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Equations and Formulae

Age 11 to 16 Challenge Level:

The equations and formulae collection of STEM resources

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Equations and Formulae - Short Problems

Age 11 to 16

A collection of short problems on equations and formulae.

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Equations and Formulae - Stage 3

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

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Equations and Formulae - Stage 4

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

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Equations and Formulae: Age 11-14

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

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Equations and Formulae: Age 14-16

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

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Euler's Buckling Formula

Age 16 to 18 Challenge Level:

Derive Euler's buckling formula from first principles.

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Euler's Formula

Age 16 to 18

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.

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Euler's Formula and Topology

Age 16 to 18

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. . . .

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Proving Half-angle Formulae

Age 16 to 18 Challenge Level:

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