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Adding Odd Numbers (part 2)

Age 16 to 18
Challenge Level Yellow star
  • Problem
  • Teachers' Resources

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 approach

These printable cards for sorting may be useful: 
Adding Odd Numbers Induction Proof Sort

 

Possible support


Encourage students to work in pairs on the proof sorting exercise.
 
Before embarking on this problem, students could take a look at Adding Odd Numbers.

     

    Possible extension

     
    Students could be encouraged to work on the rest of the problems in the Proof for All (st)ages feature.
     
    They could also read the article Proof by Induction.

     

     
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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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