Mathematical definitions are essential to GCSE Mathematics as they provide a precise and unambiguous way of describing mathematical concepts, properties, and relationships. In this context, mathematical definitions are used to describe and clarify mathematical terms and concepts in an easily understandable and consistent way.

A clear understanding of mathematical definitions is essential for students to communicate mathematically and develop problem-solving skills. In addition, they provide a foundation for more complex mathematical concepts and are critical in developing mathematical reasoning and logical thinking skills.

Some common examples of mathematical definitions that students encounter in GCSE Mathematics include:

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Number Sets: Real numbers include all rational and irrational numbers. The symbol R denotes it.
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Proportions: Two quantities are said to be in proportion if they have a constant ratio. For example, a:b = c:d is a proportion, where a, b, c, and d are real numbers.
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Geometric Shapes: A circle is a set of all points in a plane that are equidistant from a given point called the centre.
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Angles: An angle measures the amount of turn between two lines or rays that meet at a common endpoint.
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Functions: A function is a set of ordered pairs in which each element of the first set corresponds to exactly one part in the second set. For example, f(x) = x2 is a function.