Exploring and noticing

  • Odds and Evens
    problem
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    Odds and Evens

    Age
    11 to 14
    Challenge level
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    Are these games fair? How can you tell?

  • How far does it move?
    problem
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    How Far Does It Move?

    Age
    11 to 14
    Challenge level
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    Experiment with the interactivity of "rolling" regular polygons, and explore how the different positions of the dot affects the distance it travels at each stage.

  • Substitution Cipher
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    Substitution Cipher

    Age
    11 to 14
    Challenge level
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    Find the frequency distribution for ordinary English, and use it to help you crack the code.

  • Mirror, mirror...
    problem
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    Mirror, Mirror...

    Age
    11 to 14
    Challenge level
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    Explore the effect of reflecting in two parallel mirror lines.

  • Parallel lines
    problem
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    Parallel Lines

    Age
    11 to 14
    Challenge level
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    How does the position of the line affect the equation of the line? What can you say about the equations of parallel lines?

  • problem
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    In the Bag

    Age
    11 to 14
    Challenge level
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    Can you guess the colours of the 10 marbles in the bag? Can you develop an effective strategy for reaching 1000 points in the least number of rounds?

  • Interactive Spinners
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    Interactive Spinners

    Age
    11 to 14
    Challenge level
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    This interactivity invites you to make conjectures and explore probabilities of outcomes related to two independent events.

  • Crossed Ends
    problem
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    Crossed Ends

    Age
    11 to 14
    Challenge level
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    Crosses can be drawn on number grids of various sizes. What do you notice when you add opposite ends?

  • Elevenses
    problem
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    Elevenses

    Age
    11 to 14
    Challenge level
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    How many pairs of numbers can you find that add up to a multiple of 11? Do you notice anything interesting about your results?

  • Reflecting Lines
    problem
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    Reflecting Lines

    Age
    11 to 14
    Challenge level
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    Investigate what happens to the equations of different lines when you reflect them in one of the axes. Try to predict what will happen. Explain your findings.