Having a good understanding of word families will help your comprehension and production skills – you should be able to make better guesses about what new words mean, and have a broader vocabulary base to choose from when you write or speak.
Here’s a useful table to give you an idea of the basics. It comes from write-site.athabascau.ca – where you can also find a table of what some common prefixes and suffixes mean:
British Council has a useful tool – put one word in the search box, choose your level, click Search, and you’ll get the word family for that word.
This is what you get for ‘work’ and A1 level:
work n U activity when employed
work v IT carry out one’s job
worker n C employee
working adj having employment