Make note of the additional resources (book, book chapter, journal article) you identify in the bibliographies, references, notes, and footnotes of the sources you are using. This is one way to further your research.
Example:
Let's say you found this article:
Gregory S. Munro, The Public Trust Doctrine and the Montana Constitution as Legal Bases for Climate Change Litigation in Montana, 73 Mont. L. Rev. 123 (2012)
This article includes an interesting book and another article in its citations. You can then go and look up these sources to read them yourself, and possibly cite them in your assignment!
Finding the References
If the article is really great for your research you can also look and see if the article has been cited by anyone else since it was published.
This is the original article:
Gregory S. Munro, The Public Trust Doctrine and the Montana Constitution as Legal Bases for Climate Change Litigation in Montana, 73 Mont. L. Rev. 123 (2012)
There are several ways to see who has cited the article, (HeinOnline provides some citing information) but one of the best and easiest ways is to use Google Scholar