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Mathematics // Measurement
Measuring length (age 10+)Recognise volume as an attribute of solid figures; understand that a unit cube (side length 1 unit) has 'one cubic unit' of volume and can be used to measure…
Ages 10 to 11ConceptMathematics // 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
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
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
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
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
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 // 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
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 10ConceptMathematics // Number Representation & Place Value
Roman numerals to 1000Read Roman numerals to 1000 (M) and recognise years written in Roman numerals
Ages 9 to 10ConceptMathematics // Number Representation & Place Value
Place Value × 10 and ÷ 10Recognise that in a multi-digit number, a digit in one place represents 10 times as much as in the place to its right and 1/10 of what it represents in the…
Ages 10 to 11ConceptMathematics // Number Representation & Place Value
Reading Decimal PlacesIdentify the value of each digit in numbers given to three decimal places (e.g. in 4.378, the 7 represents 7 hundredths)
Ages 10 to 11ConceptMathematics // Number Representation & Place Value
Patterns with Powers of TenExplain patterns in zeros when multiplying by powers of 10 and in decimal-point placement when multiplying/dividing by a power of 10; use whole-number exponents…
Ages 10 to 11ConceptMathematics // Number Representation & Place Value
Fractions on a number lineUnderstand and use place value for decimals, measures, and integers of any size; extend the number system to include all positive and negative integers…
Ages 11 to 12ConceptMathematics // Number Representation & Place Value
Numbers on a number lineUnderstand the absolute value of a rational number as its distance from zero on the number line; interpret absolute value as magnitude in real-world contexts…
Ages 11 to 12ConceptMathematics // Probability
Equally Likely OutcomesUnderstand that 'equally likely' means every outcome has exactly the same chance of occurring; identify whether a given situation has equally likely outcomes (a…
Ages 9 to 10ConceptMathematics // Probability
Ordering LikelihoodsCompare the likelihood of different events and order them from least to most likely — including situations with unequal outcomes such as a bag with more of one…
Ages 9 to 10ConceptMathematics // Probability
The 0-to-1 Probability ScaleUnderstand probability as a measure expressed as a number between 0 (impossible) and 1 (certain); place events on the probability scale; express probabilities…
Ages 10 to 11ConceptMathematics // Probability
Probabilities Sum to OneUnderstand that when all possible outcomes of a trial are listed, their probabilities must add up to 1; use this to find the probability of an event NOT…
Ages 10 to 11ConceptMathematics // Probability
Complementary eventsUnderstand and apply the rule that probabilities of all mutually exclusive outcomes sum to one; use this to find the probability of a complementary event (P(not…
Ages 11 to 13ConceptMathematics // Probability
The Probability ScaleUnderstand probability as a measure on a scale from 0 (impossible) to 1 (certain); use the language of probability including likely, unlikely, certain, and…
Ages 11 to 13ConceptMathematics // Ratio & Proportion
One Quantity as a FractionExpress one quantity as a fraction of another where the result may be less than 1 or greater than 1, and interpret the meaning in context
Ages 11 to 12Concept