te Pouako Te P ān ga te Wh ār ite me te Kauwhata Ngā Whāinga mō tēnei Akoranga Kia mōhio ki Ngā Whāinga mō tēnei Akoranga Kia mōhio ID: 786607
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Slide1
He
Whakaaturanga mā te Pouako
Te
P
ān
ga
,
te
Wh
ār
ite
me
te
Kauwhata
Slide2Ngā
Whāinga mō tēnei AkorangaKia mōhio ki:
Slide3Ngā
Whāinga mō tēnei AkorangaKia mōhio ki:te
whakaatu
pānga
rārangi
ki
te
tūtohi
;
Slide4Ngā
Whāinga mō tēnei AkorangaKia mōhio ki:te
whakaatu
pānga
rārangi
ki te
tūtohi
;
te
tuhi
whārite
hei whakaatu pānga
rārangi;
Slide5Ngā
Whāinga mō tēnei AkorangaKia mōhio ki:te
whakaatu
pānga
rārangi
ki te
tūtohi
;
te tuhi
whārite
hei whakaatu pānga
rārangi;
te
whakaatu pānga rārangi
ki te
kauwhata;
Slide6Ngā
Whāinga mō tēnei AkorangaKia mōhio ki:te
whakaatu
pānga
rārangi
ki te
tūtohi
;
te tuhi
whārite
hei whakaatu pānga
rārangi;
te
whakaatu pānga rārangi
ki te
kauwhata;
te
hononga
o te
whārite
me
te
kauwhata
rārangi
.
Slide7Ngā
Whāinga mō tēnei AkorangaKia mōhio ki:te
whakaatu
pānga
rārangi
ki te
tūtohi
;
te tuhi
whārite
hei whakaatu pānga
rārangi;
te
whakaatu pānga rārangi
ki te
kauwhata;
te
hononga
o te
whārite
me te
kauwhata
rārangi
.
E
whā
ngā
rapanga
i
tēnei
whakaakoranga hei
tirotiro māu,
hei
tūhura i te tūhonohono o te tūtohi, te
whārite
me te kauwhata
hei
whakaatu
pānga
.
Slide8Rapanga 1: Ngā
TaurangiĀta whakaarohia tēnei rapanga:
Slide9Rapanga 1: Ngā
TaurangiĀta whakaarohia tēnei rapanga:Kei te
penapena
moni a Mākere. Ia
wiki
ka
whakaurua
te
$20
ki tana
pūtea penapena.
E
hiahia ana
a Mākere kia mōhio i te rahi o
āna
moni
penapena
i te
paunga
o
ia wiki, haere ake
nei.
Slide10Rapanga 1: Ngā
TaurangiĀta whakaarohia tēnei rapanga:Kei te
penapena
moni a Mākere. Ia
wiki
ka
whakaurua
te
$20
ki tana
pūtea penapena.
E
hiahia ana
a Mākere kia mōhio i te rahi o
āna
moni
penapena
i te
paunga
o
ia wiki, haere ake
nei.
Hei
mahi:
Ko te maha o
ngā wiki
e
penapena
moni
ana
a Mākere tētahi o
ngā
taurangi i tēnei rapanga.
He aha
tētahi
atu
taurangi
?
Slide11Rapanga 1:
Te TūtohiKei te penapena moni a Mākere. Ia wiki ka
whakaurua
te
$20
ki tana
pūtea penapena.
E
hiahia ana
a Mākere kia mōhio i te rahi o
āna
moni
penapena
i te
paunga
o
ia wiki, haere ake
nei.
Slide12Rapanga 1:
Te TūtohiKei te penapena moni a Mākere. Ia wiki ka whakaurua te
$20
ki tana
pūtea penapena.
E
hiahia ana
a Mākere kia mōhio i te rahi o
āna
moni
penapena
i te
paunga
o
ia wiki, haere ake
nei.
Hei
mahi:
Whakaaturia
ngā
taurangi
rua o tēnei rapanga ki tētahi tūtohi,
arā,
te maha o
ngā wiki
(tae
atu
ki te
wiki
tua-6 me te rahi o te
pūtea
i
ia
wiki).
Slide13Rapanga 1:
Te Tūtohi
wiki
0
1
2
3
4
5
6
pūtea
($)
0
20
40
60
80
100
120
Kei te
penapena
moni a Mākere. Ia
wiki
ka
whakaurua
te
$20
ki tana
pūtea penapena.
E
hiahia ana
a Mākere kia mōhio i te rahi o
āna
moni
penapena
i te
paunga
o
ia wiki, haere ake
nei.
