Pāngarau

Papakupu Pāngarau

Pāngarau Wehenga 3 Wiki 7

Mahi kainga no te wiki 6: Tau & Taurangi taumata 5 wharangi 12 - 13

Whakamahana: Hautanga - Kei a wai? (Tuhia ngā rautaki)

Horahanga Tapatoru

Base and height of a triangle

(B) Base = (P) Papa /  (H) Height = (T) Teitei

Area = Horahanga Tapatoru (HT)

HT = 1/2 (P x T)

Ngohe (Hoki Mahara): Paenga & Horahanga

Ngohe 2: Te Ine me te Āhuahanga Taumata 4 wh 14  pātai  9 - 11

Ngohe 3: National Curriculum Mathematics Taumata 4 Bk 1 wh 223 Exercise 15:13

Rauemi Āwhina

He aha te pae (pi)
Paenga & Horahanga mō tētehi porowhita
Horahanga o tētehi tapatoru

Mahi kainga Wiki 7: Whakaotia ngā hei mahi (ā-pepa) i hoatu ki a koutou i te Rāpare

Hei Mahi 1 / 

Pāngarau Wehenga 3 Wiki 5

Ngohe: Te Raupapatanga Pāheko

Whakaotia te Hei Mahi 4 - 5

Ngohe: He Rautaki Whakarea, he rautaki Whakawehe

Whakaotia te Hei Mahi 3


Kēmu Pāngarau: E Ako Pāngarau / Kahoot 1 / Kahoot 2

Pāngarau Wehenga 3, Wiki 3

Whakamāhana: Whakaāwhiwhi, whakatau tata ki Kahoot!

Kēmu Kahoot! Whakaāwhiwhi Whakatau Tata


Puka: Te Tau me te Taurangi Taumata 4: Te Whakaāwhiwhi me te Whakatau Tata, wh 7

~He hokinga mahara~

He Whakamārama: Te Whakaāwhiwhi me te Whakatau Tata

Anei tētehi whakaaturanga reo Māori e whakamārama ana i ngā mahi o te whakaāwhiwhi me te whakatau tata.

E hāngai ana tēnei whakaaturanga ki te hei mahi 1 kei ngā whārangi 8 - 9 o te pukauka Te Tau me te Taurangi Taumata 4.


He Rautaki Tāpiritanga, he Rautaki Tangohanga

He Rautaki Whakarea, he Rautaki Whakawehe





Pāngarau MAHI KAINGA WEHENGA 3 Wiki 2 - Wiki 6

Whāia te tukanga Tuhuratanga Tauanga hei whakaputa i tētehi tuhuratanga tauanga e hāngai ki ngā kaupapa o raro nei




Karere - He aha te roa ka noho ki tētehi rawa matihiko i tētehi rā

Tatyana - He pēhea te roa kia whakarite i a koe anō mō te kura?

Raukura - Whakataiepatia te whira ki te kura, kāore rānei?

Marama - E hia ngā tae kei tētehi pēke M&Ms 26g te nui?

Pāngarau Rāmere Wiki 7 5/06/15

MAHI KAINGA - whakaotia te tātaritanga mō te tūhuratanga tauanga

Ngohe Paemahana - Whakaotia ngā ngohe - 1, 2, 3

E Ako Pāngarau - MARAMA

He rautaki whakarea nō Hapani, ngā mihi ki a whaene Keri mō te whakaatu mai





Pāngarau Rāpare Wiki 7 4/06/15 

He whakaoti i ngā mahi tūhuratanga tauanga

Pāngarau Rāmere Wiki 6 29/05/15 (2 - 3pm)

Whakamahana - Kahoot.it

Ngohe 1

He mahi takirua, takitahi rānei tēnei, mātakihia ngā whitiata kei raro iho nei (tētehi mō ia takirua) tāutungia ngā kōrero matua o roto, whakamāramahia ki te kopa.




NGĀ WHITIATA PAEMAHANA


Ine i te Paemahana




Paemahana vs Wera



Ngā momo ine-mahana rerekē



Ngohe 2

Whakaotia te ngohe tuarua ki te whārangi Pāngarau Wiki 6 (Google Docs) he whakamāhana paemāhana te mahi.

Anei te hononga: whakamātau 


Pāngarau Rāpare Wiki 6 28/05/15

Ngohe 1 - He mahi ā-rōpū


Ngohe 2 

Tirohia ētehi ine-mahana tūturu, ka whakawhiti kōrero mō te āwhata (scale).

He aha te paemahana iti rawa e whakaaturia ana ki te āwhata?
He aha te paemahana wera rawa atu o tēnei ine-mahana?
He aha ngā tohu e whakaaturia ana ki te āwhata o te ine-mahana?


He aha te tikanga o te 0º me te 100º. 

He aha te tikanga o ngā pūwāhi kei raro i te kore tākiri (0º)? 

Ngohe 3

He ngohe toharite, tau waenga, tau tānui, inenga whānui nō te puka NZ MATHS 4 

Ngohe 4 - he whakatau tau nui ki te whare uara tū

Ngohe 5 - Ngā Waeine nō Te Ao Tūroa - Kōwhiria kia 3 - 5 ngā pātai nō tēnei hei mahi hei whakautu


Pāngarau Rāpare Wiki 5 21/05/15

1. He ngohe whakamāhana ki Kahoot / he kēmu whakatere rautaki - 99

2. Te Takanga Wā - kua whakaritea ētehi rapanga hei whakaoti e pā ana ki ngā waiene nō te tūroa

He whakapae: E hia ngā rapanga ka whakaoti i te 40 haupū?

