Mathematics

The Mathematics Department is ambitious for all students to reach a high level of attainment in this subject. We promote an understanding of, and pleasure in, the beauty, order and paradox of mathematics the language of the universe.

Staff Names and Roles

  • Mrs P Deu, (PD)
  • Dr M Lardner, (ML)
  • Miss K Meally (KM)
  • Mr M Qamar, (MQ)
  • Mr A J Russell (AJR)
  • Dr C M Smith, (CMS)
  • Miss A M Lexy, (AML), Subject Leader

Useful Websites to support your son’s learning

Opportunities outside of lessons

Broader aspects of study are an essential feature of Mathematics at Aston and students are encouraged to participate in a range of activities such as involvement in UKMT Challenges and other competitions, Mathematical Activity Days in School and visits to “Popular” Mathematics lectures at, for example, the Universities of Birmingham and Warwick, and elsewhere.

Course information

BACK

YEAR 7

Topics Studied this Year
Arithmetic
  • Operations on integers, fractions and decimals (+, −, ×, ÷ )
  • Rounding numbers (decimal places, significant figures)
  • Directed numbers. Prime factors, HCF, LCM
  • Properties of numbers (prime numbers, index form, tests of divisibility)
  • Perimeter and area
Algebra
  • Algebraic terminology
  • Rules of algebra: collecting like terms, removing brackets
  • Solving linear equations (including those with brackets)
  • Co-ordinates
Geometry
  • Geometry definitions lines, angles, plane figures and solids
  • Formal geometry of angles associated with parallels, triangles and quadrilaterals
  • Constructions
  • Symmetry
Statistics
  • Grouping data
  • Tally charts, Pictograms, Bar charts
  • Mean, median, mode and range
  • Pie charts
Examination Technique
  • Revision programme

ALL FORMULAE MUST BE MEMORISED

How will your son be assessed during Year 7?

There are two homeworks per week, usually written in exercise books; alternatively, a revision or an on-line task may be set.

Five separate file paper homeworks, at intervals, usually per half term, during the year.

Self-assessed or peer-assessed tasks, at intervals during the year.

Four short tests at approximate 8 week intervals in October, December, February/March and April. Content of each test based on preceding weeks’ topics. Two End of Year tests (June) which will contain questions on any topic studied in the year. Common tasks in the form of “project” type activities will be set at intervals, to be completed during lessons and homework time.

How could you support your son to learn during Year 7?
  • By encouraging him to meet all deadlines for set work
  • By ensuring he follows the revision programme of practice questions
  • By keeping a note of his password to access the on-line textbook
BACK

YEAR 8

Topics Studied this Year

Mathematics is an accumulating subject, so it is important to revise earlier work continually. Topics studied in Year 7 form the basis for Year 8.

Arithmetic
  • Positive & Negative Indices. Index Form. Standard For
  • Interchanging fractions, decimals and percentages
  • Percentage of a quantity. Percentage increase and decrease
  • Simplifying ratios. Division in given ratio. Proportion
  • Area of compound shapes
  • Circumference and area of a circle
Algebra
  • Solving Equations and Inequations
  • Algebraic Fractions
  • The equation of a line y = mx + c Intersecting lines. Perpendicular lines
Geometry
  • Angles in regular polygons
  • Transformations : Reflections, Translations, Rotations
  • Construction of triangles. Bearings
Statistics
  • Probability: Sample Space Diagrams
  • Scatter Graphs, Correlation and Line of best fit
Examination Technique
  • Revision programme

ALL FORMULAE MUST BE MEMORISED

How will your son be assessed during Year 8?

There are two homeworks per week, usually written in exercise books; alternatively, a revision or an on-line task may be set.

Five separate file paper homeworks, usually per half term, at intervals during the year.

Self-assessed or peer-assessed tasks, at intervals during the year.

Four short tests at approximate 8 week intervals in October, December and February/March. Content of each test based on preceding weeks’ topics. Two End of Year tests (June) which will contain questions on any topic studied in the year.

  • Paper 1: Non-calculator
  • Paper 2: Calculator allowed

Common tasks in the form of “project” type activities will be set at intervals, to be completed during lessons and homework time.

How could you support your son to learn during Year 8?
  • By encouraging him to meet all deadlines for set work
  • By ensuring he follows the revision programme of practice questions
  • By keeping a note of his password to access the on-line textbook
BACK

YEAR 9

Topics Studied this Year

Mathematics is an accumulating subject, so it is important to revise earlier work continually. Topics studied in Year 7 and Year 8 form the basis for Year 9.

