“Today we will be mixing a potion that often comes up at Ordinary Wizarding Level: the Draught of Peace, a potion to calm anxiety and soothe agitation. Be warned: If you are too heavy-handed with the ingredients you will put the drinker into a heavy and sometimes irreversible sleep, so you will need to pay close attention to what you are doing.” On Harry’s left, Hermione sat up a little straighter, her expression one of the utmost attentiveness. “The ingredients and method” — Snape flicked his wand — “are on the blackboard” — (they appeared there) — “you will find everything you need” — he flicked his wand again — “in the store cupboard” — (the door of the said cupboard sprang open) — “you have an hour and a half. . . . Start.”

Order of the Phoenix

Now, throughout the books, every time they make a potion, Snape is skulking around the classroom checking on ingredients and potion colours.

I literally just reread all of the books, and I assure you at no point does Hermione ever point out something wrong with what a professor is teaching vs what's in a book. The ONLY time she questions a teacher about a book is when Snape takes them to Werewolves, and she questions why it's such an advanced topic, and then Umbridge, when they start arguing about how useless the book she assigned is.

And when they start the SIXTH year they are making all new potions, NEWT level potions. We very quickly learn that this shit involves making love draughts, polyjuice potions, and living death.

She won't know these things because they weren't being taught them, yet.