Year 11 Exploring and noticing

  • Negative 3 to the power of negative 3.
    problem
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    Negative Powers

    Age
    14 to 18
    Challenge level

    What does this number mean? Which order of 1, 2, 3 and 4 makes the highest value? Which makes the lowest?

  • Exploring cubic functions
    problem
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    Exploring Cubic Functions

    Age
    14 to 18
    Challenge level

    Quadratic graphs are very familiar, but what patterns can you explore with cubics?

  • Back fitter
    problem
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    Back Fitter

    Age
    14 to 18
    Challenge level

    10 graphs of experimental data are given. Can you use a spreadsheet to find algebraic graphs which match them closely, and thus discover the formulae most likely to govern the underlying processes?

  • Three by One
    problem
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    Three by One

    Age
    16 to 18
    Challenge level

    There are many different methods to solve this geometrical problem - how many can you find?

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