Year 10 Mathematics Notes

Compare exact and approximate representations and analyse how repeated rounding affects numerical results.

Expand, factorise and simplify algebraic expressions, including powers and polynomial forms.

Solve linear inequalities and pairs of simultaneous linear equations algebraically and graphically.

Recognise, represent and solve exponential relations in which equal input steps multiply outputs by a constant factor.

Compare linear and exponential models, use them for growth or decay and state limitations of model predictions.

Use function notation and digital tools to test conjectures, identify invariants and construct general arguments.

Solve surface-area and volume problems involving composite solids and state assumptions used in models.

Use right-triangle trigonometry to solve problems involving bearings, direction, elevation and depression.

Construct deductive proofs using definitions, established angle and congruence properties and clearly linked statements.

Represent practical networks and use vertices, edges, paths and connectivity to compare routes and structures.

Design, test and refine algorithms that generate spatial patterns or solve geometric problems.

Interpret base-10 logarithmic scales and compare multiplicative changes represented by equal scale intervals.

Use absolute and percentage error, bounds and calculator-supported working to judge the accuracy of measurement results.

Model direct and inverse proportional relationships and solve unfamiliar scaling problems across length, area and volume.

Evaluate statistical claims by examining sampling, representation, variability, causation, ethics and stakeholder impact.

Represent and compare continuous data using histograms, boxplots, quartiles and distribution features.

Conduct bivariate investigations, describe association and use fitted models while distinguishing association from causation.

Use two-way tables, tree diagrams, conditional probabilities and simulations to solve multi-stage chance problems.