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Mathematics: Geometry
Level indicator: Level 1 - Fit shapes together to form a tessellation Level 2 - Identify common shapes that tessellate Level 3 - Use right angles to explain the tessellation of objects Level 4 - Know that tessellating shapes fit together around a point Level 5 - Use angles to show that shapes will or will not tessellate

Tessellations

Know that tessellating shapes fit together around a point

 Tessallations progression
About the Exemplars
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What the work shows

The task

The students are:

  • shown a selection of shapes, including squares, rectangles, diamonds, regular hexagons, regular octagons, circles, and equilateral, right-angled, and scalene triangles;
  • asked to identify which shapes will tessellate and say why.
Images of student problem solving process

Paora's work shows that he is able to:

  • recognise that shapes that tessellate must fit together around a point
  • list shapes that will tessellate: "The octagon won't work, but triangles, squares, rectangles, and hexagons will."

Images of student problem solving process

Elizabeth's work shows that she is able to:

  • recognise that shapes that tessellate must fit together around a point
  • explain how the tessellation could be extended outwards.

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