My dd (8yrs) is working through the first abracadabra violin course and is roughly half way through book 1. Out of interest, if she chooses to do grades, at what level does grade 1 compare to in terms of the abracadabra book. I'm assuming you wouldn't start working towards grade 1 until your well into the 2nd book, but as she has lessons at school I never get to ask her teacher anything!
Hi - I've been trying to find more information, but haven't succeeded yet!
I didn't know the Abracadabra series, but I now see they do tuition music for most instruments, including saxophone.
They are published by A&C Black imprint of Bloomsbury Publishing PLC, so I can only suggest you email them, and ask how the series relates to ABRSM Grades, or maybe find a violin student 'blog' that has information.
I would also suggest you obtain some ABRSM music to compare, and encourage her to play from a range of music (car-boot, charity shop etc) to get used to a variety of material.