Hei
mahi:
Whakaaturia
ngā
taurangi
rua o tēnei rapanga ki tētahi tūtohi,
arā,
te maha o
ngā wiki
(tae
atu
ki te
wiki
tua-6 me te rahi o te
pūtea
i
ia
wiki).
Slide14Rapanga 1:
Te Whakamārama
wiki
0
1
2
3
4
5
6
pūtea
($)
0
20
40
60
80
100
120
Slide15Rapanga 1:
Te Whakamārama
wiki
0
1
2
3
4
5
6
pūtea
($)
0
20
40
60
80
100
120
Hei
mahi:
Āta
tirohia
te
tūtohi.
He
aha
te
pānga
o
tētahi
taurangi
ki
tētahi?
He
aha
te
pānga
o
te
maha
o
ngā
wiki
ki
te
rahi
o
te
pūtea?
Slide16Rapanga 1:
Te Whakamārama
wiki
0
1
2
3
4
5
6
pūtea
($)
0
20
40
60
80
100
120
Hei
mahi:
Āta
tirohia
te
tūtohi
.
He
aha
te
pānga
o
tētahi
taurangi
ki
tētahi
?
He
aha
te
pānga
o
te
maha
o
ngā
wiki
ki
te
rahi
o
te
pūtea
?
Ina
whakareatia
te
maha
o
ngā
wiki
e
penapena
moni
ana
a
Mākere
ki te
20,
tērā
ka
hua
ko
te
rahi
o
te
pūtea
penapena.
Arā,
e
$20
i
ia
wiki.
Slide17Rapanga 1:
Te Whakamārama
wiki
0
1
2
3
4
5
6
pūtea
($)
0
20
40
60
80
100
120
Hei
mahi:
Āta
tirohia
te
tūtohi
.
He
aha
te
pānga
o
tētahi
taurangi
ki
tētahi
?
He
aha
te
pānga
o
te
maha
o
ngā
wiki
ki
te
rahi
o
te
pūtea
?
Ina
whakareatia
te
maha
o
ngā
wiki
e
penapena
moni
ana
a
Mākere
ki te
20,
tērā
ka
hua
ko
te
rahi
o
te
pūtea
penapena.
Arā,
e
$20
i
ia
wiki.
Ko
te
whārite
te
tuhinga
poto
hei
whakaatu
i
tēnei
mea
te
pānga.
Arā:
P
=
20
w
Slide18Rapanga 1:
Te Whārite
wiki
0
1
2
3
4
5
6
pūtea
($)
0
20
40
60
80
100
120
Slide19Rapanga 1:
Te WhāriteHei mahi:He aha te
whakamārama
mō te
whārite nei hei whakaatu
i te
pānga
o tētahi o
ngā
taurangi ki
tētahi?
P
=
20
w
wiki
0
1
2
3
4
5
6
pūtea
($)0204060
80
100
120
Slide20Rapanga 1:
Te WhāriteHei mahi:He aha te
whakamārama
mō te
whārite nei hei whakaatu
i te
pānga
o tētahi o
ngā
taurangi ki
tētahi?
P
=
20
w
Ko te
‘P’
hei
tohu i te rahi o te
pūtea penapena.
Ko te
‘w’
hei
tohu i te maha o
ngā wiki.
Whakareatia te ‘w’ ki te 20, ka hua ko te rahi o te pūtea penapena.wiki0123456pūtea ($)
0
20
40
60
80
100
120
Slide21Rapanga 1:
Te KauwhataKo tētahi atu momo whakaatu i
tēnei
mea
te
pānga,
ko te
kauwhata.
Titiro
ki te
kauwhata
nei.
He
aha
ētahi
whakamārama?
0
20
40
60
100
80
120
140
0 1 2 3 4 5
putea
($)
wiki
(w)
×
×
×
×
×
×
P
w
=
20
Slide22Rapanga 1:
Te Kauwhata
0
20
40
60
80
100
120
140
0 1 2 3 4 5
putea
($)
wiki
(w)
×
×
×
×
×
×
P
w
=
20
E
rua
ngā
tuaka
o
te
kauwhata.
Ko
te
tuaka
pae
e
whakaatu
ana
i
te
maha
o
ngā
wiki.
Ko
te
tuaka
pou
e
whakaatu
ana
i
te
rahi
o
te
pūtea.
Slide23Rapanga 1:
Te Kauwhata
0
20
40
60
80
100
120
140
0 1 2 3 4 5
putea
($)
wiki
(w)
×
×
×
×
×
×
P
w
=
20
E
rua
ngā
tuaka
o
te
kauwhata.
