Hello
"under SEN support at school"
Is this something that the school have put in place?
What exactly have they / did they put in place?
What reasons did they give? What difficulties did they say your child encountered?
Did the school commission any assessments? (They can do this, without waiting for the LA, it depends on how good and proactive the school is, imo)
Almost everyone is in the same boat, at the moment, so try not to panic, do what you can.
This is what I would do, YMMW:
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In terms of learning, I would suggest that you take a look at :
www.century.tech/explore-century/parents/
It is free at the moment until August 2020 (I expect that they might extend that but I do not know, I am not associated with them). It was a platform aimed at schools really and opened to parents during March I think.
The difference between the free and paid is (I asked them) that the free contains elements of the national curriculum whereas the paid one contains the whole of the national curriculum.
For you, at this time, the free platform is fine. May be work on maths and English only at this stage.
Progress can take time, even with non-SEN children it takes time, so try not to stress.
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As a very rough and ready online screening tool:
dyslexiaida.org/screening-for-dyslexia/dyslexia-screener-for-school-age-children/
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Take a look at:
www.patoss-dyslexia.org/
You may be able to find a SENCO teacher who can provide you with support as to what to do (which may work out less costly than say hiring him/her for one on one tuition).
You did not say what your child's difficulties/struggles are.
Is it a reading issue (that is the impression I got)?
All the best.