127213

Further geometry (unit 1)

Level: Level Three

In successfully completing this unit, the learner will haveEvidence needed

shown knowledge of

1. how to calculate the perimeter and area of a rectangles and circles

Summary sheet and/or student completed work

2. how to calculate the area of triangles, parallelograms and trapezia

Summary sheet and/or student completed work

3. the surface area and volume of prisms, cylinders, spheres, cones and pyramids

Summary sheet and/or student completed work

4. the angle properties of parallel and intersecting lines, triangles, special types of quadrilaterals and polygons

Summary sheet and/or student completed work

5. circle theorems, eg the angle at the centre is twice the angle at the circumference, angles in the same segment are equal, opposite angles in cyclic quadrilateral add up to 180 degrees

Summary sheet and/or student completed work

6. use trigonometry to solve right-angled triangles

Summary sheet and/or student completed work

demonstrated the ability to

7. interpret and construct at least two geometrical proofs using formal arguments

Summary sheet and/or student completed work

8. use sine and cosine rules to solve non-right angled triangles and find the area of a triangle

Summary sheet and/or student completed work

9. recognise Pythagorean triples, eg 3, 4, 5 and simple multiples of these

Summary sheet and/or student completed work

10. apply trigonometry and Pythagoras’ theorem to 2D and 3D problems.

Summary sheet

Approved 10 Mar 2026

All outcomes must be recorded on AQA summary sheet.

Download a blank UAS summary sheet (45.16 KB) to get started.

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