He demonstrated a sound understanding of the main concepts. He can identify equations in the form (y = mx + b), determine the values of (m) and (b), and use them to plot a linear graph accurately.

He should practise substituting values for (x) and completing simple algebraic calculations without relying on a calculator, such as evaluating (2x+1) when (x=2). He would also benefit from improving his comprehension of worded questions, particularly translating the information into an equation. Although he understands the skills when they are presented directly, he sometimes struggles to recognise when to apply them in less straightforward questions without additional explanation.

he lesson progressed smoothly, and he demonstrated that he could solve each type of question. He initially made a few mistakes when expanding brackets, but he overcame them with guidance. Overall, he has a strong understanding of the fundamental concepts covered.

He needs to present his working more precisely, particularly when writing fractions, as he sometimes reverses the numerator and denominator (e.g. writing (4/25) instead of (25/4)). He also needs more practice expanding brackets when there is a negative term outside the bracket.

The student was able to reach the correct answers independently, demonstrated a solid understanding of the fundamental concepts, and required only minimal guidance. Most support involved brief reminders rather than direct instruction.

The student needs to develop the habit of checking whether his answers are reasonable and correct. He also needs more practice with simple algebra, particularly rearranging equations to make the variable the subject, as he currently takes too long to complete these questions. His working out should be set out vertically, clearly, and in a logical sequence so that each step is easy to follow and makes mathematical sense.

The lesson went quite fluently. Marius learned the concept of letting a pronumeral represent an unknown value and writing algebraic expressions using it. For example, if John is 5 years older than Jack and Jack's age is represented by (x), then John's age can be written as (x + 5). He also learned how to solve simple algebraic questions that involve forming expressions and solving for (x).

There is still some inconsistency in Marius' answers. Although he often arrives at the correct solution after being prompted to reflect on his work, it is concerning whether he would independently identify and correct these mistakes without guidance. As the questions become more complex and involve multiple expressions, Marius tends to skip steps rather than working through the problem systematically. When questions involve more than one variable or several pieces of information, he is often unsure how to use the relationships given to reach the final answer. His familiarity with using pronumerals, particularly (x), can also be improved. For example, there are occasions where he interprets "two years later" as changing an age from (x) to (2x) rather than (x+2). With prompting, he is usually able to recognise and correct the mistake, but this raises concerns about whether he can apply these concepts independently. I would recommend completing additional homework and practice questions to build familiarity and confidence with algebraic expressions and equations, particularly focusing on showing all working and solving problems step-by-step.