Ko
te
tuaka
pae
e
whakaatu
ana
i
te
maha
o
ngā
wiki.
Ko
te
tuaka
pou
e
whakaatu
ana
i
te
rahi
o
te
pūtea.
Kua
tohua ngā
takirua raupapa
roto i
te
tūtohi
ki te
kauwhata
,
arā,
(0,0) (1,20) (2,40) (3,60) (4,80)
(5,100).
Slide24Rapanga 1:
Te KauwhataKua honoa ngā pūwāhi
o
ngā
takirua
raupapa
ki
te
rārangi
torotika.
0
20
40
60
80
100
120
140
0 1 2 3 4 5
putea
($)
wiki
(w)
×
×
×
×
×
×
P
w
=
20
E
rua
ngā
tuaka
o
te
kauwhata.
Ko
te
tuaka
pae
e
whakaatu
ana
i
te
maha
o
ngā
wiki.
Ko
te
tuaka
pou
e
whakaatu
ana
i
te
rahi
o
te
pūtea.
Kua
tohua ngā
takirua raupapa
roto i
te
tūtohi
ki te
kauwhata
,
arā,
(0,0) (1,20) (2,40) (3,60) (4,80)
(5,100).
Slide25Rapanga 1:
Te KauwhataKua honoa ngā pūwāhi
o
ngā
takirua
raupapa
ki
te
rārangi
torotika.
Ko
tā
te
rārangi
torotika
e tohu ana, he ōrite te piki o tepūtea penapena i ia wiki.
0
20
40
60
80
100
120
140
0 1 2 3 4 5
putea
($)
wiki
(w)
×
×
×
×
×
×
P
w
=
20
E
rua
ngā
tuaka
o
te
kauwhata.
Ko
te
tuaka
pae
e
whakaatu
ana
i
te
maha
o
ngā
wiki.
Ko
te
tuaka
pou
e
whakaatu
ana
i
te
rahi
o
te
pūtea.
Kua
tohua
ngā
takirua
raupapa
roto i
te
tūtohi
ki te
kauwhata,
arā,
(0,0) (1,20) (2,40) (3,60) (4,80)
(5,100).
Slide26Rapanga
2He rapanga hei āta whakaaro anō
māu:
Slide27Rapanga
2He rapanga hei āta whakaaro anō māu:
Kei
te
penapena
moni
a
Ihipa.
E
$40 kei
tana pūtea
i
te
tīmatanga.
Ia
wiki
ka
whakaurua
te
$10
ki
tana pūtea penapena. E hiahia ana a Ihipa kia mōhio i te rahi o āna moni penapena i te paunga o ia wiki.
Slide28Rapanga
2He rapanga hei āta whakaaro anō māu:
Kei
te
penapena
moni
a
Ihipa.
E
$40 kei
tana pūtea
i
te
tīmatanga.
Ia
wiki
ka
whakaurua
te
$10
ki
tana pūtea penapena. E hiahia ana a Ihipa kia mōhio i te rahi o āna moni penapena i te paunga o ia wiki.Hei mahi:Whakaaturia te rahi o te pūtea i ia wiki ki tētahi tūtohi.Tuhia he whārite hei tātai i te rahi o
te
pūtea
me
te
whakamārama
anō
hoki.
Tuhia
he
kauwhata
rārangi
hei
whakaatu
i
te
rahi
o
te
pūtea
i
ia
wiki.
Slide29Rapanga
2: Te Tūtohi, te Whārite me te Whakamārama
Kei
te
penapena
moni
a
Ihipa.
E
$40 kei
tana
pūtea
i
te
tīmatanga.
Ia
wiki
ka
whakaurua
te
$10
ki
tana pūtea penapena. E hiahia ana a Ihipa kia mōhio i te rahi o āna moni penapena i te paunga o ia wiki.
Slide30Rapanga
2: Te Tūtohi, te Whārite me te WhakamāramaKei te penapena moni
a
Ihipa.
E
$40 kei
tana
pūtea
i
te
tīmatanga.
Ia
wiki
ka
whakaurua
te
$10
ki
tana
pūtea
penapena. E hiahia ana a Ihipa kia mōhio i te rahi o āna moni penapena i te paunga o ia wiki.Ko te tūtohi hei whakaatu i te pānga:wiki0123
4
5
6
pūtea
($)
40
50
60
70
80
90
100
Slide31Rapanga
2: Te Tūtohi, te Whārite me te WhakamāramaKei te penapena moni
a
Ihipa.
E
$40 kei
tana
pūtea
i
te
tīmatanga.
