A chain hangs in a catenary - but how close is this to being a parabola? A chance to bring in a discussion of percentage error and some related graphs...
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This is a very useful resource to use when revising hyperbolic and exponential functions. The students have to work out the equation of a parabola using two points which it passes through, they then have to sketch the curves and then start to think about percentage error, I would use this with a further maths group when I really wanted to test their understanding of these curves. The teachers notes provide a very detailed solution. Thank you for sharing.
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