Transum Software

Loci Land

Make scale drawings of real life loci situations using ruler, compasses and pencil.

Level 1 Level 2 Exam-Style Description Help More Loci
  • Copy the diagram of this pitch onto graph paper or squared paper. Each square represents one square metre.
  • Declan crosses the pitch keeping the same distance from the points E and F. Accurately draw Dec's path.
  • Anthony crosses the pitch keeping the same distance from the points G and H. Accurately draw Ant's path.
  • Shade the region of the pitch that is at least 10 metres from the point where Ant and Dec's paths cross.
  • How far is the point F from the point where the two paths cross?
m Correct Wrong
  • Copy the diagram of this prison onto graph paper or squared paper. The length of the side of each square represents 5 metres.
  • A prisoner leaves building 1 by the door at E and walks keeping the same distance from the two walls of building 1. When he gets to the point where he can be seen by the camera at F he changes course and walks directly towards building 2. Construct the path taken and measure the distance along the path. Give your answer in metres to the nearest half metre.
m Correct Wrong
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Description of Levels

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Level 1
1. Draw an angle bisector and find the loci of points less than a certain distance from a point.
2. Find the loci of points less than a certain distance from a rectangle and a circle.

Level 2
1. Draw the perpendicular bisector of line and find the loci of points more than a certain distance from a point.
2. Bisect an angle and draw the perpendicular from a point to a line.

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Curriculum Reference

See the National Curriculum page for links to related online activities and resources.

Example

The video above is from Lambeth Academy.

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