Snipfold for teachers
A 30-minute symmetry lesson built on the paper snowflake. Students predict what a cut will make, test it instantly on screen, then make the same design from real paper.
- Ages 5–14
- Free
- No accounts or sign-in
- No student data collected
- Works on any phone, tablet or laptop
What students learn
- Line symmetry. Every fold is a mirror line. A paper with 8 layers has 4 fold lines through the centre, and the pattern is mirrored across each one.
- Rotational symmetry. The same 8-layer pattern looks identical after a quarter turn (90°), so it has rotational symmetry of order 4.
- Angles in a circle. 360° shared between the layers: 4 layers make 90° wedges, 8 make 45°, 12 make 30°.
- Multiplication. One snip near the edge appears once per layer: 1 snip × 8 layers = 8 holes.
- Spatial reasoning. Picturing how a folded shape will look when opened is a well-studied spatial skill, and the Match puzzles practise it in reverse.
Lesson plan (30 minutes)
- Hook (3 min). Show one unfold on the board. Ask: “How many holes will one snip make?”
- Predict, then test (10 min). In pairs, students choose 4, 8 or 12 points, sketch their prediction of one snip, then press Unfold to check. Repeat with two snips, one touching a fold.
- Name the symmetry (5 min). Count the mirror lines and find the smallest turn that leaves the pattern unchanged. Record both in a table.
- Match puzzle (7 min). Open Match. Students snip a folded sheet to recreate the target shape. Ask them to explain each cut before they make it.
- Make it real (5 min, or as homework). Press Picture → Print a cutting template, fold a paper circle, trace and cut. Compare the paper and the screen.
Adapting by age
| Age | Settings | Focus |
|---|---|---|
| 5–7 | 4 points, big pieces | Free play, counting holes, “what will it look like?” |
| 8–10 | 8 points | Mirror lines, multiplication, first Match puzzles |
| 11–14 | 8 and 12 points, small pieces | Rotational order, angles, explaining Match solutions |
Quick record table
| Layers | Wedge angle | Mirror lines | Rotational order | Holes from 1 snip |
|---|---|---|---|---|
| 4 | 90° | 2 | 2 | 4 |
| 8 | 45° | 4 | 4 | 8 |
| 12 | 30° | 6 | 6 | 12 |
A snip that touches a fold joins its mirror image across that fold, so students will see fewer, larger holes. That is a good discussion point.
Privacy and access
Snipfold needs no account and collects no personal information. Progress is kept only in the browser on the device. The site counts anonymous events (such as “a paper was unfolded”) with no cookies and no identifiers. Students do not need to share anything; the Send button is optional. See the privacy notice.
Keyboard play: arrow keys move, Space snips, U unfolds, Z undoes. Motion can be turned off at the bottom of the game.