Science activities are included where appropriate to teach the methods of scientific inquiry through direct student involvement. (Principles of Science, Book I)
What is the subject of the where-clause in the above sentence?
Think of the sentence this way. Science activities are included where science activities are appropriate to teach the methods of scientific inquiry through direct student involvement. Science activities are included where they are appropriate to teach the methods of scientific inquiry through direct student involvement.
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Think of the sentence this way.
Science activities are included where science activities are appropriate to teach the methods of scientific inquiry through direct student involvement.
Science activities are included where they are appropriate to teach the methods of scientific inquiry through direct student involvement.
Science activities are included where appropriate [to teach the methods of scientific inquiry through direct student involvement].
The expression "where (they are) appropriate" is not part of the bracketed subordinate infinitival clause, but a verbless clause serving as an optional adjunct.
The clause is to teach the methods of