L E V E L
1


 begin to use the fraction, onehalf

 understand addition as finding the total of two or more sets of objects
 understand subtraction as 'taking away' objects from a set and finding how many are left

 add and subtract numbers of objects to 10
 begin to know some addition facts

 solve addition / subtraction problems involving up to 10 objects


L E V E L
2

 count sets of objects reliably
 begin to understand the place value of each digit, use this to order numbers up to 100
 recognise sequences of numbers, including odd and even numbers

 begin to use halves and quarters
 relate the concept of half of a small quantity to the concept of half of a shape

 use the knowledge that subtraction is the inverse of addition
 understand halving as a way of ‘undoing’ doubling and vice versa

 use mental recall of addition and subtraction facts to 10
 use mental calculation strategies to solve number problems including those involving money and measures


 record their work in writing

L E V E L
3

 understand place value in numbers to 1000
 use place value to make approximations
 recognise negative numbers in contexts such as temperature
 recognise a wider range of sequences

 use simple fractions that are several parts of a whole and recognise when two simple fractions are equivalent
 begin to use decimal notation in contexts such as money


 add and subtract twodigit numbers mentally
 use mental recall of the 2, 3, 4, 5 and 10 multiplication tables

 use mental recall of addition and subtraction facts to 20 in solving problems involving larger numbers
 solve whole number problems including those involving multiplication or division that may give rise to remainders

 add or subtract threedigit numbers using written method
 multiply and divide twodigit numbers by 2, 3, 4 or 5 as well as 10 with whole number answers and remainders

L E V E L
4

 recognise and describe number patterns
 recognise and describe number relationships including multiple, factor and square
 use place value to multiply and divide whole numbers by 10 or 100

 recognise approximate proportions of a whole and use simple fractions and percentages to describe these
 order decimals to three decimal places
 begin to understand simple ratio

 use inverse operations
 understand the use of brackets in simple calculations
 quickly derive division facts that correspond to multiplication facts up to 10 x 10

 use a range of mental methods of computation with the four operations
 recall multiplication facts up to 10 x 10 and quickly derive corresponding division facts

 solve problems with or without a calculator
 check the reasonableness of results with reference to the context or size of numbers
 begin to use simple formulae expressed in words
 use and interpret coordinates in the first quadrant


L E V E L
5

 use understanding of place value to multiply and divide whole numbers and decimals by 10, 100 and 1000 and explain the effect
 round decimals to the nearest decimal place
 order negative numbers in context
 recognise and use number patterns and relationships

 use equivalence between fractions
 reduce a fraction to its simplest form by cancelling common factors
 order fractions and decimals
 understand simple ratio

 use known facts, place value and knowledge of operations to calculate
 apply inverse operations
 use brackets appropriately

 add and subtract negative numbers in context
 estimate using approximations
 use all four operations with decimals to two places
 use a calculator where appropriate to calculate fractions / percentages of quantities / measurements
 understand and use an appropriate noncalculator method for solving problems that involve multiplying and dividing any threedigit number by any twodigit number

 solve simple problems involving ordering, adding, subtracting negative numbers in context
 solve simple problems involving ratio and direct proportion
 approximate to check answers to problems are of the correct magnitude
 check solutions by applying inverse operations or estimating using approximations

 construct, express in symbolic form, and use simple formulae involving one or two operations
 use and interpret coordinates in all four quadrants
