Math // Area
Multiplication & Division
Age coverage
Ages 4 to 13
Starts at age 4 // 1 topic
Starting at age 4
- Division as equal sharing
Understand division as sharing equally into groups or as grouping (how many groups of a given size can be made)
Ages 4 to 6Concept
Starts at age 5 // 2 topics
Starting at age 5
Your child is being introduced to multiplication and division as ways of working with equal groups — understanding multiplication as repeated addition and division as sharing equally.
- Multiplication as repeated addition
Understand multiplication as repeated addition and grouping equal sets
Ages 5 to 6Concept - Arrays for multiplication
Use arrays to represent multiplication and division situations
Ages 5 to 6Representation
Starts at age 6 // 5 topics
Starting at age 6
Your child is building the foundations of multiplication and division — learning their 2, 5, and 10 times tables, understanding what these operations mean, and solving problems using arrays and repeated addition.
- Times tables
Recall and use multiplication and division facts for the 2, 5, and 10 multiplication tables
Ages 6 to 7Method - Reading ×, ÷, and = Symbols
Read, write, and interpret the symbols ×, ÷, and = in multiplication and division number sentences
Ages 6 to 7Language - Commutative Multiplication
Understand and apply the commutative property of multiplication and recognise that division is not commutative
Ages 6 to 7Concept - Multiplication as repeated addition (age 6+)
Solve problems involving multiplication and division using arrays, repeated addition, mental methods, and known facts
Ages 6 to 7Method - Odd and even numbers
Recognise odd and even numbers
Ages 6 to 7Concept
Starts at age 7 // 5 topics
Starting at age 7
Your child is mastering multiplication and division — learning their times tables (especially 3, 4, and 8), understanding how multiplication connects to arrays and repeated addition, and solving word problems involving these operations.
- Times tables (age 7+)
Recall and use multiplication and division facts for the 3, 4, and 8 multiplication tables
Ages 7 to 8Method - Arrays for multiplication (age 7+)
Use addition to find the total number of objects arranged in rectangular arrays with up to 5 rows and 5 columns; write an equation to express the total as a sum…
Ages 7 to 8Concept - Written Multiplication & Division
Write and calculate mathematical statements for multiplication and division using known tables, including two-digit × one-digit, using mental and progressing to…
Ages 7 to 8Method - 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 - 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
Starts at age 8 // 14 topics
Starting at age 8
Your child is building fluency with multiplication and division — memorizing times tables up to 12×12, understanding the relationship between multiplication and division, and solving word problems involving equal groups and arrays.
- 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 - All times tables to 12×12
Recall multiplication and division facts for multiplication tables up to 12 × 12
Ages 8 to 9Method - Written Multiplication
Multiply two-digit and three-digit numbers by a one-digit number using formal written layout
Ages 8 to 9Method - Properties of Operations
Apply properties of operations (commutative, associative, distributive) as strategies to multiply and divide
Ages 8 to 9Concept - 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 - 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 - 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 - 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 - Factor Pairs & Commutativity
Recognise and use factor pairs and commutativity in mental calculations
Ages 8 to 9Concept - 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 - 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 - 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 - 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 - 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
Starts at age 9 // 13 topics
Starting at age 9
Your child is mastering more complex multiplication and division — working with larger numbers, understanding factors and multiples, solving multi-step problems, and beginning to use formal written methods.
- 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 - 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 - 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 - 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 - Multiplying and dividing
Multiply and divide whole numbers and those involving decimals by 10, 100, and 1000
Ages 9 to 10Method - 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 - 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 - Understanding fractions
Solve problems involving scaling by simple fractions and problems involving simple rates
Ages 9 to 10Method - Factors, multiples, and primes (age 9+)
Solve problems involving multiplication and division using knowledge of factors, multiples, squares, and cubes
Ages 9 to 10Method - 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 - 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 - Multiplicative Comparison
Solve word problems involving multiplicative comparison using drawings and equations with a symbol for the unknown number
Ages 9 to 10Method - 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
Starts at age 10 // 13 topics
Starting at age 10
Your child is advancing to sophisticated multiplication and division — using formal written methods for complex calculations, working with decimals, and applying the order of operations to solve multi-step problems.
- 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 - Rounding Answers
Solve problems which require answers to be rounded to specified degrees of accuracy
Ages 10 to 11Method - 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 - Brackets in Expressions
Use parentheses, brackets, or braces in numerical expressions and evaluate expressions containing these grouping symbols
Ages 10 to 11Method - 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 - 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 - 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 - 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 - 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 - 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 - 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 - 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 - 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
Starts at age 11 // 4 topics
Starting at age 11
- 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 - 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 - 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 - 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