For example, the FOIL method of multiplying binomials mentally is usually presented, as such, and rote memorized.
If instead, it is introduced in the context of finding the area of rectangles of side lengths (ax+b) and (cx+d), and then generalized to finding the area of any rectangle; this will undoubtedly provide a more meaningful experience than just memorizing patterns for writing squares of binomials as trinomials.