Changes Within Layers MET
You need to know the changes in temperature and pressure that occur in each of the four layers with ascending height. One of these two is straightforward: pressure. As you go upwards, there is less "stuff" above you, and so pressure (always) falls with increasing height.
Temperature is more complicated, as follows:
In the Troposphere temperature falls with height owing to the increased distance from the primary heat source, the Earth's surface. In the Stratosphere temperature is initially constant and then goes up with height because of the absorption of solar radiation by the ozone layer. In the Mesosphere temperature falls with height owing to the reducing pressure. In the Thermosphere temperature is highly variable depending on whether you are in direct sunlight or not.
It is only likely that you will receive questions on the first two of these layers.