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Rows and columns · times tables

Building with rows and columns

Once children meet times tables, numbers take on a new shape. Seeing a number as a rectangle, something you can build from rows and columns, is what turns multiplication from a list to recite into something a child can reason with.

The habit here is representation: seeing a times-table fact not just as something to remember, but as a shape you can build. A child who can picture 6 × 4 as a rectangle has something to think with when memory alone runs out.

What this building block is

Times tables are often learned through patterns in the digits: fives ending in 0 or 5, the neat trick for the nines. Those are useful and worth having, but they belong to the facts themselves. The patterns in the shapes, rows and columns, reach further, because they show what multiplication really is, and they turn up in every problem built on it.

They are also the thinking behind the methods children later use for bigger multiplication and division, like the grid method. Both are really just rows and columns, an array too large to count square by square, so a child who has built arrays by hand meets those methods as something they already understand.

So we treat building the shape as a habit, not a one-off. Being good at multiplication isn't only knowing the answers; it's being able to picture them, rearrange them, and reach for the rectangle when the numbers get tricky. That habit is what keeps paying off long after the tables are learned.

Try it: build the number

Set the columns and rows to build a rectangle. Watch it turn as you focus each box. Then tap Cells to break it into single squares and count them, and see if you can match the target.

Columns 3
×
Rows 4
=
Cells 12

Take the first step

Free games and activities for building with rows and columns, a few playful minutes at a time.