Overall Alex seemed to understand everything I went through pretty well. Throughout the lesson I asked him to recall certain parts we had previously gone through to help reinforce what he had learnt. After a while he managed to get the hang of it and answered the questions fairly confidently which is great to see

As we were just starting on the topic there isn't much he seems to be struggling with, he just needs to make sure he goes over what we did today and keep up to date with his class to ensure he doesn't fall behind

N/A as the lesson was cancelled without 24 hours notice

N/A as lesson was cancelled without 24 hours notice

This was a bit of a rushed session as I was not aware that Siena's exam was tomorrow however we did our best to cover as many areas she was struggling with as possible. Siena seems to generally be alright with the probability section. She was able to draw and use tree diagrams to determine the probability of events without replacement, knowing how to multiply the individual probabilities to determine the overall probability. As Siena struggled with collecting and simplifying like terms in the past, I suggested to start off by highlighting the different like terms to make it clear which she has to subtract/add together. This seems to have worked quite well as Siena found it a lot clearer to simplify the expressions. We went over multiplying and dividing algebraic fractions again as Siena struggled with them in the past. She remembered to keep, change, flip for division which is great, and also recalled how to cancel out common factors and multiply across for both the numerator and denominator. We also did some questions that required Siena to factorise beforehand which she was able to follow along really well as I explained why this was needed. Although she was a little unsure if she worked out the linear inequalities questions correctly, she didn't make any mistakes and worked them out really quickly which was great to see!

We did not go through much of the measurement content as Siena wanted to focus more on probability and algebra, but we did go over a lot of the relevant formulas for area and perimeter, which she just needs to practice using. For probability, she needs to get used to the formula to calculate conditional probability and use this to work out if events are independent. Other than that, she just needs practice getting familiar with the questions types, especially worded questions. For algebra, looking at her past tests, Siena's mistakes tend to be careless mistakes so she just needs to make sure she watches out for these, especially her negatives.

Siena could determine whether a point lies on a line by herself, by substituting the x and y-coordinates into a linear equation and simplifying to determine if the statement is true. This is a great improvement from last lesson as she did not need any promoting from me which she previously did. She is very comfortable with finding the gradient, distance and midpoint when given two points as well. Once she has determined the gradient and y-intercept, or x and y-intercepts, she is also fine with graphing the line.

Siena has trouble with finding the gradient and y intercept when y is not isolated. She forgets that she has to solve for y before looking at the rearranged equation to find the gradient and y-intercept. We did a lot of these questions today's lesson and I got Siena to keep verbally repeating 'get y by itself' every time we came across a question to hopefully reinforce it. After Siena remembers this, she is usually fine for the rest of the question so as long as she remembers this in her test she should be fine for these types of questions. She also needs to remember she cannot find the x-intercept from the equation, and must instead make y=0 to solve for x. Again, once she remember this, she is usually fine with finishing off the question herself.