A set of Autograph Activities finding equations to model butterflies. Motivated by a question on Twitter to @autographmaths, I started investigating equations for modelling the shape of butterflies for which polar coordinates were helpful and then considered a moving butterfly for which cartesian coordinates were a more natural fit.
A nice fun modelling exercise which could be very simply extended to other butterfly shapes, different routes, multiple butterflies, etc.
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This was really nice to do with Y12 students as a last lesson before the holidays. <br /> We had to use the desktop autograph (not allowed to install anything to so can't use the online version) and it would have been really good to either have a file to open in there, or have equations to copy across (we had to look ahead and skip some parts). <br /> Thank you - it's great to have enrichment activities for Further Maths!
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