Teaching Resource

Operations with Fractions Maths Investigation – Renovate with a Rug!

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PDF|Suitable for Grades: 5 - 6 | Starter Sheet

A mathematics investigation about fractions, embedded in a real-world context.

This open-ended mathematics investigation has been designed to deepen students’ understanding of fractions.

In this investigation, students must use their knowledge and understanding of fractions to design a colourful floor rug for a home renovation competition. The floor rug design must adhere to a list of competition rules. Students must record and analyse their colour choices on the worksheet provided.

This teaching resource includes:

  • teacher notes, detailing a range of important information about the investigation
  • a detailed description of the investigation for students, including step-by-step instructions
  • two blank floor rug templates
  • two ‘recording and analysing’ worksheets
  • reflection questions.

This resource is linked to the following lessons:

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  • Monique Louise

    Firstly, thank you for this fantastic resource!!
    I would just like to suggest an improvement as I have noticed that the rug has 25 squares. As such, this makes it difficult for children to simplify their fractions as the factors of 25 are only 1, 5 & 25. Whereas, if there were 24 or 30 squares children could simplify more of their fractions due to their being more factors of 24 and 30?

    I hope this makes sense…

    Kind regards,

    Miss M

    Comment by Monique Louise on August 12, 2017 at 9:54 pm

    • Stephanie (Teach Starter) Stephanie (Teach Starter)

      Hi Monique,

      Thank you for the very sensible suggestion! We have taken your feedback on board and changed the rug template so that it is a 6 x 4 rectangle (24 squares). The more simplifying for the students to do, the better!

      Kind regards,


      Official comment by Stephanie (Teach Starter) on August 14, 2017 at 10:04 am

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Resource Updates

  • Rug template changed from 5 x 5 to 6 x 4.

    Change by Stephanie (Teach Starter) 13th Aug, 2017

  • Uneven boxes in rug template fixed.

    Fix by Stephanie (Teach Starter) 12th Jun, 2017

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