Mathematics
Subject Leader: Mr Thatcher - tthatcher@tqacademy.co.uk
AIMS OF THE MATHEMATICS DEPARTMENT
- Develop Foundational Skills and Problem-Solving: This is the bedrock of mathematics. Students gain a strong understanding of core concepts like number operations, algebra, geometry, and statistics. We have a belief that everyone can at least pass (Grade 4) in GCSE Mathematics.
- Foster Critical Thinking and Analytical Abilities: Maths goes beyond memorisation. It teaches students to think critically, analyse situations, and approach problems from different angles.
- Prepare for Future Opportunities: Mathematics is a powerful tool used across various disciplines. A strong foundation in maths equips students for success in higher-level mathematics, science, engineering, finance, and many other fields. It also prepares them for a world increasingly reliant on data analysis, critical thinking, and problem-solving skills.
MATHEMATICS CURRICULUM
OVERVIEW OF KEY STAGE 3 CURRICULUM
The Torquay Academy maths team prioritises student success by fostering a strong foundation in Mathematics Mastery throughout the Key Stage 3 (KS3) curriculum. This approach emphasises core mathematical concepts alongside the development of critical thinking and problem-solving skills. By equipping students with a deep understanding of fundamentals and the ability to apply them creatively, Torquay Academy ensures students are well-prepared for not only higher-level mathematics but also its applications across various disciplines.
OVERVIEW OF KEY STAGE 4 CURRICULUM
Course Title: GCSE Mathematics
Examining Body: Edexcel
Course Lead: Mr Thatcher
What will I study?
GCSE Maths will equip you with the essential mathematical skills needed for further study and everyday life. You'll solidify your understanding of number operations, algebra, geometry, and statistics. Mastering these fundamentals allows you to solve problems with confidence, analyse data, and interpret charts and graphs. You'll also explore topics like probability, ratio and proportion, and basic trigonometry, all of which pave the way for more advanced mathematical concepts.
How and when will I be assessed?
GCSE Maths is assessed entirely through exams at the end of the course.
GCSE Maths has three papers all equally weighted. Each paper is out of 80 marks, leading to a total out of 240. Your grade is created from your total score. Grade boundaries vary year on year out based on national averages.
- Paper 1 80 marks 1.5 hrs, non calculator.
- Paper 2 80 marks 1.5 hrs calculator allowed
- Paper 3 80 marks 1.5 hrs calculator allowed.
Further study
If you enjoy maths and looking for A-level subjects that utilise your skills, here are some excellent options, categorised by area:
Maths and Further Maths: These two rigorous options specifically expands on core maths concepts learnt at KS4 and introduces new areas like mechanics, statistics, and decision mathematics. It's ideal for those aiming for highly mathematical degrees.
Science & Engineering:
- Physics: This fundamental science relies heavily on mathematical modelling and problem-solving. A strong understanding of calculus, mechanics, and algebra is crucial.
- Chemistry: While often thought of as an experiment-based subject, chemistry involves significant mathematical modelling to analyse reactions, predict outcomes, and understand chemical processes.
- Computer Science: At A-level, computer science delves into algorithms, data structures, and computational complexity, all requiring strong mathematical foundations.
Economics & Finance:
- Economics: This subject explores economic models, analyses market trends, and utilises statistical tools. It heavily relies on mathematical modelling and data interpretation.
- Accounting: While accounting involves financial statements and bookkeeping, understanding complex calculations and applying mathematical principles are essential for success at A-level.
Other Options:
- Statistics: This subject dives deep into data analysis, probability, and statistical models. It's ideal for those interested in data science, research, and quantitative fields.
- Psychology: While not as heavily reliant on maths as science subjects, A-level psychology incorporates statistical analysis and research methods that benefit from strong mathematical skills.
OVERVIEW OF KEY STAGE 5 CURRICULUM
Course Title: A Level Mathematics
Examining Body: Edexcel
Course Lead: Mrs Dipode
Course description
A level Mathematics is one of the most popular A-Level subjects at TA. It will allow students to further their knowledge and understanding of challenging mathematical concepts.
A level Mathematics is an exciting and challenging subject which can be studied for its own sake or to support a range of other subjects. Mathematics lies at the heart of all technological innovations of recent years and is highly valued by both universities and employers.
What will I learn?
You will study both pure and applied mathematics.
Pure Maths is the study of algebra, trigonometry, geometry and calculus and is essential for both the understanding of the subject and to provide the tools to deal with real life applications. This comprises two thirds of the course content.
