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Mathematics // Multiplication & Division
Patterns in Times TablesIdentify arithmetic patterns (including patterns in the addition table or multiplication table) and explain them using properties of operations
Ages 8 to 9ConceptMathematics // Multiplication & Division
Multiplying by TensMultiply one-digit whole numbers by multiples of 10 in the range 10–90 using strategies based on place value and properties of operations
Ages 8 to 9MethodMathematics // Multiplication & Division
Mental multiplication and divisionUse place value, known and derived facts to multiply and divide mentally, including multiplying by 0 and 1, dividing by 1, and multiplying together three…
Ages 8 to 9MethodMathematics // Multiplication & Division
Multiplication and Division Word ProblemsUse multiplication and division within 100 to solve word problems involving equal groups, arrays, and measurement quantities
Ages 8 to 9MethodMathematics // Multiplication & Division
Unknown in Multiplication & DivisionDetermine the unknown whole number in a multiplication or division equation relating three whole numbers (e.g. 8 × ? = 48, ? × 6 = 42)
Ages 8 to 9MethodMathematics // Multiplication & Division
Long multiplicationMultiply a whole number of up to four digits by a one-digit number, and multiply two two-digit numbers, using formal written methods including long…
Ages 9 to 10MethodMathematics // Multiplication & Division
Division with remaindersSolve multi-step word problems using the four operations with whole numbers, including interpreting remainders in context; represent with equations using a…
Ages 9 to 10MethodMathematics // Multiplication & Division
Short division with remaindersDivide numbers up to four digits by a one-digit number using short division (and place-value/array strategies); interpret remainders appropriately for the…
Ages 9 to 10MethodMathematics // Multiplication & Division
Factors, multiples, and primesFind all factor pairs for a whole number in the range 1–100; identify common factors and common multiples of two numbers; use these concepts to solve problems
Ages 9 to 11ConceptMathematics // Multiplication & Division
Multiplying and dividingMultiply and divide whole numbers and those involving decimals by 10, 100, and 1000
Ages 9 to 10MethodMathematics // Multiplication & Division
Multiplicative ComparisonInterpret a multiplication equation as a comparison (e.g. 35 = 5 × 7 means 35 is 5 times as many as 7); represent verbal statements of multiplicative…
Ages 9 to 10ConceptMathematics // Multiplication & Division
Shape patternsGenerate a number or shape pattern that follows a given rule; identify apparent features of the pattern not explicit in the rule and explain informally why they…
Ages 9 to 10MethodMathematics // Multiplication & Division
Understanding fractionsSolve problems involving scaling by simple fractions and problems involving simple rates
Ages 9 to 10MethodMathematics // Multiplication & Division
Factors, multiples, and primes (age 9+)Solve problems involving multiplication and division using knowledge of factors, multiples, squares, and cubes
Ages 9 to 10MethodMathematics // 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 11Representation