# Level 2 Further Maths

**AQA Level 2 Certificate in Further Mathematics**

The Level 2 Certificate in Further Mathematics qualification is designed to extend high achieving students by further developing their mathematical skills. It stretches and challenges them on content studied in their GCSE Mathematics qualification, in particular algebra and geometry, while also introducing them to calculus and matrices.

The course is intended for students who are expected to achieve a high GCSE Mathematics grade and who are likely to progress to studying Mathematics at A-Level and possibly Further Mathematics. (Please note that this qualification is not a pre-requisite for studying Mathematics or Further Mathematics at A Level)

**Key Concepts and Themes**

- Expanding binomials using Pascal's triangle
- Circle theorems - writing rigorous geometric proofs
- Further factorisation
- Further completing the square
- Solving linear and quadratic equations

**Vocabulary**

- Binomial coefficient
- Alternate segment
- Subtend
- Factorise

**Key Concepts and Themes**

- Equations of straight lines including parallel and perpendicular lines.
- Domain and range of functions.
- Composite functions.
- Inverse functions.
- Simplifying and solving algebraic fractions.
- Differentiation of polynomials.
- Finding the gradient of a curve at a point.
- Sketching linear, quadratic and exponential functions and piece-wise functions.

**Vocabulary**

- Domain
- Range
- Derivative
- Exponential

**Key Concepts and Themes**

- Changing the subject of formulae.
- Identities and equating coefficients.
- Rationalising the denominator.
- Solving equations involving indices.
- General equation of a circle.
- Equations of tangents and normals to circles.

**Vocabulary**

- Identity
- Rationalise
- Tangent
- Normal

**Key Concepts and Themes**

- Solving linear and non-linear simulatenous equations.
- Solving a system of linear equations with three unknowns.
- Addition and scalar multiplication of matrices.
- Matrix multiplication.
- Further problem solving with trignometry.
- Solving trigonometric equations.
- Trigonometric identities.

**Vocabulary**

- Matrix
- Dimension
- Identity matrix
- Identities

**Key Concepts and Themes**

- Limiting value of sequences.
- Nth term of sequences.
- Factor theorem.
- Representating single and combined transformations using matrices.
- Equations of tangents and normals to curves.
- Using calculus to find stationary points.
- Optimisation problems.
- Sketching functions.

**Vocabulary**

- Limit
- Factor
- Transformation
- Unit square
- Tangent
- Normal
- Stationary point
- Increasing/decreasing function
- Maximum / Minimum point
- Optimisation

Further information about the content of the course can be found using the links on the right hand side of this page.

## Related Downloads

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