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Tessellations

Shapes which tessellate can completely cover a surface without overlapping.

Which shapes tessellate?

Drag the shapes from the top left to arrange them on the grey area so that the don't leave any gaps and don't overlap.

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Related

Tangram Template

Tangram Template

Use the pieces of the tangram puzzle to fit into the outlines provided.

The short web address is:

Transum.org/go/?to=tangrams

Suggested

Tetrominoes

Tetrominoes

Arrange the two sets of tetrominoes in the outline of a rectangle.

The short web address is:

Transum.org/go/?to=tetrominoespuzzles

Recommended

Pentominoes

Pentominoes

Arrange the twelve pentominoes in the outline of a rectangle.

The short web address is:

Transum.org/go/?to=pentominoes

Investigations Home

Do you have any starting points for mathematical investigations or comments about the investigations we have presented here? Click here to enter your ideas.

A mathematical investigation is quite different to other mathematical activities. The best investigations are open ended and allow students to choose the way they work and how they record their findings. It is one of the few occasions when 'going off on a tangent' is not only acceptable but actively encouraged (within reason).

Students may ask for 'the answers' but this supposes that the activity is closed. Investigations can always be extended by varying the initial instructions or asking the question 'what if...?'. Sometimes students point out that the instructions are ambiguous and can be interpreted in different ways. This is fine and the students are encouraged to explain how they interpreted the instructions in their report.

Some students may benefit from a writing frame when producing the reports of their investigations. Teachers may suggest sections or headings such as Introduction, Interpretation, Research, Working and Conclusion or something similar.

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