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A big thank you to Izzy who worked with my daughter at short-notice and has very quickly restored the confidence that had faded. She is beginning to understand how to structure her essays to best effect. Your teaching style is very clear and approachable. the lessons are enjoyable and pass very quickly. You cover a lot of content. Wish I'd found you much sooner!!

Samantha, Parent from Cheshire

Why limit yourself to someone who lives nearby, when you can choose from tutors across the UK?

By removing time spent travelling, you make tuition more convenient, flexible and affordable

We've combined live video with a shared whiteboard, so you can work through problems together

All your Online Lessons are recorded. Make the most out of your live session, then play it back after

Usually we cover both subject knowledge and exam technique, although that can change depending on each individual student. Then we go through diagrams, and they ask questions, and we go from there.

Lots of students say that the classes are too big in school, or that they don't have time to ask teachers after Online Lessons. In my Online Lessons, we take time to explore things in a little in a bit more detail.

I always look up the board my students are taking so the Online Lessons are really relevant. Then we go through past papers or set texts, whatever the student finds helpful.

I use the shared whiteboard. We make diagrams together and label them, and often the student prints it off because they know it's right and they completely understand it.

After tutoring one girl went and told all her friends the new explanation I gave her. And she was so excited about what she wrote in the exam she emailed me immediately afterwards.

There was one girl who had her exam on Monday. She wanted tuition on Friday, Saturday and Sunday beforehand. It was very intense, but she said the exam went well.

Discussed in Interview

This question demonstrates how the exponential function can be used to simplify equations. In its current form the equation appears complex and the method is not clear. However, if we take the ln of both sides, we can simplfy this equation enormously: ln(y)=ln(2^x) Using the laws of logs we end up with the equation: ln(y)=xln(2). This can be differentiated easily via implicit differentiation to give: (1/y)(dy/dx)=ln(2). Multiplying by y gives: dy/dx=ln(2)y. The final step in this method is substituting our initial equation into this to give dy/dx=ln(2)2^x.

The reason this problem appears difficult is because taking ln of both sides is not an first obvious step. Furthermore, this method involves substituting an equation back into its derivative. Often this can throw people off as they do not initially calculate dy/dx in terms of x. The telltale sign of a problem like this is having a variable in a power.

The reason this problem appears difficult is because taking ln of both sides is not an first obvious step. Furthermore, this method involves substituting an equation back into its derivative. Often this can throw people off as they do not initially calculate dy/dx in terms of x. The telltale sign of a problem like this is having a variable in a power.

Oggi parlerò dei libri perché sono molto importante nella mia vita. Mi hanno aiutato moltissimo specialmente nel passato, quando volevo evitare il mondo reale. Anche, è necessario che dica i libri siano fondamentali per l’istruzione. Da bambina, leggevo ogni giorno, i libri come Cime tempestose e Orgoglio e pregiudizio. Pensavo che questi libri fossero difficile ma dopo averli letti, mi sentavo molto contenta, con un senso di affermazione. Comunque, qui all’università, non ho molto tempo per leggere, perché ci sono troppe cose da fare, ma quando ho il tempo, i libri mi aiutano a rilassarmi. Spero che possa leggere di più dopo i miei esami, adesso, leggo solamente per passare un’esame. Anche, non sono d’accordo con la gente che non ama leggere, perché pensa che sia molto noioso. Ho letto recentemente che qui in Inghilterra, il tasso di alfabetismo è troppo basso perché i bambini non leggono a scuola o a casa con la sua famiglia. Complessivamente, credo che i libri siano fondamentali nelle nostre vite. Se avessi più opportunità, leggerei per divertirmi ogni giorno.

A corrie is an armchair shaped depression on a mountain slope left by a cirque glacier. These are the steps leading to its formation: 1) Snow collects in a hollow on a mountain slope (normally the north facing slope in the Northern Hemisphere) and compacts into ice over several winters. 2) The ice gets heavy enough to flow under gravity and, using abrasion, carves out and deepens the “seat” of the armchair, while plucking and freeze-thaw processes steepen the head wall. 3) The glacier flows in a circular motion called “rotational slip” which concetrates the erosion at the base and lessens the erosion at the front, which allows the formation of a corrie lip from uneroded bedrock and deposited till. 4) The cirque glacier retreats to expose the armchair shaped depression in the rock face, sometimes leaving a meltwater lake called a “tarn” in the deep hollowed out “seat” of the armchair.

On the y-axis: if the graph is moved vertically **up **by 'n', its affecting the y value by a positive amount, so your (x,y) becomes (x,y+n) and your equation becomes y+n=f(x) rather than y=f(x), or equally becomes y=f(x)-n by rearranging the equation

On the x-axis: if the graph is moved horizontally to the**right**, so again by a positive amount 'n', your (x,y) becomes (x+n,y) as this time it's affecting the x value. The equation becomes y=f(x-n) rather than y=f(x).

The best way to understand these is by playing around and drawing some graphs, then putting the numbers into the equations and working them backwards -*draw out examples of this with the student. *But a way to remember the basis for the exam, is simply, if your graph is moved by a *positive amount n, *in either the x or y direction, then you *add this n on* to the co-ordinate value its affecting. For the equations, if it affects x you will get y=f(x-n) and in y, y=f(x)-n. So by being moved a positive amount n, this n is added to the co-ordinated, and minused from the equations __if__ y alone is the subject.

Tutoring points:patience, it may take the student a few times over to get this as it can be complicated and confusing to a lot of students, but it just takes time, practise and encouragment to play around with graphs student needs to understand that an equation can be expressed by y= or f(x)=student needs to know intial basic graphs such as x, x^{2}, ln(x) etc, this will depend on their specification this needs to be taught drawing each graph out!needs to be taught with equations so student understands having the f(x) and how to use this in exams

On the x-axis: if the graph is moved horizontally to the

The best way to understand these is by playing around and drawing some graphs, then putting the numbers into the equations and working them backwards -

Tutoring points:patience, it may take the student a few times over to get this as it can be complicated and confusing to a lot of students, but it just takes time, practise and encouragment to play around with graphs student needs to understand that an equation can be expressed by y= or f(x)=student needs to know intial basic graphs such as x, x

Answered by Georgina H.

Studies Physics at St Andrews

The plum pudding model was the idea of a positively charged sphere, with negative electrons dotted within it as the model of an atom. *easiest understood drawn out*A scientist named Rutherford did an experiment firiring positively charged alpha particles to a very thin sheet of gold, as close to 1 atom thin as possible. The experiment found that most alpha particles went straight through the gold without anything happening to them, only a small amount were deflected at big angles and an even smaller amount were backscattered. *again, best being drawn out*. The conclusions from this were that a very very small part of the atom must be positive, and that part must be concentrated in the centre due to the large angles. Also, most of the atom must have been empty space, as most of the alpha particles weren't affected. The plum pudding model was far from this, and so the new current nuclear model was formed from the results of this experiment. *draw out nuclear model*

So in summary:plum pudding model was a positive sphere with small negative electrons, and mass and charge spread equally throughoutthe Rutherford experiment found most alpha particles passed straight through thin gold foil, some at large angles and some were backscattered this meant most of the atom must be empty space, with a small concentrated positive central nucleus hence the nuclear model was created

So in summary:plum pudding model was a positive sphere with small negative electrons, and mass and charge spread equally throughoutthe Rutherford experiment found most alpha particles passed straight through thin gold foil, some at large angles and some were backscattered this meant most of the atom must be empty space, with a small concentrated positive central nucleus hence the nuclear model was created

Answered by Georgina H.

Studies Physics at St Andrews

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