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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 10MethodMathematics // Multiplication & Division
Prime numbersKnow 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 10ConceptMathematics // Multiplication & Division
Multiplicative ComparisonSolve word problems involving multiplicative comparison using drawings and equations with a symbol for the unknown number
Ages 9 to 10MethodMathematics // Multiplication & Division
Square and cube numbersRecognise and use square numbers and cube numbers, and the notation for squared (²) and cubed (³)
Ages 9 to 10ConceptMathematics // 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 11MethodMathematics // Multiplication & Division
Rounding AnswersSolve problems which require answers to be rounded to specified degrees of accuracy
Ages 10 to 11MethodMathematics // 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 11MethodMathematics // Multiplication & Division
Brackets in ExpressionsUse parentheses, brackets, or braces in numerical expressions and evaluate expressions containing these grouping symbols
Ages 10 to 11MethodMathematics // Multiplication & Division
Order of operationsUnderstand and apply the conventional order of operations (PEMDAS/BODMAS) to carry out calculations involving the four operations
Ages 10 to 11ConceptMathematics // Multiplication & Division
Writing Number SentencesWrite simple numerical expressions that record calculations with numbers, and interpret numerical expressions without evaluating them (e.g. recognise that 3 ×…
Ages 10 to 11RepresentationMathematics // Multiplication & Division
Decimal place valueMultiply one-digit numbers with up to two decimal places by whole numbers (e.g. 3.47 × 6)
Ages 10 to 11MethodMathematics // Multiplication & Division
Division with DecimalsUse written division methods in cases where the answer has up to two decimal places; divide decimals to hundredths by whole numbers
Ages 10 to 11MethodMathematics // Multiplication & Division
Multi-step problems: choosing operationsSolve problems involving addition, subtraction, multiplication, and division, deciding which operations and methods to use and why; solve multi-step problems in…
Ages 10 to 11MethodMathematics // 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 11MethodMathematics // Multiplication & Division
Estimation to check answers to calculationsUse estimation to check answers to calculations and determine, in the context of a problem, an appropriate degree of accuracy
Ages 10 to 11Thinking skillMathematics // Multiplication & Division
Mental calculation strategiesPerform mental calculations including with mixed operations and large numbers, using strategies such as partitioning, compensation, and derived facts
Ages 10 to 11MethodMathematics // Multiplication & Division
Dividing by two-digit numbersDivide 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 11MethodMathematics // Multiplication & Division
Using inverse operationsRecognise and use relationships between operations including inverse operations; use these relationships to check answers and simplify calculations
Ages 11 to 12ConceptMathematics // Multiplication & Division
Priority of operationsUse conventional notation for the priority of operations including brackets, powers, roots, and reciprocals; apply BIDMAS/BODMAS consistently to evaluate…
Ages 11 to 12ConceptMathematics // 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 12ConceptMathematics // Multiplication & Division
Sign Rules for MultiplicationMultiply and divide with positive and negative integers and rational numbers, understanding the rules for the sign of the product or quotient
Ages 11 to 13MethodMathematics // Number Representation & Place Value
Place Value × 10 PatternRecognise 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 10ConceptMathematics // 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 10MethodMathematics // Number Representation & Place Value
Negative numbers in contextInterpret negative numbers in context (temperature, sea level, bank balance); count forwards and backwards with positive and negative whole numbers, including…
Ages 9 to 10Concept