Category: Number Key stage 2 year 5  

Abbreviation: MN KS2-Y5

See also: Pre-curriculum/National curriculum descriptions. Category lists.

Description

Pupils should be taught to:

• read, write, order and compare numbers to at least 1,000,000 and determine the value of each digit
• count forwards or backwards in steps of powers of 10 for any given number up to 1,000,000
• interpret negative numbers in context, count forwards and backwards with positive and negative whole numbers, including through 0
• round any number up to 1,000,000 to the nearest 10, 100, 1,000, 10,000 and 100,000
• solve number problems and practical problems that involve all of the above
• read Roman numerals to 1,000 (M) and recognise years written in Roman numerals

Pupils should be taught to:

• add and subtract whole numbers with more than 4 digits, including using formal written methods (columnar addition and subtraction)
• add and subtract numbers mentally with increasingly large numbers
• use rounding to check answers to calculations and determine, in the context of a problem, levels of accuracy
• solve addition and subtraction multi-step problems in contexts, deciding which operations and methods to use and why

Pupils should be taught to:

• identify multiples and factors, including finding all factor pairs of a number, and common factors of 2 numbers
• know and use the vocabulary of prime numbers, prime factors and composite (non-prime) numbers
• establish whether a number up to 100 is prime and recall prime numbers up to 19
• multiply numbers up to 4 digits by a one- or two-digit number using a formal written method, including long multiplication for two-digit numbers
• multiply and divide numbers mentally, drawing upon known facts
• divide numbers up to 4 digits by a one-digit number using the formal written method of short division and interpret remainders appropriately for the context
• multiply and divide whole numbers and those involving decimals by 10, 100 and 1,000
• recognise and use square numbers and cube numbers, and the notation for squared (²) and cubed (³)
• solve problems involving multiplication and division, including using their knowledge of factors and multiples, squares and cubes
• solve problems involving addition, subtraction, multiplication and division and a combination of these, including understanding the meaning of the equals sign
• solve problems involving multiplication and division, including scaling by simple fractions and problems involving simple rates

Pupils should be taught to:

• compare and order fractions whose denominators are all multiples of the same number
• identify, name and write equivalent fractions of a given fraction, represented visually, including tenths and hundredths
• recognise mixed numbers and improper fractions and convert from one form to the other and write mathematical statements > 1 as a mixed number [for example, + = = 1 ]
• add and subtract fractions with the same denominator, and denominators that are multiples of the same number
• multiply proper fractions and mixed numbers by whole numbers, supported by materials and diagrams
• read and write decimal numbers as fractions [for example, 0.71 = ]
• recognise and use thousandths and relate them to tenths, hundredths and decimal equivalents
• round decimals with 2 decimal places to the nearest whole number and to 1 decimal place
• read, write, order and compare numbers with up to 3 decimal places
• solve problems involving number up to 3 decimal places
• recognise the per cent symbol (%) and understand that per cent relates to ‘number of parts per 100’, and write percentages as a fraction with denominator 100, and as a decimal fraction
• solve problems which require knowing percentage and decimal equivalents of , , , , and those fractions with a denominator of a multiple of 10 or 25

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