Curriculum Objectives

• Count forwards or backwards in steps of powers of 10 for any given number up to 1,000,000
• Read, write, order and compare numbers to at least 1,000,000
• Determine the value of each digit in numbers up to 1,000,000
• Read Roman numerals to 1,000 (M) and recognise years written in Roman numerals
• Round any number up to 1,000,000 to the nearest 10, 100, 1,000, 10,000 and 100,000
• Interpret negative numbers in context, count forwards and backwards with positive and negative whole numbers, including through zero
• Add and subtract numbers mentally with increasingly large numbers
• Add and subtract whole numbers with more than 4 digits, including using formal written methods (columnar addition and subtraction)
• 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
• Identify multiples and factors, including finding all factor pairs of a number, and common factors of two 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
• Recognise and use square numbers and cube numbers, and the notation for squared (2) and cubed (3)
• Multiply and divide numbers mentally drawing upon known facts
• Multiply and divide whole numbers and those involving decimals by 10, 100 and 1,000
• 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
• 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
• 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
• 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, 2/5 + 4/5 = 6/5 = 1 1/5 ]
• Identify, name and write equivalent fractions of a given fraction, represented visually, including tenths and hundredths
• Compare and order fractions whose denominators are all multiples of the same number

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