That conforms with my understanding.
Aight. Lego, does this make sense?
For instance, on the school pray. A public cannot have any form of praying initiated by the facility or the school. The school and facility can't encourage or (in most circumstances) discourage religious activity. The school can't in anyway host it.
The school can make reasonable accommodation, such as exclusion from sex ed, or in some states science. However if the accommodation is deemed unreasonable then the school can mandate that it not be done during school hours.
This leads odd things such as 'religious club' can't technically be hosted on school grounds, or if a religious activity requires pray, it has to be done technically off campus grounds. For the latter, the school say it reasonable.
So if a kid wanted to pray before a test, they can, but the school can't go 'okay pray time'.
Private school can however be as religious as they want. And are. Now there are some odd things, such as these school can't disallow you for any of the previously stated reason. So a Buddhist can't be denied entry to a Catholic School. Most of the time, this isn't an issue. Its the oddities of discrimination laws.
So if a athletic group wanted to do a pray circle before an event, they can. However the teacher can't participate, it shouldn't be done on school grounds or properties, IE the bus.
The teacher would be required to curtail any discrimination from the student body if they did not want to be apart of the pray circle. (This was a civil suit, I can't remember where though.)