Square Numbers, Square Pyramid

cults3d

####Square Numbers, Square Pyramid, Sum of Square Numbers These square pieces are made at the request of a classroom teacher. I flattened the sphere at the top and bottom for easy printing. Square numbers, including its connections with odd numbers, are appealing ideas in K-8. The sum of the first m odd numbers is always m^2. For example, 1 + 3 + 5 =3^2. Square numbers, when modeled using physical objects, can be placed on top of each other for a square pyramid, which shows the sum of the first few square numbers. Indeed, the sum of the first n square numbers has an interesting algebraic representation/function: sum of the first n square numbers=n(n+1)(2n+1)/ 6. When n=5, the sum is 55. One can go as far as one likes or wherever the children are comfortable with these ideas. Do remember to review them across the grades. Among the Files Regular version: Sphere diameter is 12 mm. Of course, these can be scaled up or down. Big version: Sphere diameter is 20 mm.