1. 1

    Choose a number the child knows from the short chains, such as 4. Lay the long 4 chain straight and place the 4 cube at its end.

  2. 2

    Fold the chain into four squares, laid one on top of the next, to show what it holds; then lay it straight again.

  3. 3

    Count the first bar bead by bead and place ticket 4. Continue counting beads and placing tickets 8, 12, 16.

  4. 4

    At 16, lay a 4 square beside the chain. Continue to 32, 48, and 64, laying a square beside the chain at each.

  5. 5

    Stack the four squares beside the cube: 'Four squares make the cube. The 4 chain has 64 beads.'

  6. 6

    Read the tickets back by fours from 4 to 64.

  7. 7

    Remove and mix the tickets; the child places them again by counting.

What catches the child’s eye

  • The chain folding into squares that stack into the cube
  • The dark blue 9 chain stretching far down the hallway
  • The last ticket landing on the last bead

Extensions, easiest to hardest

  1. Work through each long chain 1–9; the 10 chain is the thousand chain the child already knows.
  2. Place tickets by counting bars instead of beads.
  3. Record the multiples of a chain on a long paper strip.

Control of error

The last ticket must land on the last bead and equal the number of beads in the matching cube (64 for the 4 cube); the squares laid along the chain must stack to the height of the cube.

Ready to move on when the child…

  • Labels any long chain 1–9 without error
  • Counts aloud by the chain's number up to its cube, using the tickets
  • Explains that the chain folds into as many squares as its number

Guide note

Start with the 2, 3, 4, and 5 chains. The 9 chain has 729 beads and may take more than one work period; let the child leave it out and keep it off walkways.

Try “pink tower”, “tummy”, “diaper”, “grace and courtesy”, or “October”.