What's Happening Now
Weather is what you see when you look out the window right now. It is short-term. If it's raining, snowing, or sunny today, that is the weather. It can change in just a few minutes!
The Long Story
Climate is the 'average' weather over a long time—usually 30 years or more. While weather tells you to bring an umbrella today, climate tells you that you’ll probably need a heavy coat because you live in a place that is usually cold in the winter.
Predicting the Future
It is much easier to predict the climate than the weather. We know that a desert will be dry next year (climate), but we might not know if it will rain exactly at 2:00 PM next Tuesday (weather).