Number
Understanding numbers and number systems
Place Value and Large Numbers
Understand how each digit position changes a number from ones through to millions.
Rounding and Estimating
Round whole numbers and use estimation to make calculations easier to check.
Addition and Subtraction
Use efficient column methods to add and subtract large numbers accurately.
Multiplication and Division
Build fluency with times tables, long multiplication and short division.
Money and Decimals
Work confidently with pounds, pence, decimal notation, prices and change.
Fractions of Quantities
Master equivalent fractions, mixed numbers and calculating fractions of amounts.
Percentages
Convert between fractions, decimals and percentages, and calculate percentage amounts, increases and decreases.
Ratio and Proportion
Compare quantities using ratios, simplify ratios, divide amounts in a given ratio, and solve proportion problems using the unitary method.
Negative Numbers
Work confidently with negative numbers on a number line, in temperature problems, and in calculations.
Prime Numbers and Prime Factors
Identify prime numbers, build factor trees, and use prime factorisation to find HCF and LCM.
Square, Cube and Triangular Numbers
Recognise and use square numbers, cube numbers, square roots and triangular numbers.
Powers, Roots and Roman Numerals
Understand and use powers (indices), square and cube roots, and convert numbers to and from Roman numerals.
Divisibility Rules
Apply quick divisibility rules for 2, 3, 4, 5, 6, 8, 9 and 10 to test numbers without dividing.
Order of Operations (BIDMAS)
Apply BIDMAS to evaluate expressions involving brackets, indices, multiplication, division, addition and subtraction.
Consecutive and Special Numbers
Explore consecutive integers, sum of consecutive numbers, palindromic numbers, and perfect numbers.
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