Step 1: Get Parts!
With a little creativity I'm sure you can substitute a lot of these parts for something similar.
2 AA Batteries
A holder for these batteries (see picture)
A small plastic container
A small steel ball or another ball that conducts electricity
Step 2: Burn Holes and attach battery
Insert batteries into the battery pack. Tape it to the bottom of the plastic lid and loop the wires through the holes. The positive wire from the battery pack (usually red) should stay on the top side of the plastic, while the negative wire (usually black) should loop through the second hole back to the side with the battery.
Using a tape measure, make a small mark on the edge of the lid about every 2.25 cm (But it will depend on the circumference of your lid and how many LEDs you have. To figure out how often to make a mark, do the following:
Circumference of the lid / Number of LEDs
This is purely aesthetic; if you don't care about your LEDs being evenly spaced or just want to eyeball it, the device will still work.
Step 3: Putting the Foil on
Then cut out a ring of foil and place it on the bottom. Take small pieces of tape and tape the foil on the bottom down every inch or so.
When you are done with that, tape the exposed part of the positive lead under the circle of foil and make sure it is making a good connection. You might want to also tape it down.
Then do the same thing with the negative lead on the outer side.
Step 4: Inserting the LEDs
Insert the LEDs into the melted-out semi-circles. twist the negative lead so that it reaches down to the bottom, and insert it under the foil. Tape it to secure the connection.
Clip the positive lead and hang it over the edge so it is slightly intruding into the inside of the lid, but not so much that it will stop the steel ball from continuing to roll.
Step 5: Finish!
If no LEDs are lighting up, you first should check that both your battery leads are making good connections. If only certain LEDs aren't lighting up, check those individual connections. And make sure they are inserted in the right way!