Exploring and noticing

  • 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
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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.

  • Translating Lines
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    Translating lines

    Age
    11 to 14
    Challenge level
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    Investigate what happens to the equation of different lines when you translate them. Try to predict what will happen. Explain your findings.

  • Keep it simple
    problem
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    Keep it simple

    Age
    11 to 14
    Challenge level
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    Can all unit fractions be written as the sum of two unit fractions?

  • Sticky Numbers
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    Sticky numbers

    Age
    11 to 14
    Challenge level
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    Can you arrange the numbers 1 to 17 in a row so that each adjacent pair adds up to a square number?

  • How much can we spend?
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    How much can we spend?

    Age
    11 to 14
    Challenge level
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    A country has decided to have just two different coins. Which totals can be made? Is there a largest total that cannot be made? How do you know?