Lattice

Kids were challenged to place n cubes on an n x n lattice, such that all of the distances between every pair of cubes were unique. Kids had to use combinations and the Pythagorean theorem along with fractions and decimals to defend their solutions. The n = 3 puzzle was used to describe the challenge and kids began with the n = 4 puzzle. Only one student was able to solve the n = 4 puzzle and the n = 5 puzzle as well - Sydney Ambrose.

Kids did their calculations and problem solving on paper.

A program I wrote was then used by kids to defend their calculations and solutions.