First, if you want your students memorize the most commonly used irregular verbs, follow this way:
1- Master the verb to BE.
2. Divide the verbs according to their resemblance:
A. (no difference) cut - cut - cut
let - let - let ...etc.
B. (slight difference) speak - spoke - spoken
break - broke - broken ...etc.
C. (complete difference) do - did - done ...etc
For your question, first, you've to introduce the tenses where the past participle can be used such as perfect tense, passive voice etc.
That, of course, depends on your students' age