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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

Use angles to show that shapes will or will not tessellate

 Tessallations progression
About the Exemplars
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What the work shows The learning context Where to next Curriculum links
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

Richard's work shows that he is able to:

  • give coherent reasons why a hexagon will tessellate
  • use angles to explain tessellation: "The inside angle of a hexagon is 120 degrees and so three of them will make 360 degrees."

Images of student problem solving process

Iosefa's work shows that he is able to:

  • give coherent reasons why a rectangle will tessellate;
  • use angles to explain tessellation.

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