vertical motion simulator

this motion simulator seems a very good one

it is done with Geogebra, so needs an appropriate version of Java

quadratic graph

There are several programmes that enable the three parameters of a quadratic expression to be varied. This one seems clear and can be expanded to a whole screen.

Varying 'b' seems to trace a quadratic (with the lowest graph points). Establish that the equation is y = -1/4 b^2 when c = 0 and a = 1.

There is also a completed square version.

NLVM

(from the fractals iterative programme)

Fill and pour - the 'jugs' problem: given two jugs of various capacities, how can you create a third amount?

How high? - pour liquid from one container to another, how high will it go? Can involve volumes of cuboids.

Could involve volumes of cuboids, cylinders and cones (illustrating that a cone is a third of a surrounding cylinder)




Grapher -set up a general quadratic ax^2 + bx + c and see the effect of changing each parameter (with a slider)

Line plotter -given a point and the gradient of the line, construct and check the line's position.

Platonic solids - what's the minimum numbers of colours needed to colour faces of the platonic solids so that adjacent faces are different colours?