Numbers and the number system

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Numbers and the number system

Place value, ordering and rounding

Understand and use decimal notation and place value; multiply and divide integers and decimals by 10, 100, 1000, and explain the effect.

Compare and order decimals in different contexts; know that when comparing measurements they must be in the same units.

Round positive whole numbers to the nearest 10, 100 or 1000 and decimals to the nearest whole number or one decimal place.

Integers, powers and roots

Understand negative numbers as positions on a number line; order, add and subtract positive and negative integers in context.

Recognise and use multiples, factors (divisors), common factor, highest common factor and lowest common multiple in simple cases, and primes (less than 100); use simple tests of divisibility.

Recognise the first few triangular numbers, squares of numbers to at least 12 × 12 and the corresponding roots.

Fractions, decimals, percentages, ratio and proportion

Use fraction notation to describe parts of shapes and to express a smaller whole number as a fraction of a larger one; simplify fractions by cancelling all common factors and identify equivalent fractions; convert terminating decimals to fractions, e.g. 0.23 = 23/100 ; use a diagram to compare two or more simple fractions.

Begin to add and subtract simple fractions and those with common denominators; calculate simple fractions of quantities and measurements (whole-number answers); multiply a fraction by an integer.

Understand percentage as the 'number of parts per 100';recognise the equivalence of percentages, fractions and decimals; calculate simple percentages and use percentages to compare simple proportions.

Understand the relationship between ratio and proportion; use direct proportion in simple contexts; use ratio notation, reduce a ratio to its simplest form and divide a quantity into two parts in a given ratio; solve simple problems about ratio and proportion using informal strategies.

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St Louis National Curriculum

Science KS3 Maths KS3 ICT KS3 Physics

Science KS2

Chemistry/Biology

Place value, ordering and rounding
	Understand and use decimal notation and place value; multiply and divide integers and decimals by 10, 100, 1000, and explain the effect.
	Compare and order decimals in different contexts; know that when comparing measurements they must be in the same units.
	Round positive whole numbers to the nearest 10, 100 or 1000 and decimals to the nearest whole number or one decimal place.

Integers, powers and roots
	Understand negative numbers as positions on a number line; order, add and subtract positive and negative integers in context.
	Recognise and use multiples, factors (divisors), common factor, highest common factor and lowest common multiple in simple cases, and primes (less than 100); use simple tests of divisibility.
	Recognise the first few triangular numbers, squares of numbers to at least 12 × 12 and the corresponding roots.

Fractions, decimals, percentages, ratio and proportion
	Use fraction notation to describe parts of shapes and to express a smaller whole number as a fraction of a larger one; simplify fractions by cancelling all common factors and identify equivalent fractions; convert terminating decimals to fractions, e.g. 0.23 = 23/100 ; use a diagram to compare two or more simple fractions.
	Begin to add and subtract simple fractions and those with common denominators; calculate simple fractions of quantities and measurements (whole-number answers); multiply a fraction by an integer.
	Understand percentage as the 'number of parts per 100';recognise the equivalence of percentages, fractions and decimals; calculate simple percentages and use percentages to compare simple proportions.
	Understand the relationship between ratio and proportion; use direct proportion in simple contexts; use ratio notation, reduce a ratio to its simplest form and divide a quantity into two parts in a given ratio; solve simple problems about ratio and proportion using informal strategies.

St Louis			National Curriculum
Science KS3	Maths KS3	ICT KS3	Physics
Science KS2			Chemistry/Biology