Of course my son's current teacher says "we don't use the word gifted" even if you have shown me the test results and "he and a girl are ahead in maths so I give them the next level of whatever we are doing after they have finished", strangely enough he doesn't always jump at the opportunity of more work which may also be too easy.
No? I can't imagine why.
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To the OP, your story sounds almost identical to our experience with our (now 14yo) DD. We thought "Oh, we'll just do preK at home... it'll be fun! A little Montessori, mommy-and-me time with a few artsy classes, and she'll be thrilled and ready for K in a year."
Well, no.
Because by then she was scarfing down books like potato chips, avidly interested in world affairs, and working quite readily with fractions and negative numbers.
We have
never had our DD tested. She has a pair of parents with SB IQ scores in the 150-ish range, and extended family members far higher than that. She
easily outstrips her parents' ability. It's very obvious that she is "way, way out there" and therefore, she qualifies pretty much without formal assessment for whatever the school has on offer-- we often don't even have to ask-- they ask US.
We've never had the ability to send her off for extremely high LOG events/camps/activities, so that reason for having the number didn't apply.
She's been fine so far with us just interacting with the child that we see in front of us. A number can't give you
that, after all, and the larger the value is, the fewer the resources you'll have to use as a road-map anyway. You already have a lot of evidence to suggest that you're well into "throw away child development guidelines" territory.
What would change if you had the number? I'd answer that before seeking it, because I do tend to agree with the "fruit of knowledge" remark. Things known cannot be UN-known.