At Wallingford we aim to provide our students with opportunities to become flexible thinkers and confident Mathematicians. We do this by allowing time to practise arithmetic skills, allowing students to become fluent with number. We emphasise the importance of acquiring knowledge and being able to recall it through frequent, low-stakes quizzes. Students are asked to apply their knowledge to problems that require multiple steps to reach a solution. We want our students to express themselves clearly, through contributions in class and their written work.

KS3 Mathematics

Year 7

Term 1

• Algebra - simplifying, expressions, substitution (directed numbers and powers), solving equations, forming equations
• Angles - measuring and drawing, angle facts, calculating missing angles with reasons
• Percentages

Term 2

• Ratio - writing, simplifying, sharing, writing as a fraction
• Fractions
• Transformations - reflection, rotation, translation

Term 3

• Calculations
• Data handling - mean, median, mode, range, mean from a table, drawing/interpreting bar charts, scatter graphs
• Fractions, decimals, percentages

Term 4

• Coordinates, vertical and horizontal lines, tables of values, plotting graphs, y=mx+c
• Fractions-decimals-percentages and ratio - problem solving
• Using a calculator
• Area, volume, surface area

Term 5

• Sequences
• Revision/exams
• Calculations

Term 6

• Pentominoes
• Properties of number
• Probability - two way tables, frequency trees, venn diagrams
• Calculations, puzzles, problem solving

Year 8

Term 1

• Percentages
• Algebra - expressions, simplifying, expanding, factorising, substitution, solving equations, problem solving
• Angles

Term 2

• Fractions
• Ratio and proportion - including fractions, decimals, percentages and ratio problems
• Transformations - reflection, rotation, translation

Term 3

• Rounding and estimating
• Data handling - mean, median, mode, range, mean from a table, estimated mean, pie charts
• Inequalities
• Angles

Term 4

• Area, surface area, volume
• Sequences
• Coordinates and graphs

Term 5

• Pythagoras' Theorem
• Revision/exams

Term 6

• Constructions
• Calculations
• Probability
• Fractions, decimals, percentages

Year 9

Term 1

• Angles
• Percentages
• Algebraic Structure

Term 2

• Ratio and Proportion
• Fractions
• Measurements and conversion - including graphs
• Rounding and estimation (including bounds)
• Enlargements

Term 3

• Data
• Using a calculator
• Standard form
• Straight line graphs
• Sequences

Term 4

• Inequalities
• Compound measures
• Area
• Volume, surface area

Terms 5

• Pythagoras' Theorem
• Revision/exams
• Trigonometry

Term 6

• Constructions and loci
• Properties of number
• Probability and logic sets

GCSE Mathematics

Year 10

Term 1

• Types of number and SIF (Standard Index Form)
• Rounding and estimation
• Error intervals and bounds
• Expressions and formulas
• Solving equations (including simultaneous) - Higher groups only

Term 2

• Solving equations
• Quadratics - Higher groups only
• Transformations
• Number and calculations
• Data

Term 3

• Fractions, decimals, percentages
• Ratio and proportional thinking
• SLG - Higher only

Term 4

• SLG
• Similarity
• Pythagoras' Theorem and Trigonometry

Term 5

• Perimeter and area of 2D shapes
• Volume and surface area

Term 6

• Volume and surface area - Higher groups only
• Angles and problem solving
• Scale and units of measure (incl. speed, density)
• Sequences
• Venns and set notation - Foundation only

Year 11

Term 1

• Functions
• Inequalities
• Real life graphs
• Surds - Higher only
• Bearings, constructions and loci
• Vectors

Term 2

• Error intervals and bounds - Higher groups only
• Circle Theorems - Higher only
• Iteration - Higher groups only
• Higher Algebra and proof - higher only
• Venn and set notation - higher groups only
• Probability

Term 3

• Advanced graphs - higher groups only
• Data collection and sampling

Terms 4, 5 and 6

• Revision and exams

A Level Mathematics

Year 12

Term 1

• Algebraic expressions - basic algebraic manipulation, indices, surds
• Quadratics - factorising, solving, graphs and the discriminant
• Equations and inequalities - quadratic / linear simultaneous, linear and quadratic inequalities
• Graphs and transformations - cubic, quartic and reciprocal graphs, transforming graphs - f(x) notation
• Straight line graphs - Parallel / perpendicular lines, length and area problems
• Circles - equations of a circle, geometric problems on a grid

Term 2

• Algebraic methods - algebraic division, factor theorem and proof
• Binomial expansion - understand and use (ax+b)n and find unknown
• Differentiation - differentiating polynomials, second derivates, gradients, tangents, normals, maxima and minima
• Integration - integration of xn, definite integrals, area under curves
• Vectors - calculate magnitude and direction, multiply by scala, add and subtract, distance between two points

Term 3

• Modelling in mechanics
• Constant acceleration - kinematics, derive SUVAT
• Forces and motion - concept of force, Newton's laws, connected particles
• Variable acceleration - displacement, velocity, acceleration, use differentiation, integration and calculus to solve kinematic problems

Term 4

• Vectors
• Trigonometric identities and ratio
• Exponentials and logarithms - know and use ax, ex, log laws, inverse functions
• Representations of data - histograms, cumulative frequency, box plots
• Mean, mode, median, percentiles, range, variance, SD and coding
• Correlation - scatter diagrams, coefficient of regression

Term 5

• Probability - Venn, mutually and independent events, tree diagrams
• Statistical distributions - discrete probability distributions, binomial distribution - individual and cumulative
• Hypothesis testing - samples, critical values, binomial-one and two tailed

Term 6

• Trig functions
• Algebraic methods
• Binomial expansion

Year 13

Term 1

• Functions and graphs
• Sequences and series
• Trigonometry and modelling
• Differentiation

Term 2

• Integration
• Regression, correlation and hypothesis testing
• Conditional probability
• Normal distribution
• Numerical methods

Term 3

• Parametric equations
• Vectors
• Moments
• Forces and friction
• Projectiles

Term 4

• Application of forces
• Further kinematics

• Revision
• Exams

A Level Further Mathematics

Core Pure Mathematics

• Complex Numbers
• Argand Diagrams
• Series
• Roots of Polynomials
• Volumes of Revolutions
• Matrices
• Linear Transformations
• Proof by Induction
• Vectors
• Methods in Calculus
• Polar Coordinates
• Hyperbolic Functions
• Methods in Differential Equations
• Modelling with Differential Equations

Decision Mathematics

• Algorithms
• Graphs and Networks
• Algorithms on Graphs
• Route Inspection
• The Travelling Salesman Problem
• Linear Programming
• The Simplex Algorithm
• Critical Path Analysis

Further Mechanics

• Momentum and Impulse
• Work, Energy and Power
• Elastic Strings and Springs
• Elastic Collisions in One Dimensions
• Elastic Collisions in Two Dimensions