When teaching current events courses, I always begin with lessons about about recognizing bias, propaganda, and logical fallacies. There are two good resources that I like that can help students understand logical fallacies.
The Guide to Common Fallacies is a series of short videos from the PBS Idea Channel. Each video covers a different common fallacy. The fallacies are Strawman, Ad Hominem, Black and White, Authority, and No True Scotsman. I have embedded the playlist below.
Your Logical Fallacy Is is a website that provides short explanations and examples of twenty-four common logical fallacies. Visitors to the site can click through the gallery to read the examples. Your Logical Fallacy Is also provides free PDF poster files that you can download and print.