The part of the curriculum designed to meet the needs of all students is:

Concept

In curriculum theory, "general education" is the common core of learning experiences (literacy, numeracy, civic and social competencies) that every student in a school system is required to study, regardless of individual talent, interest, or career track. It exists specifically to meet the needs shared by ALL students, as opposed to curriculum components aimed at a subgroup or at non-academic activity.

Application

The stem asks for the curriculum part designed to meet the needs of all students. By the definition above, that is exactly what general education is built to do, so "General education" is the answer.

Cross-check: contrast with the other options

• Specialized education targets the specific abilities, interests, or career track of a defined subgroup of students (e.g., a vocational or gifted-track curriculum) — it serves a subset, not everyone.

• The extra-curriculum covers voluntary activities outside the required academic subjects (clubs, sports, cultural societies) — it is not the required instructional component every student completes.

• The program of studies is an institution's overall listing/sequencing of the courses it offers — an organizational document, not itself the curriculum segment aimed at universal student needs.

None of the three alternatives is defined as serving all students, which confirms general education as the correct answer.