1. Staircase Towers T OWER 1T OWER 2 T OWER 3 T OWER 4 Write down what the pattern is, using complete sentences. How many cubes will there be in the 10 th tower? How many cubes will there be in the n th tower? Explain how you know your formula works (in complete sentences). On a clean sheet of printer paper show the relation between the tower number and the number of cubes, in each of the 5 representations: 1.Pictorially 2.Verbally 3.Table 4.Formula 5.Graphically

2. Growing Dots At the beginning At one minute At two minutes

3. Growing Dots At the beginning At one minute At two minutes New each time

4. Growing Dots At the beginning At one minute At two minutes New each time Constant center dot

5. Growing Dots The dot started with one single dot. Every time the dot got surrounded by 4 and each time they stacked to make an x. At the beginning At one minute At two minutes New each time Constant center dot

6. Growing Dots The pattern started with one single dot. Every time the dot got surrounded by 4 and each time they stacked to make an x. At the beginning At one minute At two minutes New each time Constant center dot

7. Growing Dots The pattern started with one single dot. Every time the dot got surrounded by 4 more dots and each time they stacked to make an x. At the beginning At one minute At two minutes New each time Constant center dot

8. Growing Dots Minutes Total Dots Growing Dots-total dots at a given minute The pattern started with one single dot. Every time the dot got surrounded by 4 more dots and each time they stacked to make an x. y=total dots t=minutes How many dots that get added each time The center dot that is always there MinDots 01 15 29 313 +4 +1 At the beginning At one minute At two minutes New each time Constant center dot +4 +1