Here is an English usage worksheet on the adjectives systematic and systemic and how to differentiate their. By any measure I recognize, these are a couple of important words for educated citizens to know, understand, and deploy properly. Systemic is an especially important word and concept for teaching and learning in the sciences.
If you find typos in this document, I would appreciate a notification. And, as always, if you find this material useful in your practice, I would be grateful to hear what you think of it. I seek your peer review.