The equations and formulae collection of STEM resources

A collection of short problems on equations and formulae.

Working on these Stage 3 problems will help your students develop a better understanding of equations and formulae.

Working on these Stage 3 problems will help you develop a better understanding of equations and formulae.

Working on these Stage 4 problems will help your students develop a better understanding of equations and formulae.

Working on these problems will help you develop a better understanding of equations and formulae.

Derive Euler's buckling formula from first principles.

Some simple ideas about graph theory with a discussion of a proof of Euler's formula relating the numbers of vertces, edges and faces of a graph.

Here is a proof of Euler's formula in the plane and on a sphere together with projects to explore cases of the formula for a polygon with holes, for the torus and other solids with holes and the. . . .

Can you find a geometric proof of these half-angle trig identities?