Key Objectives

These key objectives show you the kind of things your child should ideally be able to do and understand by the end of the school year. Do remember that children develop at different rates with some progressing more slowly or quickly than others. For accurate information about your child's progress it's important that you talk to their teacher.

Reception	Year 4
Year 1	Year 5
Year 2	Year 6
Year 3

Reception

Say and use the number names in order in familiar contexts.
Count reliably up to 10 everyday objects.
Recognise the numerals 1 to 9.
Use language such as more or less, greater or smaller, heavier or lighter, to compare two numbers or quantities.
In practical activities and discussion, begin to use the vocabulary involved in adding and subtracting.
Find one more or one less than a number from 1 to 10.
Begin to relate addition to combining two groups of objects, and subtraction to 'taking away'.
Talk about, recognise, and create simple patterns.
Use language such as circle or bigger to describe the shape and size of solids and flat shapes.
Use everyday words to describe position.
Use developing mathematical ideas and methods to solve practical problems.

Year 1

Count reliably at least 20 objects.
Count on and back in 'ones' from any small number, and in 'tens' from and back to zero.
Read, write and order numbers from 0 to at least 20; understand and use the vocabulary of comparing and ordering these numbers.
Within a range of 0 to 30, say the number that is 1 or 10 more or less than any given number.
Understand the operation of addition, and of subtraction (as 'take away' or 'difference'), and use the related vocabulary.
Know by heart all pairs of numbers within a total of 10.
Use mental strategies to solve simple problems using counting, addition, subtraction, doubling and halving, explaining methods and reasoning orally.
Compare two lengths, masses or capacities by direct comparison.
Suggest suitable standard or uniform non-standard units and measuring equipment to estimate, then measure, a length, mass or capacity.
Use everyday language to describe features of 3D and 2D shapes.

Year 2

Count, read and write and order whole numbers to at least 100; know what each digit represents (including 0 as a placeholder).
Describe and extend simple numbers sequences (including odd/even numbers, counting on or back in ones or tens from any two-digit number, and so on..).
Understand that subtraction is the inverse of addition; state the subtraction corresponding to a given addition and vice versa.
Know by heart all addition and subtraction facts for each number to at least 10.
Use knowledge that addition can be done in any order to do mental calculations more efficiently.
Understand the operation of multiplication as repeated addition or as describing an array.
Know and use halving as the inverse of doubling.
Know by heart facts for the 2 and 10 multiplications tables.
Estimate, measure and compare lengths, masses and capacities, using standard units; suggest suitable units and equipment for such measurements.
Read a simple scale to the nearest labelled division, including using a ruler to draw and measure lines to the nearest centimetre.
Use the mathematical names for common 2D and 3D shapes; sort shapes and describe some of their features.
Use mathematical vocabulary to describe position, direction and movement.
Choose and use appropriate operations and efficient calculation strategies to solve problems, explaining how the problem was solved.

Year 3

Read, write and order whole numbers to at least 1000; know what each digit represents.
Count on or back in tens or hundreds from any two or three digit number.
Recognise unit fractions such as 1/2;, 1/3, 1/4, 1/5, 1/10, and use them to find fractions of shapes and numbers.
Know by heart all addition and subtraction facts for each number to 20.
Add and subtract mentally a 'near multiple of 10' top or from a two digit number.
Know by heart the facts for the 2, 5 and 10 multiplication tables.
Understand division and recognise that division is the inverse of multiplication.
Use units of time and know the relationships between them (including second, minute, hour, day, week, month, year).
Understand and use £.p notation.
Choose and use appropriate operations (including multiplication and division) to solve word problems, explaining methods and reasoning.
Identify right angles.
Identify lines of symmetry in simple shapes and recognise shapes with no lines of symmetry.
Solve a given problem by organising and interpreting numerical data in simple lists, tables and graphs.

Year 4

Use symbols correctly including less than (<), greater than (>) and equals(=).
Round any positive integer less than 1000 to the nearest 10 or 100.
Recognise simple fractions that are several parts of a whole and mixed numbers; recognise the equivalence of simple fractions.
Use known number facts and place value to add or subtract mentally, including any pair of two-digit whole numbers.
Carry out column addition and subtraction of two integers less than 1000, and column addition of two such integers.
Know by heart the facts for the 2, 3, 4, 5 and 10 multiplication tables.
Derive quickly division facts corresponding to the 2, 3, 4, 5, and 10 multiplication tables.
Find remainders after division.
Know and use the relationships between familiar units of length, mass and capacity.
Classify polygons, using criteria such as the number of right angles, whether or not they are regular symmetry properties.
Choose and use appropriate number operations and ways of calculating (mental, mental with jottings, pencil and paper) to solve problems.

Year 5

Multiply and divide any positive integer up to 10,000 by 10 or 100 and understand the effect.
Order a given set of positive and negative integers.
Use decimal notation for tenths and hundredths.
Round a number with one or two decimal places to the nearest integer.
Relate fractions to division and their decimal representations.
Calculate mentally a difference such as 8006-2993.
Carry out column addition and subtraction of positive integers less than 10,000.
Know by heart all the multiplication facts up to 10×10.
Carry out short multiplication and division of a three-digit number by a single integer.
Carry out long mulitplication of a two-digit by a two-digit integer.
Understand area measured in square centimetres (cm²); understand and use the formula in words 'length × breadth' for the area of a rectangle.
Recognise parallel and perpendicular lines, and properties of rectangles.
Use all four operations to solve simple word problems involving numbers and quantities including time, explaining methods and reasoning.

Year 6

Multiply and divide decimals mentally by 10 or 100, and integers by 1000, and explain the effect.
Order a mixed set of numbers with up to three decimal places.
Reduce a fraction to its simplest form by cancelling common factors.
Use a fraction as an operator to find fractions of numbers or quantities (eg 5/8 of 32, 7/10 of 40, 9/100 of 400 centimetres).
Understand percentage as the number of parts in every 100, and find simple percentages of small whole number quantities.
Solve simple problems involving ratio and proportion.
Carry out column addition and subtraction of numbers involving decimals.
Derive quickly division facts corresponding to multiplication tables up to 10×10.
Carry out short multiplication and division of numbers involving decimals.
Carry out long multiplication of a three-digit by a two-digit integer.
Use a protractor to measure acute and obtuse angles to the nearest degree.
Calculate the perimeter and area of simple comound shapes that can be split into rectangles.
Read and plot co-ordinates in all four quadrants.
Identify and use appropriate operations (including combinations of operations) to solve word problems involving numbers and quantities, and explain methods and reasoning.
Solve a problem by extracting and interpreting information presented in tables, graphs and charts.