Quadratics and Cubics

AQA 'A' Level Year 1

Why should you take this course?

Quadratics and cubics, which are specific types of equations in algebra, are fundamental for several reasons:

Understanding relationships: They model many real-world phenomena with curved relationships. For example, quadratics describe the trajectory of a projectile in motion (think throwing a ball), and cubics can represent the growth of a population over time.

Problem-solving tools: Knowing how to solve quadratic and cubic equations allows you to find important information in these situations. Imagine designing a ramp for skateboarding – you'd use quadratics to figure out the right height for a smooth curve.

Foundation for more math: These concepts are building blocks for higher math. Understanding quadratics is crucial for pre-calculus and calculus, which are vital for many technical fields.

Applications across disciplines: They show up in various fields like physics (motion, forces), engineering (design, optimization), economics (modelling costs, supply and demand), and even computer graphics (creating smooth curves).Even if you don't directly use quadratics and cubics in your future career, studying them strengthens your:

Algebraic foundation: Grasping these concepts reinforces your understanding of variables, equations, and manipulating expressions – essential for any future math.

Analytical thinking: Solving these equations requires you to break down problems, analyse relationships, and find solutions - valuable skills in any field

Problem-solving approach: The process of working through quadratics and cubics teaches you a structured approach to solving problems, which is applicable to many situations.

In short, quadratics and cubics might seem theoretical, but they are the language used to understand and solve problems involving curved relationships in many aspects of the world around us. They also provide a strong foundation for further study and develop valuable problem-solving skills.