Coordinate Geometry (2 dimensions only)

    AQA
    GCSE

    Coordinate Geometry in Further Mathematics extends the analysis of geometric figures beyond lines and circles to include Conic Sections (parabolas, ellipses, and hyperbolas) and alternative coordinate systems like Polar Coordinates. This topic integrates algebraic manipulation with geometric reasoning, requiring the use of calculus to determine tangents, normals, and properties of curves defined parametrically or implicitly. It serves as a fundamental framework for modelling non-linear trajectories and physical shapes in two-dimensional space.

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    Objectives
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    Exam Tips
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    Pitfalls
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    Key Terms
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    Mark Points

    Learning Objectives

    What you need to know and understand

    • Know and use the definition of a gradient; parallel and perpendicular lines; Pythagoras' theorem for distance; ratio for coordinates; equation of a straight line
    • Understand x^2 + y^2 = r^2 and (x - a)^2 + (y - b)^2 = r^2; the equation of a tangent at a point on a circle

    Key Terminology

    Essential terms to know

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