Mastery: Reasoning and Problem-Solving
- Shade 4 more spaces on this grid (see download) to create a pattern with two lines of symmetry.
- Draw a shape with exactly four lines of symmetry. It does not need to be a polygon.
- By shading just one ‘cell’ on a 3 by 3 square grid, how many different symmetrical patterns can you make? Be careful not to count reflections or rotations of patterns already made…
How many different patterns can you make if you are allowed to shade 2, 3, 4 or 5 cells?
Can you make a prediction about how the number of patterns with 6 cells shaded will relate to the number with 3 cells shaded?
In-depth Investigation: Tremendous Tiles
Children explore creating patterns of tiles with three asymmetrical blocks. They look for and identify lines of symmetry, creating patterns with at least two lines of reflective symmetry.