Applied Maths is the study of the way in which Maths is used in life and covers one third of the course content. You will deepen your knowledge of statistics gained at GCSE covering probability, representing and interpreting data and hypothesis testing.
Mechanics is important for anyone considering a career in engineering, design or architecture and allows you to apply the knowledge gained in the pure side of the course to real life situations. You will explore kinematics, applications of calculus, forces and Newton’s laws.
Course structure
You will sit 3 exams at the end of the course (each 33.33% of the qualification:
- Pure Mathematics 1 (2 hours, 100 marks)
- Pure Mathematics 2 (2 hours, 100 marks)
- Statistics & Mechanics (2 hours, 100 marks)
Calculators can be used in assessments.
Where could it lead?
Course Title: A Level Further Mathematics
Examining Body: Edexcel
Course Lead: Mrs Dipode
Course description
Further Mathematics involves studying many exciting new ideas alongside further deepening your understanding of the A-Level Mathematics course. This course is designed for students who enjoy exploring the world of mathematics and who have a real passion for the subject.
It is particularly useful for anyone considering a career in maths, engineering, electronics, economics or accountancy.
Please note, it must be studied alongside A level Mathematics.
What will I learn?
Pure Maths comprises 50% of the course. You will study many new areas such as matrices, complex numbers, proof by induction, hyperbolic functions whilst also depending your understanding of vectors, graphs, further algebra, series, calculus, and differential equations.
For the other half of the course you will explore applied modules in Statistics and Decision. Whilst statistics will be familiar and further develop concepts from A-Level Mathematics, Decision is something new. You will begin to understand how decisions are made, how do computers sort numbers, how do companies pack lorries in the most efficient way possible, how can you maximise profit, how can you find the quick pathway through a network of roads? Decision mathematics, often referred to as Operational Research underpins many of the real world decisions made in business today and will provide a new dimension to your mathematics education.
Course structure
You will sit 4 exams at the end of the course (each 25% of the qualification:
- Core Pure Mathematics 1 (1 hour 30 minutes, 75 marks)
- Core Pure Mathematics 2 (1 hour 30 minutes, 75 marks)
- Decision Mathematics 1 (1 hour 30 minutes, 75 marks)
- Further Statistics 1 (1 hour 30 minutes, 75 marks)
Calculators can be used in assessments.
Where could it lead?
A Level Further Maths, like A Level Maths, opens up a wide range of career options. It forms the basis for many other subjects and is fascinating in its own right. It can lead to a variety of fulfilling careers from engineering, design and architecture to philosophy, geography and even careers in music and the media.
It is particularly useful for anyone considering a career in maths, engineering, electronics, economics or accountancy.
CLIMBING THE MOUNTAIN TO UNIVERSITY
Top 5 UK universities to study Mathematics:
- University of Cambridge: World-class reputation, rigorous program, leading researchers.
- University of Oxford: Renowned institution, broad curriculum, emphasis on problem-solving.
- Imperial College London: Focuses on maths for science, engineering, and medicine.
- University of Warwick: Leading research university with diverse maths programs (pure, applied, statistics).
- University of Edinburgh: Historic university, strong reputation, offers international study opportunities.
CAREERS INFORMATION
A strong foundation in mathematics opens doors to a multitude of lucrative and intellectually stimulating careers. Here are three exciting options to consider:
- Actuary (Average Salary: £70,000+): Mathematicians with a keen interest in finance and risk analysis can thrive as actuaries. They analyse data to assess risks in areas like insurance, pensions, and investments. Actuaries are highly sought after, with their average salaries reflecting their expertise.
- Data Scientist (Average Salary: £50,000 - £100,000+): In our data-driven world, data scientists are in high demand. They use advanced mathematical modelling and statistical analysis to extract insights from vast datasets. This expertise helps businesses make informed decisions, improve efficiency, and develop innovative products. Data scientist salaries vary depending on experience and industry, with the potential to earn significantly above the average.
- Quantitative Analyst (Average Salary: £60,000 - £120,000+): For those fascinated by finance and mathematical modelling, quantitative analysts (quants) are a perfect fit. They apply complex mathematical models to analyse financial markets, identify trading opportunities, and manage investment risks. This challenging and rewarding career path offers excellent earning potential, with salaries often exceeding the average.
EXTRACURRICULAR OPPORTUNITIES
Students can Challenge themselves in Maths Challenges. Team up for Team Maths Challenges. Sharpen problem-solving skills on Problem Solving Days.
Those who just want to do a bit more maths in their own time can aim to complete their XP Boost and Target on the Sparx Maths platform. New pieces are released every Wednesday during term time.
