Seasons, Classes, and Students - Trouble Setting This Up

So I'm trying to build an app for my wife's dance studio. For the part I'm currently stuck at I have 3 models:

• Seasons (Fall 2018, Summer 2019, Fall 2019, etc)
• Classes (Ballet, Tap, Jazz, Hip Hop, etc) //I know I can't name a model Classes, but for the sake of this post lets leave it as Classes
• Students (Lisa Simpson, Meg Griffin, etc)

So what I want to do is assign a Class to a Season. So I think this would be a Many-to-Many (a Class can belong to many Seasons, and a Season can have many Classes).

Then I want to enroll a Student into a Class. I believe this would also be a Many-to-Many (a Student takes many Classes, and a Class can have many Students).

The issue is, I want to enroll a Student into a Class that belongs to a particular Season. For example: 'Lisa' is enrolled in 'Ballet' in 'Fall 2018'. But Lisa does not get enrolled in Ballet in the 'Summer 2019' Season.

So I'm not sure how to set this up. Am I on the right track with them all being Many-to-Many relationships? If so how would I...

• Show all Students in a Class that belongs to a particular Season.
• Assign a Student to a Class that belongs to a particular Season.

Should this be done another way? I've heard about putting extra columns on pivot tables. Would that be better? If so how might I set that up? I've also heard of a Has-Many-Through relationship. Both of these are unfamiliar to me. But should I look into them? I just need some guidance on how to approach this and then I can try and do the learning from there. Thanks!