To feel this mum should take her turn?

Yes that would make sense except you’ve said several times that these trips to the park are not planned and you only find out about it once you’re already at the school gate so how could this work?

Just go later if the park isnt far from the school. She must think her daughter is responsible enough to go herself and is giving her a bit of independence. However if this used to be shared she could drop you a text to see if you mind - i would.

You’re not answering the question of how it would help if the mum supervised them, since you’d already arrived at the school

The housing situation is really bad luck, but it won't be long until your daughter can get the bus on her own and things will be easier for you.

The issue here is that you feel your daughter needs a certain level of supervision and the other mum doesn't. As the one who 'requires' the supervision then you should do it. The other mum isn't going to do supervision she doesn't see as needed.

My daughter is in year 6. She walks home and there is a park on the way home. She can go there to play on the way home if she likes and she lets me know.

if another child wants to go and their mum ends up going with both children that’s between them and nothing to do with me and my dd. The other mum doesn’t have to take turns because you’re not happy to let your dd go unsupervised and she is.

give school a permission slip and give dd a brick phone if you like so she can go by herself with friend and then you collect from the park later. It’s very much a you problem

But how did you arrange which parent would take them to the park in the past when you took it in turns? And how would it help if the other mum came to the park for her 'turn' when you have already arrived at the gate anyway?

Tell DD that she can only play in the park if she arranges it in advance, ie by phone before school at the latest. That's reasonable since arranging it on the day is inconvenient for you. And consider whether Dd could safely get the bus on her own.

But why would she because she is happy for her daughter to go to the park unsupervised. It isn’t her problem that you want your daughter supervised.

Although I can understand why this is frustrating for you, it really isn’t the other mother’s issue. Her child doesn’t need supervision at this time. If yours does then it’s on you to provide it. Or to come up with a solution that suits you. This will soon become less of an issue for several months as it will be dark and cold!
I do understand, my Dd has needed much more supervision over the last few years than her peers ( she’s a teenager) due to medical issues. But that’s our problem not her friends parents. If she goes out an about it’s our responsibility to be the ones that are around on case she needs us. It’s meant hours trailing round shopping centres on my own by that’s just the way it is!

This is nothing to do with friends mum.

She is happy and able for her daughter to choosento go to the park after school

Sadly, circumstances mean that you can't agree the same with your daughter on a whim, but thats not friends mum

You either need to tell daughter she can't go to the park unless prearranged, change permissions with school and get your daughter a phone or just continue as you are.

This doesn't make much sense .
You've said that the park days are last minute, not planned. So you are already at the school to collect your dd.
So even if friends mum did go to the park to supervise them both ( even though she's decided her dd doesn't need it) , how would this benefit you?
You've already made the bus journey. So what would you do, get the bus back home whilst dd is at the park and then get on the bus again to go and collect her? That would be six bus journeys and an enormous waste of time and money.

Why do you need to get a bus to collect her, when she can get the bus herself ?

This is a good idea. OP you cannot really blame the other girl's mum as she is allowed to be independent. You’re there supervising your child as she is not allowed to be independent yet.

Sorry no, I don’t see why the mum should? If you lived nearer too presumably the girls would just go to the park together unsupervised. It’s not her fault you live further away?

Can your daughter not get the bus home?

Hi Piper, you've accidentally replied to someone else's post instead of starting your own. People won't notice it here!

And in answer to your question, I don't think the mum has a turn to take, since she's happy for her daughter to be in the park and come home on her own anyway.

you are being unreasonable. the other mum isn’t in anyway asking you to look after her daughter. she would be walking home and potentially going to the park alone regardless of you or your daughters presence. it’s up to you if you want your daughter to go to the park. you can always say no.

Would it be any use to sign the permission for her to leave alone then arrange to meet your daughter each day at the park? The 2 girls could walk there together then either stay for a play or go home straight away, depending on your plans/weather etc. When mine got to the age where they could leave school independently, I gave the permission but just met them round the corner at first to gradually get used to it.