Summer Work + Reading: A-level Further Mathematics 1. COMPULSORY TASK – DEVELOPING MATHEMATICAL THINKING Further Mathematics is designed for students who enjoy mathematics and are excited by problem solving beyond standard methods. Success depends on strong algebraic fluency and curiosity rather than simply learning procedures. Please complete the following: a) Strengthen core skills: Review: • • • • • • •
Algebraic manipulation Trigonometry Coordinate geometry Functions Sequences and series Proof techniques Mathematical reasoning
b) Attempt enrichment and problem-solving activities: Using: NRICH Sixth Form Problem Solving Activities NRICH Post 16 Curriculum Underground Mathematics Suggested areas: • • • • •
Logic problems Mathematical proof Sequences and patterns Geometry investigations Introductory matrices and vectors
If you wish to consolidate your understanding moving into Further Mathematics, an optional bridging text is: Head Start to A-Level Further Maths (CGP) ISBN: 978-1782947936