IB Math AI Worksheet AHL 1.15 - Eigenvalues and Eigenvectors

IB Math AI Unit 1 Worksheet Bundle - All Units Included!

This **IB Mathematics: Applications and Interpretation – Unit 1 (Worksheets 1.1–1.15)** collection provides a coherent, skills-driven foundation in algebra, functions, financial mathematics, and introductory linear algebra, aligned closely with the IB Math AI syllabus. The worksheets are carefully sequenced to build conceptual understanding alongside practical fluency, consistently emphasising interpretation, modelling, and the effective use of technology. Early worksheets develop core algebraic skills, including simplifying expressions, solving equations, and working with logarithms and indices, ensuring students can manipulate mathematical models accurately and explain their results. These foundations are extended through geometric and arithmetic sequences, infinite geometric series, and financial applications such as annuities and amortisation, where students analyse growth, decay, repayments, and long-term financial behaviour in realistic contexts. The unit then introduces more advanced representations and structures, including complex numbers, polar and exponential forms, and matrix methods. Students move from basic matrix operations to solving systems of equations, modelling real-world scenarios, and exploring transformational ideas such as eigenvalues and eigenvectors, with a clear focus on interpretation rather than abstract proof. Across all worksheets, questions are exam-style and progressively challenging, with full worked solutions that model clear mathematical communication and appropriate technological use. Together, this complete Unit 1 worksheet set supports classroom instruction, revision, and independent study, equipping IB Math AI students with the analytical tools and applied reasoning skills required for success in internal assessments and final examinations.