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Mathematical, data, formula and circuit-symbol skills

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4 topics · 12 learning objectives

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  1. Mathematical requirements

    1. M.1-Arithmetic, standard form and significant figures

      Use decimal and standard form notation, calculators, means, powers, roots, trigonometric functions, justified significant figures and approximations to check calculated magnitudes.

    2. M.2-Algebra, models, units and dimensional consistency

      Change the subject of equations, solve simple and simultaneous equations, use the quadratic formula, substitute quantities with consistent units, check dimensional consistency, use percentages and interpret mathematical symbols.

    3. M.3-Geometry, trigonometry and vectors

      Use areas, volumes, Pythagoras, triangle similarity, trigonometric relationships, vector addition and resolution into perpendicular components in physical contexts.

    4. M.4-Graphs, gradients, intercepts and areas

      Select variables and scales, determine gradients/intercepts/intersections, draw best-fit or curved trend lines, recognise common graph forms, use tangents to curves and use area under a curve where physically meaningful.

    5. M.5-A Level radians, exponentials and logarithms

      Use radians, small-angle approximations, exponentials and logarithms, recognise logarithmic forms of products, quotients, powers and exponentials, and use logarithmic plots to test exponential or power-law variation.

  2. Key quantities, symbols and units

    1. Q.1-Base quantities, symbols and SI units

      Use the syllabus conventions for base quantities and common physical quantities, including usual symbols and units for mechanics, waves, electricity, fields, thermal physics, quantum/nuclear physics, medical physics and astronomy.

    2. Q.2-Quantity notation and unit interpretation in answers

      Interpret and write physical quantities with appropriate symbols, prefixes, derived units and dimensions, and distinguish quantities that use similar symbols in different contexts.

  3. Supplied data and formulae

    1. D.1-Supplied constants and data

      Use supplied constants such as g, c, e, u, particle masses, Avogadro constant, gas constant, Boltzmann constant, gravitational constant, permittivity of free space, Planck constant and Stefan-Boltzmann constant.

    2. D.3-A Level formulae supplied in Paper 4

      Select and apply supplied A Level formulae for gravitational potential, ideal gases, simple harmonic motion, electric potential, capacitors, Hall voltage, alternating current, radioactive decay, acoustic impedance, Stefan-Boltzmann law and Doppler redshift.

    3. D.4-Choosing formulae without losing physical reasoning

      Decide whether a supplied formula is appropriate, identify each variable, convert units, rearrange correctly and explain the physical meaning of the result rather than relying on substitution alone.

  4. Circuit symbols

    1. C.1-Circuit symbols used in examination papers

      Recognise, use and interpret the circuit symbols that may appear in examination papers, including cells, batteries, power supplies, switches, conductors, lamps, resistors, thermistors, LDRs, meters, diodes, capacitors, oscilloscopes and transducers.

    2. C.2-Drawing and interpreting circuit diagrams

      Draw and interpret circuit diagrams using the official symbol set, connecting symbol recognition to current, potential difference, resistance, component behaviour and measurement choices.