What you’ll learn5 learning objectivesChoose one objective for a focused lesson, or study the complete topic.—M.1-Arithmetic, standard form and significant figuresUse decimal and standard form notation, calculators, means, powers, roots, trigonometric functions, justified significant figures and approximations to check calculated magnitudes.Syllabus objective—M.2-Algebra, models, units and dimensional consistencyChange 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.Syllabus objective—M.3-Geometry, trigonometry and vectorsUse areas, volumes, Pythagoras, triangle similarity, trigonometric relationships, vector addition and resolution into perpendicular components in physical contexts.Syllabus objective—M.4-Graphs, gradients, intercepts and areasSelect 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.Syllabus objective—M.5-A Level radians, exponentials and logarithmsUse 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.Syllabus objective