### Overview:

In Further Maths, Year 11 students have 4 lessons each week.

Year 11 students will receive one 30-40 minutes piece of Maths homework each week. In addition, due to the complexity of the course, independent study is considered essential in order to achieve excellent results.

### Curriculum:

- Simplify Equations
- Solve Linear Equations.
- Use the Binomial Expansion.
- Understand the Product Rule for Counting.
- Manipulate Surds.
- Factorise Quadratics and other Expressions.
- Rearrange Formulae.
- Simplify Algebraic Fractions.
- Complete the Square with Quadratic Functions.

- Use Function Notation.
- Describe the Domain and Range of a Function.
- Use Composite Functions.
- Utilise Graphs of Functions, including Linear and Quadratic functions.
- Understand and Calculate the Inverse of Functions.
- Use Exponential Functions.

- Solve Quadratic Equations.
- Solve Simultaneous Equations in two and three unknowns.
- Use the Factor Theorem.
- Solve and demonstrate Linear and Quadratic Inequalities.
- Calculate and simplify expressions involving Indices.
- Work out and use properties of Sequences, including quadratic sequences.
- Reproduce and theorise Algebraic Proofs.

- Understand and use Parallel and Perpendicular Lines.
- Calculate the distance between two points.
- Work out the Midpoint of a Line.
- Use the Equation of a Straight Line.
- Calculate the Intersection of two Lines.
- Divide a Line into a given Ratio.
- Use the Equation of a Circle.

- Use various Formulae for the Equations of 2D and 3D shapes.
- Use Pythagorasâ€™ Theorem.
- Know Angle facts, such as with Parallel Lines.
- Know and use Circle Theorems.
- Understand Geometric Proof.
- Use simple Trigonometry, recalling values of specific Angles.
- Using Trigonometry outside of Triangles.
- Understand and Reproduce the Sine, Cosine and Tangent curves.
- Solve Trigonometry Equations.
- Learn and utilise Trigonometric Identities.
- Learn and Use the Sine Area Rule, the Sine Rule and the Cosine Rule.
- Use Trigonometry in Three Dimensions.

- Use Differentiation to calculate Gradients of Curves.
- Demonstrate Differentiation from First Principals.
- Use Differentiation to calculate the Normal of a Curve.
- Calculate the Second Derivative.
- Calculate Stationary Points.

- Understand the use of Matrices.
- Calculate Multiplying Matrices.
- Use Matrices to apply Transformations.
- Combining Matrix Transformations.
- Calculate and simplify expressions involving Indices.
- Work out and use properties of Sequences, including quadratic sequences
- Reproduce and theorise Algebraic Proofs.

- Understand and use Parallel and Perpendicular Lines.
- Calculate the distance between two points.
- Work out the Midpoint of a Line.
- Use the Equation of a Straight Line.
- Calculate the Intersection of two Lines.
- Divide a Line into a given Ratio.
- Use the Equation of a Circle.

By this point in the academic year, we have completed the course content and we are focusing on revision, exam technique and pace.

### Assessments:

At the end of the course, students will sit 2 papers.

Both papers include a formula sheet.

Paper 1 is Non-Calculator and Paper 2 is a Calculator paper.

Both Papers consider a mix of question styles, from short single-mark questions to multi-step problems. The mathematical demand increases as a student progresses through the papers.

- Each papers are written exams: 1 hour and 45 mins each
- 80 marks Each
- Each paper corresponds to 50% of the AQA Level 2 Certificate in Further Mathematics assessment

### Resources:

AQA Further Maths Specification - Link