Ia
wiki
ka
whakaurua
te
$10
ki
tana
pūtea
penapena. E hiahia ana a Ihipa kia mōhio i te rahi o āna moni penapena i te paunga o ia wiki.Ko te tūtohi hei whakaatu i te pānga:Ko te whārite hei whakaatu i te pānga:P = 10w + 40
wiki
0
1
2
3
4
5
6
pūtea
($)
40
50
60
70
80
90
100
Slide32Rapanga
2: Te Tūtohi, te Whārite me te WhakamāramaKei te penapena moni
a
Ihipa.
E
$40 kei
tana
pūtea
i
te
tīmatanga.
Ia
wiki
ka
whakaurua
te
$10
ki
tana
pūtea
penapena. E hiahia ana a Ihipa kia mōhio i te rahi o āna moni penapena i te paunga o ia wiki.Ko te tūtohi hei whakaatu i te pānga:Ko te whārite hei whakaatu i te pānga:P = 10w + 40Ko te whakamārama:Whakareatia te maha o ngā wiki e penapena moni ana
a
Ihipa
ki
te
10,
ka
tāpiri
ai
i
te
$40,
nā
te
mea
$10
ka
penapenahia
i
ia
wiki,
ā,
ko
te
$40 i tana pūtea
i te tīmatanga.
wiki
0
1
2
3
4
5
6
pūtea
($)
40
50
60
70
80
90
100
Slide33Rapanga 2:
Te KauwhataĀta tirohia te kauwhata e whakaatu ana i te penapena moni a
Ihipa.
Tīmata
ana
te kauwhata i
hea?
0
60
80
100
120
140
0 1 2 3 4 5
putea
($)
wiki
(w)
×
40
×
20
×
×
×
×
P
=
10w
+
40
Slide34Rapanga 2:
Te KauwhataĀta tirohia te kauwhata e whakaatu ana i te penapena moni a
Ihipa.
Tīmata
ana
te kauwhata i
hea?
0
20
60
80
100
120
140
0 1 2 3 4 5
putea
($)
wiki
(w)
40
×
×
×
×
×
×
P
=
10w
+
40
Kāore i te
pērā
rawa te
piki haere
o te kauwhata (
te
rōnaki
o te rārangi) i te kauwhata tuatahi (te mea e
whakaatu ana
i te
penapena
moni a Mākere).
He aha
ai?
Slide35Rapanga 2:
Te Kauwhata
0
60
80
100
120
140
0 1 2 3 4 5
putea
($)
wiki
(w)
×
40
×
20
×
×
×
×
P
=
10w
+
40
Tīmata
ana
te
kauwhata
i
te
pūwāhi
(0,40). Koirā
e
tohu
ana
i
te
$40
i
roto
i
te
pūtea
a
Ihipa
i
mua
i
tana
tīmatanga
ki
te
penapena
moni
(arā,
te
wiki
‘0’)
Slide36Rapanga 2:
Te Kauwhata
0
20
60
80
100
120
140
0 1 2 3 4 5
putea
($)
wiki
(w)
40
×
×
×
×
×
×
P
=
10w
+
40
He
āhua māmā
ake
te
rōnaki
o
tēnei
kauwhata
nā te
mea
he
iti
ake
te
moni
e
penapenahia
ana
e
Ihipa
($10
i
te
wiki)
i
te
moni
e
penapenahia
ana
e
Mākere
(e
$20
i
te
wiki).
Tīmata
ana
te
kauwhata
i
te
pūwāhi
(0,40). Koirā
e
tohu
ana
i
te
$40
i
roto
i
te
pūtea
a
Ihipa
i
mua
i
tana
tīmatanga
ki
te
penapena
moni
(arā,
te
wiki
‘0’)
Slide37Rapanga 2:
Te Kauwhata
0
20
60
80
100
120
140
0 1 2 3 4 5
putea
($)
wiki
(w)
40
×
×
×
×
×
×
P
=
10w
+
40
He
āhua māmā
ake
te
rōnaki
o
tēnei
kauwhata
nā te
mea
he
iti
ake
te
moni
e
penapenahia
ana
e
Ihipa
($10
i
te
wiki)
i
te
moni
e
penapenahia
ana
e
Mākere
(e
$20
i
te
wiki).
Tīmata
ana
te
kauwhata
i
te
pūwāhi
(0,40). Koirā
e
tohu
ana
i
te
$40
i
roto
i
te
pūtea
a
Ihipa
i
mua
i
tana
tīmatanga
ki
te
penapena
moni
(arā,
te
wiki
‘0’)
He
torotika
te
rārangi
nā
te
mea
he
pūmau
tonu
te
moni
penapena
i
ia
wiki.