Kapohia te rapanga ki tō T-Papa, whakapirihia ki tō ake Blog, whakautua te/ngā pātai ki reira

3. Whakaotia ngā mahi tūhuratanga tauanga

  • Whakaritea kia 2 - 5 ngā kauwhata hei whakaatu i ōu raraunga (Kia kaua e whakarite i ngā kauwhata e 2 neke atu e whakaatu ana/e whakautu ana i te pātai ōrite) Me rerekē te tirohanga mō ia kauwhata.
  • Tātarihia ngā raraunga ki ngā kauwhata - he aha ōu kitenga, he ngā whāruarua (gaps)
  • Toharite / tau waenga/ tau tānui

MAHI KAINGA
Whakaritea tētehi KAHOOT e ia ākonga mō te whakamahana pāngarau āpōpō


Pāngarau Rāmere Wiki 4 15/05/15

Ngohe whakamahana ki Kahoot.it

Kēmu Pāngarau hou: 99 -he kēmu whakarite rautaki (whakamahana)

Ngā ture
Joker - māu anō tētehi uara (kei raro iho) e whakatau
A - +1/-1
K - 99
Q - +10/-10 
J - E hoki
10 - +10/-10
5- +5/-5
9, 8, 7, 6, 4, 3, 2 - ko te uara o te mata

Kia 3 ngā kāri ki ōu ringaringa i ngā wā katoa


Ngohe: Tau toharite/tau tānui/tau waenga/inenga whānui

- Whakaaturia ēnei raraunga ki ngā kauwhata


Tūhuratanga Tauanga

#4 - Tātari
Tātarihia ngā raraunga - whakaaturia ngā raraunga ki ngā kauwhata e hāngai ana.

#5 - Whakatau
Whakamāorihia (whakamāramahia) ngā raraunga
Whakatakoto kōrero hei whakautu i te pātai nui
Whakatakoto whakaaro hou

Pāngarau Rāpare Wiki 4 14/05/15

He ngohe whakamahana ki Kahoot.it

He waihanga  kauwhata ki Google Slides te mahi mō te tūhuratanga M&Ms me te tūhuratanga waka rererangi pepa hoki. 

Ngohe 2

Ko te rapu i te:

  • Tau toharite (mean/average) 
  • Tau tānui - mode
  • Tau waenga - Median
  • Inenga whānui




Mō rātou kāore i konei i tērā wiki - ka waihangatia ngā Popplets me te whai i te TūhuratangaTauanga (Stats.Investigation Cycle) hei whakaoti rapanga mō ngā M&Ms (Ngā mahi nō te Rāmere Wiki 3)


Pāngarau Rāmere Wiki 3 08/05/15

Tūhuratanga Tauanga

He Toa Tūhura Koe? (Are you a data detective?) Statistical Investigation Cycle

Ngohe 1

Kāore mātou i te whakaoti mahi kainga i ngā wā katoa, he aha tētehi rautaki pai?

Whāia te tauira Tūhuratanga Tauanga

Ngohe 2 

He aha te roa e rere ai tētehi waka rererangi pepa ki te rangi. Tāutungia tōna tau toharite (mean/average)

Whāia te tauira Tūhuratanga Tauanga

Ngohe 3

Kōwhiria tō ake pātai e pā ana ki ngā M&Ms (e 3 katoa ngā pākete 200g)

Whāia te tauira Tūhuratanga Tauanga

Whakamahia te tauira kaiako ki Popplet - waihangā tō ake Popplet hei kohi whakaaro, hei tuhi kōrero

Popplet: He tauira ōhiamanomano mō te Tuhuratanga Tauanga

He rauemi āwhina 
How Kids Learn - Statistical Enquiry
NZ Maths Statistical Enquiry

 

MAHI KAINGA 1

Whakaritea ngā raraunga mai i tō Popplet mō ngā M&Ms ki ētehi kauwhata (KI GOOGLE SHEETS) - Tohaina mai tēnei mahi ki ahau

Ka whakapiri atu ki Popplet hei te Rāmere 15/05/15

MAHI KAINGA 2

Whakaritea tētehi whakamārama me tētehi tauira o te whakamahinga i tēnei tūtohi, kauwhata rānei ki tētehi pepa A4 - ka whakairi ki ngā pātū o te kopa kia mārama ai te katoa ki te pūtake o ngā momo tūtohi, kauwhata anō hoki. 

Mauria mai ngā tauira ki te kura hei tēnei Rāmere 15/05/15
Felix - Tūtohi Venn, kauwhata wā (time series), kauwhata porowhita (pie)

Tatyana - kauwhata pou (bar/column), kauwhata kato (flow), kauwhata rārangi (line)

Karere - Tūtohi whakatauirite (comparison chart), kauwhata rautō (stem &leaf), Tūtohi Tohatoha (Distribution)

Raukura - Kauwhata waerenga  (plot), kauwhata horahanga (area), tūtohi whānaungatanga (relationship)

Marama - Tūtohi tatauranga (talley chart), kapua kupu (word cloud) 


MAHI KAINGA 3

TŪHURATANGA TAUANGA - RANGAHAU MATUA - Me whakawhiti whakaaro ki ōu mātua, ki tō whānau hoki e pā ana ki tētehi kaupapa hei rangahau māu - Koinei te kaupapa ka whakaaturia ki te Taranaki Maths Fair hei te wehenga 3. Me whakatau koe i tō kaupapa tūhuratanga tauanga hei te WIKI 8.

GOOGLE GRAPHS


 

EXCEL BASIC GRAPH






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