Clearly if a, b and c are the lengths of the sides of an equilateral triangle then a^2 + b^2 + c^2 = ab + bc + ca. Is the converse true?
Explore what happens when you draw graphs of quadratic equations with coefficients based on a geometric sequence.
This task develops knowledge of transformation of graphs. By framing and asking questions a member of the team has to find out which mathematical function they have chosen.
Take a few whole numbers away from a triangle number. If you know the mean of the remaining numbers can you find the triangle number and which numbers were removed?
An inequality involving integrals of squares of functions.
Alf Coles writes about how he tries to create 'spaces for exploration' for the students in his classrooms.
