Originally Posted by Love2Dolphins
... at K level (lack of exposure to certain materials, etc.)
You mentioned your child doing algebra/geometry... which has not been taught in kindergarten. Gifted kids often push for "more" in areas of interest, and parents scramble to keep up with them.

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... only administrate few achievement subtests in public schools
Schools may test relative to criteria they deem important for their own gifted programs/services. This may differ considerably from other/outside programs/services. For example, DYS describes a minimum of 99.9th percentile... the extreme outliers.