Summer Work + Reading: A-Level Mathematics 1. COMPULSORY TASK – STRENGTHENING MATHEMATICAL FOUNDATIONS A Level Mathematics moves quickly and assumes confidence with algebraic manipulation. Many students find that difficulties in Year 12 arise not because of new concepts, but because of gaps in core skills from IGCSE. Please review and practise the following topics: a) Review the IGCSE basics: Using Save My Exams or similar revision resources: • • • • • • • •
Algebraic manipulation (expanding, factorising, simplifying) Solving linear and quadratic equations Completing the square Indices and surds Simultaneous equations Coordinate geometry Trigonometry and exact values Functions and graphs
Students are encouraged to revisit key IGCSE Extended Mathematics topics using past paper questions to strengthen fluency and algebraic confidence before starting A Level Mathematic. b) Attempt transition-style questions: Using: Dr Frost Maths → GCSE to A Level Transition materials CorbettMaths → Maths A-level Basic Exercise with answers Suggested topics: • • • • • •
Algebraic fractions Functions and composite functions Coordinate geometry Graph transformations Trigonometric identities Introduction to differentiation