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Primary & Nursery School
The National Curriculum for Mathematics
Progression in Mathematics - Place Value
Experiment with their own symbols and marks as well as numerals.
Solve real world mathematical problems with numbers up to 5.
Compare quantities using language: ‘more than’, ‘fewer than’.
Count objects, actions and sounds beyond 10.
Link the number symbol (numeral) with its cardinal number value.
Understand the ‘one more than/one less than’ relationship between consecutive numbers.
Year 1 Mathematics
Year 2 Mathematics
Count, read and write numbers to 100 in numerals
Represent and compare numbers using objects and pictorial representations
Recall number bonds for 10 and reason about associated facts (e.g. 6 + 4 = 10 , therefore 4 + 6 = 10 and 10 – 6 = 4)
Partition any two-digit number into different combinations of tens and ones, explaining their thinking verbally, in pictures or using apparatus
Recall all number bonds to and within 10 and use these to reason with and calculate bonds to and within 20, recognising other associated additive relationships (e.g. If 7 + 3 = 10, then 17 + 3 = 20; if 7 – 3 = 4, then 17 – 3 = 14; leading to if 14 + 3 = 17, then 3 + 14 = 17, 17 – 14 = 3 and 17 – 3 = 14)
Year 3 Mathematics
Year 4 Mathematics
Compare and order numbers up to 1000 (recognising the place value of each digit)
(Add and) subtract numbers mentally, including 3 digit numbers and ones, tens and hundreds
(Add and) subtract numbers with up to 3-digits using formal written methods
Compare and order numbers beyond 1000 (recognising the place value of each digit)
Count backwards through zero, including negative numbers
(Add and) subtract numbers with up to 4 digits using the formal written methods
Year 5 Mathematics
Year 6 Mathematics
Compare and order numbers up to 1,000,000 and determine the value of each digit
Interpret negative numbers in context, counting backwards and forwards with positive and negative whole numbers including through 0
(Add and) subtract whole numbers with more than 4 digits, including using formal written methods.
Compare and order numbers up to 10,000,000 including to 2 decimal places.
Use negative numbers in context and calculate intervals across zero
Solve multi-step word problems involving a variety of different contexts