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  • Mathematics // Multiplication & Division

    Using inverse operations

    Recognise and use relationships between operations including inverse operations; use these relationships to check answers and simplify calculations

    Ages 11 to 12Concept
  • Mathematics // Multiplication & Division

    Priority of operations

    Use conventional notation for the priority of operations including brackets, powers, roots, and reciprocals; apply BIDMAS/BODMAS consistently to evaluate…

    Ages 11 to 12Concept
  • Mathematics // Multiplication & Division

    Factors, multiples, and primes (age 11+)

    Use the concepts and vocabulary of prime numbers, factors, multiples, common factors, common multiples, highest common factor (HCF), lowest common multiple…

    Ages 11 to 12Concept
  • Mathematics // Number Representation & Place Value

    The teen numbers

    Understand that the teen numbers (11–19) are composed of ten ones and some further ones (early place value)

    Ages 5 to 7Concept
  • Mathematics // Number Representation & Place Value

    A Ten Is Ten Ones

    Understand that 10 can be thought of as a bundle of ten ones — called a 'ten'

    Ages 6 to 7Concept
  • Mathematics // Number Representation & Place Value

    The two digits of a two-digit number

    Understand that the two digits of a two-digit number represent amounts of tens and ones

    Ages 6 to 7Concept
  • Mathematics // Number Representation & Place Value

    The multiples of 10

    Understand that the multiples of 10 (10, 20, 30 … 90) represent one to nine tens and 0 ones

    Ages 6 to 7Concept
  • Mathematics // Number Representation & Place Value

    A Hundred Is Ten Tens

    Understand that 100 can be thought of as a bundle of ten tens — called a 'hundred'

    Ages 7 to 8Concept
  • Mathematics // Number Representation & Place Value

    The three digits of a three-digit number

    Understand that the three digits of a three-digit number represent amounts of hundreds, tens, and ones

    Ages 7 to 8Concept
  • Mathematics // Number Representation & Place Value

    The multiples of 100

    Understand that the multiples of 100 (100–900) each represent a number of hundreds with 0 tens and 0 ones

    Ages 7 to 8Concept
  • Mathematics // Number Representation & Place Value

    Odd or Even

    Determine whether a group of objects (up to 20) has an odd or even number of members

    Ages 7 to 8Concept
  • Mathematics // Number Representation & Place Value

    Place value of each digit

    Recognise the place value of each digit in a four-digit number (thousands, hundreds, tens, and ones)

    Ages 8 to 9Concept
  • Mathematics // Number Representation & Place Value

    Negative Numbers

    Count backwards through zero to include negative numbers

    Ages 8 to 9Concept
  • Mathematics // Number Representation & Place Value

    Roman numerals to 100

    Read Roman numerals to 100 (I to C) and understand that the numeral system changed over time to include zero and place value

    Ages 8 to 9Concept
  • Mathematics // Number Representation & Place Value

    Place Value × 10 Pattern

    Recognise that in a multi-digit whole number, a digit in one place represents ten times what it represents in the place to its right (e.g. 700 ÷ 70 = 10)

    Ages 9 to 10Concept
  • Mathematics // Number Representation & Place Value

    Negative numbers in context

    Interpret negative numbers in context (temperature, sea level, bank balance); count forwards and backwards with positive and negative whole numbers, including…

    Ages 9 to 10Concept
  • Mathematics // Number Representation & Place Value

    Roman numerals to 1000

    Read Roman numerals to 1000 (M) and recognise years written in Roman numerals

    Ages 9 to 10Concept
  • Mathematics // Number Representation & Place Value

    Place Value × 10 and ÷ 10

    Recognise that in a multi-digit number, a digit in one place represents 10 times as much as in the place to its right and 1/10 of what it represents in the…

    Ages 10 to 11Concept
  • Mathematics // Number Representation & Place Value

    Reading Decimal Places

    Identify the value of each digit in numbers given to three decimal places (e.g. in 4.378, the 7 represents 7 hundredths)

    Ages 10 to 11Concept
  • Mathematics // Number Representation & Place Value

    Patterns with Powers of Ten

    Explain patterns in zeros when multiplying by powers of 10 and in decimal-point placement when multiplying/dividing by a power of 10; use whole-number exponents…

    Ages 10 to 11Concept
  • Mathematics // Number Representation & Place Value

    Fractions on a number line

    Understand and use place value for decimals, measures, and integers of any size; extend the number system to include all positive and negative integers…

    Ages 11 to 12Concept
  • Mathematics // Number Representation & Place Value

    Numbers on a number line

    Understand the absolute value of a rational number as its distance from zero on the number line; interpret absolute value as magnitude in real-world contexts…

    Ages 11 to 12Concept
  • Mathematics // Number Representation & Place Value

    Number Sets & Infinity

    Appreciate the infinite nature of the sets of integers, real numbers, and rational numbers; position integers on a number line and distinguish between rational…

    Ages 13 to 14Concept
  • Mathematics // Probability

    Equally Likely Outcomes

    Understand that 'equally likely' means every outcome has exactly the same chance of occurring; identify whether a given situation has equally likely outcomes (a…

    Ages 9 to 10Concept