Recognise and use relationships between operations including inverse operations.
Use the four operations, including formal written methods, applied to integers, decimals, proper and improper fractions, and mixed numbers, all both positive and negative.
Use standard units of mass, length, time, money and other measures, including with decimal quantities.
Work with coordinates in all four quadrants.
Use integer powers and associated real roots (square, cube and higher), recognise powers of 2, 3, 4, 5 and distinguish between exact representations of roots and their decimal approximations.
Use conventional notation for the priority of operations, including brackets, powers, roots and reciprocals.
Move freely between different numerical, algebraic, graphical and diagrammatic representations [for example, equivalent fractions, fractions and decimals, and equations and graphs].
Order positive and negative integers, decimals and fractions; use the number line as a model for ordering of the real numbers; use the symbols =, ≠, <, >, ≤, ≥.
Understand and use place value for decimals, measures and integers of any size.
Use the concepts and vocabulary of prime numbers, factors (or divisors), multiples, common factors, common multiples, highest common factor, lowest common multiple, prime factorisation, including using product notation and the unique factorisation property.
Track each student's skills and progress in your Mastery dashboards