## Tiling Models

**Work Time**

# Tiling Models

Sophie built models using square tiles. The models keep increasing in the same way.

- How many square tiles are in model number 5? Show how you figured it out.
- How many square tiles are in model number 50? Show how you figured it out.
- If you know the model number, how can you figure out the number of square tiles?
- What model number has exactly 79 tiles in it? Show how you figured it out.
- If you know the number of tiles, how can you figure out the model number?
Now Sophie builds a new set of models, like the image shown above. If you know the model number, how can you figure out the number of square tiles?

- If you know the number of tiles, how can you figure out the model number?