INTERVIEWS & ADMISSIONS
Subject Knowledge Audit – Maths
Please self-grade and identify the source/s of your knowledge for each of the topics listed below.
Source of Knowledge / Skills (write one or two codes):
N
None (or below GCSE)
G
GCSE (or O Level)
A
Advanced Level (including AVCE,
HNC)
D
P
W
Degree Level (including HND)
Post-graduate
Work-related training
Current Level of Knowledge / Skill (write one grade only):
4
3
2
1
Little or No Secure Knowledge.
Basic Personal Knowledge up to GCSE level, however you are not fully aware of possible
misconceptions and how to address them and you may inadvertently reinforce
misconceptions.
Secure knowledge / skill up to GCSE that would enable you to teach this to pupils. You
would be aware of the common misconceptions in this skill area and you would be able to
address these in a lesson.
Secure knowledge / skill up to A Level standard.
Name:
Area
Date:
Skill / Knowledge
Integers, Powers and square/cube roots
Fractions, Decimals, Percentages
Ratio and Proportion
Estimation, Approximation and Bounds of Error
Number
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
Algebra
Algebraic Manipulation, Functions, Equations
Linear Equations, Simultaneous Linear Equations
Inequalities
Numerical Methods
Arithmetic Sequences
Source
N/G/A/D/P/W
Level
0/1/2/3/4
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
Calculus
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
Shape and Space
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.
Statistics
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
Probability
Regression Analysis
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
Mechanics
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
Discrete
Algorithms
Network Diagrams, Shortest Path Problems
Linear Programming
Critical Path Analysis
Game Theory
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
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
Qualifications
Resources
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
KNOWLEDGE
GRADE
0/1/2
Additional relevant information (optional):