Conjecturing and generalising

  • Method in multiplying madness?
    problem
    Favourite

    Method in Multiplying Madness?

    Age
    7 to 14
    Challenge level
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    Watch our videos of multiplication methods that you may not have met before. Can you make sense of them?

  • Got \It for Two
    game

    Got It for Two

    Age
    7 to 14
    Challenge level
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    Got It game for an adult and child. How can you play so that you know you will always win?

  • problem
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    Three Neighbours

    Age
    7 to 14
    Challenge level
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    Take three consecutive numbers and add them together. What do you notice?

  • Cubes within Cubes
    problem
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    Cubes Within Cubes

    Age
    7 to 14
    Challenge level
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    We start with one yellow cube and build around it to make a 3x3x3 cube with red cubes. Then we build around that red cube with blue cubes and so on. How many cubes of each colour have we used?

  • Steps to the Podium
    problem

    Steps to the Podium

    Age
    7 to 14
    Challenge level
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    It starts quite simple but great opportunities for number discoveries and patterns!
  • Nim-like Games
    game

    Nim-like Games

    Age
    7 to 16
    Challenge level
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    A collection of games on the NIM theme
  • Factors and Multiples Game
    game
    Favourite

    Factors and Multiples Game

    Age
    7 to 16
    Challenge level
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    A game in which players take it in turns to choose a number. Can you block your opponent?

  • Xavi's T-shirt
    problem
    Favourite

    Xavi's T-shirt

    Age
    7 to 16
    Challenge level
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    How much can you read into a T-shirt?

  • Pentanim
    game

    Pentanim

    Age
    7 to 16
    Challenge level
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    A game for 2 players with similarities to NIM. Place one counter on each spot on the games board. Players take it is turns to remove 1 or 2 adjacent counters. The winner picks up the last counter.
  • 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.