IB Math AI AHL 3.12 - Applications of Vectors

This IB Math AI HL 3.12 – Applications of Vectors slide deck connects vector theory to real-world motion through clear and structured kinematics modeling. The lesson introduces kinematics as the study of motion and shows how position and velocity vectors can be used to model linear motion with constant velocity in both two and three dimensions.

Students apply vector equations to analyze the motion of particles, finding initial positions, velocities, speeds, and distances between moving objects. Carefully scaffolded problems guide learners through interpreting vector-valued functions, eliminating parameters to find paths of motion, and modeling projectile motion using vectors. The lesson also lays conceptual groundwork for variable velocity, preparing students for later calculus-based extensions.

With its emphasis on applied reasoning, visual interpretation, and exam-style practice, this slide deck supports HL-level classroom instruction and independent study, equipping students with the tools needed to confidently solve vector-based kinematics problems in IB assessments.