Resources used in classrooms should help learners acquire and apply ______ in ways that are meaningful to their own lives.

The sentence should be completed with a term that represents what learners acquire and apply. In an educational context, learners acquire and apply knowledge or skills. Given the phrasing, "knowledge" is a suitable fit.

The completed sentence is:
Resources used in classrooms should help learners acquire and apply knowledge in ways that are meaningful to their own lives.