What you’ll learn5 learning objectivesChoose one objective for a focused lesson, or study the complete topic.—M.1—Arithmetic, rounding, percentages, means and significant figuresPerform addition, subtraction, multiplication and division; understand integers; estimate numerical expressions; round numbers correctly; give answers to appropriate significant figures; calculate percentages, convert fractions and percentages, and calculate arithmetic means.Syllabus objective—M.2—Unit conversions, standard form, logs and algebraConvert cm3, dm3 and m3; nm and m; Pa and kPa; seconds and minutes; mg, g, kg and tonne; Celsius and Kelvin; J and kJ. Use standard form, logarithms for pH, powers, roots and reciprocals; rearrange formulae; substitute quantities with consistent units; solve simple algebraic equations.Syllabus objective—M.3—Graphs, proportionality, gradients and interceptsTest direct proportionality by graph or constant ratio; choose variables and scales; plot linear graphs of y = mx + c; determine and interpret gradient and intercept; choose best-fit lines or curves; use plotted points marked as crosses or circled dots.Syllabus objective—M.4—Curves, models, logarithms and core chemical formulaeInterpret tangent gradients as rates of change and areas under curves where physically meaningful; estimate orders of magnitude; set up simple algebraic models such as rate equations and identify limitations; use log x and ln x; calculate density, concentration and number of moles.Syllabus objective—M.5—Key quantities, symbols and unitsUse key quantities, symbols and units correctly, including mass, length, time, current, temperature, amount of substance, Avogadro constant, potential difference, charge, Faraday constant, half-life, Kw, R, Ar, Mr, E standard, enthalpy change and volume.Syllabus objective