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Coming From Key Stage 2…Units of measure, volume, area, triangles,

quadrilaterals, angles

Constructions Parts of circle

Area rectangleArea triangleDraw an angleMeasure angles Perimeter

Sectors

Area circumference

circle

Volume pyramidSine Rule

Cosine Rule

Trig graphs

Volume sphere Frustum

Pythagoras’ Theorem

Further Maths

Vector equation of a line

Centre of Mass

Volume prism

A-Level

Degree: Topology, manifolds, differential

geometry etc.

Shape Shape

S

h

a

p

e Special Quadrilaterals

AcuteObtuse

Reflex

Types triangle

Compound shapes

Vectors

Equilateral

Isosceles

Scalene

Congruence

Similar shapes

Parallel lines

Transformations

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Coming From Key Stage 2…Bar charts, averages, tally charts, pie charts

Mean

Types of data Analysing experiments

PictogramsBar chartsTallyFrequency tables

Averages

Comparative bar charts

Averages from table

Time series graphs

Comparing data setsHistograms

Independence

Outliers

Tree DiagramsCombinations

Further Maths

Standard deviation

Hypothesis testing

Binomial

Cumulative frequency

A-Level

Degree: Mathematical Biology, Student T-test, Central Limit Theorem etc.

Data Data

D

a

t

a

Median Mode

Range

Probability scale

Scatter diagram

Core Maths

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Coming From Key Stage 2…Representation of unknown numbers with letters

Solving equations with unknowns on both sides

Collecting like terms

Factorising quadratics

Substitution

Rearranging formulae

Solving simple equations

Terms Expressions

Formulae

Expand single brackets

Like terms

Algebraic ratios

Algebraic fractions

Plotting functions

Parabolas

Expanding double brackets

Area, perimeter problems

Composite, inverse

Equation circleAlgebraic

probability

Solving quadratics

CalculusFurther Maths

Coordinate geometry

Differential equations

Identifying straight line graphs

Coordinates

Expand triple brackets

A-Level

Degree: Partial Differential Equations, Proof, Analysis,

Linear Algebra etc.

Algebra Algebra

A

l

g

e

b

r

a Simplifying

Difference of two squares

Equation of a straight line

Factor theorem

Functions

Tangent to circle

Complete the square

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Coming From Key Stage 2…Place value, negative numbers, factors, multiples, primes

fractions, decimals, percentages

Fractions, decimals, percentages conversions

Prime numbers

Creating and sharing in a ratio

Estimation

Mental maths

Using percentages

Four operations with fractions

Budgeting – how much money do I have?!

Scientific calculations

Rounding Types of number Calculations

BIDMAS

Finding percentages

IntegersDecimals

Fractions

Inverse proportion

Direct Proportion

HCF and LCM

Factors, multiples

CombinationsUpper and Lower Bounds

Truncation Surds

Multipliers Savings and investments

Best buys

Income Tax

Standard Form

Further Maths Numerical

MethodsSmall angle trigonometrye

Imaginary Numbers

Complex Numbers

Operations with

matrices

Bank accounts

InterestSquare, cube, triangular numbers

Recurring decimals

Irrational numbers

Negative numbers

APRAER

A-Level

Core Maths

Degree: p-adicnumbers, set theory, axiom of choice, surreal numbers etc.

Number Number

N

u

m

b

e

r