Ngā Tauira Pātai e Matapaki ana i te Auautanga Whakawhanaunga
He ariā nui te auautanga whanaunga i roto i ngā tatauranga, e whakamahia ana hei whakaahua i te auau o te puta o tētahi uara, o tētahi huihuinga rānei i roto i tētahi huinga raraunga. Mā te auautanga whanaunga ka pai ake te tirohanga ki te tohatoha raraunga mā te hono i te maha o ngā putanga ki te tapeke o ngā huānga i roto i te huinga raraunga. I roto i tēnei tuhinga, ka matapakihia e mātou te ariā o te auautanga whanaunga me te whakarato i ētahi tauira rapanga me te whakaoti i aua rapanga hei whakamārama i tō mātou māramatanga.
1. Te Mārama ki te Auautanga Whakawhanaunga
Ko te auau whanaunga ka whakaatuhia hei ōwehenga o te auau o tētahi huihuinga ki te tapeke o ngā huihuinga, ngā kitenga rānei. I te nuinga o te wā ka whakaatuhia hei ira tekau, hei ōrau rānei. Ko te tātai mō te tatau i te auau whanaunga ko:
\[ \text{Auautanga Whānui} = \frac{\text{Auautanga o te Takahanga}}{\text{Auautanga Katoa}} \]
2. Te Hiranga o te Auautanga Whakawhanaunga
He mārama ake, he mārama ake hoki te āhua o te auautanga whanaunga i te auautanga tino. Nā te mea ka whakaarohia e te auautanga whanaunga te rahi, te tauine rānei o te huinga raraunga katoa, kia māmā ake ai te whakataurite i tētahi huinga raraunga ki tētahi atu, ahakoa he rerekē te maha o ngā raraunga katoa i roto i ngā huinga e rua.
3. Ngā Tauira Pātai me te Kōrero
Hei mārama ake ki te ariā o te auautanga whanaunga, me titiro tātou ki ētahi tauira pātai me ā rātou matapakinga.
Tauira Pātai 1
E whakaatu ana i te maha o ngā manuhiri o te whare pukapuka i ngā rā rerekē o te wiki, koinei ngā raraunga e whai ake nei:
– Rāhina: 50 manuhiri
– Tūrei: 40 manuhiri
– Wenerei: 60 manuhiri
– Rāpare: 30 manuhiri
– Paraire: 70 manuhiri
Tātaihia te auau ōrite mō ia rā.
Kōrero:
1. Tatauhia te tapeke o ngā manuhiri i roto i te wiki kotahi.
\[
\text{Ngā Manuhiri Katoa} = 50 + 40 + 60 + 30 + 70 = 250
\]
2. Tātaihia te auau whanaunga mō ia rā mā te whakamahi i te tātai:
\[
\text{Auautanga Whānui} = \frac{\text{Auautanga Rā}}{\text{Auautanga Katoa}}
\]
3. Ko te auau whanaunga mō ia rā ko:
- Mane:
\[
\text{Auautanga Whakawhanaunga o te Mane} = \frac{50}{250} = 0.20 \text{ or } 20\%
\]
- Tūrei:
\[
\text{Auautanga Āhua Tūrei} = \frac{40}{250} = 0.16 \text{ or } 16\%
\]
- Wenerei:
\[
\text{Auautanga Whakawhanaunga o te Wenerei} = \frac{60}{250} = 0.24 \text{ or } 24\%
\]
- Rāpare:
\[
\text{Auautanga Whakawhanaungatanga o te Rāpare} = \frac{30}{250} = 0.12 \text{ or } 12\%
\]
- Paraire:
\[
\text{Te Auautanga Whakawhanaunga o te Paraire} = \frac{70}{250} = 0.28 \text{ or } 28\%
\]
Mā te auautanga whanaunga, ka kitea ko te Paraire te wāhi nui rawa atu o ngā manuhiri i roto i te wiki.
Tauira Pātai 2
I runga i te auau o ngā hoko aporo i roto i te marama kotahi:
– Wiki 1: 15 ngā wahi
– Wiki 2: 20 ngā wahi
– Wiki 3: 25 ngā wahi
– Wiki 4: 40 ngā wahi
Tātaihia te auau whanaunga mō ngā hoko āporo i ia wiki.
