Year 11 Learning

GCSE Mathematics has a Foundation tier (grades 1 – 5) and a Higher tier (grades 4 – 9). The course is assessed through three terminal papers at the end of Year 11. Content from any part of the specification may be assessed in any paper.

In Year 11 students are covering the remaining topics at Higher and Foundation and are revising their learning from previous years to prepare for their final examinations.

Paper 1	Paper 2	Paper 3
Non-calculator 1 hour 30 minutes 80 marks 33 ? % of final assessment	Calculator allowed 1 hour 30 minutes 80 marks 33 ? % of final assessment	Calculator allowed 1 hour 30 minutes 80 marks 33 ? % of final assessment

Topic	Key content
Quadratics	Expressions, equations, identities, formulae Expanding the product of two and three binomials Factorisation Solving quadratic equations The quadratic formula Completing the square Roots and turning points
Real Life Graphs	Rates of change Proportionality Speed, distance, time graphs Velocity time graphs Comparing distributions
Simultaneous Equations	Solving linear equations Solving simultaneous equations: - using a graphical method - by elimination - by substitution Solving simultaneous equations where one function is linear and the other quadratic
Inequalities	Inequality notation Solving linear inequalities Solving quadratic inequalities
Direct and Inverse Proportion	The unitary method Direct proportion Inverse proportion Graphs of proportionality
Bounds	Rounding using decimal places and significant figures Upper and lower bounds Error intervals
Powers and Roots	Squares, cubes, powers and roots Laws of Indices Negative and fractional indices
Sine and Cosine Rule	Trigonometry in right-angled triangles The Sine Rule The Cosine Rule
Graphs of Functions	Curved Graphs, including cubic, reciprocal and exponential functions Trigonometric graphs Transformations of Graphs Equation of a Circle
Circle Theorems	Circle Theorems
Iterations	Iterations
Vectors	Column vectors Vector addition Solving geometrical problems using vectors

End of Year Knowledge