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Mathematics // Multiplication & Division
Multi-Step Multiply & DivideSolve problems involving multiplication and division, including scaling problems and correspondence problems where n objects are connected to m objects
Ages 7 to 8MethodMathematics // Multiplication & Division
Rows & Columns in RectanglesPartition a rectangle into rows and columns of same-size squares and count to find the total number of them
Ages 7 to 8MethodMathematics // Multiplication & Division
What Multiplication MeansInterpret products of whole numbers (e.g. 5 × 7 as the total number of objects in 5 groups of 7)
Ages 8 to 9ConceptMathematics // Multiplication & Division
All times tables to 12×12Recall multiplication and division facts for multiplication tables up to 12 × 12
Ages 8 to 9MethodMathematics // Multiplication & Division
Written MultiplicationMultiply two-digit and three-digit numbers by a one-digit number using formal written layout
Ages 8 to 9MethodMathematics // Multiplication & Division
Properties of OperationsApply properties of operations (commutative, associative, distributive) as strategies to multiply and divide
Ages 8 to 9ConceptMathematics // Multiplication & Division
Fluent multiplication and division factsFluently multiply and divide within 100 using strategies such as the relationship between multiplication and division
Ages 8 to 9MethodMathematics // Multiplication & Division
Division as Unknown FactorUnderstand division as an unknown-factor problem (e.g. find 32 ÷ 8 by finding the number that makes 32 when multiplied by 8)
Ages 8 to 9ConceptMathematics // Multiplication & Division
What Division MeansInterpret whole-number quotients (e.g. 56 ÷ 8 as the number of objects in each share or the number of equal groups)
Ages 8 to 9ConceptMathematics // Multiplication & Division
Multiply & Add ProblemsSolve problems involving multiplying and adding, including using the distributive law, integer scaling problems, and harder correspondence problems
Ages 8 to 9MethodMathematics // Multiplication & Division
Factor Pairs & CommutativityRecognise and use factor pairs and commutativity in mental calculations
Ages 8 to 9ConceptMathematics // 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 10Method