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  • Mathematics // Multiplication & Division

    Mental multiplication and division (age 9+)

    Multiply and divide numbers mentally drawing upon known facts, including related facts and place-value adjustments

    Ages 9 to 10Method
  • Mathematics // Multiplication & Division

    Prime numbers

    Know and use the vocabulary of prime numbers, prime factors, and composite numbers; establish whether a number up to 100 is prime; recall prime numbers up to 19

    Ages 9 to 10Concept
  • Mathematics // Multiplication & Division

    Multiplicative Comparison

    Solve word problems involving multiplicative comparison using drawings and equations with a symbol for the unknown number

    Ages 9 to 10Method
  • Mathematics // Multiplication & Division

    Square and cube numbers

    Recognise and use square numbers and cube numbers, and the notation for squared (²) and cubed (³)

    Ages 9 to 10Concept
  • Mathematics // Multiplication & Division

    Long multiplication (age 10+)

    Fluently multiply multi-digit whole numbers (up to 4 digits by 2 digits) using the formal written method of long multiplication

    Ages 10 to 11Method
  • Mathematics // Multiplication & Division

    Rounding Answers

    Solve problems which require answers to be rounded to specified degrees of accuracy

    Ages 10 to 11Method
  • Mathematics // Multiplication & Division

    Division with remainders (age 10+)

    Divide numbers up to 4 digits by a two-digit divisor using formal written long division, interpreting remainders as whole numbers, fractions, or by rounding as…

    Ages 10 to 11Method
  • Mathematics // Multiplication & Division

    Brackets in Expressions

    Use parentheses, brackets, or braces in numerical expressions and evaluate expressions containing these grouping symbols

    Ages 10 to 11Method
  • Mathematics // Multiplication & Division

    Order of operations

    Understand and apply the conventional order of operations (PEMDAS/BODMAS) to carry out calculations involving the four operations

    Ages 10 to 11Concept
  • Mathematics // Multiplication & Division

    Writing Number Sentences

    Write simple numerical expressions that record calculations with numbers, and interpret numerical expressions without evaluating them (e.g. recognise that 3 ×…

    Ages 10 to 11Representation
  • Mathematics // Multiplication & Division

    Decimal place value

    Multiply one-digit numbers with up to two decimal places by whole numbers (e.g. 3.47 × 6)

    Ages 10 to 11Method
  • Mathematics // Multiplication & Division

    Division with Decimals

    Use written division methods in cases where the answer has up to two decimal places; divide decimals to hundredths by whole numbers

    Ages 10 to 11Method
  • Mathematics // Multiplication & Division

    Multi-step problems: choosing operations

    Solve problems involving addition, subtraction, multiplication, and division, deciding which operations and methods to use and why; solve multi-step problems in…

    Ages 10 to 11Method
  • Mathematics // Multiplication & Division

    Multiplying and dividing (age 10+)

    Multiply and divide numbers by 10, 100, and 1000 giving answers up to three decimal places, understanding that digits shift position in the place-value chart

    Ages 10 to 11Method
  • Mathematics // Multiplication & Division

    Estimation to check answers to calculations

    Use estimation to check answers to calculations and determine, in the context of a problem, an appropriate degree of accuracy

    Ages 10 to 11Thinking skill
  • Mathematics // Multiplication & Division

    Mental calculation strategies

    Perform mental calculations including with mixed operations and large numbers, using strategies such as partitioning, compensation, and derived facts

    Ages 10 to 11Method
  • Mathematics // Multiplication & Division

    Dividing by two-digit numbers

    Divide numbers up to 4 digits by a two-digit number using formal written short division where appropriate, interpreting remainders according to context

    Ages 10 to 11Method
  • 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 // Multiplication & Division

    Sign Rules for Multiplication

    Multiply and divide with positive and negative integers and rational numbers, understanding the rules for the sign of the product or quotient

    Ages 11 to 13Method
  • 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

    Reading and writing numbers (age 9+)

    Read, write, order, and compare whole numbers up to at least 1,000,000 using base-ten numerals, number names, expanded form, and place-value understanding

    Ages 9 to 10Method
  • 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