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# National Curriculum: Number - KS3

Created on 14 October 2013 by ncetm_administrator
Updated on 04 June 2014 by ncetm_administrator

# National Curriculum: Number - Key Stage 3

Pupils should be taught to:

• understand and use place value for decimals, measures and integers of any size
• order positive and negative integers, decimals and fractions; use the number line as a model for ordering of the real numbers; use the symbols =, ≠, <, >, ≤, ≥
• 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
• 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 conventional notation for the priority of operations, including brackets, powers, roots and reciprocals
• recognise and use relationships between operations including inverse operations
• 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
• interpret and compare numbers in standard form A × 10n 1≤A>10, where n is a positive or negative integer or zero
• work interchangeably with terminating decimals and their corresponding fractions
(such as 3.5 and 72 or 0.375 and 38)
• define percentage as ‘number of parts per hundred’, interpret percentages and percentage changes as a fraction or a decimal, interpret these multiplicatively, express one quantity as a percentage of another, compare two quantities using percentages, and work with percentages greater than 100%
• interpret fractions and percentages as operators
• use standard units of mass, length, time, money and other measures, including with decimal quantities
• round numbers and measures to an appropriate degree of accuracy [for example, to a number of decimal places or significant figures]
• use approximation through rounding to estimate answers and calculate possible resulting errors expressed using inequality notation a<xb
• use a calculator and other technologies to calculate results accurately and then interpret them appropriately
• appreciate the infinite nature of the sets of integers, real and rational numbers

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