**"Tessellation"**

## Enlargement

*By toni On 11 October, 2020 · Leave a Comment*

Make enlargements of the coloured shapes by fitting together four identical smaller shapes.

How much longer are the edges (the linear scale factor of the enlargement)?

How much bigger is the area (the area scale factor of the enlargement)?

Now look at the illustration of the 3-dimensional solids. One is […]

## Tessellating Triangles

*By toni On 18 April, 2020 · Leave a Comment*

This diagram shows 3 sets of parallel lines. What do you notice in the diagram?

Look at the triangle with angles marked 1, 2 and 3.

Call this T.

Label angles equal to these angles. Why are they equal?

Look at the larger heavily outlined triangle.

How many copies of triangle T can […]

## Tessellating Quadrilaterals

*By toni On 23 June, 2015 · Leave a Comment*

We say that a shape tessellates if we can fit together copies of it to cover a flat surface without leaving any gaps and this covering can be extended in all directions.

The question here is “What can we find out about tessellating different quadrilaterals?”

It’s quite easy to see how […]

## Trisquares

*By toni On 2 June, 2015 · 6 Comments*

These ‘trisquares’ are made up of three squares and each has an area of 3 square units.

Can you fit them together to make an enlargement of the shape? What is its area?

Can you fit trisquares together to make enlargements of scale factors 3, 4 and 5? What are their areas?

Is it […]

## Years 4 – 10 Quarters

*By toni On 7 May, 2012 · 8 Comments*

In how many ways can you half cover one big square using two smaller yellow squares as in diagram A.

What are the similarities and differences between the patterns?

Suppose you half cover four big squares by half covering each square as in diagram B.

Diagram B is unchanged when you rotate […]

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