Vectorama Worksheets & Solutions
Back to VectoramaInvestigating 2D Transformations
An investigation where students use a unit square to discover how 2D transformations change shape, size, and position.
Combining 2D Transformations
An investigation where students use a unit square to combine transformations, test the effect of order, and find single equivalent 2D matrices.
Eigenvalues and eigenvectors Investigation
An investigation intended for use before formal teaching of eigenvalues and eigenvectors, where students observe invariant behaviour under transformations and infer key ideas before any techniques for finding eigenvalues and eigenvectors are taught, including that eigenvectors give invariant directions while an invariant line of points is not necessarily an eigenvector direction.
Eigenvalues and eigenvectors Investigation – Part 2
A follow-up investigation where students explore how repeated eigenvalues affect eigenspace geometry in 2D and 3D before formal techniques are introduced.