Approach: One
to one |
Level:
Year 4
and year 8 |
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Focus:
Patterns/sequences.
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Resources:
Yellow/blue train;
red/green train, garage. |
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1MB |
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Questions/instructions:
Show the yellow/blue train.
The trucks on the train are being painted yellow and blue. You will see
that there is a pattern in the way they are being painted, and that not
all of the trucks have been painted yet.
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%
responses
2001 ('97)
|
y4
|
y8
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1.
If the painters keep on painting the trucks, what colour will truck 18
be? (Point to number 18) |
blue
|
97
(95)
|
97
(97)
|
Now Ill put
a garage over some of the trucks.
Cover numbers 12 to 25. Leave garage on through to question 6.
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2.
What colour will they paint truck 21? |
yellow
|
81
(76)
|
87
(83)
|
3.
What colour will they paint truck 26? |
blue
|
69
(69)
|
85
(78)
|
4.
If the train went on to have more trucks, what colour would they paint
truck 39? |
yellow
|
64
(59)
|
83
(75)
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5.
How did you work that out? |
not
marked
|
|
|
6.
If the train had 60 trucks, how many would be painted yellow? |
30
|
57
(53
|
84
(86)
|
7.
If Batman came swooping down and landed on a truck, do you think he would
definitely land on a blue truck, he might land on a blue truck, or he
wouldnt land on a blue truck?
|
might
|
74
(62)
|
90
(88)
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8.
What is the chance of him landing on a blue truck?
|
50%,
50/50, equal
|
|
72
(62)
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Show second train
with [green] and [red] trucks.
Here is another train, and it has its trucks painted in a different
pattern.
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9.
What colour will truck 18 be?
|
red
|
92
(90)
|
93
(91)
|
10.
If the train went on to have more trucks, what colour would they paint
truck 42?
|
red
|
|
50
(53)
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11.
How did you work that out?
|
not
marked
|
|
|
12.
How many green trucks would there be all together up to 42? |
28
|
|
20
(17)
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13.
If Batman came swooping down and landed on a truck of this train, do you
think he would definitely land on a green truck, he might land on a green
truck, or he wouldnt land on a green truck?
|
might
|
59
(51)
|
74
(73)
|
14.
What is the chance of him landing on a green truck?
|
2/3,
2 out of 3,
67% or similar
|
|
23
(26)
|
Commentary
The 2001 year 4 students were a little more successful than their 1997
counterparts. The results for year 8 students were more mixed. |