I would like to set up a foundation of classes for an application, two of which are person and student. A person may or may not be a student and a student is always a person. The fact that a student “is a” person led me to try inheritance, but I can't see how to make it work in the case where I have a DAO that returns an instance of person and I then want to determine if that person is a student and call student related methods for it.

class Person {
    private $_firstName;

    public function isStudent() {
        // figure out if this person is a student
        return true; // (or false)
    }
}

class Student extends Person {
    private $_gpa;

    public function getGpa() {
        // do something to retrieve this student's gpa
        return 4.0; // (or whatever it is)
    }
}

class SomeDaoThatReturnsPersonInstances {
    public function find() {
        return new Person();
    }
}

$myPerson = SomeDaoThatReturnsPersonInstances::find();

if($myPerson->isStudent()) {
    echo 'My person\'s GPA is: ', $myPerson->getGpa();
}

This obviously doesn't work, but what is the best way to achieve this effect? Composition doesn't sond right in my mind because a person does not “have a” student. I'm not looking for a solution necessarily but maybe just a term or phrase to search for. Since I'm not really sure what to call what I'm trying to do, I haven't had much luck. Thank you!