Is able to plug values into the correct spot in derivative formulas. When helped with understanding notation, they can apply basic algebraic skills to adequately attempt to solve for the derivative function. Understands the qualitative meaning behind a constant rate of change and how that is graphically a horizontal line of zero gradient.

More improvement is required in finding the derivatives of functions, practice applying the power, product, and quotient rule for differentiation rather than attempting to use first principles. Revise algebraic techniques to such as exponent and logarithmic laws to apply to differentiation. Become more familiar with mathematically describing and understanding constant and non-constant rates of change using the second derivative. familiarise themselves with increasing and decreasing rates of change.

Given a complex curved graph, they can use the final point to calculate an average rate of change of a graph. Is able to sub in x values to find corresponding y values of 2 points and then compute the gradient of the line between them. Shows an intuition of how the steepness of gradients relates to the rate of change. When given two points, where point 2 is moves by a value of h, where p = (x+h, f(x+h), they can show some understanding of applying rise over run to derive first principles. Shows an adequate understanding of applying first principles to simple formulas and setting h = 0.

Gain more intuition of the shape of tangents to curves and how they signify rates of change. Gain more of an understanding of the derivation of differentiation by first principles. Practice applying and understanding limits in general and how they apply to the first principles formula.

Shows an understanding of the fundamental aspects of a light bulb. Is able to identify the project interest and uses some scientific descriptive language such as filament, heat, electricity. Shows an understanding of the basic circuit for the light bulb.

Introduce more technical language and refer to physics module content to link it to the project. E.g. circuits and electricity. Improve researching skills by analysing source reliability and searching multiple reliable sources. Understand key words such as identify, explain, describe, justify in order to correctly word paragraphs and answer questions. Further describe the circuit dynamics using formulae such as ohms law, as well as experimental data using tools. Describe how the tools work using formulas, such as the inverse square law. Apply IDEA (Identify, Describe, Explain, Analyse) to correctly structure paragraphs.

Understands mathematically how to use the electrostatic force equation. Understands what the symbols signify in formulas, but it is important to memorise. Can apply this knowledge in plugging in values into the formula correctly. When all values are correct, they can use the calculator correctly to find the final solution. Can identify the relationship between the electo-static force and the distance between charged particles.

For physics, rather than advanced math, it is important to gain a further understanding qualitatively and visually what the equations signify. Practice converting values to SI units and revise common SI units and conversions, e.g. to convert from micro you apply x 10^{-6} (Times 10 to the negative 6) Revise applications of trigonometry and vectors: - Vector components, addition and subtraction of vectors. - Triangular method and parallelogram method for resolving vectors. Gain more of an intuition on the dynamics of forces at play with charged particles: - Like and unlike forces of attraction and repulsion. - Visualisation of particles. - Revise inverse proportionality and basic linear functions.