• The 3 by 3 lattice has 4 lines of symmetry and rotational symmetry of order 4.
How might this help?
• Flips or Turns / Reflections or Rotations – are they the same or different?
• Try shading 1 square only. What symmetries are possible?
• Try shading 2, 3, 4.. squares only. What symmetries are now possible?

• How helpful would this table be?

 
Lines of symmetry/ Rotational symmetry
 
 
0
1
2
3
4

Shaded
Squares

1
 
 
 
 
 
2
 
 
 
 
 
3
 
 
 
 
 
4
 
 
 
 
 

• What omissions do you notice?