Analysing and Displaying Data- collecting and analysing their own data

Number Skills – factors, primes, negatives

Equations, functions, formulae- developing the use of symbols in formulae and expressions

Fractions – conversions, calculations, simplifying

Algebra with Indices Constructions and Loci- bisectors and loci

2D shapes and 3D solids- circumference and area of circles and surface area and volume of prisms and cylinders. Introducing Pythagoras’

Probability –independent and mutually exclusive events

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

Number –fractional and negative indices. Using surds.

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

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

Decimals – rounding, calculating, converting

Equations and straight line graphs – solving linear equations

Angles and Shapes – the properties of quadrilaterals and polygons

Multiplicative Reasoning – using ratio and proportion

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

Transformations –rotations, reflections, translation and enlargements

Sequences – linear and geometric sequences

Angles and Trigonometry - Pythagoras’ and trigonometry

Graphs – linear, quadratic, cubic and reciprocal graphs. The equation of a circle

Sequences- quadratic sequences

Sequences –arithmetic and geometric sequences

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

Probability –concept of chance and calculating the probability of an event

Scale drawing – practical work on drawing to suitable scales

Real Life Graphs –proportion, distance-time graphs

Scale Drawings and Measures – Bearings, scales and ratio. Identifying congruent and similar shapes

Collecting and displaying data – developing data collection

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

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

Probability – Combined events, independent events and tree diagrams, venn diagrams and set notation

Multiplicative Reasoning – Growth and decay, compound measures, ratio direct and 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 and function

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

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

Inequalities – representing inequalities graphically

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

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

Algebraic Expressions- indices, surds, rationalising.

Quadratics- solving, modelling and roots.

Equations and Inequalities- simultaneous equations, quadratic inequalities.

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

Trigonometric Functions- secant, cosecant and cotangent

Trigonometry and modelling- double angle formulae, solving trig equations and 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 and 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 and lines.

Vectors- solving geometric problems and 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 and 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 and solving equations using logarithms.

Algebraic Methods – proof by contradiction, partial fractions.

Binomial Expansion- expanding, approximating and using partial fractions

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

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

Normal Distribution- finding probabilities, inverse normal, standard normal

Forces and Friction – Resolving forces, inclined planes, Limiting friction