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Mathematics // 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
The teen numbersUnderstand that the teen numbers (11–19) are composed of ten ones and some further ones (early place value)
Ages 5 to 7ConceptMathematics // Number Representation & Place Value
A Ten Is Ten OnesUnderstand that 10 can be thought of as a bundle of ten ones — called a 'ten'
Ages 6 to 7ConceptMathematics // Number Representation & Place Value
The two digits of a two-digit numberUnderstand that the two digits of a two-digit number represent amounts of tens and ones
Ages 6 to 7ConceptMathematics // Number Representation & Place Value
The multiples of 10Understand that the multiples of 10 (10, 20, 30 … 90) represent one to nine tens and 0 ones
Ages 6 to 7ConceptMathematics // Number Representation & Place Value
A Hundred Is Ten TensUnderstand that 100 can be thought of as a bundle of ten tens — called a 'hundred'
Ages 7 to 8ConceptMathematics // Number Representation & Place Value
The three digits of a three-digit numberUnderstand that the three digits of a three-digit number represent amounts of hundreds, tens, and ones
Ages 7 to 8ConceptMathematics // Number Representation & Place Value
The multiples of 100Understand that the multiples of 100 (100–900) each represent a number of hundreds with 0 tens and 0 ones
Ages 7 to 8ConceptMathematics // Number Representation & Place Value
Odd or EvenDetermine whether a group of objects (up to 20) has an odd or even number of members
Ages 7 to 8ConceptMathematics // Number Representation & Place Value
Place value of each digitRecognise the place value of each digit in a four-digit number (thousands, hundreds, tens, and ones)
Ages 8 to 9ConceptMathematics // Number Representation & Place Value
Negative NumbersCount backwards through zero to include negative numbers
Ages 8 to 9ConceptMathematics // Number Representation & Place Value
Roman numerals to 100Read Roman numerals to 100 (I to C) and understand that the numeral system changed over time to include zero and place value
Ages 8 to 9ConceptMathematics // 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 // Number Representation & Place Value
Number Sets & InfinityAppreciate the infinite nature of the sets of integers, real numbers, and rational numbers; position integers on a number line and distinguish between rational…
Ages 13 to 14ConceptMathematics // 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 10Concept