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.

### 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
• Inequalities (Algebra recap)
• Construction of triangles
• Fractions, decimals, percentages; Ratio problem solving

### Term 6

• Pentominoes (symmetry, rotational symmetry and enlargement)
• Revision
• 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
• Rounding and estimating
• Transformations - reflection, rotation, translation - doing and describing

### Term 3

• 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 (Algebra recap)

### Term 5

• Inequalities (Algebra recap)
• Ratio and proportion - including fractions-decimals-percentages and ratio problems
• Using calculators
• Constructions (triangles and bisectors)

### Term 6

• Calculations (including decimals)
• Revision
• Probability

## Year 9

### Term 1

• Ratio and proportion
• Angles
• Straight line graphs

### Term 2

• Algebraic structure
• Measurement and conversion - including graphs
• Rounding and estimation
• Using a calculator
• Standard form
• Enlargements

• Fractions
• Percentages
• Data

### Term 4

• Data (continued)
• Properties of number
• Pythagoras' Theorem (Trigonometry**)
• Area, Volume, surface area

### Terms 5

• Inequalities (Algebra recap)
• Compound measures
• Sequences
• Constructions and loci

### Term 6

• Revision
• Probability and logic sets

# GCSE Mathematics

## Year 10

### Term 1

• Expressions and formulas
• Solving equations (including simultaneous - 5+ target only
• Quadratics - 5+ target only
• Rounding and estimation - 3-6 target only
• Types of number and Standard Index Form - 3-4 target only

### Term 2

• Rounding and estimation - 7+ target only
• Types of number and Standard Index Form
• Error intervals (and bounds - 5+ target only)
• Transformations
• Straight Line Graphs
• Data

### Term 3

• Scale & units of measure (incl. speed, density)
• Revision
• Fractions, decimals and percentages

### Term 4

• Ratio & Proportional thinking
• Similarity
• Pythagoras' Theorem and Trigonometry

### Term 5

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

### Term 6

• Angles and problem solving
• Further Trigonometry (5+ target only)
• Venns and set notation
• Properties of shape, plans and elevations (3-4 target only)

## Year 11

### Term 1

• Functions
• Inequalities
• Real life graphs - 3-6 target only
• Surds - 7+ target only
• Iteration - 5-9 target only
• Bearings, constructions and loci
• Vectors

### Term 2

• Real life graphs - 7+ target only
• Circle Theorems - 7+ target only
• Higher Algebra and proof - 7+ target only
• Probability
• Revision

### 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