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LearnAQA7357First teaching 2017Paper 1 · PureCoordinate geometry

Paper 1 · Module

Coordinate geometry

4 subtopics≈ 155 min in total

Start the module: Gradient, length, midpoint and equations of lines Open graphing calculator

Gradient, length, midpoint and equations of lines
The three measurements of a line segment (gradient, length and midpoint), the three forms of the equation of a straight line, and how to find where lines cross.
≈ 35 min
Parallel and perpendicular lines
Why parallel lines share a gradient and perpendicular gradients multiply to $-1$ , and how to use that for perpendicular bisectors, the foot of a perpendicular and right-angled shapes.
≈ 35 min
The equation of a circle
Why $(x-a)^2+(y-b)^2=r^2$ is a circle, how to find the centre and radius from the expanded form by completing the square, and how to use diameters and right angles to find a circle's equation.
≈ 40 min
Tangents, chords and intersections
The two right angles that unlock circle questions (tangent and radius, centre and chord), and how substituting a line into a circle or curve turns geometry into a quadratic whose discriminant tells you how they meet.
≈ 45 min