**"Squares"**

## Squares Game

*By toni On 15 September, 2023 · Leave a Comment*

SQUARES – GAME FOR TWO

Use a dotty grid and take it in turns to claim a point and mark it with your colour. The first person or team to get 4 of their markers at the vertices of a square wins the game.

PEOPLE MATHS – GAME FOR TWO TEAMS

## Square Fence

*By toni On 15 September, 2023 · 7 Comments*

A fence is built around a square field.

Suppose another fence is built exactly one metre longer so the path between the two fences is the same width along the edges of the field. How wide would this path be?

Would a mouse be able to run along it?

Could a farmer drive […]

## Not-So-Square Fence

*By toni On 14 September, 2023 · 5 Comments*

A fence is built around a square field.

Suppose another fence is built exactly one metre longer so the path between the two fences is the same width all the way round including at the corners of the field.

How wide would this path be?

Would a mouse be able to run along it? […]

## Roundabout

*By toni On 14 September, 2023 · Leave a Comment*

A disc (circle) rolls around the outside edge of a square so that its circumference always touches the edge of the square.

Describe the path (or locus) of the centre of the disc and its length.

Describe the paths of the centres of a disc rolling around the edges of other polygons.

## Tangram Fractions

*By toni On 16 June, 2022 · 4 Comments*

This is a classic Chinese Tangram. Each of the people illustrated, and many convex polygons, can be made with the 7 pieces and there are hundreds of other puzzles based on this tangram.

Can you find a way to fold a sheet of paper so that you can cut out the tangram pieces accurately […]

## Is a Square a Rectangle?

*By toni On 26 February, 2021 · 4 Comments*

Make a record of all the rectangles that you can find in this shape.

Which rectangles are exactly the same (congruent)?

Which rectangles are similar?

Is a Square a Rectangle – Template

Click here to download the IS A SQUARE A RECTANGLE? worksheet.

Click here to download the NOTES FOR TEACHERS.

[…]

## Fold a square

*By toni On 25 August, 2020 · Leave a Comment*

A square of paper 8 cm by 8 cm is folded so that the corner P coincides with the midpoint of an opposite edge as shown in the diagram.

Investigate the three triangles (where there is a single thickness of the paper) that are formed by folding in this way.

Click here for […]

Look at this square divided into four pieces : two identical triangles and two identical trapezia.

The edge of length 3 from each triangle matches with the edge of length 3 from a trapezium so that the four pieces from the square now occupy a rectangular space.

The square had side length 8 […]

## Kite in a Square

*By toni On 2 May, 2020 · 3 Comments*

ABCD is a square with edge 1 unit. AM=MB and O is the centre of the square.

Find the area of the kite.

Can you find this area by more than one method?

Click here to download the KITE IN A SQUARE worksheet

Click here to download the KITS IN […]

## How Many Squares?

*By toni On 24 April, 2020 · Leave a Comment*

How many squares can you make by joining four points on this grid?

Look for squares of different sizes and also tilted squares

Start with a 3 by 3 grid of nine dots. Can you find six squares?

Then go on to the 4 by 4 grid of sixteen dots.

What can you say […]

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