Arithmetic
  • Fractions and decimals
  • Percentages, ratio and proportion
  • Indices
  • Standard form
Algebra
  • Expanding brackets, algebraic products, Factorisation
  • Simultaneous equations by elimination and by substitution
  • Straight line graphs and Inequalities involving x and y, region of a plane
  • Substitution into formulae. Rearranging formulae
  • Drawing quadratic graphs, Solving quadratic equations by factorisation
Geometry and Trigonometry
  • Pythagoras’ Theorem
  • Trigonometric ratios : sine, cosine, tangent
  • Solids, planes of symmetry
  • Transformations: Enlargements
Statistics
  • Probability including tree diagrams
  • Cumulative frequency polygons and curves, Box Plots
  • Calculation of the Mean and Interquartile Range
  • Stem and Leaf diagrams
  • Problem questions involving applications of the above topics
Examination Technique
  • Revision programme

ALL FORMULAE MUST BE MEMORISED

How will your son be assessed during Year 9?

Common Assessment Tasks
There are two homeworks per week, usually written in exercise books; alternatively, a revision or an on-line task may be set.

Five separate file paper homeworks, usually per half term, at intervals during the year.

Self-assessed or peer-assessed tasks, at intervals during the year.

Four short tests at approximate 8 week intervals in October, December and February/March. Content of each test based on preceding weeks’ topics. Two End of Year tests (June) which will contain questions on any topic studied in the year.

  • Paper 1: Non-calculator
  • Paper 2: Calculator allowed

Common tasks in the form of “project” type activities will be set at intervals, to be completed during lessons and homework time

How could you support your son to learn during Year 9?
  • By encouraging him to meet all deadlines for set work
  • By ensuring he follows the revision programme of practice questions
  • By keeping a note of his password to access the on-line textbook
BACK

GCSE YEAR 10 & 11

Specification and Topics covered at GCSE
Year 10

Mathematics is an accumulating subject, so it is important to revise earlier work continually. Topics studied in Years 7, 8 and 9 form the basis for Year 10.

Arithmetic
  • Surds (+, −, ×, ÷) including rationalization of denominator
  • Levels of accuracy. Upper and lower bounds
  • Arc length, area of sector, area of segment
  • Dimensions in formulae for Length/Area/Volume
  • Perimeters, areas/surface areas and volumes in 2D and 3D
Algebra
  • Rules of indices including fractional and negative indices
  • Completing the square. Quadratic equation formula
  • Simultaneous equations (algebraically and graphically)
  • Algebraic fractions (simplifying and solving equations)
  • Solving equations by trial and improvement
Geometry
  • Circle theorems
  • Similartriangles
  • Congruency
  • Similarity, Lengths/Areas/Volumes
Trigonometry
  • Sine, cosine, tangent of angles from 0° to 360° and their graphs
  • Sine rule, cosine rule, area of triangle = ½ab sin C
Statistics
  • All statistical calculations and diagrams previously studied.
  • Conditional probability, Tree Diagrams
  • Conditional probability, Venn Diagrams
Examination Technique
  • Revision programme

ALL FORMULAE MUST BE MEMORISED

Year 11

Mathematics is an accumulating subject, so it is important to revise earlier work continually. Topics studied in Years 7, 8, 9 and 10 form the basis for Year 11.

Arithmetic
  • Compound Interest
  • Variation (direct and inverse)
Algebra
  • Graph plotting and curve sketching (including sine and cosine graphs).
  • Proof
Geometry
  • Congruence and similarity, including the effect of enlargement on area and volume
  • Vectors
  • Transformations applied to graphs
Trigonometry
  • Transformations applied to graphs of trigonometric functions
Statistics
  • Sampling, including use of stratified sample
  • Review statistical diagrams
  • Histograms
Examination Technique
  • Revision programme

ALL FORMULAE MUST BE MEMORISED

Year 10

There are two homeworks per week, usually written in exercise books; alternatively, a revision or an on-line task may be set.

Five separate file paper homeworks, at intervals during the year.

Self-assessed or peer-assessed tasks, at intervals during the year.

Common Assessment Tasks
Four short tests at approximate 8 week intervals in October, December and May/ June. Content of each test based on preceding weeks’ topics.

Two End of Year tests (April/July) which will contain questions on any topic studied in the year.

  • Paper 1: Non-calculator
  • Paper 2: Calculator allowed

Common tasks in the form of “project” type activities will be set at intervals, to be completed during lessons and homework time.

Year 11:

There are two homeworks per week, usually written in exercise books; alternatively, a revision or an on-line task may be set.

Five separate file paper homeworks, at intervals during the year.

Self-assessed or peer-assessed tasks, at intervals during the year.

Common Assessment Tasks
Two short tests in October and April. Content of each test based on preceding weeks’ topics/revision.

