let me help if I can, in the case of amplitude modulation imagine it this way, you have a microphone or a record player or any other audio frequency (20-20khz) source that outputs a low amplitude (signal strength) signal. Normally in your home you take that audio source whether an mp3 player or an iphone or whatever and plug it into an amplifier which is nothing more than a signal driven power supply, so it takes your weak signal and amplifies it saving the signal frequency and characteristic and then you put that into your speakers and drive them.
The reasojn why you can't do this with a radio transmitter is because at such low frequencies the transmitter would have to be very large, also the receiver and it would require lots of power, it is easier to propagate a signal if it has higher frequency.
So they take an audio signal and then it is sent to the transmitter amplifiers since basically a radio transmitter is nothing more than an antenna which is driven by an amplifier much like a speaker the only difference is that this amplifier is a so called RF amplifier as it amplifies high frequency which then being drive through an antenna radiates in all directions and can be picked up by antennas around.
The tricky part here is the way in which the simple audio signal is coupled with the high frequency high strength signal going out from the amplifiers into the antenna.
I'm not a big pro myself int his field but in the case of amplitude modulation which seems the easiest part I take it happens like this, they take the incoming audio signal and they use that low strength signal to vary the amplitude of the high frequency high strength signal which is then sent into the antenna, imagine like this,
normally if you just needed to send a high frequency signal into the antenna you could just take a certain frequency steady signal and simply amplify it and send it into antenna but that signal would contain no information so would be of no use but you need a high frequency signal for the efficiency so you take it and make it's amplitude vary with the frequency of the incoming audio signal, so the high frequency signal always is at the same frequency but its amplitude is increased and decreased with time, so now whnen you stick out your AM radio antenna it does pick up the high frequency signal but its circuit is designed in such a way that instead of responding to the high frequency itself it rather responds to the increase and decrease in signal strength which then creates the very waveform which was put in or modulated with the audio signal back at the transmitter stage and so you can now hear your audio signal.
the high frequency for the audio signal is simply like a car for a human which helps him get faster and more effectively to his target nothing more
You see the radio antenna picks up the high frequency signal but you can't hear that with your ears but the changing amplitude creates a correspondingly changing current strength in the antenna and this second thing happens to be at the audio frequency so the circuit then amplifies this changing current and voula your speaker now outputs the very voice that was sent into air miles away, rather clever, isn't it?