Symmetry explained to children (and 5 ways to practise it)

Butterfly wings, a face, a leaf… Symmetry is everywhere around us. It's an abstract idea for adults, but children grasp it very well when it's made concrete.

How to explain it simply

A shape is symmetrical when its two halves are the same, but flipped, as in a mirror. The line between the two halves is called the line of symmetry. If you fold the paper along that line, the two halves match perfectly.

5 activities, from easiest to hardest

1. The paint butterfly (from age 3-4)

Fold a sheet in half, let your child drop a few blobs of paint on one side only, close it and press. Open it: a symmetrical butterfly! Children see symmetry being “made”.

2. A mirror on the page (ages 4-5)

Stand a small mirror in the middle of a half-finished drawing: the child sees the whole shape. It feels like magic, and shows that the other half is a reflection.

3. Fold and cut (ages 5-6)

Fold a sheet, draw half a shape against the fold (half a heart, half a tree) and cut it out. Unfold it, and the whole shape appears.

4. Dot symmetry (ages 5-7)

On a dot grid, the child joins dots to copy the model on the other side of the line. The dots give reassuring landmarks before moving on to squared grids.

5. Grid symmetry (ages 6-8)

Here the child colours squares to match the other side of the line. The tip to pass on: count squares from the line of symmetry, not from the edge of the grid.

The most common mistakes

• Copying instead of flipping: the child reproduces the shape as it is rather than its reflection. A mirror is the best way to fix this.
• Counting from the edge: the shape ends up shifted. Always come back to the line of symmetry.
• Going too fast: working square by square and checking each row prevents mistakes from snowballing.

Our symmetry sheets (mirror grids, dot symmetry, shapes to complete) are in the printables and the catalogue.