Two Trial Examinations (December/ January) which will contain questions on any topic studied for GCSE.

  • Paper 1: Non-calculator
  • Paper 2: Calculator allowed

GCSE : Examination Board EDEXCEL

THREE PAPERS, EACH OF DURATION 90 MINUTES.

A FORMULA LIST IS NOT PROVIDED, SO ALL FORMULAE WILL BE MEMORISED DURING YEARS 7-11

How could you support your son to learn during year 10&11?
  • By encouraging him to meet all deadlines for set work
  • By ensuring he follows the revision programme of practice questions
  • By keeping a note of his password to access the on-line textbook
BACK

A LEVEL YEAR 12 & 13

Specification and Topics covered at A Level
Year 12

The study of Mathematics is grounded in the accumulation of experience and the techniques of problem-solving, and so it is important to review work continually.

Pure Mathematics [Module Papers C1 and C2]
  • Algebra and functions
  • Coordinate geometry in the (x, y) plane
  • Sequences and series
  • Trigonometry
  • Exponentials and logarithms
  • Differentiation
  • Integration
Statistics [Module Paper S1]
  • Statistical diagrams and the presentation of data
  • Measures of Central Tendency and Dispersion
  • Probability. Discrete Probability Density Functions
  • Correlation and Regression. The Normal Distribution
Examination Technique
  • Revision Programme
Further Pure Mathematics [Module Paper FP1]
  • Complex Numbers
  • Vectors
  • Matrices
  • Introduction to conic sections
  • Proof by induction
Decision Mathematics [Module Paper D1]
  • Algorithms
  • Graphs and Networks
  • Linear Programming
Further Statistics [Module Paper S2]
  • Continuous probability density functions
  • Hypothesis Testing
  • Binomial and Poisson Distributions
  • Normal Approximation
Year 13

The study of Mathematics is grounded in the accumulation of experience and the techniques of problem-solving, and so it is important to review work continually.

Pure Mathematics [Module Papers C3 and C4]
  • Cartesian and parametric equations of a curve
  • Exponential and logarithm functions, including the shape of their graph
  • Trigonometric identities and equations
  • Vectors
  • Methods of differentiation and integration
  • Approximate solutions to equations by direct iteration
Further Pure Mathematics [Module Papers FP2 and FP3]
  • Complex Numbers
  • Further vectors
  • Matrices
  • Hyperbolic functions
  • Polar graphs
  • Power series
  • Further differentiation and integration
Mechanics [Module Paper M1]
  • Equations of motion
  • Newton’s Laws
  • Application of vectors
  • Impulse
  • Conservation of linear momentum
  • Moments
Further Mechanics [Module Paper M2]
  • Projectiles
  • Application of Vectors, Impulse, Linear momentum, Moments
  • Conservation of Mechanical Energy
How will your son be assessed at A Level? 
Year 12

Homework/extra study will be set each week, usually written in exercise books; alternatively, a revision or an on-line task may be set.

Four separate file paper homeworks, at intervals during the year.

Self-assessed or peer-assessed tasks, at intervals during the year.

Short tests in October/November,December and January/ February. Content of each test based on preceding weeks’ topics/revision in Pure Mathematics and Statistics.

Trial Examinations (March/April) which will contain questions on any topic studied for Pure Mathematics and Statistics.

  • Core 1: non-calculator
  • Core 2 and Statistics 1: calculator required
Year 13:

Homework/extra study will be set each week, usually written in exercise books; alternatively, a revision or an on-line task may be set.

Four separate file paper homeworks, at intervals during the year.

Self-assessed or peer-assessed tasks, at intervals during the year.

Short tests in October/November,December and January/ February. Content of each test based on preceding weeks’ topics/revision in Pure Mathematics and Mechanics

Trial Examinations (March/April) which will contain questions on any topic studied for Pure Mathematics and Mechanics.

  • Core 3/ Core 4/ Mechanics 1: calculator required

Further Mathematics Modules.

  • FP2/ FP3. Mechanics 2: calculator required.

External Examinations 

Examination Board : Edexcel

2016 AS Three papers, each of length 1 hour 30 minutes

2016 A2 Three papers, each of length 1 hour 30 minutes

2016 AS FM Three papers, each of length 1 hour 30 minutes

2016 A2 FM Three papers, each of length 1 hour 30 minutes

How could you support your son to learn during Years 12 & 13?
  • By encouraging him to meet all deadlines for set work
  • By encouraging him to ask promptly when seeking advice
  • By ensuring he follows the revision programme of practice questions
  • YEAR 7
  • YEAR 8
  • YEAR 9
  • GCSE YEAR 10 & 11
  • A LEVEL YEAR 12 & 13

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