Structure and calculation
Groups
Place value and written methods
What each digit is worth, comparing numbers, and the four written methods.
Powers and roots
Index notation, powers worth recalling, and roots as the inverse of a power.
Directed number and the order of operations
Arithmetic with negatives, the order of operations, and checking the result.
Factors, multiples, primes and counting
What a prime factorisation tells you, and listing without repeats or gaps.
The index laws
The index laws, extended to zero, negative and fractional powers.
Working in standard form
A digit string times a power of ten, ordered and calculated with. Both tiers.
Calculator methods and exact answers
Entering a calculation correctly, and when a value should stay as a symbol.
Rational, irrational and surds
Where a number sits in the number system, and Higher-tier surd arithmetic.