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Maths for ages 11-16

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The locus of points from a fixed point

Imagine placing counters so that their centres are always 5 cm from a fixed point P.

P

The locus is a circle with a radius of 5 cm and centre at point P.

5 cm

Describe the locus made by the counters.

A locus is a set of points that satisfy a rule or set of rules.

A locus can be thought of as a path or region traced out by a moving point. The plural of locus is loci.

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The locus of points from a given shape

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Tethered goats

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Imagining paths

How could each path be representedin two and three dimensions?

A nervous woman pacesup and down in one of the capsules on the London Eyeas she ‘enjoys’ the view.

Some fluffy dice hang from the rear-view mirror in a car and swing from side to side as the car moves forwards.

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Turtle walking

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Grazing sheep

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Lost at sea

A rambler is lost. His mobile signal is picked up by 2 masts A and B on the coastline. This gives the distance of the phone from each mast. However, this gives two possible positions.

Why is only one correct?

AABB

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