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. Problem solving forming and solving angle facts.
- Ratio - writing, simplifying, sharing, writing as a fraction
Term 2
- Ratio - writing, simplifying, sharing, writing as a fraction
- Calculations
- Co-ordinates, vertical and horizontal lines, tables of values, plotting graphs, y=mx+c
- Transformations - reflection, rotation and translation - doing and describing
Term 3
- Rounding and estimating
- Data handling - mean, median, mode, range, mean from a table, drawing/interpreting bar charts, scatter graphs
- Fractions - writing, simplifying, mixed and improper, calculations of amounts and problem solving
- Properties of number
Term 4
- Fractions, decimals, percentages
- Percentages (non-calculator)
- Using a calculator (including for fractions and percentages)
- Area, volume, surface area
Term 5
- Sequences
- Fractions, decimals, percentages; Ratio problem solving
Term 6
- Pentominoes (symmetry, rotational symmetry and enlargement)
- Inequalities
- Construction of triangles
- Probabliity - including two-way tables, frequency trees and Venns
Year 8
Term 1
- Fractions
- Algebra - expressions, simplifying, expanding, factorising, substitution, solving equations, problem solving
- Sequences
Term 2
- Percentages
- Fractions, decimals and percentages
- Co-ordinates and graphs
- Transformations - reflection, rotation, translation - doing and describing
Term 3
- Rounding and estimating
- Data - mean, median, mode, range, mean from a table, estimated mean, pie charts
- Properties of number
- Angles
Term 4
- Pythagoras' Theorem
- Area, surface area, volume
- Inequalities
Term 5
- Ratio and proportion - including fractions-decimals-percentages and ratio problems
- Using calculators
Term 6
- Constructions (triangles and bisectors)
- Calculations (including decimals)
- Probability
Year 9
Term 1
- Ratio and proportion
- Angles
- Straight line graphs
- Measurement and conversion - including graphs
Term 2
- Algebraic structure
- Rounding and estimation
- Using a calculator
- Standard form
- Enlargements
Term 3
- Fractions
- Percentages
- Properties of number
- Data
Term 4
- Pythagoras' Theorem
- Area
- Volume, surface area
Terms 5
- Inequalities
- Compound measures
- Sequences
Term 6
- Trigonomety calculations
- Constructions and loci
- 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 - Higher groups only)
- 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
Term 4
- Similarity
- Pythagoras' Theorem and Trigonometry
- Scale and Units of measure (incl. speed, density)
Term 5
- Perimeter and area of 2D shapes
- Volume and surface area
Term 6
- Angles and problem solving
- Sequences
- Venns and set notation
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
- Radians
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
Terms 5 & 6
- 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