1. Electromagnetism: the interaction between electricity and magnetism
About all you can do with this is make a compass needle move

2. Solenoid: a coil of wire with an electric current in it

3. Electromagnet: a coil that has an iron core and that acts as a magnet when an electric current is in the coil
It is a solenoid with a piece of iron in the center

4. How to make one:
You wrap a wire around a solid iron core and attach it to a power source
You can use iron, cobalt, or nickel as the core due to the domains of these metals being able to easily align and become magnetic
If you want to increase the magnetic field all you need to do is make the wire longer and add more loops to your solenoid

5. Electric motor: device that converts electrical energy into mechanical energy