Least Common Multiple

We're working on finding the LCM of numbers now. After being introduced to these types of problems through the use of cycles, my students set about finding the LCM of numbers using the usual list-making strategy. Today we're going to extend our thinking into some algebraic reasoning with a little twist on multiples through pattern exploration. This activitiy is from Connected Math.

What do you notice?  What do you wonder?   What will the 20th step look like? When will the total number of tiles in a step equal 576 tiles? Explain how you found that answer. 

Then there is another pattern to explore:

 

Once again, what do you notice?  What do you wonder? What will the 20th step look like?  When will the total number of tiles equal 110?

 
Here's my graphic organizer and an exit ticket for Least Common Multiple.