Grade
3

Same & Different: Tile Patterns

Look at the two pictures. What do you notice?

A. shows a 7 by 6 array of square tiles. The first two rows are yellow tiles. The other rows are green tiles. B. shows a 6 by 7 array of tiles. 6 yellow tiles make a diagonal line from the top left corner to the bottom row. Another 6 yellow tiles make a diagonal line from the top right corner to the bottom row. The middle tile in the top row is also yellow. The rest of the tiles are green.
  1. How are pictures A and B mathematically the same, and how are they different?
    • A and B are the same because …
    • A and B are different because …
  2. Draw a picture of a third tile arrangement. Explain how your picture is the same as pictures A and B, and how it is different.
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Sample problems and solutions