Equivalence class

So imagine that you have a bunch of toys and you want to organize them. One way to do that is to put all the ones that are the same color together.

Now, let's say you have a bunch of different colored blocks. You may want to organize them differently based on how they are similar. For example, you may want to put all the blocks that are the same size together, even if they are different colors.

This is kind of like what an equivalence class is. It's a way of organizing things based on how they are similar, regardless of other differences they may have.

For instance, let's say we have a group of students in a class. We can create equivalence classes of students based on certain criteria. For example, we could create an equivalence class of students who are all the same age, or an equivalence class of students who all have the same grade point average, or an equivalence class of students who all wear glasses.

The important thing to remember is that an equivalence class is a group of things that are considered the same, based on a specific characteristic or set of characteristics, regardless of any other differences they may have.