Functions and their inverses

  • Function Pyramids
    problem

    Function Pyramids

    Age
    16 to 18
    Challenge level

    A function pyramid is a structure where each entry in the pyramid is determined by the two entries below it. Can you figure out how the pyramid is generated?

  • Inverting Rational Functions
    problem

    Inverting Rational Functions

    Age
    16 to 18
    Challenge level

    Consider these questions concerning inverting rational functions

  • Maths Shop Window
    problem

    Maths Shop Window

    Age
    16 to 18
    Challenge level

    Make a functional window display which will both satisfy the manager and make sense to the shoppers

  • Modular Fractions
    problem

    Modular Fractions

    Age
    16 to 18
    Challenge level

    We only need 7 numbers for modulus (or clock) arithmetic mod 7 including working with fractions. Explore how to divide numbers and write fractions in modulus arithemtic.

  • Rational request
    problem

    Rational Request

    Age
    16 to 18
    Challenge level

    Can you make a curve to match my friend's requirements?

  • spaces for exploration
    article

    Spaces for Exploration

    Alf Coles writes about how he tries to create 'spaces for exploration' for the students in his classrooms.

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