Your x-y-z coordinate in Minecraft, the temperature of a cup of coffee cooling down, the pixels of an image. We store sequences of numbers all the time. But is there a pattern? Can I predict where you move in a video game, how fast the coffee will cool, or compress an image without losing resolution? (The answer might be yes, and the secret might be some very cool mathematics!) In this class, students will work in small groups to study the famous, seemingly unpredictable Fibonacci sequence with the power of linear algebra. This is not a lecture! With guidance, students will develop tools and build intuition about this super, applicable field of mathematics. No prior linear algebra experience expected. Time permitting, we will dive into additional extensions and generalizations.