Slide38Rapanga
3He rapanga hei āta whakaaro anō māu:
Slide39Rapanga
3He rapanga hei āta whakaaro anō māu:
Kei te
penapena
moni a Poihipi. E
$60
te tarepa (te
whero)
o tana
pūtea
i te tīmatanga. Ia
wiki
ka
whakaurua
te
$40
ki tana
pūtea
penapena.
E
hiahia ana
a Poihipi kia mōhio i te rahi o tana
pūtea penapena
i te
paunga
o ia wiki.
Slide40Rapanga
3He rapanga hei āta whakaaro anō māu:
Kei te
penapena
moni a Poihipi. E
$60
te tarepa (te
whero)
o tana
pūtea
i te tīmatanga. Ia
wiki
ka
whakaurua
te
$40
ki tana
pūtea
penapena.
E
hiahia ana
a Poihipi kia mōhio i te rahi o tana
pūtea penapena
i te
paunga
o ia wiki.Hei mahi:Whakaaturia te rahi o te pūtea i ia wiki ki tētahi tūtohi.Tuhia he whārite hei tātai i te rahi o te pūtea me te whakamārama anō hoki.Tuhia he kauwhata rārangi hei whakaatu i te rahi o te pūtea i ia wiki.
Slide41Rapanga 3:
Te Tūtohi, te Whārite me te WhakamāramaKei te penapena moni
a
Poihipi.
E
$60
te
tarepa
(te
whero)
o
tana
pūtea
i
te tīmatanga. Ia wiki ka whakaurua te $40 ki tana pūtea penapena. E hiahia ana a Poihipi kia mōhio i te rahi o tana pūtea penapena i te paunga o ia wiki.
Slide42Rapanga 3:
Te Tūtohi, te Whārite me te Whakamārama
wiki
0
1
2
3
4
5
6
pūtea
($)
–
60
–
20
20
60
100
140
180
Kei
te
penapena
moni
a
Poihipi
.
E
$60
te
tarepa
(
te
whero
)
o
tana
pūtea
i
te
tīmatanga
.
Ia
wiki
ka
whakaurua
te
$40
ki
tana
pūtea
penapena. E
hiahia ana a
Poihipi kia mōhio
i te rahi
o tana pūtea
penapena i te
paunga o ia
wiki.Ko te
tūtohi hei whakaatu i te
pānga:
Slide43Rapanga 3:
Te Tūtohi, te Whārite me te WhakamāramaKo te whārite hei
whakaatu
i
te
pānga:
P
=
40
w
–
60
wiki
0
1
2
3
4
5
6
pūtea
($)–60–2020
60
100
140
180
Kei
te
penapena
moni
a
Poihipi
.
E
$60
te
tarepa
(
te
whero
)
o
tana
pūtea
i
te
tīmatanga
.
Ia
wiki
ka
whakaurua
te
$40 ki tana
pūtea penapena.
E hiahia ana
a Poihipi kia
mōhio i te
rahi o tana
pūtea penapena i
te paunga
o ia wiki.
Ko te tūtohi hei whakaatu
i te pānga:
Slide44Rapanga 3:
Te Tūtohi, te Whārite me te WhakamāramaKo te whārite hei whakaatu i te
pānga:
P
=
40
w
–
60
Ko te
whakamārama:
Whakareatia
te
maha
o
ngā
wiki
e
penapena moni ana a Poihipi ki te 40, ka tango ai i te $60, nā te mea e $40 ka penapenahia i ia wiki, ā, ko te $60 te tarepa o tana pūtea i te tīmatanga (arā te $60 tōraro).
wiki
0
1
2
3
4
5
6
pūtea
($)
–
60
–
20
20
60
100
140
180
Kei
te
penapena
moni
a
Poihipi
.
E
$60
te
tarepa
(
te
whero
)
o
tana
pūtea
i
te
tīmatanga
.
Ia
wiki
ka
whakaurua
te
$40 ki tana
pūtea penapena.
E hiahia ana
a Poihipi kia
mōhio i te
rahi o tana
pūtea penapena i
te paunga o
ia wiki.
Ko te tūtohi hei whakaatu i
te pānga:
Slide45Rapanga 3:
Te Kauwhata
0
-20
-40
-60
-80
20
40
60
80
100
5
wik
i
(w)
putea
($)
×
1 2 3 4
×
×
×
×
P
=
40
0
w
-
6
Āta
tirohia
te
kauwhata
e
whakaatu
ana
i
te
penapena
moni
a
Poihipi.
