UK-KS3-MATH-N — opens in a new tab
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 4 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 x 10^(n) 1≤A<10, where n is a positive or negative integer or 0
work interchangeably with terminating decimals and their corresponding fractions (such as 3.5 and 7/2 or 0.375 and 3/8)
define percentage as ‘number of parts per hundred’, interpret percentages and percentage changes as a fraction or a decimal, interpret these multiplicatively, express 1 quantity as a percentage of another, compare 2 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<x≤b
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
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 4 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 x 10^(n) 1≤A<10, where n is a positive or negative integer or 0
work interchangeably with terminating decimals and their corresponding fractions (such as 3.5 and 7/2 or 0.375 and 3/8)
define percentage as ‘number of parts per hundred’, interpret percentages and percentage changes as a fraction or a decimal, interpret these multiplicatively, express 1 quantity as a percentage of another, compare 2 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<x≤b
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
28 resources
24-Hour Time & Timetables Year 6 Unit
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24-Hour Time and Timetables – Year 6
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Adding and Subtracting Fractions — Year 6
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Area Unit Plan — Years 5-6
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Comparing and Ordering Fractions – Year 6
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Converting Measurements Year 6 Unit
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Dazzling Discounts — Year 6 Maths Unit
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Decimal Addition and Subtraction Unit
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Discounts Year 6 Maths Unit
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Fractions of Whole Numbers — Year 6
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Fractions, Decimals and Percentages – Year 6
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Multiplying and Dividing Decimals – Year 6
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Number-Property Problem Solvers — Year 6
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Order of Operations - Year 6 Maths Unit
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Order of Operations Year 6 Maths Unit
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Prove a Number's Properties - Year 6
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Squares and Overlapping Categories — Year 6 Maths Unit
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Year 6 Adding and Subtracting Decimals Unit
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Year 6 Area Unit
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Year 6 Decimal Addition and Subtraction Variety Pack | 2 Maths Units
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Year 6 Fractions of a Whole Unit
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Year 6 Negative Integers Unit
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Year 6 Number Properties Unit Plan
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Year 6 Order of Operations Variety Pack | 2 Maths Units
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Year 6 Powers of Ten Unit
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Year 6 Problem Solving Unit
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Year 6 Volume and Capacity Unit
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Years 5-6 Adding and Subtracting Fractions Variety Pack | 3 Maths Units
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