Step 2: Constructing the Circuit
Following the circuit below, solder the parts to the 8-pin IC socket. How they're positioned is not cruicial as long as the connections are correct, since the goal is to have all parts connected in the most compact way possible.
This technique of building circuits is called "discrete wiring", or more frequently, the "dead bug technique". For simple circuits like this one, it can be used without worry, but anything much larger, and you should definitely use a circuit board.