Love For MathCreative Math Education

DIY Challenge 4: Prove it either way

Is it possible to make the blue win in this case? If not, can you prove why?

What students worked out5

  • Student 2

    no

    • Karanteacher

      Why is it not possible?

      • Student 3

        there are 9 blue votes
        hence blue can win only if there are 5 groups with vote share
        0-5,0-5,3-2,3-2,3-2
        here 5 continuous red squares are not there
        hence not possible

  • Student 3

    there are 9 blue votes
    hence blue can win only if there are 5 groups with vote share
    0-5,0-5,3-2,3-2,3-2
    here 5 continuous red squares are not there
    hence not possible

  • Student 1

    It’s not possible because the corner square when used for blue to win another blue corner square gets isolated and cant connect with two more blues