Just as in maths, further maths lessons always begin with retrieval practice – a quiz, skills check, or past exam question. Then new concepts are introduced using teacher examples, enhanced with interactive graphing software and other exploratory activities. The emphasis is on building a strong conceptual understanding in order to develop problem-solving ability. Time in lessons is devoted to doing as much mathematics as possible – individually, working in small groups, or in whole-class discussion, with students being invited to contribute their solution strategies or lead examples on the board. The use of a graphical calculator is essential for further mathematics and so this is explicitly taught in lessons. Further mathematicians often lead our entries to the UKMT individual and team challenges, and support is provided for those wishing to apply to top-tier universities through mock interviews and assistance with preparing for the STEP, MAT, and TMUA papers.