Check animations and delete slides not needed for your class. Loci – Demonstration This resource provides animated demonstrations of the mathematical method. Check animations and delete slides not needed for your class.

What shape will be made in the grass? What does the shape represent? In the middle of a field, a cow is tied to a rope that is tied to a stake in the ground. The cow eats the grass. What shape will be made in the grass? What does the shape represent?

What shape will be made in the grass? What does the shape represent? In the middle of a field, a cow is tied to a rope that is tied to a stake in the ground. The cow eats the grass. What shape will be made in the grass? What does the shape represent?

A circle represents: the locus of a point equidistant from the centre. Every part of the circumference is 10 metres from A. 10 m A Singular: Locus Plural: Loci Latin for ‘place’. The movement of a point according to a given rule.

What is the locus of a point that is always 4 cm away from B?

① What is the locus of a point that is always 3 cm away from C? 3 cm C

What is the locus of a point that is always the same distance from A & B? This line is a perpendicular bisector of the line AB.

② What is the locus of a point that is always the same distance from C & D? C D This line is a perpendicular bisector of the line CD.

× A B What is the locus of a point that is always 3 cm from line AB? What about here? × A B

③ What is the locus of a point that is always 4 cm from line EF? E F

④ A goat is tied by a 8 m rope to the corner (A) of a shed. Show the area that the goat can graze. (1 cm = 2 m) A 4 m 4 m 4 m

Answers

tom@goteachmaths.co.uk Questions? Comments? Suggestions? …or have you found a mistake!? Any feedback would be appreciated . Please feel free to email: tom@goteachmaths.co.uk