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These are the Transum resources related to the statement: "Pupils should be taught to derive and use the standard ruler and compass constructions (perpendicular bisector of a line segment, constructing a perpendicular to a given line from/at a given point, bisecting a given angle); recognise and use the perpendicular distance from a point to a line as the shortest distance to the line".

Here are some specific activities, investigations or visual aids we have picked out. Click anywhere in the grey area to access the resource.

- Constructions Construct the diagrams from the given information then check your accuracy.
- Loci Construction Pairs Match the description of the loci to the diagram of the construction.
- Loci Land Make scale drawings of real life situations using ruler, compasses and pencil to answer questions about loci.
- Sheep Herding Arrange the sheep in the field according to the instructions. An introduction to loci.

Here are some exam-style questions on this statement:

- "
*Construct a locus of points that are the same distance from points A and B.*" ... more - "
*Construct a quadrilateral ABCD in which:*" ... more - "
*The diagram, drawn to scale, shows a right-angled triangle ABC.*" ... more

Click on a topic below for suggested lesson Starters, resources and activities from Transum.

- Construction In a way this topic is quite different to all of the other topics in school mathematics. It requires a practical skill as well as the understanding of the geometrical concepts. It also requires a sharp pencil, a sturdy ruler and a decent pair of compasses. Younger children should practise using the drawing instruments to make patterns. They will then progress to constructing accurate diagrams, plans and maps. Older pupils are taught to derive and use the standard ruler and compass constructions for the perpendicular bisector of a line segment, the perpendicular to a given line from a given point and the bisector of a given angle.
- Loci A locus (plural: loci) is a set of points whose location satisfies or is determined by one or more specified conditions. This topic links to Geometry and Shape and provides opportunity for accurate drawing and 'people maths' where pupils can position themselves in the classroom according to certain conditions.

How do you teach this topic? Do you have any tips or suggestions for other teachers? It is always useful to receive feedback and helps make these free resources even more useful for Maths teachers anywhere in the world. Click here to enter your comments.