Seven Squares - Group-worthy Task


Growing rectangles

solution to growing rectangles

Width n:

Perimeter: 2n + 4
Dots: 3(n + 1)
Lines: 5n + 2


L shapes

solution to L shapes

Height and width n:

Perimeter: 4n
Number of squares: 2n - 1
Lines: 6n - 2


Two squares

solution to double squares

Black dots n:

White dots: 2n$^2$ - n - 1
Lines: 4n (n - 1)


Square of Squares

Side length n:

Number of edge squares: 4n - 4
Lines: 12n - 12


Dots and More Dots

Side length n:
Dots: n$^2$ + (n + 1)$^2$
Lines: 2n (n + 1)


Rectangle of Dots

Side length n:
Lines:7n
Dots: (n + 1) (2n + 1)