Calculus and Vectors (Grade 12)

This course builds on students' previous experience with functions and introduces the foundational concepts of calculus and vectors.

Unit 1: Rates of Change and Derivatives

Students explore the concept of derivatives and investigate instantaneous rates of change.

Unit 2: Applications of Derivatives

Students apply derivatives to solve optimization and motion problems.

Unit 3: Curve Sketching and Mathematical Analysis

Students analyze functions using calculus concepts.

Unit 4: Vector Geometry

Students investigate vectors and their applications in geometry.

Unit 5: Applications of Vectors

Students explore vector applications in physics and engineering contexts.

Unit 6: Culminating Mathematical Investigation

Students complete a final project applying calculus and vector concepts.