What Next?
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Approach:  Station
ACCESS
Level: Year 4 and year 8
Focus: Patterns and relationships  
Resources:
Picture, green and yellow pencils, answer booklet
176kb
Questions/instructions:

Look at the picture.
It shows a pattern made with counters.
 
% responses
2009 ('05)
y4
y8
1. Use the green and yellow pencils to draw the next pattern – pattern number 3.    
pattern drawn appropriately 25 (31) 53 (71)
YEAR 8 ONLY:    
2. This table shows the pattern in numbers. Finish the table by filling in the missing numbers.
Pattern Green Yellow  
1 3 1
2 5 4
3 7 9 both correct
one correct 		  43 (47)
36 (36)
4 9 16 both correct
one correct 		29 (30)
46 (48)
5 11 25 both correct
one correct 		23 (27)
50 (48)
100 201 10 000 both correct
one correct 		3 (5)
5 (7)

 
Total score:
 8–9
  5 (9)
6–7
21 (23)
4–5
32 (33)
2–3
20 (16)
0–1
22 (19)
Subgroup Analysis [Click on charts to enlarge] :
Year 4
Year 8
Commentary:
This task involved recognition and extrapolation of patterns. Very few year 8 students managed the final step of generalising the pattern to the 100th step. Performance dropped a little for both year 4 and year 8 students between 2005 and 2009. At year 8 level, Pasifika students were much less successful, on average, than Pakeha students.