Kōrero:
1. Tātaihia te tapeke o ngā hoko aporo i roto i te marama.
\[
\text{Ngā Hokonga Katoa} = 15 + 20 + 25 + 40 = 100
\]
2. Tātaihia te auau ōrite i ia wiki:
\[
\text{Auautanga Whānui} = \frac{\text{Auautanga Wiki}}{\text{Auautanga Katoa}}
\]
3. Auautanga ōrite mō ia wiki:
– Wiki 1:
\[
\text{Wiki 1 Auautanga Whakatairanga} = \frac{15}{100} = 0.15 \text{ or } 15\%
\]
– Wiki 2:
\[
\text{Wiki 2 Auautanga Whakatairanga} = \frac{20}{100} = 0.20 \text{ or } 20\%
\]
– Wiki 3:
\[
\text{Wiki 3 Auautanga Whakatairanga} = \frac{25}{100} = 0.25 \text{ or } 25\%
\]
– Wiki 4:
\[
\text{Wiki 4 Auautanga Whakatairanga} = \frac{40}{100} = 0.40 \text{ or } 40\%
\]
Mai i tēnei tauira, e mārama ana ko te wiki tuawhā te wiki i nui rawa ai ngā hokonga aporo, ā, ko te auau whanaunga he 40%.
Tauira Pātai 3
Hei tauira, i roto i tētahi akomanga, koinei ngā raraunga e pā ana ki te tokomaha o ngā ākonga e pai ana ki ngā kaupapa rerekē:
– Pāngarau: 10 ngā ākonga
– Reo Pākehā: 15 ngā ākonga
– Ngā Pūtaiao Taiao (IPA): 20 ngā ākonga
– Hītori: 5 ngā ākonga
Tātaihia te auau ōrite mō ia kōwhiringa kaupapa.
Kōrero:
1. Tatauhia te tapeke o ngā ākonga.
\[
\text{Tapeke Ākonga} = 10 + 15 + 20 + 5 = 50
\]
2. Tātaihia te auau ōrite mō ia kaupapa:
\[
\text{Auautanga Whānui} = \frac{\text{Auautanga Kaupapa}}{\text{Auautanga Katoa}}
\]
3. Auautanga ōrite mō ia kaupapa:
- Pāngarau:
\[
\text{Auautanga Pāngarau} = \frac{10}{50} = 0.20 \text{ or } 20\%
\]
- Ingarihi:
\[
\text{Te Auautanga Whakawhanaunga o te Reo Ingarihi} = \frac{15}{50} = 0.30 \text{ or } 30\%
\]
– Ngā Pūtaiao Taiao (IPA):
\[
\text{Te Auautanga Whānui o te Pūtaiao} = \frac{20}{50} = 0.40 \text{ or } 40\%
\]
- Hītori:
\[
\text{Auautanga Whakatairanga Hītori} = \frac{5}{50} = 0.10 \text{ or } 10\%
\]
Mai i konei ka kitea ko ngā Pūtaiao Taiao te kaupapa rongonui rawa atu me te auau whanaunga o te 40%, ko te Hītori ia te mea iti rawa te rongonui me te auau whanaunga o te 10%.
Te Katinga
He taputapu tino whai hua te auautanga whanaunga i roto i te tātari raraunga tatauranga, hei āwhina i a tātou ki te mārama ki ngā ōwehenga me te tohatoha o ngā raraunga i roto i tētahi huinga raraunga. Mā te whakamahi i te auautanga whanaunga ka taea e tātou te whakataurite i ngā raraunga i runga i te tirohanga whānui, me te tautuhi i ngā au, i ngā tauira rānei kāore pea e kitea i roto i ngā raraunga mata. Mā roto i ngā tauira kua kōrerohia, ko te tumanako ka mārama ake, ka ngāwari ake hoki te mārama ki te ariā o te auautanga whanaunga, ā, ka taea ai te whakamahi ki ngā momo āhuatanga tātari raraunga rerekē.
