:9 x 7
Trend Task
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Approach: One to one  Level: Year 4 and year 8
Focus:   Multiplication strategies
Resources: 2 equation cards
104KB
Questions / instructions:

Place card 1 (9 x 7) in front of the student.
Suppose that I couldn’t remember that 9 x 7 is 63. Explain to me how I could figure it out if I didn’t have something like a calculator to help me.

   
% responses
2005 ('01)
Y4
Y8
no appropriate response
34 (33)
12 (14)
added seven 9s together
16 (15)
13 (20)
added nine 7s together
18 (24)
13 (21)
multiplied 10 by 7, got 70, subtracted one 7, got 63
8 (4)
14 (7)
mulitplied 9 by 10, got 90, took away 9 by 3, got 63
2 (1)
2 (1)
finger process (explained adequately)
7 (9)
25 (19)
went through times table, got to nearest response, then added or subtracted 7s as required
3 (4)
7 (7)
chanted times table, hoped it jogged memory
2 (2)
2 (2)
tried to remember it the other way around
4 (3)
3 (2)
any other valid response
6 (5)
10 (7)
Place card 2 (19 x 7) in front of the student.
Explain to me how you would figure out 19 x 7 if you didn’t have something like a calculator to help you.
no appropriate response
55 (53)
30 (30)
added 19 seven times
12 (18)
10 (16)
added 7 nineteen times
10 (16)
4 (8)
multiplied 20 by 7, got 140, subtracted one 7, got 133
5 (2)
15 (6)
noted that 9 x 7 is 63 added 10 x 7 is 70, got 133
14 (6)
24 (20)
finger process (explained adequately)
1 (0)
0 (0)
normal multiplication algorithm (clearly explained)
2 (3)
15 (18)
any other valid response
2 (3)
3 (2)
Total score:
6
6 (2)
11 (5)
 
5
0 (1)
3 (3)
4
11 (6)
25 (18)
3
8 (6)
18 (16)
2
22 (33)
18 (29)
1
24 (23)
20 (20)
0
29 (29)
6 (9)
Commentary:
Both year 4 and year 8 students in 2005 were more likely to employ effective approaches such as noticing patterns in numbers than the 2001 cohort.
 
Chapter Graphic
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