**"Perimeter"**

## 30-Minute Global Maths and Science Lesson – Beltway Around The Earth – Outer Rims

*By toni On 17 September, 2023 · Leave a Comment*

Click here to register for the 2023 GLOBAL MATHS AND SCIENCE LESSON ON TUESDAY 10 OCTOBER. See below for links to lesson resources.

1. Working with a square drawn on the ground in the classroom, or in a bigger space, indoors or outdoors, find the perimeter of […]

## 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? […]

## Belt Round The World

*By AA On 14 September, 2023 · 2 Comments*

A wire belt is tied tightly around the Earth at the equator. Suppose the belt is made exactly one metre longer and held around the Earth at the equator so that it is the same distance away from the Earth everywhere. Would a mouse be able to crawl under the new belt? How do […]

## 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.

## Making Triangles

*By toni On 21 June, 2021 · Leave a Comment*

Use 11 sticks of equal length to make this triangle with edge lengths 2, 4 and 5. You might like to record this as (2, 4, 5). How many other triangles can you make with 11 sticks?

You could use paper sticks, toothpicks, or a piece of string with […]

## Quadratic Equations

*By Kwethemba Moyo On 14 June, 2020 · Leave a Comment*

1. For security John plans buy the minimum amount of Diamond Razor Mesh fencing material to fence around his dam and discourage entry. He sent his 15 year old son Mzu to measure the dam.

Mzu tells his Dad that this rectangular shape he has drawn of the dam and fence can help him.

To […]

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 […]

## Surprise Ratios

*By toni On 3 May, 2020 · Leave a Comment*

A circle of radius r and centre O, is inscribed in a triangle with edges of lengths a, b and c.

Find the area and circumference of the circle.

Find the area and the perimeter of the triangle.

What do you notice about the ratios of the two areas and the ratios […]

## Squareflake Fractal

*By toni On 14 September, 2019 · Leave a Comment*

1. If the red square has area 1 square unit. What is the area enclosed by the stage 1 squareflake?

2. What is the area enclosed by the stage 2 squareflake? What about the stages 3 and 4 squareflakes?

3. If replacing each line segment on the edge with the zig-zag is […]

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