Hey there and welcome to the forums!
The specifics for the Spartan army isn't really necessary to have long notes for (ie; size of spear, material of helmet, hoplon/hoplite) HOWEVER it wouldn't hurt to have a sentence about each specific in your notes. You'll never know if this pops up in your exam/assessments and it's better to be safe than sorry. Though reflecting back on what I just said, the specifics are kind of assumed knowledge as well. You should know what a hoplite is.
However I believe you should have notes on the following points:
- Structure of phalanx (or just a general idea)
-
Lochos, pentecostyles, enomotai = essentially the structure of the Spartan army-
Thucydides' thoughts about the army- Why Spartan army was superior to other Greek armies
- Laconian countermarch (?)
- Anastrophe (?)
If you're able to draw information from outside the syllabus, the markers will see that you're putting effort and actually exploring more information beyond this already content heavy subject. Main reason why I bolded the structure of the Spartan army and Thucydides is because there's probably a good chance of it appearing in the exam. The structure of the army can be a 3/5 marker whilst Thucydides could be the given source for the 15 marker. I added a (?) next to laconian countermarch and anastrophe is because I personally didn't learn that in class. Though the information might be useful. Keen to hear Katie and Susie's thoughts

At the end of the day, it really wouldn't hurt to add more information and reading more stuff even though it's not on the syllabus. Ancient History is essentially a subject that solely relies on details and evidence/sources (A LOT OF SOURCES). If you can show the markers you know information beyond the syllabus, your efforts will be rewarded at the end. Coming from my personal experience, my teacher kept giving us the specifics on Spartan marriage customs. I really didn't think it was relevant but ended up adding them into my notes anyways just in case. Thanks goodness I did do that because Spartan marriage customs was the 5 marker in my HSC exam (2017).
Hope this helps
