Analytic Geometry (Graphing)
Being able to graph an algebraic equation on a 2D coordinate system and use geometry skill to solve it is always such a satisfying experience! Form the habit of connecting typical equations and functions to their coordinate graph.
AMC 8 LEVEL PROBLEMS
At this level, questions are quite simple, focusing on the algebraic meaning of simple geometric features (such as slope)
2024 AMC 8 Problem 11: In this case, the coordinate system is just a distraction. The real problem is geometry
2025 AMC 8 Problem 5: Basically a coordinate system in disguise
AIME LEVEL PROBLEMS
If you think "graphing is EASY!", here is a sneak preview of what's coming down the road -- and I hope you agree that graphing can be REALLY complicated and hard!
2021 AIME I Problem 8 Problem 15
2024 AIME I Problem 7 Problem 9 Problem 12
Rotation, Translation and Transformation