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

### 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