Mathematics

Year 10 core: effect of rounding and truncation on repeated calculations, exact vs approximate representations, and comparing results in exact and decimal form.

Year 10 core: factorising common factors, exponent laws for products and quotients, algebraic fractions, expanding binomials, factorising quadratics, and rearranging formulas.

Year 10 core: solving quadratics by factorisation, completing the square and the quadratic formula, using the discriminant to determine the number of solutions.

Year 10 core: solving pairs of linear equations graphically and algebraically using substitution and elimination, with applications to break-even and real-world problems.

Year 10 core: solving linear equations from formulas, linear inequalities, graphing inequality regions, and properties of parallel and perpendicular lines.

Year 10 core: sketching and interpreting parabolas, circles, exponential curves, and hyperbolas -- the key non-linear graphs.

Year 10 core: understanding exponential functions y = a times b to the x, distinguishing growth from decay, solving simple exponential equations, and modelling with half-life and doubling time.

Year 10 core: comparing simple and compound interest, using the compound interest formula, calculating depreciation, and solving financial modelling problems.

Year 10 core: surface area and volume of composite objects formed from prisms and cylinders, with practical applications in packaging, tanks, and construction.

Year 10 core: understanding logarithmic scales, orders of magnitude, reading Richter/decibel/pH scales, and choosing between log and linear representations.

Year 10 core: applying Pythagoras' theorem in three dimensions, angles of elevation and depression, bearings and navigation, and understanding the impact of measurement errors.

Year 10 core: constructing deductive proofs involving congruent triangles, angle properties, and circle theorems to solve spatial problems.

Year 10 core: vertices and edges, network diagrams for real situations, degree of a vertex, connected graphs, Euler's formula, Eulerian paths and circuits, and practical applications.

Year 10 core: five-number summary, constructing and interpreting boxplots, IQR and outlier detection, comparing distributions, two-way tables for categorical data, and analysing statistical claims.

Year 10 core: bivariate data, constructing scatterplots, describing association (strength, direction, form), line of good fit by eye, interpolation vs extrapolation, and correlation vs causation.

Year 10 core: conditional probability P(A|B), 'given that' language, independent vs dependent events, sampling without replacement, two-way tables, and tree diagrams with conditional branches.