Ready?

1st Grade · The Handshake Problem

Six is old enough to be handed a problem that is too big for them — as long as they are handed the tool for shrinking it at the same time.

Full screen — no distractions

Where this goes

The ladder

The same idea, three times, roughly a year apart. This is what depth looks like from the outside.

  1. This year

    Five people, worked up from two.

  2. Next year

    Ten people — 45 — and the moment you stop drawing lines and start adding.

  3. The year after

    The formula n(n−1)/2, which you will meet again at fifteen and recognise on sight.

What lives on the desk this year

  • Plain paper, no lines on it
  • Coins to stand in for people
  • A ruler for the joining lines
  • A jar for the questions nobody could answer
  • A pencil with a rubber you are allowed to wear out

All twelve years

A tower that has to stay up while you count to ten, at three. A proof that no list can contain the real numbers, at fifteen. Same practice, twelve sizes.

Last updated: September 2026

Your Cart (0)

Your cart is empty

Browse our shop to find activities your kids will love