Multiples Grid
multiples of 2 and 7
multiples of 8 and 11
multiples of 6 and 9 or 3
multiples of 4 and 9, 8 and 9, 16 and 9... (depending on how high
you go)
This problem is an interesting way to reinforce understanding of
factors and multiples. You might like to use this spreadsheet with
the class, which shades the squares according to the chosen
factors. One way of introducing the problem might be to invite
students to investigate the spreadsheet in pairs so that they get a
good feel for what it is doing. As they work on the problem, trying
to find out which factors have been chosen in order to produce the
shading, encourage them to justify their solutions to their
partners, and perhaps then to the whole class. How are they going
about the task? It might be useful to discuss ways of working
systematically so that no solutions are omitted. The spreadsheet
can be used to check their hypotheses.