:What's My Number
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Approach: One to one  Level: Year 4 and year 8
Focus:   Verifying and proving
Resources: 3 cards
172KB
Questions / instructions:

I am going to show you some cards with numbers that are missing.

   
% responses
2005 ('01)
Y4
Y8
Hand student card 1.
Card 1
6 = 4 + _
 
One child thinks that the missing number is 10.
1. Do you think that child is correct?
no
60
90
2. Why do you say that?
10 + 4 = 14
17
35
 
4 + 2 = 6
26
45
any other valid reason
10
10
Hand student card 2.
Card 2
6 + 2 = _ + 5
3. What is the missing number?
3
11
54
4. Why do you say that?
6 + 2 = 8 and 3 + 5 = 8
9
48
 
any other valid response
2
8
YEAR 8 ONLY:
Hand student card 3.
Card 3
3 + _ = _ + 6
   
5. What do you think the missing numbers could be?
valid pair of numbers such as (3, 0) or (4, 1)
59
6. Could you have any other numbers?
yes
69
7. Why do you say that?
clear generalisation showing that the second number
must always be 3 less than the first missing number
7
 
explanation based on specific examples
24
some explanation given but not clear
25
any other response
44
Total score:
8
7
 
6–7
39
4–5
9
17
2–3
44
30
[Note: Maximum score of 4 for year 4]
0–1
47
8
Commentary:
Students at year 8 level were quite proficient with the simpler questions and over half could handle the more complex ones. The task was more difficult for the year 4 students.
 
Chapter Graphic
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