.jpg)
CURRICULUM INTENT
The Avanti Maths department aims to instill a love of mathematics by developing students' conceptual understanding and fluency through varied practice and increasingly complex problems. We encourage reasoning, exploration of mathematical connections, and justification using precise language. Our goal is to ignite intellectual curiosity and prepare students for real life and future employment by challenging them to solve routine and complex problems and apply mathematics in real-world contexts.
THE AVANTI WAY
To integrate The Avanti Way into the KS5 Maths curriculum, we are focussing on:
EDUCATIONAL EXCELLENCE
by fostering deep understanding, problem-solving, and personalized learning.
CHARACTER FORMATION
encouraging resilience, a growth mindset, collaboration, and integrity in tasks.
SPIRITUAL INSIGHT
by highlighting the beauty of maths, using mindfulness for focus, and exploring the ethical impact of mathematical applications.
COURSE REQUIREMENTS (GCSE GRADES/INTERESTS)
Entry Grade requirements: Grade 8 or above
Why study this subject?
If you have a particular talent and enjoy mathematics, you should consider studying Further Mathematics. You will extend the knowledge you have gained through studying the A-level course and encounter new areas of mathematics. The mathematics covered will be helpful to students intending to study mathematics at a degree level and to any potential physicists, engineers, or computer scientists.
A Level Course content for Further Maths, you will study Core Pure Mathematics, which includes proof, algebra, matrices, more advanced work on vectors together with polar coordinates, hyperbolic functions, and more advanced methods of differentiation and integration. This combines with two other Applied options: Further Mechanics 1 and Further Statistics 1
PROGRAMME OF STUDY
Order and timing of topics throughout KS5 for Further Mathematics:
Year 12
Autumn Term 1
-
Pure: Complex numbers 1 Argand diagrams
-
Further Mechanics/Statistics: Momentum & impulse Work, Energy & Power
Autumn Term 2
-
Pure: Series Roots of polynomials Volume of revolution
-
Further Mechanics/Statistics: Elastic strings & springs
Spring Term 1
-
Pure: Matrices
-
Further Mechanics/Statistics: Elastic collisions in 1D
Spring Term 2
-
Pure: Linear transformations Proof by induction
-
Further Mechanics/Statistics: Elastic collisions in 2D
Summer Term 1
-
Pure: Vectors Differentiation
-
Further Mechanics/Statistics: Discrete random variables
Summer Term 2
-
Pure: Integration
-
Further Mechanics/Statistics: Poisson distribution
Year 13
Autumn Term 1
-
Core Pure 2: Complex Numbers 2 Series Methods in calculus
-
Further Statistics 1: Geometric & negative binomial Hypothesis testing
Autumn Term 2
-
Core Pure 2: Volume of revolution Polar coordinates
-
Further Statistics 1: Central Limit Theorem Chi-squared tests
Spring Term 1
-
Core Pure 2: Hyperbolic functions Methods in differential equations
-
Further Statistics 1: Probability generating functions
Spring Term 2
-
Core Pure 2: Modelling with differential equations
-
Further Statistics 1: Quality of tests
ASSESSMENT AND FEEDBACK
Paper 1: Core Pure Mathematics 1 – one paper of 1 hour 30 minutes (weighting of 25%)
Paper 2: Core Pure Mathematics 2 – one paper of 1 hour 30 minutes (weighting of 25%)
Paper 3: Further Mechanics 1 – one paper of 1 hour 30 minutes (weighting of 25 %)
Paper 4: Further Statistics 1 – one paper of 1 hour 30 minutes (weighting of 25 %
Throughout the 2-year course –
All students will:
-
have 2 main formal assessments throughout the year.
-
will receive feedback on how to develop their learning. This feedback will highlight both key strengths and key areas of development.
-
Regular end-of-topic testing is conducted to check understanding.
HOW PARENETS CAN HELP
Parents are requested to play a role in their child’s home learning. The list outlined suggests a few quick and easy methods for parents/carers to help and support.
-
Monitoring of their child’s work in terms of their content, presentation, and organisational skills
-
Ensure their child catches up on any work missed
-
Ensure their child is responsible for their learning by completing plenty of practice questions
HOME LEARNING & ONLINE RESOURCE
EXTRA-CURRICULAR OPPORTUNITIES
-
Year 12 UKMT Senior Maths Challenge
-
Year 13 UKMT Senior Maths Challenge
FUTURE OPPORTUNITIES
Students who want to study for a degree in Mathematics, particularly at top institutions, should do Further Mathematics. Anyone who is considering a degree in a mathematically related subject, e.g., physics, engineering, computer science, or some economics courses, would benefit from studying further mathematics.
