MA 3.08Long Bead Chains 1–9 (Cubing Chains)
The child lays out the long chain of a number, such as the 4 chain of 64 beads, labels each multiple with arrow tickets, and folds the chain into squares that stack into the matching cube.
Presentation
Search videos (opens YouTube in a new tab)- 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.
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Fold the chain into four squares, laid one on top of the next, to show what it holds; then lay it straight again.
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Count the first bar bead by bead and place ticket 4. Continue counting beads and placing tickets 8, 12, 16.
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At 16, lay a 4 square beside the chain. Continue to 32, 48, and 64, laying a square beside the chain at each.
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Stack the four squares beside the cube: 'Four squares make the cube. The 4 chain has 64 beads.'
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Read the tickets back by fours from 4 to 64.
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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
- Work through each long chain 1–9; the 10 chain is the thousand chain the child already knows.
- Place tickets by counting bars instead of beads.
- 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.