Montessori Bead Chains: Free Interactive Short and Long Chains

What bead chains teach

The bead chains are a Montessori material for counting a long way and for skip counting. Each chain is a row of colored bead bars linked together. Counting along the chain bead by bead, a child reaches the end of each bar at a multiple: 5, 10, 15, 20, 25 on the 5 chain. Laying a small numbered ticket at each bar end turns the chain into a skip-counting list, and later into the multiplication table.

The chains also carry a bigger idea. The short chain of 5 is 5 bars of 5, and when it's folded into a square, it matches the bead square of 5, which is 25. The long chain of 5 has 25 bars, and it folds into 5 squares that stack into the cube of 5: 125. Children meet squaring and cubing as shapes years before they see the notation.

The bead colors

Every chain uses the color of its number from the bead stair, so a child learns to recognize a quantity by color:

Sources name a few of these differently, calling 3 pink or peach and 6 lavender, violet or purple, but the scheme itself is standard across Montessori suppliers and albums. The 10 chains are gold, the same gold as the golden bead material, which connects the hundred chain to the hundred square.

How to use the virtual bead chains

1. Choose a number and a length. Start with a short chain. The 10 chain is the hundred chain.
2. Count. Count along the chain from the first bead. When you reach the end of a bar, say the number.
3. Place the ticket. Drag the matching ticket from the tray to the end of that bar. Tickets snap to bar ends. The tray always offers the next few tickets.
4. Check. The readout counts tickets that are right. A ticket on the wrong bar turns red, and a note says where that bar really ends.
5. Fold. Press Fold into a square to see the short chain become the square, with the last ticket showing the square number. Long chains fold into squares; the caption gives the cube.

With a keyboard, tap a ticket in the tray to put it on the next empty bar, then use the arrow keys to move it bar by bar.

Bead chain lessons

• Short chains, one at a time. Start with the chains of 2 to 5. Count, place tickets, read the tickets back from the start, and fold.
• Read backward. Once the tickets are down, read them from the end: 25, 20, 15, 10, 5. It's skip counting backward, and it prepares subtraction and division.
• The square. Ask how many beads are in the square before folding. Then fold and check.
• The hundred chain. Count all 100 with the gold chain. Children are often surprised that ten tens is exactly the hundred square.
• Long chains. The long chains are long. Place tickets at every bar end, and mark the squares along the way: on the long 4 chain, 16, 32 and 48 are each a complete square of 4.
• The thousand chain. The long 10 chain has 100 bars. In a classroom it stretches across the floor; here it wraps across the board. Counting to 1,000 by tens is a big job, and a proud one.

Tips for families and guides

• Count every bead at first. The point of the chain is that the child reaches each multiple by counting. Skip counting comes from that experience, not before it.
• Go slowly with long chains. A long chain is a multi-day project for many children. Progress on task cards is saved on your device, and Share makes a link to the board so you can come back to it.
• Pair with paper. After a chain, have the child write the tickets as a list. That list is a row of the multiplication table.
• Use the right colors. If you also have physical bead material, keep the same colors so the virtual and real chains match.

Common mistakes and what to do

Making bead chains at home

Bead bars can be made from craft beads in the bead stair colors threaded on wire or pipe cleaners, then linked with small rings. A short chain needs n bars of n beads and a long chain n × n bars. The long chains take many beads (729 for the 9 chain), so many families make the short chains first and use interactive long chains for counting practice. Tickets can be small paper arrows with the multiples written on them, color coded to match.

Where bead chains fit

In the primary classroom, bead chains usually come after the bead stair and the teen and ten boards, and around the time of the hundred board. They lead into the multiplication bead board and memorization of the tables in lower elementary. They work beside the golden beads, which build place value, and they link to skip counting on an interactive number line. See all the Montessori math materials, or print skip counting worksheets to practice on paper.