Ask HN: How do you work at home with at-home children?

As a side-effect of the current coronavirus precautions, I was recently faced with a one week stretch of working from home while taking care alone of a young child who found themself unexpectedly on holiday/homeschooled.

This is a situation in which no grandparent or nanny could intervene and getting out of the house is severely limited by the current situationn. Needless to say, my productivity was suboptimal and the week was quite stressful for both parent (trying to work) and child (parent is here, but won't play).

Does anyone have experience that could help? I'd very much like to avoid putting my kid in front of the TV or a game console for one entire week.