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Ribston Hall High School

Ribston HallHigh School

 

Key Stage 3 

We believe everyone can succeed in Mathematics through perseverance, enjoyment and developing resilience in the face of challenge. Through our curriculum, we aim to nurture confident mathematical communicators. We teach the National Curriculum and provide challenge through developing problem- solving skills, supporting students independent thinking and promoting mathematical reasoning.

  Year 7 Year 8 Year 9
Autumn

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

Spring

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

Summer

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

 

  

Key Stage 4 

We believe everyone can succeed in Mathematics through perseverance, enjoyment and developing resilience in the face of challenge. Through our curriculum, we aim to nurture confident mathematical communicators. We enter students for the Edexcel GCSE at Higher level and provide challenge through developing problem- solving skills, supporting students independent thinking and promoting mathematical reasoning.

  Year 10 Year 11
Autumn

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

Spring

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

Proportion and Graphs – Direct and Inverse proportion, exponential functions, non-linear graphs, transforming graphs of functions
Summer

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

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

 

 

 

Key Stage 5 

We believe everyone can succeed in Mathematics through perseverance, enjoyment and developing resilience in the face of challenge. Through our curriculum, we aim to nurture confident mathematical communicators. We teach the Edexcel A level and provide challenge through developing problem-solving skills, supporting students independent thinking and promoting mathematical reasoning.

  Year 12 Year 13
Autumn

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

Spring

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

Summer

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

Further Kinematics – vectors in kinematics, vector methods with projectiles, variable acceleration, differentiating and integrating vectors