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A graphical introduction to the concept of even functions a symmery

A graphical introduction to the concept of even functions a symmery

A graphical introduction to the concept of even functions a symmery

A graphical introduction to the concept of even functions a symmery

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order of operations

Converting into a ratio

Converting into a ratio

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Students are given six graphs, corresponding to curves $\gamma(t)$. They must match each with its signed curvature function, $\kappa(t)$.

The graphs are generated by calculating $\theta(t)=\int \kappa(t) \mathrm{d}t$ (by hand: these are given to the question as functions of a variable '#', in string form), and solving $x^{\prime}=\cos(\theta(t)-\theta(0))$ and $y^{\prime}(t)=\sin(\theta(t)-\theta(0))$ numerically (using the RKF method) with a JavaScript extension.