Tīmata
ana
te
kauwhata
i
hea?
Slide46Rapanga 3:
Te Kauwhata
0
-20
-40
-60
-80
20
40
60
80
100
1 2 3 4
5
wik
i
(w)
putea
($)
×
×
×
×
×
P
=
40
0
w
-
6
Āta
tirohia
te
kauwhata
e
whakaatu
ana
i
te
penapena
moni
a
Poihipi.
Tīmata
ana
te
kauwhata
i
hea?
He
āhua
poupou
te
piki
haere
o
te
kauwhata
(
te
rōnaki
o
te
rārangi).
He
aha
ai?
Slide47Rapanga 3:
Te Kauwhata
0
-20
-40
-60
-80
20
40
60
80
100
5
wik
i
(w)
putea
($)
×
1 2 3 4
×
×
×
×
P
=
40
0
w
-
6
Tīmata
ana
te
kauwhata
i
te
pūwāhi
(0,
-
60). Koirā
e
tohu
ana
i
te
tarepa
o
te
pūtea
a
Poihipi
(mā
te
$60)
i
mua
i
tana
tīmatanga
ki te
penapena
moni (arā,
te
wiki
‘0’)
Slide48Rapanga 3:
Te Kauwhata
0
-20
-40
-60
-80
20
40
60
80
100
5
wik
i
(w)
putea
($)
×
1 2 3 4
×
×
×
×
P
=
40
0
w
-
6
Tīmata
ana
te
kauwhata
i
te
pūwāhi
(0,
-
60). Koirā
e
tohu
ana
i
te
tarepa
o
te
pūtea
a
Poihipi
(mā
te
$60)
i
mua
i
tana
tīmatanga
ki te
penapena
moni (arā,
te
wiki
‘0’)
He
āhua
poupou
te
rōnaki
o
tēnei
kauwhata
nā te
mea
he
nui
te
moni
e
penapenahia
ana
e
Poihipi
(e
$40
i
te
wiki).
Slide49Rapanga 3:
Te Kauwhata
0
-20
-40
-60
-80
20
40
60
80
100
5
wik
i
(w)
putea
($)
×
1 2 3 4
×
×
×
×
P
=
40
0
w
-
6
Tīmata
ana
te
kauwhata
i
te
pūwāhi
(0,
-
60). Koirā
e
tohu
ana
i
te
tarepa
o
te
pūtea
a
Poihipi
(mā
te
$60)
i
mua
i
tana
tīmatanga
ki te
penapena
moni (arā,
te
wiki
‘0’)
He
āhua
poupou
te
rōnaki
o
tēnei
kauwhata
nā te
mea
he
nui
te
moni
e
penapenahia
ana
e
Poihipi
(e
$40
i
te
wiki).
He
torotika
te
rārangi
nā
te
mea
he
pūmau tonu
te
moni
penapena
i
ia
wiki.
Slide50Rapanga
4He rapanga hei āta whakaaro anō
māu:
Slide51Rapanga
4He rapanga hei āta whakaaro anō māu:
$100
kei
te
pūtea
a
Roimata
i
te
tīmatanga.
Ia
wiki
ka
tangohia
te
$20.
E
hiahia
ana
a
Roimata
kia mōhio i te rahi o pūtea i te paunga o ia wiki.
Slide52Rapanga
4He rapanga hei āta whakaaro anō māu:
$100
kei
te
pūtea
a
Roimata
i
te
tīmatanga.
Ia
wiki
ka
tangohia
te
$20.
E
hiahia
ana
a
Roimata
kia mōhio i te rahi o pūtea i te paunga o ia wiki.Hei mahi:Whakaaturia te rahi o te pūtea i ia wiki ki tētahi tūtohi.Tuhia he whārite hei tātai i te rahi o te pūtea me te whakamārama anō hoki. Tuhia he kauwhata rārangi
hei
whakaatu
i
te
rahi
o
te
pūtea
i
ia
wiki.
Slide53Rapanga 4:
Te Tūtohi, te Whārite me te Whakamārama$100 kei te pūtea a Roimata i
te
tīmatanga.
Ia
wiki
ka
tangohia
te
$20.
E
hiahia
ana
a
Roimata
kia
mōhio
i
te rahi o pūtea i te paunga o ia wiki.
Slide54Rapanga 4:
Te Tūtohi, te Whārite me te Whakamārama$100 kei te pūtea a
Roimata
i
te
tīmatanga.
Ia
wiki
ka
tangohia
te
$20.
