Last week's pythagoras questions were correctly completed with all the working out. Revised current topic of statistics and Katie applied definitions from her school work to the tute Worked examples from maths textbook to illustrate how to work through questions and I've provided the downloadable link to the textbook for online access

Small improvement needed - to include units of measurements in word problems. I will mention this in the homework discussion next week

Katie applies the pythagoras equation to simple word problems and we can now work towards some challenging questions, to consolidate her learning two hw questions are from pythagoras this week. She is able to work with fractions independently in tute questions and to consolidate her learning, I've provided homework questions; this topic is useful for ratios/rates, basic numeracy and algebra topics. Katie is feeling more confident working with curds and squares as her last tutorials have helped grasp this concept.

In this last week's homework, Katie made a few errors with applying the pythagoras formula. She was able to remember the formula correctly, but she made an error in squaring numbers. iN this week's tutorial, we went over this question with the correct working out to help address this issue. And I have also given two questions in this week's homework to help Katie get more practise with this topic. We went over addition of fractions in this week's tutorial as Katie did not correctly complete addition of fractions in last week's question. I've added hints to help remind Katie how to add fractions of different denominators and hopefully this week's questions will help her practise this method.

* Last tutorial's hw questions on simple sample space, probabilities using dice, sum of all probabilities = 1. Katie got all the questions correct in these concepts in probability. * Katie used 'total' to accurately add fractions in word problem. * Katie did addition of fractions correctly with some help. She is getting more familiar with the concept of having the same denominator when adding fractions which is an area she has improved in from the last two tutorials. * She has been actively applying the key concepts she has been learning in her tutorials. I have been explaining the basic concepts frequently and doing enough practise questions to help Katie remember and practise doing questions on her own. Formula and points are written in coloured boxes to help memorise definitions/formula

* Additional practise from a maths textbook will be helpful if Katie would like to do extra practise questions outside of the tutorial and tute homework. I've been making sure Katie has grasped the basics well before she does more challenging questions, but I do set a few challenging questions in the tute hw to encourage Katie to expand her problem solving skills by trying multistep problems and applying the basics. * We've been practising more square root questions, to become more familiar with the concept and the symbol and apply the definition of square root. This will be very useful when solving equations with sqrt(x) or x^2 and in quadratics and pythagoras topic in years 9/10. * Another area of improvement is working with fractions: addition of fractions requires having the same denominator. Katie has been practising and improving in this topic as repetition is essential for remembering the basics of working with fractions.

Katie worked well with simple index/power problems in her last week's homework however, there were some errors. We went over her two errors in this lesson - one from algebra and another from division of fractions. Katie worked well with probability questions but we are still revising this topic as needed. Katie did very in applying the pythagoras equation to various problems from easy to difficult levels. This week's tutorial hw includes 2 questions on pythagoras - an easy and a harder problem to help consolidate this topic.

- we went over indices again in this tutorial to remember that 3x is different from x^3 due to repeating addition and repeating multiplcaition respectively - Rememebering how to divide with fractions that is by 'flipping' the fraction; used images and word play such as 're"flip"rocal' instead of reciprocal to assist in learning this lesson. We will work on the division with fractions in next tutorial's homework and session. - more revision in ratio and rates is needed, the next tutorial will focus more on ratios. And this week's HW includes one question on ratios for Katie to attempt so we can discuss the worked solution step by step in next tutorial