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:

In Autumn we Study:
Algebra
Functions
Polynomials
Coordinate Geometry
Teaching Content:
Teaching Content:
Teaching Content:
Teaching Content:
  • 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.
In Spring we Study:
Geometry
Calculus
Matrices
Coordinate Geometry
Teaching Content:
Teaching Content:
Teaching Content:
Teaching Content:
  • Use various Formulae for the Equations of 2D and 3D shapes.
  • Use Pythagoras’ 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.
In Summer we Study:

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