Explaining, convincing and proving

  • Next-door Numbers
    problem

    Next-door numbers

    Age
    5 to 7
    Challenge level
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    Florence, Ethan and Alma have each added together two 'next-door' numbers. What is the same about their answers?
  • Let's Investigate Triangles
    problem

    Let's investigate triangles

    Age
    5 to 7
    Challenge level
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    Vincent and Tara are making triangles with the class construction set. They have a pile of strips of different lengths. How many different triangles can they make?

  • A City of Towers
    problem

    A city of towers

    Age
    5 to 7
    Challenge level
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    In this town, houses are built with one room for each person. There are some families of seven people living in the town. In how many different ways can they build their houses?

  • Building with Solid Shapes
    problem

    Building with solid shapes

    Age
    5 to 7
    Challenge level
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    We have a box of cubes, triangular prisms, cones, cuboids, cylinders and tetrahedrons. Which of the buildings would fall down if we tried to make them?

  • Cuisenaire Counting
    problem

    Cuisenaire counting

    Age
    5 to 7
    Challenge level
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    Here are some rods that are different colours. How could I make a yellow rod using white and red rods?

  • Domino Sorting
    problem

    Domino sorting

    Age
    5 to 7
    Challenge level
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    Try grouping the dominoes in the ways described. Are there any left over each time? Can you explain why?

  • Sizing them Up
    problem

    Sizing them up

    Age
    5 to 7
    Challenge level
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    Can you put these shapes in order of size? Start with the smallest.

  • Matching Triangles
    problem

    Matching triangles

    Age
    5 to 7
    Challenge level
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    Can you sort these triangles into three different families and explain how you did it?

  • Two-digit targets
    problem

    Two-digit targets

    Age
    5 to 7
    Challenge level
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    You have a set of the digits from 0 to 9. Can you arrange these in the five boxes to make two-digit numbers as close to the targets as possible?

  • Times of Day
    problem

    Times of day

    Age
    5 to 7
    Challenge level
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    These pictures show some different activities that you may get up to during a day. What order would you do them in?