Here is an example of a mini-story with phrasal verbs.
When Andy got home he felt totally demotivated to get going on his school project. But he had been putting it off all week and knew he had to get on with it. His classmates told him they had almost finished and he knew he had to catch up with them. He didn't want to be embarrassed by handing in only one page of work but, more than that, he didn't want to let himself down. What he had done didn't live up to his normal standards and he was worried he would have to do it again and risk falling behind with his other subjects.
This mini-story provides a context to learn different phrasal verbs. What's more, it doesn't sound unnatural as native speakers often use lots of phrasal verbs, especially when speaking. The context helps your students understand the meaning of the phrasal verbs. For example, let's look at the phrasal verb 'put off' and consider its meaning here. Andy had not done the project all week. But it was something he needed to do. So, he was leaving it for later, or postponing it.
put something off = postpone
Example: Don't put off the housework.
This phrasal verb is seperable. This means that the object can go between the verb and particle. So, we can also say:
Don't put the housework off. (There's no change in meaning.)
Once your student has studied some phrasal verbs in context you can give them some phrasal verbs to write their own story. This will obviously show you if they have understood the meanings and how to use them.
