Which is Bigger? (Y8)
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Approach:  One to one
ACCESS
Level: Year 8
Focus: Understanding fractions  
Resources:
3 fraction cards
160Kb
Questions/instructions:  

I’m going to show you some cards with two fractions written on them. Try to work out which fraction is bigger and why.
Hand student card 1.
Read card to student.

3
9
or 5
9
 
% responses
2009 ('05)
y4
y8
1. Which fraction is bigger? 5/9   70 (72)
2. Why is that fraction bigger? 5/9 has more ninths than 3/9   39 (38) 
  any other valid reason   25 (23)
Hand student card 2.
Read card to student.
3
10
or 3
8
   
3. Which fraction is bigger? 3/8   75 (70)
4. Why is that fraction bigger? eighths are bigger than tenths   38 (27)
  any other valid response   25 (26)
Hand student card 3.
Read card to student.
4
5
or 3
7
 
   
5. Which fraction is bigger? 4/5   75 (78)
6. Why is that fraction bigger? is almost a whole (or more than half) and is less than half   29 (18) 
  any other valid response   28 (39)

Total score:
8–9
  30 (18)
6–7
  21 (24)
4–5
  15 (21)
2–3
  20 (24)
0–1  
14 (13)
Subgroup Analysis [Click on charts to enlarge] :
Year 8


Commentary:
Students were no better in 2009 than in 2005 at choosing which fraction in each pair was bigger, but more 2009 students gave good explanations for a correct choice. On average, Pakeha students scored substantially higher than Mäori and Pasifika students.