: Investigating the "Varignon's Theorem" (connecting midpoints of any quadrilateral always forms a parallelogram).
: Exploring whether the "Divine Proportion" is actually used in famous logos or modern architecture.
: Creating mathematical models for everyday problems involving work, speed, and shared resources. Geometry and Applied Math
These topics build on standard 8th-grade algebra but require deeper investigation into patterns and shortcuts.
: Researching geometric patterns in fabric design or the use of symmetry and proportions in tailoring.
: Investigating how the theorem can be used to solve complex equations or how it applies to polynomials of higher degrees.
8th-grade geometry (quadrilaterals and area) offers many visual and practical research avenues.
: Analyzing the behavior and visual symmetry of functions like