Shapes, angles, area and volume, trigonometry and vectors — the maths of space and measurement.
Master angle rules, parallel lines, and triangle properties to solve any geometry question with confidence.
Explore the names, angle sums, and special properties of regular and irregular polygons.
Understand lines of symmetry and rotational symmetry in 2D shapes and real-world contexts.
Read, measure, and calculate three-figure bearings for navigation and direction problems.
Use a compass and ruler to construct triangles, perpendicular bisectors, and trace loci accurately.
Learn the key circle theorems — angles, chords, tangents — and how to prove and apply them.
Write clear, logical geometry proofs using angle facts, congruence, and known properties.
Find missing sides in right-angled triangles using a² + b² = c², the most famous formula in geometry.
Use SOHCAHTOA to find angles and sides in right-angled triangles — the backbone of trig at GCSE.
Solve any triangle — not just right-angled ones — using the sine rule, cosine rule, and the ½ab sin C area formula.
Extend Pythagoras and SOHCAHTOA into three dimensions to find lengths and angles in 3D shapes.
Calculate perimeters and areas of triangles, quadrilaterals, circles, and compound shapes.
Calculate surface areas and volumes of prisms, cylinders, pyramids, cones, and spheres.
Identify congruent and similar shapes, and use scale factors to find missing lengths, areas, and volumes.
Work with coordinates to find midpoints, distances, gradients, and equations of lines and circles.
Represent and calculate with vectors — addition, subtraction, scalar multiples, and geometric proofs.
Apply and describe translations, reflections, rotations, and enlargements on a coordinate grid.
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