 # 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