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Centre for Research in Mathematics Education (CRME)
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The number system
This task is designed to assess how well students understand various aspects of the number system.
There are a series of short tasks on using a calculator, working with fractions, directed numbers, and extending a multiplication fact.
As an example:
12345679 x 27 = 333 333 333
and students must use this fact to enable them to calculate
12345679 x 36
without using a calculator.
This task is from the Mathematics Assessment Resource Service, a collaboration between UC Berkeley and the Shell Centre team at the University of Nottingham. A full rubric is given for the task. Further information on the collection is given here.
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