Day, Date, and Weather

I teach Communications Skills in an Okinawan middle school. I always begin each class with writing the day, date, and weather on the blackboard with the students spelling these out (I teach 22 different classrooms per week).

For the first time in 18 years, I was asked by a student, "Why do you begin with the weekday, then month, then date (like October 22nd), finally weather?"

Japanese dates are usually like this:

2020 October 22 (or, 2020.10.22), Thursday, cloudy.

Actually, it makes sense that the year would be first, then month, then date, then name of weekday, followed by weather which is changeable by the hour.

All I could figure to say was "Well, I'm teaching you Western English speech and communications idiom, and this is how it's usually done in the USA and I think the UK."

So -- is there actually some rule that decides the order "day/date/weather"?