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Programme Of Study For Key Stage 3 Mathematics

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.
- 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 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 Practise using mathematical drawing instruments to construct accurate diagrams, plans and maps.
- Shape This topic is aimed at the learners of basic geometry, which is the study of size, shape and position. More than other areas of mathematics this topic helps pupils to learn about the definitions and properties of basic shapes. There are many activities provided ranging from simple shape naming games to applying more advanced formulas and theorems. The most popular activities however are those involving pupils to count the number of triangles or rectangles in patterns and come up with effective strategies and justifications for their answers. The work pupils produce for this topic can make very good display material. The use of colour can enhance the diagrams and make the learning environment more conducive to study. There are many connections between the mathematics of shape and Art. There are fascinating works of art based on symmetry, tessellations and transformations.