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Difference of Odd Squares

Age 14 to 18
Challenge Level Yellow starYellow star
  • Problem
  • Getting Started
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Why do this problem?

This problem, along with the rest of the problems in the Proof for All (st)ages feature, provides an excellent context for observing, conjecturing and thinking about proof, and for appreciating the power of algebra.

 

Possible support


Encourage students to work in pairs and make use of the hints available in the Getting Started section.
 

Possible extension

 
Students could be encouraged to work on the rest of the problems in the Proof for All (st)ages feature.

 

 

 

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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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