# Tessellations

##### PolygonsPentominoes7-pin PolysPicturesCreaturesBunniesQuiz
 Generate Gecko Starman Face Cat Brown House Yellow House Lilac House Green House Blue Blob Lilac Blob Yellow Blob Green Blob select size then drag the shape you have generated onto the canvas below. Shapes which tessellate can completely cover a surface without overlapping. Which shapes tessellate? Drag the shapes to arrange them on the canvas so that they don't leave any gaps and don't overlap. Hold down the shift key or tick this while you drag to rotate the shape.

#### Tangram Template

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

Transum.org/go/?to=tangrams

#### Tetrominoes

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

Transum.org/go/?to=tetrominoespuzzles

#### Pentominoes

Arrange the twelve pentominoes in the outline of a rectangle.

Transum.org/go/?to=pentominoes

Investigations Home

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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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#### Car Park Puzzle

Can you get your car out of the very crowded car park by moving other cars forwards or backwards? There are five levels of increasing difficulty and the interactive interface makes this a fun problem solving exercise.

#### Remainder Race

A game involving chance and choice requiring an ability to calculate the remainder when a two digit number is divided by a single digit number.

Transum.org/go/?to=remainder

#### Mixed Medians

Find the medians of sets of different types of numbers in these self-marking exercises. So far this activity has been accessed 169 times and 49 Transum Trophies have been awarded for completing it.

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