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Questions
/ instructions:
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%
responses 2005 ('01) |
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| Y4 |
Y8 |
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1.
Use the sticks to make a fence with 4 sections. Draw the fence here.
|
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correctly
drawn with 4 sections (5
verticals) |
57
(64) |
87
(84) |
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| YEAR 8 ONLY: | ||||||||||||
| 2. Write a rule for this pattern. | number
of sticks = 3x + 1 (any letter, any order) |
• |
5
(3) |
|||||||||
rule
for number of sticks described in words clearly |
• |
10
(9) |
||||||||||
other
valid rule (e.g. 1 more post than number of sections) |
• |
17
(20) |
||||||||||
| 3. How many rails would be needed to make a fence with 10 sections? | 31
|
• |
27
(30) |
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| 4. How many rails would be needed to make a fence with 100 sections? | 301 |
• |
14
(17) |
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Total
score: |
6 |
• |
4
(2) |
|||||||||
5 |
• |
4
(5) |
||||||||||
4 |
• |
6
(8) |
||||||||||
3 |
• |
10
(11) |
||||||||||
2 |
• |
16
(18) |
||||||||||
1 |
• |
50
(44) |
||||||||||
0 |
• |
10
(13) |
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104KB
| Commentary:
Just over half of the year 4 students could construct the fence as requested. This increased to 87 percent at year 8, but few of the year 8 students could provide an adequate rule for the process or calculate more difficult tasks. 2001 and 2005 results were similar. |
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