Maths

Progression from factor pairs to the zero product property, area problems and interpreting solutions

Summary Students recap key quadratic vocabulary and the standard form ax² + bx + c = 0 before identifying the coefficients a, b and c. They practise substituting values into the quadratic formula, interpret the discriminant, and explore how the coefficient of x² affects the orientation of a graph. T

A focused Year 11 lesson on the key circle theorems required for GCSE Maths. Students explore angles at the centre and circumference, semicircles, cyclic quadrilaterals, tangents, radii and the alternate segment theorem.

Progression from factor pairs to the zero product property, area problems and interpreting solutions

The video opens with the core problem: students who can do the maths still walk out having dropped marks they should have kept. It then works through seven focused beats — how command words (Calculate, Prove, Hence, Show That) demand fundamentally different responses; why writing one clean chain of working earns method marks even when the final answer is wrong; why rounding mid-calculation loses accuracy marks on every line that follows; how algebraic proof requires starting from the given information and closing with "therefore" — never backwards from the answer; the three quadratic methods and when to choose each; the two trig traps of wrong rule selection and calculator mode; and the two most commonly dropped areas

Summary: This presentation helps students revise number, algebra, geometry, statistics, and probability, while also building confidence with exam technique and problem-solving.

Summary: This presentation helps students revise number, algebra, geometry, statistics, and probability, while also building confidence with exam technique and problem-solving.

Revises number, algebra, geometry, statistics, and problem-solving in a clear, accessible way.

Master all 8 circle theorems with this complete GCSE Higher Tier resource pack. Includes a full lesson plan with starter activities, main teaching content, and plenary; Worksheet 1 with scaffolded foundation practice across 6 sections plus extension proofs; Worksheet 2 with 12 challenging exam-style questions worth 50 marks; and 8 visual flashcards showing each theorem with clear diagrams. Covers angle properties, tangent rules, cyclic quadrilaterals, and the alternate segment theorem. Aligned to AQA and Edexcel specifications for Grades 7-9.

Pupils progress from right-angled SOHCAHTOA through exact values to Sine/Cosine Rules for any triangle. Builds spatial reasoning, exact-value fluency, and multi-step problem-solving for Higher Tier exam questions.

Pupils classify quadratics, master three solving methods (factorising, completing the square, formula), interpret the discriminant graphically, and evaluate which method suits each problem. Builds algebraic fluency and exam technique.