Year 8 Mathematics Notes

Recognise irrational numbers in practical contexts, estimate square roots and distinguish exact values from approximations.

Apply exponent notation and the product, quotient, power-of-a-power and zero-exponent laws to numerical expressions.

Recognise terminating and recurring decimals and convert familiar recurring decimals to fractions using place-value reasoning.

Choose and apply efficient operations with integers, fractions and decimals, including brackets and powers.

Model percentage increase and decrease, discounts, profit and loss and simple financial decisions.

Expand, factorise and simplify linear expressions using the distributive, associative and commutative properties.

Solve linear equations and inequalities using inverse operations and represent inequality solutions correctly.

Form and solve linear equations from practical situations and interpret the solution in its context.

Represent linear functions in tables, rules and graphs, test conjectures and generalise patterns.

Calculate perimeter and area of composite shapes by decomposing them and accounting for shared or missing boundaries.

Calculate volumes of right prisms and connect cubic units with practical capacity.

Use radius, diameter, circumference and area formulas and interpret circular measurements in practical contexts.

Solve duration and time-zone problems using 12-hour and 24-hour time, date changes and timetables.

Use ratios, rates and unit rates to model scale, speed, concentration and other practical relationships.

Use Pythagoras' theorem to find unknown side lengths and test whether triangles are right-angled.

Use congruence and similarity conditions and angle or side properties to reason about triangles and quadrilaterals.

Represent locations in three dimensions and design or follow algorithms that generate geometric patterns and transformations.

Plan data collection, choose samples and describe distributions using appropriate displays and summary measures.

Use repeated samples to understand sampling variation and make cautious evidence-based inferences about populations.

Use complements, two-step sample spaces and simulations to calculate and estimate probabilities.