What you’ll learn6 learning objectivesChoose one objective for a focused lesson, or study the complete topic.7.3.1Numerical and algebraic calculations• Use arithmetic, decimals, fractions, percentages, ratios, reciprocals, comparisons and standard form; round final answers appropriately; estimate; use indices, consistent units, formulas, direct and inverse proportion, mathematical models and Δ for changes in variables.Syllabus objective7.3.2Geometry, measurement and unit conversion• Use geometry, circumference, areas, volumes, scale diagrams, Pythagoras’ theorem, angles, mathematical instruments, compass directions and metric unit conversions in physical contexts.Syllabus objective7.3.3Graphs, charts and statistics• Draw and interpret graphs and charts; interpolate and extrapolate; determine gradients and intercepts; select scales and axes; use y = mx + c, recognise direct proportionality and calculate means.Syllabus objective7.3.4Record readings and tabulated data• Read instruments to half a smallest division where appropriate; record precision, units, repeated readings and significant figures correctly; use quantity/unit table headings and express ratios as x : y.Syllabus objective7.3.5Plot and analyse physical data• Plot variables on labelled axes with sensible scales; mark points accurately; draw and interpret best-fit lines or curves, anomalies, intercepts and gradients using suitably large triangles.Syllabus objective7.3.6Extended trigonometry and curve gradients• Use sine, cosine, tangent and inverse trigonometric functions, and determine the gradient of a curve by drawing a tangent.Syllabus objective