 2 = 8

31

32

Hei whakarāpopoto

• Koia nei ngā akoranga matua. Ka taea e koe ēnei akoranga matua te whakamārama?Ko te whakawehenga te wāwāhitanga o tētahi mea ki

ōna anō rōpū ōrite.E tino hono ana te whakawehe me te whakarea.E rua ngā tikanga matua o te whakawehe:

ko te tohatoha ko te whakarōpū

He maha ngā whakahuatanga tika o te rerenga kōrero whakawehe.

Hei whakarāpopoto

He maha ngā rautaki hei whakaoti whakawehenga.E toru ngā horopaki matua mō te whakawehe:

Ko te rōpū ōriteKo te pāpātangaKo te whakatairite

E tino hono ana te whakawehe me te hautau.