Students should be able to use a number line to add and subtract. Encourage them to use understanding of 1's, 10's, 100's, 1000's to add or subtract.
Students should also be able to use expanded form. With this method students should expand the number and then add or subtract. Students can also draw pictures of Base 10 short hand to work with expanded form if they need to see the numbers.
Students should be able to use all-partials to add or subtract. In this method the work is done under the equation instead of compacting the tens, hundreds, thousands, etc. on top.