Okay kiddo, have you ever played with play-dough? You know how when it's cold it's hard and breaks easily, but when it's warm it's stretchy and can bend without breaking?
Well, metals and other materials can be like that too! When they are cold, they can be hard and break easily, but when they are warm, they can stretch and bend without breaking.
The temperature at which a material changes from being hard and easily breakable, to being able to stretch and bend without breaking, is called the ductile-brittle transition temperature.
It's important to know this temperature because it affects how we use materials. For example, if we are building a bridge in a cold environment, we need to make sure we use a material that won't become brittle and break easily in the cold temperatures.
So, just like how we have to adjust how we play with play-dough depending on its temperature, we have to adjust how we use materials depending on their ductile-brittle transition temperature.