Transitions versus Tempo

[jamesb93]

Is it possible to structure a canvas with a series of "breakpoint" transitions.

I want to make semi-interactive visual demonstrations when the user clicks a button the next step is transitioned to. A simple example is:

1. Square in the middle
2. Users presses button
3. Circle enters from the right and overlays the square

I was looking at the animation section but I wasn't convinced this is what I need. Is there a robust way that I can describe a series of transitions in the code?