Explain how atoms move/pass in conduction.

This is my answer.
When heat comes in contact with matter it makes the atoms vibrate. As the conductor is heated , the atoms gain more energy and vibrate more. This causes them to collide with other atoms transferring the heat energy.

Explain how atoms move/pass in convection.
This is my answer.
The hotter the liquid and or gas particles move faster and spread out. This means the gas or liquid sinks. The less dense gas/liquid rises and the more dense liquid/gas sinks.

when they spread out the density goes down and the warmer gas rises.

So, the hotter the liquid and or gas particles mover faster and spread out. When they spread out the density goes down and the warmer gas rises?

How do the atoms pass heat in Radiation?

Yes, farther apart is less mass per unit volume, rises like hot air balloon.

Ok thanks! Can you help me with the radiation part?

Oh wait! Radiation doesn't need atoms to travel!

Everything radiates heat, if hotter, radiates more (infrared electromagnetic spectrum) and frequency changes. Ice radiates a little, fire a lot. Google black body radiation

https://www.google.com/search?q=black+body+radiation&ie=utf-8&oe=utf-8&client=firefox-b-1-ab

That is right, heat radiation is electromagnetic, like radio or light but lower frequency than visible light (infrared, not ultraviolet) but higher than radio

https://en.wikipedia.org/wiki/Electromagnetic_spectrum