It depends on your students. With some students, making use of phonetic symbols may be very useful. If, however, in order to use the symbols, you must spend many days or weeks just teaching 1) the concept of phonetic symbols and then, 2) the symbols themselves, I don't think it would be worth your while.
In any case, learning the phonetic alphabet is a good idea for you as a teacher. Many resources you will want to use to further your own skills will use the International Phonetic Alphabet. The very first link on this forum will take you to a phonetic alphabet 'typewriter', and this site:
will take you to a very helpful interactive chart.
All best wishes,
- For Teachers