Reception

• Say and use the number names in order in familiar contexts

• Count reliably up to 10 everyday objects.

• Recognise 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 recreate simple patterns.

• Use language such as circle or bigger to describe position.

• Use developing mathematical ideas and methods to solve practical problems.

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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 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 9as 'take away' or 'difference'), and use the related vocabulary.

• Know by heart all pairs of numbers with 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 familiar 3-D and 2-D shapes.

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Year 2

• Count, read, write and order whole numbers to at least 100; know what each digit represents (including 0 as a place holder).

• Describe and extend simple number 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 multiplication 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 labeled division, including using a ruler to draw and measure lines to the nearest centimetre.

• Use the mathematical names for common 2-D and 3-D shapes; sort shapes and describe some of their features.

• Use mathematical vocabulary to describe position, direction and movement.

• Choose and sue appropriate operations and efficient calculation strategies to solve problems, explaining how the problem was solved.

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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 half, third, quarter, one fifth and one tenth, and use them to find fractions of shapes an numbers.

• Know by heart all addition and subtraction facts for each number to 20.

• Add and subtract mentally a 'near multiple of 10' to or from a two-digit number.

• Know by heart 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 ( second, minute, hour, day, week, month, year).

• Understand and use £.p notation.

• Choose and use appropriate operation (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.

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Year 4

• Use symbols correctly, including less that (<), greater than (>), 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 more than two such integers.

• Know by heart 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 number or right angles, whether or not they are regular, symmetry properties.

• Choose and us appropriate number operations and ways of calculating (mental, mental with jottings, pencil and paper) to solve problems.

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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 to 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 multiplication of a two-digit by a two-digit integer.

• Understand area measured in square centimetres; understand and use the formula in words 'length x breadth' for 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.

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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 canceling common factors.

• Use a fraction as an operator to find fractions of numbers or quantities

• Understand percentage as the number or 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 10x10.

• 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 compound shapes that can be split into rectangles.

• Read and plot co-ordinates in all four quadrants.

• Identify and use the 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.

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