KS3
Students receive three lessons of maths per week in year 7,8 and 9. In each Year we cover the five main areas of mathematics. Number, Geometry and Measures, Ratio and Proportion, Algebra and Data Handling.
More detailed information can be found in our KS3 programme of study here
KS3 Setting
In year 7 the students are arranged into three bands; 7X, 7Y and 7Z. This reduces to two bands in Years 8 and 9.
The table below shows the change in sets from year 7 into 8.
GCSE
We are currently following AQA GCSE Specification (8300).
Summary of the key content

Year 10 Topics


Foundation

Higher

Half Term 1

Form and solve linear equations
Collecting like terms
Single brackets, common factors
Expanding double brackets
Arithmetic with negative numbers, BIDMAS
Substituting numbers into formulae and expressions
Form and solve simultaneous equations
Solving linear inequalities (1 variable), show on number line

Linear Equations (inc. fractional coefficients)
Rearranging formulae
Linear Simultaneous Equations
Multiplying Brackets (including 3 brackets)
Factorising and solving ax^{2} + bx + c = 0
Solving using the quadratic formula
Solving by completing the square

Half Term 2

Factors, multiples. HCF, LCM, Prime factor decomposition
Written methods for four ops, powers and roots
Generate terms of a sequence
Recognise wellknown sequences (see spec)
Finding nth term of a linear sequence
Plot linear graphs
Identify gradient and intercept (from graph and equation)
Graphs in real contexts (inc reciprocal)

nth Term of a Sequence (linear and quadratic)
Equations of line graphs, parallel and perpendicular lines
Interpret areas under graphs and gradients in reallife context
Quadratic Graphs, Identify roots (by factors)
Solving and representing linear inequalities graphically
Solving and representing simple quadratic inequalities graphically
Finding approx soutions to an equation using iteration

Half Term 3

Order positive/negative integers, decimals, fractions
Four ops with decimals
Convert between fractions and terminating decimals
Fractions and percentages of amounts
Rounding to a given decimal place or any sig fig, Inequality error intervals
Estimating, using a calculator

Fractions, converting to/from recurring decimals
Percentages (reverse and compound)
Ratio, proportion (direct, indirect), percentage change
Fractional and negative indices
Standard Form
Surds

Half Term 4

Use of protractor, measuring/drawing angles, scale drawing
Angles at a point, straight line, opposite, alternate, corresponding
Derive sum of angles in a triangle, angle sum in other polygons
Metric conversions (length, area, volume), compound units
Area of triangles, parallelograms, trapezia
Area and circumference of circles, compound shapes
Volume of prisms (inc. cylinders)
Pythagoras

Convert metric units in area and volume, compound units (e.g. density, pressure)
Similar shapes (inc. area and volume)
Arc lengths, area of sectors, volume and surface area
Pythagoras Theorem
RightAngle Trigonometry (in 3D)
Congruence
Circle Theorems (inc. proofs)

Half Term 5

Four ops with fractions, mixed numbers
Revision (2 weeks)
Summer Exam
Probability scale, calculating probability, sum to 1
Relative frequency, expectation
Venn diagrams, tree diagrams
Sampling, and it's limitations

Exclusive and Independent Events, AND and OR rules
Revision (2 weeks)
Summer Exam
Tree Diagrams
Relative Frequency
Constructions

Half Term 6

Frequency tables, bar charts, pie charts, Time series data
Scatter graphs
Averages and range
Plans and elevations
Construct angle of 60, perp bisector of a line/angle, loci
Bearings
Transformations (inc fractional SF) (revise equation of st. lines)

Cummulative Frequency, quartiles and box plots, compare distributions
Histograms
Mean from a grouped table
TEST
3D, coordinates, Enlargement (fractional and negative), describing combined
Distance between 2 points
Dividing a line in a given ratio (inc. midpoints)


Year 11 Topics


Foundation

Higher

Half Term 1

Simple percentages
Solution by crossmultiplying (e.g. x/2 = 3/4, 2/x = 3/4)
Percentage change, quantity as a percent of another
Percentage increase/decrease, change, reverse
Growth and decay problems, Compound interest
Ratio (simplifying, dividing a given quantity), Scale diagrams
Express a relationship between 2 quantities as a ratio or fraction
Understand and use proportion as equality of ratios
Direct and inverse proportion

Algebraic Fractions
Equations Leading to Quadratics
Simultaneous Equations with Quadratics
Completing the square and identities
Identify turning points of quadratics (by comp. square)
Equation of a circle centre (0,0), equation of tangent at given point
Upper + Lower Bounds
Vectors

Half Term 2

Basic congruence for triangles (SSS, SAS, ASA RHS)
Similar shapes, scale factors
Surface area and volume of 3D shapes (see list) ( in terms of pi)
Arc lengths, angles, sectors
Pythagoras
Rightangled trig finding sides and angles
Exact trig values
Vectors

Sine and Cosine rule, area of a triangle
Exact trig values, Graphs of Trig Functions (inc. tan x)
Trig equations and identities
Recognise and sketch cubic, reciprocal, and exponential graphs
Graph Transformations, inc exponential

Half Term 3

Index laws
Standard form
Simplifying expressions with surds
Factorising quadratics (coeff x^{2} = 1)
Solve quadratic equations by factorising
Identify roots and intercepts, turning pts of quadratics graphically
Rearranging formulae
y = mx + c, to identify parallel lines
Equationn of a line (point/line form)
Rate of change

Function notation, inverse and composite functions
Domain and range
Piecewise graphs
Rates of change (gradient of a chords/tangents of a curve)
Tangents and Normals
Recognise and use geometric sequences (where ratio can be a surd)
Set up, solve, and interpret growth and decay problems


Revision

Revision

Revision Websites
Mr Hegarty Maths
https://mathswebsite.com/register
Clearly presented videos on topics or past papers. It is possible to sign up to this website, for free, and complete videos and tasks on different topics.
Corbett Maths
www.corbettmaths.com/contents/
Clearly presented videos and additional questionscpresented in a more "exam style".
Mathed up
www.mathedup.co.uk/classes/10n2/gcsemathstakeaway/
Past exam questions arranged by topic, with an interactive quiz linked in videos and solutions.
MyMaths
Interactive lessons and worksheets which self mark. Each student has an individual login provided by the school.
www.mymaths.co.uk
The Schools Login details are as follows:
Username/Login: DJCS
Password: decimal
Assessment Details
ALevel
http://www.ocr.org.uk/qualifications/bysubject/mathematics/
Summary of Content and Assessment
AS Mathematics (Year 12)

A2 Mathematics (Year 13)

Core 1
Indices and surds
Polynomials
Coordinate geometry and graphs
Differentiation

Core 3
Algebra and functions
Trigonometry
Differentiation and integration
Numerical Methods

Core 2
Integration
Trigonometry
Sequences and series
Algebra
Integration

Core 4
Algebra and graphs
Differentiation and integration
First order differential equations
Vectors

Statistics 1
Representation of data
Probability
Discrete random variables
Bivariate Data

Mechanics 1
Force as a vector
Equilibrium of a particle
Kinematics of motion in a straight line
Newton’s laws of motion
Linear momentum

Assessment

Assessment

For each unit in the scheme, the Question Paper consists of a number of questions of different
lengths and mark allocations. The total mark for each paper is 72. Candidates attempt all questions.
Each question paper has a duration of 1 hour 30 minutes.

For each unit in the scheme, the Question Paper consists of a number of questions of different
lengths and mark allocations. The total mark for each paper is 72. Candidates attempt all questions.
Each question paper has a duration of 1 hour 30 minutes.
