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• Adding 0-Know that adding 0 to any number is still that number      Example: 5+0+5
• Counting All (Physically Counting)-Count all objects to find the solution
• Counting On-Start with the biggest number and count on all the other numbers
• Doubles-These facts are relatively easy to learn.  Example: (1+1, 2+2, 3+3, 4+4, 5+5, 6+6, 7+7, 8+8, 9+9, 10+10)
• Near Doubles (Doubles Plus One or Doubles Minus One)-This strategy is used when one of the addends is one more than the other.  Use what you know about doubles facts and then add or subtract one to get your answer.  Example: 7+6 (6+6 plus one more or 7+7 minus one)
• Making a Ten-This strategy is best used when one of the addends is an 8 or a 9.  Build up to make a ten and then add the rest, Example: 8+7 (take 2 from the 7 and move to the 8, then add 10+5)
Subtraction Strategies

• Counting On-Start with the small number and count on until you get to the large number.  Example 9-5 (Start at 5 and count up to 9).
• Counting Back-Start with the larger number and count back to the smaller number. Example 9-5 (Start at 9 and count down to 5).
• Part-Part-Whole-This strategy is to used to compare two numbers   Example 4+5=9 so 9-5=4

For a visual explanation along with the above explanation, please click on the link below: