: Rautaki Whakarea
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Approach: One to one  
Focus:   Multiplication strategies
Resources:  Ngä käri e 2
Kupu:
Questions/instructions: 
Whakatakotoria te käri tuatahi (9 x 7) ki mua i te äkonga.
 
% responses
Mënä ka wareware i ahau te otinga o te 9 x 7, me pëhea rä te whiriwhiri i te otinga?
Käore äku tätaitai, öku hoa ränei hei äwhina i ahau.
 
no appropriate response
25
add seven 9’s together
10
add nine 7’s together
10
multiply 10 by 7, get 70, subtract one 7, get 63
2
mulitply 9 by 10, get 90, take away 9 by 3, get 63
0
finger process (explained adequately), including materials
40
go through times table, get to nearest response, then add or subtract 7’s as required
10
chant times table, hope it jogs memory
0
student remembered it the other way around
3
Whakatakotoria te käri tuarua (19 x 7) ki mua i te äkonga.
Me pëhea taku whiriwhiri i te otinga o tënei whakareatanga mënä käore äku tätaitai?
 
no appropriate response
38
add 19 seven times
5
add 7 nineteen times
0
multiply 20 by 7, get 140, subtract one 7, get 133
7
note that 9 x 7 is 63 add 10 x 7 is 70, get 133
24
finger process (explained adequately), including materials
7
normal multiplication algorithm (clearly explained)
17

Commentary:
In question 1, 75 percent of students had a valid strategy for working out 9 x 7. Twenty percent reported an additive strategy and only two percent reported a part-whole strategy. A large number of students (40 percent) used a simple finger process that gives the answers to the nine times table. In comparison, 31 percent of students described a valid part-whole strategy for question 2.

 
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