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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.

Subject: MathematicsBook in French11-12 yearsA4 + US Letter PDF · 3-file teacher pack
Cover of Le Carreau impossible

THIS MYSTERY

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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.

Preview pages from Le Carreau impossibleSee 8 sample pages

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.

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.

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