Counting on by zero, one, or two is a simple first addition strategy. Children recognize the rules of adding zero and one.
Doubles (Addition)
Doubles facts (6+6, 7+7, and so on) should be practiced so children recall facts quickly.
Near Doubles (Doubles +1 or Doubles +2)
Children identify a "near double" and use this to help them solve an addition problem. (If 6+6=12 then 6+7 must one more , 13)
Communtative Property (aka Turn Around Rule)
Children understand that the order of the addends does not affect the sum. (If 8+2=10 then 2+8 also equals 10)
Using or Making Ten
There are a number of ways children may use ten when solving an addition problem. They may recognize sums of 10 quickly (6,4/3,7/etc.) from Calendar Math or might add ten to a single addend from knowledge of the hundreds' chart (17+10=27)