Outlined below are topics covered for Edexcel Pure maths A-Level

Edexcel Pure maths A-Level consists of two papers, paper 1 and 2 are both 2 hour written exam papers which are weighted at 33.33% with a total of 100 marks. Calculators can be used.

It is advisable to check the official Edexcel Pure Maths A-Level specification for any changes.

## Contents for Pure Maths Edexcel

## Prior Knowledge

## Algebra Basics – Playlist

- Expanding a single bracket
- Expanding two or more brackets
- Squaring a bracket
- Terms in expressions and equations
- Identity or equation - what is the difference?
- Linear equations with a positive x-term
- Linear equations with a negative x-term
- Linear equations with two x-terms
- Linear equations with brackets
- Fractional linear equations

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## Algebra and Functions : 1

## Indices – Playlist

- Introduction to indices (exponents)
- Multiplication rules for indices
- Division rule for indices
- Negative indices
- Fractions raised to a negative index
- Rational (fractional) indices
- Simplifying terms with negative powers
- Expressing terms in the form ax
^{n} - Equations in which the power has to be found
- Summary of indices
- Exam Questions - Indices

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## Coordinate Geometry

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## Exam Questions – Straight Lines

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## Algebra and Functions : 2

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## Sequences and Series

## Binomial Expansion – Playlist

- Binomial expansion
- Binomial expansion formula
- Exam Questions - Binomial expansion, basic expansions
- Exam Questions - Binomial expansion, comparing coefficients
- Exam Questions - Binomial expansion, estimating a value
- Exam Questions - Binomial expansion, other
- Binomial expansion for rational powers
- Validity
- Exam Questions - Binomial expansion
- Using partial fractions with the binomial expansion
- Exam Questions - Partial fractions with the binomial expansion

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## Trigonometry

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## Exam Questions – Mixed trigonometry

## Logarithmic and Exponential Functions

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## Differentiation

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## Exam Questions – Differentiation

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## Integration

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## Integration – Common Functions – Playlist

- Integration:(ax+b)
^{n}types - Exam Questions - Integration:(ax+b)
^{n}types - Integrating exponential functions e
^{x}, e^{ax}and e^{(ax+b)} - Exam Questions - Integrating exponential functions e
^{x}, e^{ax}and e^{(ax+b)} - Integrating reciprocal functions 1/x and 1/(ax+b)
- Exam Questions - Integrating reciprocal functions 1/x and 1/(ax+b)
- Integrals of the form : f '(x)/f(x)
- Integrals of the form : f'(x)e
^{f(x)}

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## Numerical Methods

## Vectors

## Vectors – Playlist

- What is a vector and a scalar quantity?
- Vector notation 2d
- Vector notation
- Position vectors 2d
- Position vectors
- Equal and negative vectors
- Multiplying a vector by a scalar 2d
- Multiplying a vector by a scalar
- Addition and subtraction of vectors 2d
- Addition and subtraction of vectors
- Magnitude of a 2 dimensional vector
- Magnitude of a 3 dimensional vector
- Unit vectors

- circles
- chain rule
- change of sign
- completing the square
- connected rates of change
- coordinate geometry
- cosine rule
- cubic graph

- sector
- segment
- sequences and series
- sigma notation
- simultaneous equations
- sine rule
- stationary points
- straight lines
- surds

- tangents to curves
- transformations:
- graphs
- trapezium rule
- trigonometric:
- equations
- graphs
- ratios 30°, 60°, 45°
- trigonometry
- cosine rule
- cosec, sec and cot θ
- inverse functions
- sine rule
- small angles
- trigonometry – identities:
- addition formulae
- double angle formulae
- half angle formulae
- harmonic formulae
- Pythagorean
- triple angle formulae