Several tasks all based on an Edexcel GCSE question about coordinate geometry - equations of perpendicular lines. These tasks are designed to improve students’ mathematical reasoning and were created as part of the Mathematical Reasoning at GCSE project run by Cambridge Maths Hub.
The tasks vary in difficulty, and include work on rearranging equations, distance between points, column vectors, Pythagoras’ theorem, gradient and the equations of straight lines. They are not intended to be used all together; just pick and choose one or two suitable ones for your class.
Thanks to JustMaths for the packs of exam questions by topic where I found the original question. Diagram created in Desmos (there is a link to the interactive diagram in the powerpoint).
All feedback very welcome. I’d be really interested to hear which tasks you chose and how you used them!