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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 calculate and solve problems involving: perimeters of 2-D shapes (including circles), areas of circles and composite shapes"

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

- Area and Perimeter Show that you know the area and perimeter formulas of basic shapes.
- Area and Perimeter of a Rectangle Questions on the areas and perimeters of rectangles which will test your problem solving abilities.
- Area Builder An interactive workspace in which to make shapes using square tiles with given areas and perimeters.
- Area Maze Use your knowledge of rectangle areas to calculate the missing measurement of these composite diagrams.
- Areas of Composite Shapes Find the areas of combined (composite) shapes made up of one or more simple polygons and circles.
- Circles Practise using pi to calculate various circle measurements. There are six levels of difficulty.
- Pi Some information about Pi, the "celebrity number'. A video features maths-loving author Alex Bellos.
- Pi and Four Fingers Why is The Simpsons not in Base 8? In this video Simon Singh talks about Pi and Maths in The Simpsons cartoon.

Here are some exam-style questions on this statement:

- "
*Find the value of \(x\).*" ... more - "
*Find the length of the sides of a square from the following clues:*" ... more - "
*Five identical circles fit exactly inside a rectangle as shown in the diagram.*" ... more - "
*Two identical small yellow circles are drawn inside one large circle, as shown in the diagram. The centres of the small circles lie on the diameter of the large circle. The part of the large circle that is outside both small circles is painted red.*" ... more

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

- Circles This is all to do with pi and why it is such an important number. From finding the circumference and area of circles to problem solving and investigation. Pupils will begin by learning the names of the parts of a circle then, either through investigation or practical activity, discover that the circumference of a circle is always just a little more than three times the length of the diameter whatever the size of the circle. A brief walk through history leads them to find out how to use this knowledge (and a more accurate version of pi) to find the circumference and areas of circles. This can then be developed to find the area of a sector, area of a segment, area of an annulus and the area of the region between a circle and a square in more complex problem solving situations. More mathematics related to the circle can involve angle theorems, loci and algebra.
- Mensuration Mensuration is the branch of Mathematics dealing with measurement of angles, length, area, and volume. It is linked closely to the topic of Estimation and related to the topics of Angles, Shape and Shave (3D). It is essential for pupils to have an understanding of the units used to measure which include both the more common metric units and the Imperial units still in common usage. We have found a good teaching strategy is to ask each of the pupils to "Bring to the next Maths lesson some visual aid which will help the rest of the class remember the size of a unit of measurement". See Memorable Measures below for the printable resources. This activity provides an association with a unit, a visual aid and a known person which is a great memory enhancer.