A Level in Further Mathematics

The aims and objectives of this qualification are to enable students to:

• ● understandmathematicsandmathematicalprocessesinwaysthatpromoteconfidence, foster enjoyment and provide a strong foundation for progress to further study

• ● extendtheirrangeofmathematicalskillsandtechniques

• ● understandcoherenceandprogressioninmathematicsandhowdifferentareasof mathematics are connected

• ● applymathematicsinotherfieldsofstudyandbeawareoftherelevanceofmathematics to the world of work and to situations in society in general

• ● usetheirmathematicalknowledgetomakelogicalandreasoneddecisionsinsolving problems both within pure mathematics and in a variety of contexts, and communicate the mathematical rationale for these decisions clearly

• ● reasonlogicallyandrecogniseincorrectreasoning

• ● generalisemathematically

• ● constructmathematicalproofs

• ● usetheirmathematicalskillsandtechniquestosolvechallengingproblemswhichrequire them to decide on the solution strategy

• ● recognisewhenmathematicscanbeusedtoanalyseandsolveaproblemincontext

• ● representsituationsmathematicallyandunderstandtherelationshipbetweenproblemsin context and mathematical models that may be applied to solve them

• ● drawdiagramsandsketchgraphstohelpexploremathematicalsituationsandinterpret solutions

• ● makedeductionsandinferencesanddrawconclusionsbyusingmathematicalreasoning

• ● interpretsolutionsandcommunicatetheirinterpretationeffectivelyinthecontextofthe problem

• ● readandcomprehendmathematicalarguments,includingjustificationsofmethodsand formulae, and communicate their understanding

• ● readandcomprehendarticlesconcerningapplicationsofmathematicsandcommunicate their understanding

• ● usetechnologysuchascalculatorsandcomputerseffectively,andrecognisewhensuch use may be inappropriate

• ● takeincreasingresponsibilityfortheirownlearningandtheevaluationoftheirown mathematical development