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  • Mathematics // Multiplication & Division

    Multi-Step Multiply & Divide

    Solve problems involving multiplication and division, including scaling problems and correspondence problems where n objects are connected to m objects

    Ages 7 to 8Method
  • Mathematics // Multiplication & Division

    Rows & Columns in Rectangles

    Partition a rectangle into rows and columns of same-size squares and count to find the total number of them

    Ages 7 to 8Method
  • Mathematics // Multiplication & Division

    What Multiplication Means

    Interpret products of whole numbers (e.g. 5 × 7 as the total number of objects in 5 groups of 7)

    Ages 8 to 9Concept
  • Mathematics // Multiplication & Division

    All times tables to 12×12

    Recall multiplication and division facts for multiplication tables up to 12 × 12

    Ages 8 to 9Method
  • Mathematics // Multiplication & Division

    Written Multiplication

    Multiply two-digit and three-digit numbers by a one-digit number using formal written layout

    Ages 8 to 9Method
  • Mathematics // Multiplication & Division

    Properties of Operations

    Apply properties of operations (commutative, associative, distributive) as strategies to multiply and divide

    Ages 8 to 9Concept
  • Mathematics // Multiplication & Division

    Fluent multiplication and division facts

    Fluently multiply and divide within 100 using strategies such as the relationship between multiplication and division

    Ages 8 to 9Method
  • Mathematics // Multiplication & Division

    Division as Unknown Factor

    Understand 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 9Concept
  • Mathematics // Multiplication & Division

    What Division Means

    Interpret whole-number quotients (e.g. 56 ÷ 8 as the number of objects in each share or the number of equal groups)

    Ages 8 to 9Concept
  • Mathematics // Multiplication & Division

    Multiply & Add Problems

    Solve problems involving multiplying and adding, including using the distributive law, integer scaling problems, and harder correspondence problems

    Ages 8 to 9Method
  • Mathematics // Multiplication & Division

    Factor Pairs & Commutativity

    Recognise and use factor pairs and commutativity in mental calculations

    Ages 8 to 9Concept
  • Mathematics // Multiplication & Division

    Patterns in Times Tables

    Identify arithmetic patterns (including patterns in the addition table or multiplication table) and explain them using properties of operations

    Ages 8 to 9Concept
  • Mathematics // Multiplication & Division

    Multiplying by Tens

    Multiply 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 9Method
  • Mathematics // Multiplication & Division

    Mental multiplication and division

    Use 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 9Method
  • Mathematics // Multiplication & Division

    Multiplication and Division Word Problems

    Use multiplication and division within 100 to solve word problems involving equal groups, arrays, and measurement quantities

    Ages 8 to 9Method
  • Mathematics // Multiplication & Division

    Unknown in Multiplication & Division

    Determine the unknown whole number in a multiplication or division equation relating three whole numbers (e.g. 8 × ? = 48, ? × 6 = 42)

    Ages 8 to 9Method
  • Mathematics // Multiplication & Division

    Long multiplication

    Multiply 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 10Method
  • Mathematics // Multiplication & Division

    Division with remainders

    Solve multi-step word problems using the four operations with whole numbers, including interpreting remainders in context; represent with equations using a…

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

    Short division with remainders

    Divide 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 10Method
  • Mathematics // Multiplication & Division

    Factors, multiples, and primes

    Find 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 11Concept
  • Mathematics // Multiplication & Division

    Multiplying and dividing

    Multiply and divide whole numbers and those involving decimals by 10, 100, and 1000

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

    Multiplicative Comparison

    Interpret 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 10Concept
  • Mathematics // Multiplication & Division

    Shape patterns

    Generate 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 10Method
  • Mathematics // Multiplication & Division

    Understanding fractions

    Solve problems involving scaling by simple fractions and problems involving simple rates

    Ages 9 to 10Method