E
hiahia
ana
a
Roimata
kia
mōhio
i te rahi o pūtea i te paunga o ia wiki.Ko te tūtohi hei whakaatu i te pānga:wiki01234
5
6
pūtea
($)
100
80
60
40
20
0
–
20
Slide55Rapanga 4:
Te Tūtohi, te Whārite me te Whakamārama$100 kei te pūtea a
Roimata
i
te
tīmatanga.
Ia
wiki
ka
tangohia
te
$20.
E
hiahia
ana
a
Roimata
kia
mōhio
i te rahi o pūtea i te paunga o ia wiki.Ko te tūtohi hei whakaatu i te pānga:Ko te whārite hei whakaatu i te pānga:P = -20w + 100wiki0
1
2
3
4
5
6
pūtea
($)
100
80
60
40
20
0
–
20
Slide56Rapanga 4:
Te Tūtohi, te Whārite me te Whakamārama$100 kei te pūtea a
Roimata
i
te
tīmatanga.
Ia
wiki
ka
tangohia
te
$20.
E
hiahia
ana
a
Roimata
kia
mōhio
i te rahi o pūtea i te paunga o ia wiki.Ko te tūtohi hei whakaatu i te pānga:wiki01234
5
6
pūtea
($)
100
80
60
40
20
0
–
20
Ko
te
whārite
hei
whakaatu
i
te
pānga:
P
=
-
20
w
+
100
Ko te
whakamārama:
Whakareatia
te
maha
o
ngā
wiki
e
whakapau
moni
ana
a
Roimata ki
te 20 tōraro,
ka tāpiri ai i te $100,
nā te mea e $20 te heke o
tana pūtea i ia wiki, ā,
ko te $100
i tana pūtea
i te tīmatanga.
Slide57Rapanga 4:
Te Kauwhata
($)
140
putea
120
100
×
80
×
60
×
P
=
-
20w
+
100
40
×
20
×
0
×
0 1 2 3 4 5
wiki
(w)
0
20
40
60
80
100
120
140
0 1 2 3 4 5
putea
($)
wiki
(w)
×
×
×
×
×
P
=
-
2
×
0w
+
100
Āta tirohia te kauwhata e
whakaatu
ana
i te
pūtea
a
Roimata.
Tīmata
ana
te kauwhata i
hea?
Slide58Rapanga 4:
Te Kauwhata
($)
140
putea
120
100
×
80
×
60
×
P
=
-
20w
+
100
40
×
20
×
0
×
0 1 2 3 4 5
wiki
(w)
0
20
40
60
80
100
120
140
0 1 2 3 4 5
putea
($)
wiki
(w)
×
×
×
×
×
P
=
-
2
×
0w
+
100
Āta tirohia te kauwhata e
whakaatu
ana
i te
pūtea
a
Roimata.
Tīmata
ana
te kauwhata i
hea?
E
heke ana
te kauwhata (te rōnaki o
te rārangi).
He aha
ai?
Slide59Rapanga 4:
Te Kauwhata
($)
140
putea
120
100
×
80
×
60
×
P
=
-
20w
+
100
40
×
20
×
0
×
0 1 2 3 4 5
wiki
(w)
0
20
40
60
80
100
120
140
0 1 2 3 4 5
putea
($)
wiki
(w)
×
×
×
×
×
P
=
-
2
×
0w
+
100
Tīmata
ana
te
kauwhata
i
te
pūwāhi
(0,100).
Koirā
e
tohu
ana
i
te
$100
i
roto
i
te
pūtea
a
Roimata
i
mua
i
tana
tīmatanga
ki te
penapena
moni (arā,
te
wiki
‘0’).
Slide60Rapanga 4:
Te Kauwhata
($)
140
putea
120
100
×
80
×
60
×
P
=
-
20w
+
100
40
×
20
×
0
×
0 1 2 3 4 5
wiki
(w)
0
20
40
60
80
100
120
140
0 1 2 3 4 5
putea
($)
wiki
(w)
×
×
×
×
×
P
=
-
2
×
0w
+
100
Tīmata
ana
te
kauwhata
i
te
pūwāhi
(0,100).
Koirā
e
tohu
ana
i
te
$100
i
roto
i
te
pūtea
a
Roimata
i
mua
i
tana
tīmatanga
ki te
penapena
moni (arā,
te
wiki
‘0’).
E
heke
ana
te
rōnaki
o
tēnei
kauwhata
nā
te
mea
e
pau
haere
ana
te
moni
i
ia
wiki,
e
iti
haere
ana
te
pūtea.
