warp and weft multiplication and equations

the 'warp and weft' idea presents opportunities to use paterns to establish a solution method

extend a pattern in two directions, vertically and horizontally
these are some efforts to further use such an array
(there is another post with quadratic expansions)

these tasks use an idea from John Mason with Alan Graham and Sue Johnston-Wilder in their book 'developing thinking in algebra' published by the Open University in 2005
['going with and across the grain', developed further by Anne Watson and John Mason]

it is intended to be a pattern extending exercise, with equation solving

with multiplication sums, continuing the patterns might focus attention on how to adjust one sum to obtain results for a related sum

students are asked to complete the array i.e. to replace the gaps in the boxes: