Understanding computer models
Constructing a climate model
Validating climate models
Users of climate modeling
Developers of climate models
If you haven't see it already, do check out this 1 minute video designed to demonstrate the difference between weather and climate by using the analogy of a man walking his dog. The dog takes a varied path along the way (representing weather), while the man is establishing the direction in which they are walking (representing climate).
I think you'll find this to be a user-friendly primer on climate models. According to the website, the information presented "is based on expert, consensus reports from the National Research Council's Board on Atmospheric Sciences and Climate. The most recent is A National Strategy for Advancing Climate Modeling."
Alignment to NC Essential Standards (grades 9-12)