The advantage of being one-to-one is that I can quickly find out what the student already knows and adapt the lesson to their needs to either recap prior learning or move at a rapid pace to teach new concepts. While this lesson focuses on subtraction methods, I am keen to build on the student's skills and they are welcome to join as many classes as they like to either repeat their skills or develop onto other calculation skills to apply to problem solving or ask me to support with any of their maths questions.

During the first half of this first session, I will first set a subtraction calculation (3-digit subtract a 3-digit number) like in my photo, to see what the students already knows. I will model the expanded method (see my photo) explaining the benefits of the model and the how it represents 'real-maths' rather than just a quick way to solve a problem. I will explain to them how understanding this will ensure they become better mathematicians and therefore mastering maths (having a deeper understanding). 
Once I have modelled one, the children can follow step-by-step to set one out (on paper). If they feel confident, they can explain the steps. Alongside this, I will model the quick way (which many children will have seen before). Modelling this I will show how 'borrowing a 1' from 'a neighbour' doesn't actually mean one but but 10 or one 100 (and I will refer to the expanded model). Once these are side by side, children are often quick to see the links between the two methods.
We will spend the second half of the lesson playing a dice game where the aim will be to make 1000 by subtracting two numbers. The closest to 1000 wins. Often children like to continue this game with family members to try to get to zero.
Children may wish to continue playing this at home or booking more sessions to apply their skills.
Students will improve their understanding of borrowing in the written methods of subtraction. 
Children may wish to continue playing this at home or booking more sessions to apply their skills.