By the end of 2nd grade students are expected to fluently add and subtract numbers within 99 using knowledge of place value. Below are videos that explain several strategies that, with a little bit of practice, lead to fluently and mentally being able to add and subtract 2-digit numbers. All of these strategies use an understanding of place value and the flexibility of numbers.
Adding Using Place Value Blocks
Subtracting Using Place Value Blocks
Adding Using Partial Sums
Subtracting Using Partial Differences
Adding Using an Open Number Line
Subtracting Using an Open Number Line
These ladies used different strategies to solve 34+26+18. They double checked their work with a calculator and were all smiles when the answers matched.