I agree that having her evaluated is your best next step; you've already received good advice about writing a letter to the district ASAP to get the ball rolling; these things always take longer than you expect (in our experience.)
My almost 7 yo DD, who was recently dx with dyslexia, has these same problems. Telling time, the order of the months of the year, even the order of the alphabet and higher numbers are all extremely difficult for her. But she is also extremely bright in other areas. These are not incompatible ideas: there are actually many gifted individuals who are dyslexic.
But it's still difficult; I hate watching her struggle so hard and feeling like she isn't "smart." :-( As both her mom and her other primary teacher (she attends a charter school where I homeschool half the curriculum), her memory and learning issues have been extremely challenging and frustrating for me, because they don't respond to any of my usual teaching methods. It really doesn't matter how much time I spend working one-on-one with her -- without specific techniques targeted at her deficits, she is unable to make meaningful progress. She will be starting a specific tutoring program for dyslexia in the fall, thank goodness; until then, we're basically treading water working on our own this summer, trying to keep concepts somewhat fresh in her mind (with varying degrees of success.)
Our road to a dx has been a bit long and bumpy (I spent the entire last school year working on getting her tested), but even so, DD is actually quite young to have been identified. It can be difficult to dx learning disabilities in younger elementary children b/c there is still such a wide range of "acceptable" in K/1/2. In our case, I've known since DD was around 3 that her brain processed things quite differently from my other children. And while she struggled a bit in K, her problems didn't really become glaringly obvious until 1st grade, when she was asked to do more complex work and make substantive progress in reading. That's when everything pretty much fell apart. :-(
I have a great deal of sympathy for your situation and hope that you can find some answers and help for your DD soon.
Kind regards,
Guin
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