These calculus resources all encourage you to think about transformations. problem Slippery areas Age 16 to 18 Challenge level Can you find the definite integral of a transformed function? problem Sine stretching Age 16 to 18 Challenge level Can you find the gradient function of $\sin 3x$. How did you convince yourself? problem Trigsy integrals Age 16 to 18 Challenge level What different ways can you find to calculate these integrals? problem Stretching an integral Age 16 to 18 Challenge level What happens to areas under the graph of $\frac{1}{x}$ when they are stretched?
problem Slippery areas Age 16 to 18 Challenge level Can you find the definite integral of a transformed function?
problem Sine stretching Age 16 to 18 Challenge level Can you find the gradient function of $\sin 3x$. How did you convince yourself?
problem Trigsy integrals Age 16 to 18 Challenge level What different ways can you find to calculate these integrals?
problem Stretching an integral Age 16 to 18 Challenge level What happens to areas under the graph of $\frac{1}{x}$ when they are stretched?