Your older child should have qualified already, as intelligence tests are supposed to use one SEM, which would make the true qualifying score 124 (128 cut score, but with an SEM of 4.0). The district is not supposed to require additional tests if there is already one qualifying score.

If you have concerns about ceiling effects for the younger child, then an individually-administered cognitive assessment (IQ test) is probably the best way to go for this age group.


...pronounced like the long vowel and first letter of the alphabet...