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Transcript
Schools Direct INTERVIEWS & ADMISSIONS SUBJECT KNOWLEDGE AUDIT –MATHS NAME DATE Purpose of the Audit Your indications of subject knowledge strengths and weaknesses will be used as a basis for discussion during your individual interview and will inform target-setting afterwards. When the course begins, the audit will also be used to inform planning for the development of key areas of individual trainee subject knowledge. Please complete the enclosed audit as accurately and completely as possible using the following ‘codes’ where applicable. Knowledge Grade 0 1 2 No secure knowledge Basic knowledge can be applied to the solution of problems Secure knowledge that can be used to explain to others Source of Knowledge A B C D GCSE Qualification or below AS or A Level Study Degree or Post Graduate academic study Other (e.g. Employment, Professional Training) In addition to the completing this audit, prior to the Subject Interview Day you need to complete the GCSE Higher Level (AQA) May 2009 Non-Calculator paper. This can be downloaded from: http://store.aqa.org.uk/qual/gcse/qp-ms/AQA-4306-1H-W-QP-JUN09.PDF Number Mathematics Topic KNOWLEDGE GRADE (0 or 1 or 2) SOURCE OF KNOWLEDGE (A or B or C or D) Integers, Powers and square/cube roots Fractions, Decimals, Percentages Ratio and Proportion Estimation, Approximation and Bounds of Error Fractional and Negative Indices, Index Laws, Reciprocals Standard Form, Scientific Notation Rational and Irrational Numbers Use of Significant Figures and Decimal Places Numerical Surds Complex Numbers Logical Proof Number theory Set Theory Computability 1 Statistics Shape and Space Calculus Algebra Mathematics Topic KNOWLEDGE GRADE (0 or 1 or 2) SOURCE OF KNOWLEDGE (A or B or C or D) Algebraic Manipulation, Functions, Equations Linear Equations, Simultaneous Linear Equations Inequalities Numerical Methods Arithmetic Sequences Graphs, Domains and Ranges Quadratics, higher polynomials, Simultaneous quadratics Transformation of functions and their graphs Indices and Logarithms Curve Sketching Arithmetic and Geometric Sequences and Series, Binomial Theorem Chaotic Functions, Fractals, Mandelbrot Sets etc. Hyperbolic Functions Rational Functions Power, binomial, exponential and logarithmic series Matrix Algebra Topology Principles and History of The Calculus, continuity, limits Differentiation (algebraic and transcendent functions) Integration (definite and indefinite) Numerical Integration (Simpson’s rule etc.) Differential Equations Functions of Several Variables Real and Complex Analysis Angles, Parallel Lines, Triangles, Quadrilaterals Pythagoras’ Theorem Circle Theorems Transformations Measurement Constructions Areas, volumes, perimeters and surface area Loci Congruence and Similarity Trigonometry, Graphs of Trigonometric Functions Vectors Matrices Trigonometric Functions and Identities Parametric and Polar Functions Equations of circles, ellipses etc. Radian measure The statistical process – planning, collecting, processing, interpreting Data-collection methods Statistical tables and charts Averages (mean, median, mode) Scatter graphs and correlation Sampling Interquartile range, moving averages, Standard Deviation Hypothesis Testing Regression Analysis 2 Discrete Mechanics Probability Mathematics Topic KNOWLEDGE GRADE (0 or 1 or 2) SOURCE OF KNOWLEDGE (A or B or C or D) Practical probability, estimates of probability, probability scale, effects of sample size Theoretical probabilities for one and two events, sample space diagrams Independent and mutually-exclusive events Tree diagrams Combinations and Permutations Conditional probability, Bayesian statistics Probability distributions, variance, expectation, the “normal” curve etc. Multivariate Analysis Kinematics and Dynamics Work, Energy and Power Impulse and Momentum Circular Motion, Projectiles Variable Forces, SHM Statics, Moments, Couples, Centres of Mass, Friction Bending Moments, Shearing Force Algorithms Network Diagrams, Shortest Path Problems Linear Programming Critical Path Analysis Game Theory 3 SUBJECT CURRICULUM KNOWLEDGE AUDIT MATHEMATICS Knowledge Grade 0 1 2 None or recalled from own experience as pupil/student Outline knowledge based on general reading or hearsay Detailed knowledge based on specialist reading or recent experience of schools Area of Mathematics Education KNOWLEDGE GRADE (0 or 1 or 2) Qualifications Resources Curriculum National Curriculum Orders for Secondary Education Key Stage 3 National Strategy Framework for Teaching Guidelines and Code of Practice for supporting students with Special Education Needs Guidelines for including Gifted and Talented Pupils Guidelines for including pupils for whom English is an additional language Numeracy across the Curriculum Guidelines The use of ICT for teaching and learning mathematics Published schemes and resources (e.g. SMILE, SMP etc.) Research into Using and Applying Mathematics (Investigations, practical work etc.) Entry Level Certificates in Mathematics (formerly Certificates of Achievement) Specifications for GCSE Mathematics Key Skills Qualifications and Application of Number Specifications for AS/A Level Mathematics Advanced Extension Awards for Mathematics 4