Number and Place Value

EYFS

By the end of EYFS children will be able to:

• Recite numbers in order to 10.
• Understand not only objects but anything can be counted including steps, claps or jumps.
• Count up to three or four objects by saying one number name for each item.
• Count out up to six objects from a larger group.
• Count actions or objects which cannot be moved.
• Count objects to 10.
• Count an irregular arrangement of up to ten objects.
• Estimate how many objects they can see and check by counting them.
• Count reliably from 1 to 20.
• Use number names and number language spontaneously.
• Know that numbers identify how many objects are in a set.
• Show an interest in representing numbers.
• Represent numbers using fingers, pictures or marks on paper.
• Separate a group of three or four objects in different ways, beginning to recognise that the total is still the same.
• Match numeral and quantity control correctly.
• Select the correct numeral to represent 1 to 10 objects.
• Find one more or one less from a group of up to ten objects or a given number from 1 to 20.
• Show an interest in numerals in the environment.
• Use some number names accurately in play.
• Recognise some numerals of personal significance and 1-20.
• Compare two groups of objects, saying when they have the same number.
• Use the language of ‘more’ and ‘fewer’ to compare two sets of objects.
• Show an interest in number problems.
• Identify own mathematical problems based on own interests and fascinations.

Year 1

By the end of Year 1 children will be able to:

• Count to and across 100, forwards and backwards, beginning with 0 or 1, or from any given number.
• Count numbers to 100 un numerals; count in multiples of twos, fives and tens.
• Identify and represent numbers using objects and pictorial representations.
• Read and write numbers to 100 in numerals.
• Read and write numbers from 1 to 20 in numerals and words.
• Given a number, identify one more and one less.

Year 2

By the end of Year 2 children will be able to:

• Count in steps of 2, 3 and 5 from 0, and in tens from any number, forward and backward.
• Read and write numbers to at least 100 in numerals and in words.
• Identify, represent and estimate numbers using different representations, including the number line.
• Recognise the place value of each digit in a two-digit number (tens, ones).
• Compare and order numbers from 0 up to 100; use <, > and = signs.
• Use place value and number facts to solve problems.

Year 3

By the end of Year 3 children will be able to:

• Count from 0 in multiples of 4, 8, 50 and 100; find 10 more 100 more or less than a given number.
• Identify, represent and estimate numbers using different representations.
• Read and write numbers up to 1000 in numerals and in words.
• Recognise the place value of each digit in a three-digit number (hundreds, tens, ones).
• Compare and order numbers up to 1000.
• Solve number problems and practical problems involving these ideas.

Year 4

By the end of Year 4 children will be able to:

• Count in multiples of 6, 7, 9, 25 and 1000.
• Count backwards through zero to include negative numbers.
• Identify, represent and estimate numbers using different representations.
• Read Roman numerals to 100 (I to C) and know that over time, the numeral system changes to include the concept of zero and place value.
• Find 1000 more or less than a given number.
• Recognise the place value of each digit in a four-digit number (thousands, hundreds, tens, ones).
• Order and compare numbers beyond 1000.
• Round any number to the nearest 10, 100 or 1000.
• Solve number and practical problems that involve all of the above with increasingly large positive numbers.

Year 5

By the end of Year 5 children will be able to:

• Count forwards or backwards in steps of powers of 10 for any given number up to 1,000,000.
• Count forwards and backwards with positive and negative whole numbers, including through zero.
• Read, write, order and compare numbers to at least 1,000,000 and determine the value of each digit.
• Read Roman numbers to 1000 (M) and recognise years written Roman numerals.
• Interpret negative numbers in context.
• Round any number up to 1,000,000 to the nearest 10, 100, 1000, 10,000 and 100,000.
• Solve number problems and practical problems that involve all of the above.

Year 6

By the end of Year 6 children will be able to:

• Read, write, order and compare numbers up to 10,000,000 and determine the value of each digit.
• Round any whole number to a required degree or accuracy.
• Use negative numbers in context and calculate intervals across zero.
• Solve number and practical problems that involve all of the above.