Chocolate Fractions
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Approach:  One to one
ACCESS
Level: Year 4 and year 8
Focus: Calculating fractions using equipment  
Resources:
4 chocolate bars (divided into , , , whole), 5 fraction problem cards, photo
255kb
Questions/instructions:

Arrange the four chocolate bars on the desk as shown in the photo.
Here are four chocolate bars. Use the chocolate bars to help answer some fraction problems. Here is the first problem.
[Cards identical to fractions in brackets.]

 
% responses
2009 ('05)
Hand student card 1 and read it (1/2 + 1/2 = ).
y4
y8
1. What is the answer? Use the chocolate bars to explain your answer. 1 62 (63) 92 (93)
    Explanation:
   
clear and appropriate explanation
55 (48) 81 (84)
on right track but not clear/complete 7 (14) 8 (6)
Hand student card 2 and read it ( 1/2 + 1/4 = ).    
2. What is the answer? Use the chocolate bars to explain your answer. 3/4 22 (29) 57 (61)
    Explanation:    
clear and appropriate explanation 17 (17) 47 (46)
on right track but not clear/complete 8 (10) 12 (15)
Hand student card 3 and read it (1 – 1/3 = ).    
3. What is the answer? Use the chocolate bars to explain your answer. 2/3 18 (22) 61 (59)
    Explanation:    
clear and appropriate explanation 17 (14) 48 (45)
on right track but not clear/complete 4 (10) 12 (12)
YEAR 8 ONLY:      
Hand student card 4 and read it (1 1/4 – 1/2 = ).    
4. What is the answer? Use the chocolate bars to explain your answer. 3/4 0 0 55 (56)
    Explanation:    
clear and appropriate explanation
  44 (42)
on right track but not clear/complete
  10 (11)
Hand student card 5 and read it (2 ÷ 1/2 = ).    
5. What is the answer? You might want to use the chocolate bars to explain your answer. 4 0 0 25 (26)
    Explanation:      
clear and appropriate explanation   17 (15)
on right track but not clear/complete   7 (6)
 
Y4 Total Score: 3
12 (18)  
2
15 (12)  
1
37 (37)  
0 36 (33)  
Y8 Total Score: 5
 
17 (18)
4
  30 (26)
3
  13 (17)
2
  13 (18)
0–1   27 (21)
Subgroup Analysis [Click on charts to enlarge] :
Year 4


Year 8


Commentary:
There was no meaningful change in performance from 2005 to 2009, at either year level. About two thirds of year 4 Pasifika students had no success with this task.