rearrangement add/take with times/share

with some confidence in dealing with addition/subtraction rearrangements and multiplication/division rearrangements separately, these operations can then be combined

hopefully students can relate 'undoing' steps to those involved in building the expression e.g.

'what happens to 3 in the first statement?' 

'doing':
you multiply it by 2
then add 4
so 'undoing' involves?
subtracting 4 first, then dividing by 2

as with other rearrangement resources, these start with rearranging simple number statements (so that rearrangements can be checked for correctness) before moving to an involvement of symbols

a sense of appropriate transformations of a statement is built from an understanding of what happens with numbers (algebra as generalised arithmetic)

a powerpoint is here

equivalent statements
look different but still say the same thing