Grades 5-6 Video Solutions 2021-video 2021 5-6/25

Video Transcription

Video Summary

To achieve 4 axes of symmetry (horizontal, vertical, and two diagonals) in a 6x6 square, a consistent 3-colored pattern must be present in each of the 8 sections created by these symmetries. Initially, one section is colored, so we must add squares to ensure uniformity across all sections. By determining the pattern and symmetry needed, the calculation shows that 21 additional colored squares are necessary, resulting in a solution with the smallest number being 8, accounting for the required uniformity in the square's color distribution across symmetrical axes.

Keywords

4 axes of symmetry

6x6 square

3-colored pattern

symmetrical uniformity

21 additional squares