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Cubes Within Cubes Revisited

Age 11 to 14
Challenge Level Yellow starYellow starYellow star
  • Problem
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This problem demonstrates how a formula can be derived from the context (rather than "pattern-spotting") in a variety of ways.
It also provides practice in the manipulation of algebraic symbols and generates generalities that can promote discussions on equivalent symbolic forms.

A teacher comments:
This was a good opportunity to practise simple and more difficult sequences and generation of formulae, ranging from linear to cubic. All pupils were able to access the problem up to (and beyond) their own "natural" ability (Year 9 set 2).

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The NRICH Project aims to enrich the mathematical experiences of all learners. To support this aim, members of the NRICH team work in a wide range of capacities, including providing professional development for teachers wishing to embed rich mathematical tasks into everyday classroom practice.

NRICH is part of the family of activities in the Millennium Mathematics Project.

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