:Tangram
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Approach: One to one  Level: Year 4 and year 8
Focus:   Fractions of a whole Tangram puzzle
Resources: A3 recording sheet, 2 instruction cards, 2 A4 answer sheets, highlighter pen
260KB
 

Questions / instructions:
Hand student the tangram.

Here is a puzzle called a tangram.
It is a square made up of 7 pieces.
As I point to different pieces, decide what fraction of the whole tangram that piece is.
You can take the pieces out and move them around if you want to.
Point to red piece.
   
% responses
2005 ('01)
Y4
Y8
1. What fraction of the whole tangram is this red piece?
1/4
38
77
2. How do you know that?
clear explanation
19
54
 
some explanation
15
20
 
vague or no explanation
65
26
Point to blue piece. 
3. What fraction of the whole tangram is this blue piece?
1/8
6
35
4. How do you know that?
clear explanation
2
23
 
some explanation
4
11
 
vague or no explanation
94
66
YEAR 8 ONLY: 
Point to green piece. 
5. What fraction of the whole tangram is this green piece?  
1/16
•
32
6. How do you know that?
clear explanation
•
21
some explanation
•
9
vague or no explanation
•
70
Total score:
9
•
16
 
7–8
•
9
5–6
3
11
3–4
19
25
1–2
16
17
[Note: Maximum score of 6 for year 4]
0
62
22
Commentary:
Students had difficulty in estimating fractions in this visual task. They were not strong at explaining their approach. Substantial growth was seen, however, from year 4 to year 8.
 
Chapter Graphic
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