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**Scheme of work: Key Stage 3: Year 8: Term 4: Circles, Cylinders and Circular Shapes**

- Derive and apply formulae to calculate and solve problems involving: the perimeter and area of triangles, parallelograms, trapezia, the volume of cuboids (including cubes) and other prisms.
- Calculate and solve problems involving: perimeters of 2-D shapes and composite shapes.

- The radius is the distance from the centre to any point on the circumference. The plural radius is radii.
- The diameter is the distance across the circle through the centre.
- Ï€ is a Greek letter used to represent the value of the circumference of a circle divided by its diameter.
- The circumference is the distance about the edge of a circle. The circumference of a circle can be calculated as:
- C = ÏπD where D is the diameter, or,
- C = 2πr
- Where r is the radius.

- The area of a circle can be calculated using the formula
- A = πr
^{2}, where r is the radius.

- A = πr
- A cylinder is a circular prism.

- Develop fluency
- Use language and properties precisely to analyse numbers, algebraic expressions, 2-D

and 3-D shapes, probability and statistics. - Use algebra to generalise the structure of arithmetic, including to formulate

mathematical relationships - Substitute values in expressions, rearrange and simplify expressions, and solve

equations

- Use language and properties precisely to analyse numbers, algebraic expressions, 2-D
- Reason mathematically
- Make and test conjectures about patterns and relationships; look for proofs or counterexamples.
- Begin to reason deductively in geometry, number and algebra, including using geometrical constructions

- Solve problems
- Begin to model situations mathematically and express the results using a range of

formal mathematical representations - Select appropriate concepts, methods and techniques to apply to unfamiliar and nonroutine

problems.

- Begin to model situations mathematically and express the results using a range of

- Shape
- Derive and illustrate properties of triangles, quadrilaterals, circles, and other plane figures [for example, equal lengths and angles] using appropriate language and technologies
- Calculate and solve problems involving: perimeters of 2-D shapes (including circles), areas of circles and composite shapes
- Derive and apply formulae to calculate and solve problems involving: perimeter and area of circles and cylinders

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