Task administration:
This task is completed with pencil and paper only.
Keywords:
Description of task:
Students answer maths problems involving multiplication and show their strategies.
Learning Progression Frameworks
This resource can provide evidence of learning associated with within the Mathematics Learning Progressions Frameworks.
Read more about the Learning Progressions Frameworks.Answers/responses:
Y7 (03/2010) | ||
a) |
72 Any 1 of the following methods of solution for 9 × 8:
|
easy moderate* |
b) |
140 Any 1 of the following methods of solution for 7 × 20: Any of the above methods
|
easy easy |
c) |
70 Any 1 of the following methods of solution for 5 ×14: Any of the above methods
|
easy easy |
d) |
90 Any of the above methods for 6 × 15
|
easy easy |
Based on a representative sample of 209 students.
NOTE:
(*) Students are more likely to just state the result (i.e., 9 × 8 = 72) because they may know it as a basic fact. This means fewer students in part a) give acceptable strategies. If students just state the answer (or use the vertical algorithm), ask them how they got their answer (or how the algorithm works). If they laid out part a) as a vertical algorithm and gave the correct answer, we treated this as equivalent to just stating the answer.
Diagnostic and formative information:
Common error | Likely misconception | |
a) b) c) d) |
17 27 19 21 |
Adds instead of multiplying |
a) b) c) d) |
Close to 72 (70 – 74) Close to 140 (138 –142) Close to 70 (68 – 72) Close to 90 (88 - 92) |
Counts all the objects that they draw in a diagram |
a) b) |
64, 80 or 81 120 or 160 |
Skip counting or repeated addition error Counts one group of objects short or over |