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The Set of Numbers
Can you place the numbers from $1$ to $10$ in the grid (or matrix) below?
Now try putting the same numbers in this grid:
Why do this problem?
This problem is a good introduction to matrices. It provides experience in completing tables as well as offering plenty of number work.
Possible approach
Modelling how to fill in matrices like these might be a good place to start as pupils may not have encountered them before. You may find
these sheets useful.
Key questions
Is this number odd or even?
Which tables will you find this number in?
How about going through the numbers in order, starting with $1$?
Is $1$ a multiple of $2$? Is it greater than $5$?
Possible extension
Learners could try a slightly more difficult problem using multiples
Grouping Goodies or a much harder one with a table to complete,
Mystery Matrix.
Possible support
Suggest using numbered counters and
these sheets.