Students will be able to make sense of Pattern 4.0 and look for structure in how the pattern is growing. Students will begin to generalize how to determine the total number of squares for any figure in this pattern.

## Number of Players

Any

## Task Instruction

Look at Pattern 4.0 :

- How do you see the pattern growing?
- How many squares will be in Figure 10?
- How many squares will be in Figure 100?
- How can you figure out how many squares will be in any figure?

Now look at Pattern 4.1:

- How do you see the pattern growing?
- How many toothpicks are in figure 7?
- How many toothpicks are in figure 507?
- How can you figure out how many toothpicks will be in any figure?

Now look at Pattern 4.2:

- How do you see the figure growing?
- How many squares are in figure 8?
- How many squares are in figure 808?
- How can you figure out how many squares will be in any figure?

## Reference

Licensed under Creative Commons Attribution 3.0 by Yekaterina Milvidskaia and Tiana Tebelman