Subject
Grade
Big Idea
Finding invariance amidst variation drives geometric investigation.
Elaboration
- Invariance amidst variation can be more easily experienced using current technology and dynamic diagrams. For example, the sum of the angles in planar triangles is invariant no matter what forms a triangle takes.
- Sample questions to support inquiry with students:
- How do we construct geometric shapes that maintain properties under variation?
- What properties change and stay the same when we vary a square, parallelogram, triangle, and so on?
- How can the Pythagorean theorem be restated in terms of variance and invariance?
keywords
invariance amidst variation