Progression in written methods for addition NNS recommendations

Stage 1: counting on in multiples of 100, 10 or 1 I can find 86 + 57. Watch! 86 + 57 = 86 + 50 + 4 + 3 = 143

Stage 2: horizontal format using partitioning The most significant digits are added first since this is how children will be used to adding two-digit numbers mentally. This is like how I do it in my head! 67 + 24 = 60 + 20 + 7 + 4 67 + 24 = 80 + 11 67 + 24 = 91

Stage 3: expanded vertical layout working left to right The most significant digits are added first in order to model mental methods. 368 + 493 700 150 11 861 I can use a paper and pencil method to do these calculations! 47 + 76 110 13 123

Stage 4: vertical format working right to left The least significant digits are added first in order to start to use and understand standard methods. 368 + 493 11 150 700 861 This is not too difficult!

Stage 5: standard method The standard contracted algorithm is used using ‘carrying’ where appropriate. I understand how to use this method because really it is the same as the others I’ve used! 368 + 493 861 1 1