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Free Geometry and mathsArt and pattern

Paths That Connect

Build six separate 40 × 40 mm tiles: two straights and four curves. Rotate them on the table and find three different paths from start to finish. For home or workshop use.

Age
8+ years
Length
approx. 70 min
Level
Easy
Where you teach
Home
Purpose
Creative
Worksheet Guide (colour) Guide (ink-saving)

Slides for the session

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Show them on a projector or board. Arrow keys move between slides.

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How to run this session

Stages and timing
  1. Six frames: side by side
  2. Two straights: join the entries
  3. Four curves: turn upward
  4. Check the six tiles
  5. Only when an entry needs repair
  6. Correct the rotation and check route A
  7. Arrange and check route B
  8. Arrange and check route C

What gets built

Have fun rotating tiles and composing a continuous path.

What it practises
  • Guiding connected strands on a flat pattern.
  • Rotating tiles and checking path continuity.

Success criteria
  • Set: P1, P2, L1, L2, L3, L4 — six separate, cold 40 × 40 mm tiles. All frames are closed, and the paths make wide connections at the centers of their sides. No section is loose.
  • Arrange A, B, and C from cards K06–K08 in sequence. In each route, use all six IDs once. Trace the wide path with your finger from START to FINISH, following numbers 1–6. There is no gap or offset at any of the five joins, and there is no dead end within the route.
  • If a road joint does not align, rotate or move the cold tile. Do not weld the tiles together. Repair a small damaged entry according to K05. Wait until it has cooled completely and check again. For greater damage, remake the tile.
  • Using the same set, create your own route: all six tiles once, five aligned joints, START and END. Check it with your finger. After play, store the tiles flat; turn off the device according to its instructions.

What you need
Filament
PLA
Colours
colour shown in the illustration
Also
PLA-compatible 3D pen ×1, PLA 1.75 mm, selected colors: 1.8 m in total, including at least 50% spare., Suitable flexible transparent mat ×1, W01 and W02 printed on plain A4 paper at 100% scale., Ruler with millimeter graduations ×1

Files

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Version 2026-09-29 Updated 2026-09-29

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