Frustrated with 11 yo dd

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We are currently home edding dd whilst we wait for a school place we have a visit the week after half term from education welfare officer so maybe that's putting pressure on me.
It seems to be that dd cannot be bothered to do any work i ask her to. For example today on the way back from dropping the boys at school I said we could do some work on wwii she has her tablet for research and we would try to untangle how it all started. Do some planning for her story she has found out about nanowrimo and wants to take part and work on some 3&4 digit multiplication she was having troubles with last week and then rest of the day was her own. So first task when we got home was to see what she could find out online about the beginning of ww2 she went upstairs to do this that's fine but i called out half an hour later to get her to come down to find out she had had trouble loading a page and had been sat up there doing bog all.
So now she is upstairs sulking i am downstairs fuming yesterday was ok but the day before it was her arguing with me about a pen for ages resulting in not getting anything done. as she stropped off. On thursday it was she couldn't understand what to do on a khan academy exercise so i walked her through the hints and then said well watch the video . She did and then said she couldn't understand it.
I wouldn't find if it were true but it was something she had done before and we were just refreshing on it iyswim so the i don't get it was a fib.
I want to do tues weds thurs 9-12.30 ish for school work as i believe this will be enough but at the moment it's all arguments and stomping nothing is getting done. I don't know how to get her to understand it is her education at risk here I don't want her to fall behind.
Does anyone have any advice.

Many children need time off to recover from damage done to them at school, time to regain a love of learning if you like.

I can't imagine you'd fall behind at all, if you relax and enjoy the time you have together, doing things she enjoys and learn along the way.
It's fascinating how much she'll learn that way...and surely better than what is happening at the moment?

is a short vid, by Dr Alan Thomas about this type of informal learning.

You do know you don;t have to have a home visit at all don't you? Not even if you want a school place.
And that whether you choose to send in written information or to have a home visit, you should be allowed to settle?

hmm I don't know. Can't you watch some films set in WW2 - Carrie's War and so on, go on the BBC site and find out about rationing, evacuation etc, go to a library and pick up a couple of books, read `When Hitler Stole Pink Rabbit´. Watch a documentary together about how WW2 began? Maybe she'd enjoy it more if you were doing things together rather than her researching on the tablet or watching Khan Academy?

To get dd to do work I keep swapping tactics as things tend to work for a few weeks then the enthusiasm wanes.

So here are some ideas:

Write out a timetable together, let her know what has to be done then get her to fill it in and add things she wants to do.

Take her to the library to do some of the work. A change of scene works well.

Collect stars, so that she can save up for a treat.

At the moment I'm doing tokens for screen time. (ie: computer games or TV) She gets more for subjects she does not like doing.

I also find you have days that you think, "That went well", and days that seem a complete waste of time. Generally though, I never do as much as I plan.

I agree with the above: can you work with her and perhaps give her more focused tasks, or more cross curricular learning? I don't home ed but I have been reading Regeneration by Pat Barker with my L6, and as part of that, we have looked at the WWI propaganda poetry and posters, and they have researched associated topics arising from that and issues that come up in the novel (so have found out about the treatment of shell shock in WWI, for instance, and the changing roles of women). But if I had just told them to research WWI, they would have done very much the same as your DD!

And with my Yr 10s, I got them to research the Gothic genre with the aim of making a poster which clearly explains elements of the genre with a specified target audience.

So maybe, tasks with a narrower focus and a clearer outcome? And as the other posters say, more imaginative cross-curricular resources (some extracts from Anne Frank as a way into WWII? or Goodnight Mr. Tom?)

How did i forget Anne Frank slaps head After yesterdays post we took a break went out with her dad got mcdonalds am evil and had a good talk about it. We have now decided to scrap the story idea and she wants to do a comic instead I am happy for her to do this. I like the idea about the poster I think we can get her to look at posters from wwii and perhaps design her own. The maths is maths is maths and that will have to be done but we are going to break it up a bit more and scatter it throughout the day rather than sitting in one big block to do it.
We are off to raid the library saturday. Thankyou for your responses.