A wire-frame model is like a skeleton of a 3D thing. Imagine you have a toy car. The wire-frame model of the car would show just the empty outlines and skeleton of the car, without any paint or details on it. It's made out of little lines and dots, just like a drawing.
Sometimes, it's easier to first draw a wire-frame model before adding all the details of the object. Think about drawing a picture of a tree. If you first draw the branches and overall shape of the tree in wire-frame, then you have a good structure to add more details like leaves and bark.
Wire-frame models are also used in computer graphics, like in video games or creating animated movies. A wire-frame model helps the computer know how to create the 3D object with all its details.
So, to simplify, a wire-frame model is a 3D skeleton made out of lines and dots that helps create more detailed objects.