Slide61Rapanga 4:
Te Kauwhata
($)
140
putea
120
100
×
80
×
60
×
P
=
-
20w
+
100
40
×
20
×
0
×
0 1 2 3 4 5
wiki
(w)
0
20
40
60
80
100
120
140
0 1 2 3 4 5
putea
($)
wiki
(w)
×
×
×
×
×
P
=
-
2
×
0w
+
100
Tīmata
ana
te
kauwhata
i
te
pūwāhi
(0,100).
Koirā
e
tohu
ana
i
te
$100
i
roto
i
te
pūtea
a
Roimata
i
mua
i
tana
tīmatanga
ki te
penapena
moni (arā,
te
wiki
‘0’).
E
heke
ana
te
rōnaki
o
tēnei
kauwhata
nā
te
mea
e
pau
haere
ana
te
moni
i
ia
wiki,
e
iti
haere
ana
te
pūtea.
He
torotika
te
rārangi
nā
te
mea
he
pūmau tonu
te
moni
e
whakapauhia
ana
i
ia
wiki.
Slide62Te
Hononga o te Whārite me te KauwhataĀta tirohia ngā kauwhata e whā, me
ngā whārite
o tēnā me
tēnā.
He aha
te
hononga
o te
whārite
ki te
kauwhata?
0
20
40
60
100
80
120
140
0 1 2 3 4 5
putea
($)
wiki
(w)
×
×
×
×
×
×
=
20
P
w
0
20
60
80
100
120
140
0 1 2 3 4 5
putea
($)
wiki
(w)
40
×
×
×
×
×
×
P
=
10w
+
40
0
-20
-40
-60
-80
20
40
60
80
100
5
wik
i
(w)
putea
($)
×
1 2 3 4
×
×
×
×
P
=
40
w
-
60
0
20
40
60
80
100
120
140
putea
($)
0 1 2 3 4 5
wiki
(w)
×
×
×
×
×
P
=
-
2
×
0w
+
100
Slide63Te
Hononga o te Whārite me te KauwhataKo te tau tāpiri o te whārite e tohu ana i te
wāhi
e
haukoti ana
te kauwhata i te tuaka
pou.
20
40
60
80
100
120
140
0 1 2 3 4 5
putea
($)
wiki
(w)
0
×
×
×
×
×
×
P
w
=
20
0
20
60
80
100
120
140
0 1 2 3 4 5
putea
($)
wiki
(w)
40
×
×
×
×
×
×
P
=
10w
+
40
0
-20
-40
-60
-80
20
40
60
80
100
wik
i
(w)
putea
($)
×
1 2 3 4 5
×
×
×
×
P
=
40
w
-
60
0
20
40
60
80
100
120
140
0 1 2 3 4 5
putea
($)
wiki
(w)
×
×
×
×
×
×
P
=
-
2
0w
+
100
Slide64Te
Hononga o te Whārite me te Kauwhata
20
40
60
80
100
120
140
putea
($)
0 1 2 3 4 5
wiki
(w)
0
×
×
×
×
×
P
=
20w
20
×
1
0
20
60
80
100
120
140
putea
($)
0 1 2 3 4 5
wiki
(w)
40
×
×
×
×
×
×
P
=
10w
+
40
10
1
0
-20
-40
-80
20
40
60
80
100
wik
i
(w)
putea
($)
-60
×
1 2 3 4 5
×
×
×
P
=
40
w
-
60
40
×
1
0
20
40
60
80
120
140
putea
($)
0 1 2 3 4 5
wiki
(w)
100
×
×
×
×
×
P
=
-
2
0w
+
100
-20
×
1
Ko te tau
whakarea
o te
whārite
e tohu
ana
i te rōnaki o te
rārangi.
Mēnā
he nui
te tau
whakarea, he poupou
te
rōnaki.
Mēnā
he iti
te tau
whakarea, he
māmā te
rōnaki.
Mēnā
he
tau
tōraro
te tau
whakarea,
e
heke ana
te
rōnaki.
Slide65Te
Hononga o te Whārite me te KauwhataHei Mahi:
Tuhia
te
whārite
mō tēnei
kauwhata.
Tuhia
tētahi rapanga
penapena
moni e
hāngai
ana.
0
-20
-40
-60
20
120
100
80
60
40
1 2 3 4 5
wik
i
(w)
putea
($)
Slide66Te
Hononga o te Whārite me te KauwhataHei Mahi
Tuhia
te
whārite
mō tēnei
kauwhata.
Tuhia
te rapanga
pūtea
e
hāngai
ana.
0
-10
-20
-30
10
50
40
30
20
1 2 3 4
5
wik
i
(w)
putea
($)