# Tessellations

##### PolygonsPentominoes7-pin PolysPicturesCreaturesBunniesQuiz
 Generate Yellow Dog Blue Dog Orange Alien Red Alien Green Bird Purple Bird Milli Cyber Spider Cyber Orange Plane Brown Plane Yellow Bull Blue Bull 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.

Take a screenshot of your tessellations for your notes.                 Background colour:

#### 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

#### Tetrominoes

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

The short web address is:

Transum.org/go/?to=tetrominoespuzzles

#### Pentominoes

Arrange the twelve pentominoes in the outline of a rectangle.

The short web address is:

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.

## Here are some other activities you may be interested in:

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We have collected together lots of strategy games for you to enjoy. Many of them have mathematical principles involved in their design so would make a good activity for a Mathematics lesson.

#### 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.

The short web address is:

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 227 times and 60 Transum Trophies have been awarded for completing it.

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