Analysing and Displaying Data -
collecting and analysing their own data, averages, types of data, statistical diagrams & grouped data. 

Directed Numbers -
Calculation with directed numbers including reinforcement of BIDMAS. 

Fractions - 
conversions, calculations & simplifying. 

Decimals –
rounding, calculating & converting. 

Number Skills – factors, primes, negatives & powers. 

Sequences –
looking at a range of different sequences

Linear Graphs-
Equation of a straight line. Finding the equation of parallel and perpendicular lines.  

Algebra with Indices – solving linear equations, factorising, simplifying & evaluating. 

Interpreting and representing data – Stem and Leaf, Time Series, Scatter graphs & lines of best fit. 

Number – 
fractional & negative indices. & using surds.  

Algebra –
algebraic indices, solving a range of linear equations & factorising quadratics. 

Fractions, Ratios and Percentages -  repeated percentage change & compound interest. 

Equations, functions, formulae
developing the use of symbols in formulae & expressions. 

Equations –
solving linear equations.

Angles and Shapes the properties of quadrilaterals & polygons. 

Multiplicative Reasoning –
using ratio & proportion. 

2D shapes and 3D solids circumference & area of circles & surface area, volume of prisms & cylinders. & introducing pythagoras’. 

Probability –
independent & mutually exclusive events.  

Real Life Graphs –proportion & distance-time graphs.  

Angles and Trigonometry -pythagoras’ & trigonometry.  

Graphs –
linear, quadratic, cubic & reciprocal graphs & the equation of a circle. 

Sequences –arithmetic & geometric sequences. 

Polygons –
angles in polygons. 

Perimeter, Area and Volume –
areas of triangles, quadrilaterals & compound shapes, calculating perimeter, volume & capacity.

Probability –
concept of chance & calculating the probability of an event.

Transformations –rotations, reflections, translation & enlargements.

Constructions and Loci- bisectors & loci. 

Collecting and displaying data –
developing data collection skills.

Area and Volume –prisms, cylinders, sectors, spheres, pyramids & cones. 

Transformations and Constructions – Combinations of transformations. Applications of constructions & loci. 

Sequences-
quadratic sequences.

Probability –
combined events, independent events and tree diagrams, venn diagrams & set notation.

Multiplicative Reasoning –
growth and decay, compound measures, ratio direct & inverse proportion.

Equations and Inequalities – quadratic equations, completing the square & simultaneous equations.

Circle Theorems –
angles in circles, applying circle theorems & circle theorem proofs.

Vectors and Geometric Proof –
vector arithmetic, parallel vectors & solving geometric problems.

More Algebra-
rearranging formulae, algebraic fractions, surds & function.

Similarity and Congruence – congruence, geometric proof, similarity including in 3D solids.

Further Trigonometry – Trigonometrical graphs, area of non-right- angled triangles, sine & cosine rule.

Inequalities –
representing inequalities graphically.

Further Statistics –
sampling, histograms, box plots, cumulative frequency & comparing populations.

Equations and Graphs –
Solving quadratics and cubics graphically and solving simultaneous equations graphically.

Algebraic Expressions-
indices, surds & rationalising.

Quadratics -
solving, modelling & roots.

Equations and Inequalities- simultaneous equations, quadratic & inequalities.

Graphs and Transformations –
cubics, quartics and reciprocal graphs. Revision of straight line graphs including tangents & normals.

Algebraic Methods –
factor theorem, proof & algebraic fractions.

Binomial Expansion Solving problems in non-right-angled triangles.

Solving Trigonometric Equations Data Collection -
sampling, types of data & large data set.

Measures of Location and Spread -median, IQR, mean & standard deviation.

Correlation -
correlation & regression.

Probability -
Venn diagrams & probability trees

Modelling -
Assumptions, units & vectors

Constant acceleration -
displacement time graphs, velocity time graphs, suvat, motion under gravity Forces and motion - Force diagrams, Forces as vectors, F=ma, Connected particles & pulleys.

Functions and Graphs -
modulus function, composite & inverse functions.

Trigonometric Functions-
secant, cosecant & cotangent.

Trigonometry and Modelling- double angle formulae, solving trig equations & proving trig identities.

Parametric Equations -
curve sketching and modelling with parametric equations.

Differentiation-
differentiation of trig functions and exponentials, the chain, product and quotient rules, rates of change & implicit & parametric differentiation.

Forces and Friction Continued -resolving forces & inclined planes, friction.

Moments -
resultant moments, equilibrium, &centres of mass & tilting

Normal Distribution -
finding probabilities, inverse normal, standard normal, mean and variance, approximating a binomial & hypothesis testing.

Differentiation-
differentiating polynomials, finding tangents and normals, stationary points & sketching gradient graphs.

Integration –
indefinite and definite integrals, area under curves and area between curves & lines.

Vectors-
solving geometric problems & modelling with vectors.

Circles-
equation of a circle, tangent and chord properties.

Statistical Distributions-
probability distributions &  binomial distribution

Hypothesis Testing -
binomial hypothesis testing.

Variable acceleration -
applying differentiation and integration, maxima and minima problems & constant acceleration formulae.

Integration –
integration methods, trapezium rule, solving differential equations & modelling with differential equations.

Numerical Methods –
iteration, Newton-Raphson, & applications to modelling.

Projectiles –
horizontal and vertical components, projection at any angle & projectile motion formulae.

Applications of Forces –
static particles, modelling with statics, friction and static particles, static rigid bodies, dynamics & inclined planes, connected particles.

Regression/ Correlation/ Hypothesis - 
testing-exponential models, measuring correlation & hypothesis testing.

Conditional Probability -
set notation, conditional probability, Venn diagrams, probability formula & tree diagrams.

Exponentials and logarithms – exponential modelling, laws of logs & solving equations using logarithms.

Algebraic Methods –
proof by contradiction & partial fractions.

Binomial Expansion -
expanding, approximating & using partial fractions.

Vectors in 3D -
solving 3D geometric problems& applying vectors to mechanics.

Sequences and Series -
Arithmetic and Geometric sequences, recurrence relations & sigma notation.

Normal Distribution -
finding probabilities, inverse normal & standard normal.

Forces and Friction –
Resolving forces, inclined planes & limiting friction.