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Before you print

Encoding a number into beads, and why it becomes mental arithmetic

The reverse skill: twelve empty soroban diagrams with a target number printed above each one. Children colour the beads that would move toward the bar. This is the sheet that builds the mental picture which later becomes anzan, calculation on an abacus that exists only in the head.

The skill this sheet trains

Recognising a number someone else has set is comprehension. Producing one yourself is composition, and it is a harder job. Given 7, a child has to decide, without trial and error, that the five bead comes down and two of the one beads come up. Given 80, they have to place nothing at all on the units rod and hold that emptiness deliberately rather than treating the rod as unfinished. That decision is the seed of mental abacus work. Children who can picture a number as a bead arrangement before their hand moves are the ones who, three or four years later, can hold the arrangement without any hand at all.

Using the sheet

A pencil is enough; a coloured pencil is better, because a filled bead reads at a glance from across the table. Colour only the beads that travel to the bar and leave the rest outlined. Expect fifteen minutes or so, longer than the reading sheet, because each item asks for a decision rather than a report. Finished means every target number has a bead pattern that a second person could read back correctly. Checking is easy: read your own colouring aloud as if it were somebody else's abacus, and see whether the number you say matches the number printed above it.

What to watch for

The signature error here is filling in too many beads, usually colouring five lower beads instead of bringing the upper bead down. It tells you the child is still counting in ones and has not yet accepted that the heaven bead is worth five in a single move. The other tell is a blank rod left uncoloured on a number like 80 or 90, then quietly filled with something later, which means zero is not yet felt as a real value. Both are worth catching now, because both get far more expensive once carrying begins.

Where it sits in the course

Like the reading sheet, this sits in the preparatory work that comes before Level 1 of the graded course, where the first additions and subtractions are introduced. Read what each of the ten levels covers.

Colouring a bead pattern is easier to check on screen than on paper, so if a child is unsure whether they have set a number correctly, try it on the free virtual abacus and read the answer straight back off the rods.

What to print next

When both directions are fluent, arithmetic can start. The next sheet moves beads rather than describing them: Abacus Level 1 Worksheets.

Show the Number

Colour in the beads to show each number

Beginner · Ages 5 to 8

Name: ______________________

Date: ______________________

Colour the beads that move toward the bar to show each number.

  1. 1.4
  2. 2.8
  3. 3.1
  4. 4.6
  5. 5.23
  6. 6.57
  7. 7.80
  8. 8.35
  9. 9.69
  10. 10.92
  11. 11.17
  12. 12.41

Answers: compare against the bead patterns on the Reading the Beads sheet

Free abacus worksheets: cliffpointabacus.com/abacus-worksheetsPractice online: cliffpointabacus.com/virtual-abacus
Want these skills taught live? Apply for a demo class or try the virtual abacus.