She understood vertical and horizontal translations very well in both algebraic and even graphical problems. She could recall the different types of graphs from the equations very well and could also remember the shapes of the graphs.

For harder types of graphs such as logarithms, square roots and other polynomials she had some challenges with sketching and identifying the equations. This is something to be worked on. She also needs work on factorisation, understanding terminology - roots, multiplicity, sketching even and odd powers etc - and approaching graphs that she might not recognise the shape of immediately.

She did very well with discrete probability - she could understand what the questions were asking from her very well and even completed the assessment paper section for this topic in a very good timeframe. I only ever had to explain minimally for some questions that she had never seen before.

She had challenges with some of the series and sequences questions. She did reasonably well in the topic test especially when I guided her through some of the questions she hadn’t seen before. However she seems to struggle quite a lot with understanding when it is applicable to use the term equation or the sum equation. Additionally, logarithm and quadratic skills need some work as when questions required her use of these, she struggled.

She was quite comfortable with the content given that she has reviewed it at school so when she was exposed to much harder questions she could do majority of them without much help. She was introduced today to limiting sums and was able to work well on this topic too, doing the majority of common examinable questions without much of my help.

She has some issues with remembering the formulas and differentiating when she needs to use the term equation or the sum equation. She also needs to work on her quadratic and logarithms skills.

She recalled very well from her school studies so the lesson was able to progress fast enough to actually cover all the topics. She was able to do a lot of the questions immediately after briefly reviewing some of the key content and equations. She also could quickly correct herself for any of the errors she made without having me to look over.

While she was able to pick it up in the end, she just has to be more comfortable with using variance and standard deviation equations, particularly with putting these equations to memory. I think she just is not completely used to using the notations like sigma so that is something we need to help her get more familiar with.