Academy · French-speaking Switzerland · 8P · Mathematics
Le Carreau impossible
Backstage at the Fort Theatre, four mosaic pieces seem to change their total area. Check the dimensions and uncover the secret of this illusion.

The story
A mystery to solve
Apolline joins a backstage workshop at the Fort Theatre. Diane, the set designer, rearranges four rigid mosaic pieces from a square into what appears to be a larger rectangle. No piece is added. Study the diagrams, compare the areas and investigate the joins so Apolline can explain the trick on stage.
See 8 sample pagesInside the pack
What children practise
- Calculate and compare areas and perimeters.
- Distinguish length, perimeter and area.
- Study how shapes can be split and rearranged.
- Justify a conclusion using dimensions and diagrams.
Learning scope
Curriculum and level
Selected Swiss PER cycle 2 mathematics practice for 8P, within the shared 7P–8P progression: area, perimeter and rearranging shapes. The diagrams and printed dimensions provide the evidence; not the complete annual curriculum.
Source guidelines
Formats and delivery
What does the digital PDF include?
32 pages in A4 + US Letter, with six missions and adult answers. Download the files through Gumroad and print them at home. This purchase does not include a physical book or shipping.
Three teacher documents included with the PDF
Alongside the illustrated book, this Academy PDF pack includes three separate classroom documents, all in French:
- The story and reading texts, without the activity questions.
- Illustrated questions and activities, with space for pupils to respond.
- A teacher guide with hints, worked answers and PER curriculum references.
The two pupil documents use Century Gothic 12 with generous spacing. These documents accompany the digital PDF purchase; they are not included with the printed book.
How is the printed book different?
The printed edition is a separate A5 colour paperback with 50 pages, ordered through Lulu. Its pagination differs from the PDF. Shipping charges and delivery estimates are confirmed by Lulu at checkout.
MystMind
Ready to begin?
Try the first mission for free, then get the complete printable adventure.



