had he not made his minor mistake of adding indices when they are meant to instead be subtracted, Xavier would have otherwise given the correct answer for the majority of the questions, his mistakes in regards to indices and fractions appear to be reducing in variety.

for the homework i set for Xavier, he made one minor mistake for the majority of the questions where he would add the indices of the demoninators to that of the numerators rather than subtracting as he was meant to, he realized this mistake early on at the beginning of the session, future sessions will show if he continues to make the same mistake or not.

after clear explanations and worked similar example, Xavier did rather well at most if not all of the questions, I would say his abilities are above what he believes them to be.

working through the questions was admittedly rather slow, Xavier needs to have more confidence in himself and accept that it's ok not to always give the correct answer the first time as that is how we can learn from our mistakes. Xavier will be completing a separate set of index questions/problems from his school worksheet as test/revision of what we worked on tonight, depending on how he goes at those between now and our next session will determine if he needs more work on his indices skills orif we can move on to another topic.

ultimately Xavier showed better understanding of indices than in our previous session, making fewer mistakes and his guesses for what to do next as part of solving/simplifying expressions were more often correct compared to last session.

Xavier only attempted the first question and only wrote down the 2nd question out the the total 12-16 questions I had set him as homework, he admittedly still has difficulties making minor mistakes and also has shown he doesn't understand multiplying, dividing, adding or subtracting fractions or how they relate to indices (particularly negative powers) will be moving onto some more basic fractions work to support his current learning of indices

Xavier got the hang of a preliminary understanding of statistical data and identifying and cassifying its different categories

Xavier and his mother noted that in his previous semester at school he struggled with algebra and geometry in particular and this was reflected in his report card for the semester. Algebra and indices laws will be the focus of our next session.