Classroom mode
Run it in class
If everyone mixes their hats and receives one at random, will anyone receive their own?
Show of hands — before you project anything
Explain a fixed point using the owner markers and one moving hat.
- A Way more than you'd guess
- B About what you'd guess
- C Way less than you'd guess
Count the votes out loud. Hold them to it — then watch.
Project it (fullscreen)
Discussion prompts
- Explain a fixed point using the owner markers and one moving hat.
- Use the group-size toy to distinguish a named child's chance from the whole-group question.
- At the gate, defend each of the three options before the class commits one prediction.
Where it shows up in real life
- A coat-check counter returning one distinct coat to every visitor
- A Secret Santa draw in which each participant receives one distinct name
- A row of labeled folders handed back one per student after being mixed
A prediction-first worksheet — no answer key.
zero prep · no login · any projector
Winding down at home? Family mode ·
Explore every question
If everyone mixes their hats and receives one at random, will anyone receive their own?
Predict — what do you think will happen, and why?
Talk about it
- Explain a fixed point using the owner markers and one moving hat.
- Use the group-size toy to distinguish a named child's chance from the whole-group question.
- At the gate, defend each of the three options before the class commits one prediction.