Osman Idris

Osman Idris                  :  Head of Department

Ashley Normansell       : Teacher of Mathematics

Maria Cottam               :  Teacher of Mathematics

Lana Aziz                       :  Teacher of Mathematics

Joan O’Reilly                  :  Teacher of Mathematics

Fiona Davidson             :  Teacher of Mathematics

Shanaz Kerber               :  Teacher of Mathematics

Helen Grimes                 :  Teacher of Mathematics

Osman Idris   : oidris@englishcollege.ac.ae

Ashley Normansell   : anormansell@englishcollege.ac.ae

Maria Cottam    : mcottam@englishcollege.ac.ae

Lana Aziz     :     laziz@englishcollege.ac.ae

Joan O’Reilly    : joreilly@englishcollege.ac.ae

Fiona Davidson   : fdavidson@englishcollege.ac.ae

Shanaz Kerber   : skerber@englishcollege.ac.ae

Helen Grimes  :  hgrimes@englishcollege.ac.ae

The English College Maths Department is keen to ensure that all students leave the School with confidence in their mathematical abilities, an ability to think creatively and flexibly, and an appreciation for the subject. This is achieved through a wide range of teaching methods and resources, from students working in groups at whiteboards, to explorations into the application of mathematics in real life, to the use of cutting-edge technology, as well as formal and clear teacher-led learning.

All students from year 7 through to year 11 are set by ability to help ensure students are taught and supported at the appropriate level. All sets will study the GCSE 9-1 syllabus and will still cover the same material the main difference will be the pace, in order to ensure all students are given adequate time to secure their understanding in specific topics.

  YEAR 7 YEAR 8
HALF TERM 1 Number system, HCF & LCM, Powers & Roots, Fractions & Decimals, Negative numbers, Place Value, BIDMAS, Prime factors, HCF & LCM, Significant figures, Standard form, calculating with negative numbers, BIDMAS, Plans and elevation, Enlargement, Bearings,
HALF TERM 2 Construction SSS SAS ASA, Area & perimeter of basic shapes, 3D shapes, algebraic expressions, formula, collecting like terms Introduction to probability, theoretical probability, probability scales, simplifying algebraic expressions, laws of indices, rearranging equations and formula, substitution
HALF TERM 3 Fractions, decimals & percentages, Ratio and proportion, sequences, Recurring and terminating fractions, converting fractions, decimals and percentages, solving problems involving speed, distance and time. Sequences, Nth term
HALF TERM 4 Metric units, length, mass, capacity, time and money calculations, angles, calculating with fractions and decimals Interior and exterior angles, solving problems involving percentages and simple interest, solving linear equations,
HALF TERM 5 Equations and inequalities, area of 2D shapes, volume and surface area, estimation, significant figures and rounding Calculating the area and circumference of circles, volume of cylinder, sketching and plotting qraphs, linear and quadratic graphs, distance-time graphs, probability, two-way table, venn diagrams
HALF TERM 6 Transformations, co-ordinates, presenting data, averages, interpreting data Presenting data, histograms, scatter graphs, averages from frequency tables, interpreting data.
Unit Title Estimated hours  
1 a Calculations, checking and rounding 7 YEAR 9
b Indices, roots, reciprocals and hierarchy of operations 8
c Factors, multiples and primes 6
d Standard form and surds 6
2 a Algebra: the basics 8
b Setting up, rearranging and solving equations 8
c Sequences 6
3 a Averages and range 7
b Representing and interpreting data 8
c Scatter graphs 5
4 a Fractions 8
b Percentages 8
c Ratio and proportion 8
5 a Polygons, angles and parallel lines 8
b Pythagoras’ Theorem and trigonometry 8
6 a Graphs: the basics and real-life graphs 7
b Linear graphs and coordinate geometry 10
c Quadratic, cubic and other graphs 8
7 a Perimeter, area and circles 8
b 3D forms and volume, cylinders, cones and spheres 8
c Accuracy and bounds 6
8 a Transformations 8  YEAR 10
b Constructions, loci and bearings 8
9 a Solving quadratic and simultaneous equations 8
b Inequalities 6
10 Probability 10
11 Multiplicative reasoning 8
12 Similarity and congruence in 2D and 3D 8
13 a Graphs of trigonometric functions 6
b Further trigonometry 10
14 a Collecting data 6
b Cumulative frequency, box plots and histograms 7
15 Quadratics, expanding more than two brackets, sketching graphs, graphs of circles, cubes and quadratics 8
16 a Circle theorems 7
b Circle geometry 6
17 Changing the subject of formulae (more complex), algebraic fractions, solving equations arising from algebraic fractions, rationalising surds, proof 8 YEAR 11
18 Vectors and geometric proof 10
19 a Reciprocal and exponential graphs; Gradient and area under graphs 8
b Direct and inverse proportion 8
REVISION UNITS 1-19

A level Mathematics

Students of our Edexcel A level in Maths will develop an understanding of mathematics and mathematical processes, develop the ability to reason logically and construct mathematical proofs, and understand coherence and progression in mathematics and how different areas of mathematics can be connected.

Compulsory units
CORE 1 CORE 2 CORE 3 CORE 4
Algebra and functions; coordinate geometry in the (x, y) plane; sequences and series; differentiation; integration. Algebra and functions; coordinate geometry in the (x, y) plane; sequences and series; trigonometry; exponentials and logarithms; differentiation; integration Algebra and functions; trigonometry; exponentials and logarithms; differentiation; numerical methods. Algebra and functions; coordinate geometry in the (x, y) plane; sequences and series; differentiation; integration; vectors
Optional content
STATISTICS 1 STATISTICS 2 MECHANICS 1 MECHANICS 2
Mathematical models in probability and statistics; representation and summary of data; probability; correlation and regression; discrete random variables; discrete distributions; the Normal distribution. The Binomial and Poisson distributions; continuous random variables; continuous distributions; samples; hypothesis tests. Mathematical models in mechanics; vectors in mechanics; kinematics of a particle moving in a straight line; dynamics of a particle moving in a straight line or plane; statics of a particle; moments. Kinematics of a particle moving in a straight line or plane; centres of mass; work and energy; collisions; statics of rigid bodies.

Level 3 mathematical studies

In September 2016 we will be introducing a new Level 3 Mathematics course.  The Level 3 Mathematical Studies (Core Maths) is a new qualification designed for students who have achieved a grade 5/6 or above at GCSE. It will help to develop students’ mathematical skills and thinking and supports courses such as A-level Psychology, Sciences, Business studies and Geography as well as technical and vocational qualifications.

Compulsory units
3.1 Analysis of data

3.2 Maths for personal finance

3.3 Estimation

3.4 Critical analysis of given data and models (including spreadsheets and tabular)

 

Optional content
3.5 The normal distribution

3.6 Probabilities and estimation

3.7 Correlation and regression

 

Paper 2A: Statistical techniques What’s assessed:

• 3.4 • 3.5 • 3.6 • 3.7

3.8 Critical path and risk analysis

3.9 Expectation

3.10 Cost benefit analysis

 

Paper 2B: Critical path and risk analysis

What’s assessed:

• 3.4 • 3.8 • 3.9 • 3.10

3.11 Graphical methods

3.12 Rates of change

3.13 Exponential functions

 

Paper 2C: Graphical techniques

What’s assessed:

• 3.4 • 3.11 • 3.12 • 3.13