"DotMath for kids" is NOT touch math.   Some people have added DotMath material to touch math. This is a violation of the copyright law and the rules of this site.   This material is to compare with touch math.   It is   NOT  to be used with touch math or added to it.    You must decide between them.   The patterns are completely different so you will confuse the students if you try to mix them.    If you  use touch math,  you MAY NOT use any of the material from this site or the DotMath system.   If you have copies from the evaluation period, You must destroy them and may NOT combine them with touch math. 

        If you have used touch math in the past but do not use it now  and want to use  the DotMath for kids system you must send me an email to confirm that you no longer use touch math and  that you will not add any of the DotMath material to touch math.

 

 

Multiple addition is the begining of Multiplication.