Explaining, convincing and proving

What can you deduce about the gradients of curves linking (0,0), (8,8) and (4,6)?

Get started with calculus by exploring the connections between the sign of a curve and the sign of its gradient.

Can you solve this inequalities challenge?

How did Archimedes calculate the lengths of the sides of the polygons which needed him to be able to calculate square roots?

Prove that k.k! = (k+1)! - k! and sum the series 1.1! + 2.2! + 3.3! +...+n.n!

Find the relationship between the locations of points of inflection, maxima and minima of functions.

Here you have an opportunity to explore the proofs of the laws of logarithms.

Which of the statements is true?