Foundation and Higher / Grades 2 to 5
Angle facts
Use angles on a straight line, around a point, vertically opposite angles, and triangle angle sums to find missing angles.
Pearson Edexcel GCSE Maths geometry G3 and G4: use angle facts, properties of lines, triangles and quadrilaterals.
Open full lessonFoundation and Higher / Grades 4 to 6
Angles in parallel lines
Identify corresponding, alternate and co-interior angles in parallel-line diagrams and use them to find missing angles.
Pearson Edexcel GCSE Maths geometry G4: apply angle facts for parallel lines and transversals.
Open full lessonFoundation and Higher / Grades 4 to 7
Interior and exterior angles
Use polygon angle facts to find interior sums, one interior angle, one exterior angle, and the number of sides of a regular polygon.
Pearson Edexcel GCSE Maths geometry G3: derive and use the sum of angles in polygons and exterior angle facts, including regular polygons.
Open full lessonFoundation and Higher / Grades 2 to 5
Perimeter and area of 2D shapes
Choose the correct perimeter or area method for rectangles, triangles, parallelograms and trapezia, using perpendicular height and correct units.
Pearson Edexcel GCSE Maths geometry G9: identify and apply formulae for perimeter and area of triangles, quadrilaterals and compound 2D shapes.
Open full lessonFoundation and Higher / Grades 4 to 6
Compound area
Find the area of compound shapes by choosing a clear split, finding missing lengths, and adding or subtracting simple areas accurately.
Pearson Edexcel GCSE Maths geometry G9: calculate area of compound shapes using known formulae.
Open full lessonFoundation and Higher / Grades 3 to 6
Volume of cuboids and prisms
Find volumes of cuboids and prisms by identifying the repeated cross-section, calculating its area, and multiplying by the length.
Pearson Edexcel GCSE Maths geometry G16: know and apply formulae to calculate volume of cuboids and prisms.
Open full lessonFoundation and Higher / Grades 4 to 6
Circumference and area of circles
Choose between circumference and area formulae, convert diameter to radius when needed, and give accurate rounded circle answers.
Pearson Edexcel GCSE Maths geometry G9 and G16: know and use formulae for circumference and area of circles.
Open full lessonFoundation and Higher / Grades 4 to 7
Pythagoras' theorem
Identify the hypotenuse, choose add or subtract, give rounded or exact answers, use the converse, and apply Pythagoras in 2D and Higher 3D contexts.
Pearson Edexcel GCSE Maths geometry G20: know, derive and apply Pythagoras' theorem in 2D; apply in 3D contexts for Higher.
Open full lessonFoundation and Higher / Grades 5 to 7
Basic trigonometry
Label a right-angled triangle from the marked angle, choose the correct SOH CAH TOA ratio, and find missing sides or angles.
Pearson Edexcel GCSE Maths geometry G20: know and use trigonometric ratios in right-angled triangles.
Open full lessonFoundation and Higher / Grades 3 to 7
Transformations
Translate, reflect, rotate and enlarge shapes on coordinate grids, then describe each transformation fully using the exact detail Edexcel mark schemes require.
Pearson Edexcel GCSE Maths geometry G7: identify, describe and construct rotation, reflection, translation and enlargement, including fractional and negative scale factors; G8: describe changes and invariance from combinations of transformations.
Open full lessonFoundation and Higher / Grades 4 to 7
Constructions and loci
Use ruler and compass constructions accurately, then interpret loci as sets of points that satisfy distance rules.
Pearson Edexcel GCSE Maths geometry G2: use standard ruler and compass constructions and construct loci.
Open full lessonFoundation and Higher / Grades 4 to 7
Bearings
Measure and draw three-figure bearings accurately from north, then use scale diagrams and angle facts in bearing problems.
Pearson Edexcel GCSE Maths geometry G15: measure and draw lines and angles, including bearings and scale diagrams.
Open full lessonFoundation and Higher / Grades 3 to 6
Scale drawings and maps
Convert between drawing lengths and real distances using map scales, scale bars and ratio-style scale factors.
Pearson Edexcel GCSE Maths geometry G14 and G15: use scale drawings, maps, scale factors and measured lengths.
Open full lessonFoundation and Higher / Grades 4 to 8
Similar shapes and congruence
Identify congruent and similar shapes, use linear scale factors for corresponding lengths, and handle area scale factors for Higher questions.
Pearson Edexcel GCSE Maths geometry G5 and G6: use congruence and similarity, including scale factors and corresponding lengths.
Open full lessonFoundation and Higher / Grades 4 to 7
Surface area of 3D shapes
Find the total outside area of cuboids, prisms, cylinders and simple compound 3D shapes.
Pearson Edexcel GCSE Maths geometry and measures G16: know and apply formulae for surface area of 3D shapes, including prisms and cylinders.
Open full lessonFoundation and Higher / Grades 5 to 8
Arcs and sectors
Name the main parts of a circle and calculate arc lengths and sector areas using the angle fraction.
Pearson Edexcel GCSE Maths geometry G9 and G16: identify circle parts and calculate arc length and sector area.
Open full lessonFoundation and Higher / Grades 4 to 6
Plans and elevations
Draw and interpret the plan, front elevation and side elevation of simple 3D shapes.
Pearson Edexcel GCSE Maths geometry G13: construct and interpret plans and elevations of 3D shapes.
Open full lessonFoundation and Higher / Grades 5 to 8
Vectors in geometry
Use column vectors and vector notation to describe movement, combine vectors and identify parallel vector relationships.
Pearson Edexcel GCSE Maths geometry G25: apply addition and subtraction of vectors, multiplication by a scalar, and vector geometry.
Open full lessonHigher / Grades 6 to 9
Circle theorems
Recognise the main GCSE circle theorems from a diagram, use them to find missing angles, and explain the angle reason clearly.
Pearson Edexcel GCSE Maths Higher geometry G10: apply and prove the standard circle theorems concerning angles, radii, tangents and chords.
Open full lessonHigher / Grades 6 to 9
Sine rule, cosine rule and triangle area
Choose and use the sine rule, cosine rule, and 1/2ab sin C formula in non-right-angled triangles.
Pearson Edexcel GCSE Maths Higher geometry G22 and G23: know and apply the sine rule, cosine rule and formula for the area of a triangle.
Open full lessonHigher / Grades 6 to 9
3D Pythagoras and trigonometry
Use hidden right-angled triangles in 3D shapes to find lengths and angles.
Pearson Edexcel GCSE Maths Higher geometry G20 and G22: apply Pythagoras' theorem and trigonometry in 3D contexts.
Open full lessonHigher / Grades 7 to 9
Vector ratios and proof
Use vector ratios and scalar multiples to prove points are collinear or lines are parallel.
Pearson Edexcel GCSE Maths Higher geometry G25: apply vector arithmetic and vector proof in geometric problems.
Open full lessonHigher / Grades 6 to 9
Cones, spheres, pyramids and frustums
Use volume and surface area formulae for cones, spheres, pyramids and frustums, including similar-shape reasoning.
Pearson Edexcel GCSE Maths Higher geometry G16 and R12: use formulae for cones, spheres, pyramids and frustums, and apply similarity in 3D.
Open full lessonHigher / Grades 7 to 9
Circle equations and tangents
Use the equation of a circle centred at the origin and find the equation of a tangent at a point on the circle.
Pearson Edexcel GCSE Maths Higher algebra/geometry: recognise and use the equation of a circle centred at the origin and find tangent equations.
Open full lesson