Numeracy should be fun, enjoyable and part of everyday life, but it should also be challenging and provide a sense of achievement for all children. The practical aspect of Numeracy has a high priority throughout the school as a means of developing a sound
understanding of mathematical concepts, which in turn are practised and consolidated.
Numeracy is taught daily. The school currently follows the National Primary Strategy in Year 6 and the new 2014 National Curriculum in Years 3 to 5, ensuring that Numeracy teaching is given a very high profile in line with government guidelines. From
September 2015, Year 6 will also transfer to the new curriculum, ready for the new format of the national SATs.
Numeracy involves confidence and competence with number and measure. It requires an understanding of the number system, sound computational skills and an ability to solve number problems in a variety of contexts.
Year 3
Year 3 programme of study (statutory requirements) 
NUMBER Number and place value Pupils should be taught to:  count from 0 in multiples of 4, 8, 50 and 100; find 10 or 100 more or less than a given number
 recognise the place value of each digit in a threedigit number (hundreds, tens, ones)
 compare and order numbers up to 1000
 identify, represent and estimate numbers using different representations
 read and write numbers up to 1000 in numerals and in words
 solve number problems and practical problems involving these ideas.

Addition and subtraction Pupils should be taught to:  add and subtract numbers mentally, including:
 a threedigit number and ones
 a threedigit number and tens
 a threedigit number and hundreds
 add and subtract numbers with up to three digits, using formal written methods of columnar addition and subtraction
 estimate the answer to a calculation and use inverse operations to check answers
 solve problems, including missing number problems, using number facts, place value, and more complex addition and subtraction.

Multiplication and division Pupils should be taught to:  recall and use multiplication and division facts for the 3, 4 and 8 multiplication tables
 write and calculate mathematical statements for multiplication and division using the multiplication tables that they know, including for twodigit numbers times onedigit numbers, using mental and progressing to formal written methods
 solve problems, including missing number problems, involving multiplication and division, including integer scaling problems and correspondence problems in which n objects are connected to m objects.

Fractions Pupils should be taught to:  count up and down in tenths; recognise that tenths arise from dividing an object into 10 equal parts and in dividing onedigit numbers or quantities by 10
 recognise, find and write fractions of a discrete set of objects: unit fractions and nonunit fractions with small denominators
 recognise and use fractions as numbers: unit fractions and nonunit fractions with small denominators
 recognise and show, using diagrams, equivalent fractions with small denominators
 add and subtract fractions with the same denominator within one whole (e.g. ^{5}/_{7} + ^{1}/_{7} = ^{6}/_{7})
 compare and order unit fractions, and fractions with the same denominators
 solve problems that involve all of the above.

MEASUREMENT Pupils should be taught to:  measure, compare, add and subtract: lengths (m/cm/mm); mass (kg/g); volume/capacity (l/ml)
 measure the perimeter of simple 2D shapes
 add and subtract amounts of money to give change, using both £ and p in practical contexts
 tell and write the time from an analogue clock, including using Roman numerals from I to XII, and 12hour and 24hour clocks
 estimate and read time with increasing accuracy to the nearest minute; record and compare time in terms of seconds, minutes, hours and o’clock; use vocabulary such as a.m./p.m., morning, afternoon, noon and midnight
 know the number of seconds in a minute and the number of days in each month, year and leap year
 compare durations of events, for example to calculate the time taken by particular events or tasks.

GEOMETRY Properties of shapes Pupils should be taught to:  draw 2D shapes and make 3D shapes using modelling materials; recognise 3D shapes in different orientations and describe them
 recognise that angles are a property of shape or a description of a turn
 identify right angles, recognise that two right angles make a halfturn, three make three quarters of a turn and four a complete turn; identify whether angles are greater than or less than a right angle
 identify horizontal and vertical lines and pairs of perpendicular and parallel lines.

STATISTICS Pupils should be taught to:  interpret and present data using bar charts, pictograms and tables
 solve onestep and twostep questions such as ‘How many more?’ and ‘How many fewer?’ using information presented in scaled bar charts and pictograms and tables.

Year 4
Year 4 programme of study (statutory requirements) 
NUMBER Number and place value Pupils should be taught to  count in multiples of 6, 7, 9, 25 and 1000
 find 1000 more or less than a given number
 count backwards through zero to include negative numbers
 recognise the place value of each digit in a fourdigit number (thousands, hundreds, tens, and ones)
 order and compare numbers beyond 1000
 identify, represent and estimate numbers using different representations
 round any number to the nearest 10, 100 or 1000
 solve number and practical problems that involve all of the above and with increasingly large positive numbers
 read Roman numerals to 100 (I to C) and know that over time, the numeral system changed to include the concept of zero and place value.

Addition and subtraction Pupils should be taught to:  add and subtract numbers with up to 4 digits using the formal written methods of columnar addition and subtraction where appropriate
 estimate and use inverse operations to check answers to a calculation
 solve addition and subtraction twostep problems in contexts, deciding which operations and methods to use and why.

Multiplication and division Pupils should be taught to:  recall multiplication and division facts for multiplication tables up to 12 × 12
 use place value, known and derived facts to multiply and divide mentally, including: multiplying by 0 and 1; dividing by 1; multiplying together three numbers
 recognise and use factor pairs and commutativity in mental calculations
 multiply twodigit and threedigit numbers by a onedigit number using formal written layout
 solve problems involving multiplying and adding, including using the distributive law to multiply two digit numbers by one digit, integer scaling problems and harder correspondence problems such as n objects are connected to m objects.

Fractions (including decimals) Pupils should be taught to:  recognise and show, using diagrams, families of common equivalent fractions
 count up and down in hundredths; recognise that hundredths arise when dividing an object by a hundred and dividing tenths by ten.
 solve problems involving increasingly harder fractions to calculate quantities, and fractions to divide quantities, including nonunit fractions where the answer is a whole number
 add and subtract fractions with the same denominator
 recognise and write decimal equivalents of any number of tenths or hundredths
 recognise and write decimal equivalents to ^{1}/_{4}; ^{1}/_{2}; ^{3}/_{4} find the effect of dividing a one or twodigit number by 10 and 100, identifying the value of the digits in the answer
as units, tenths and hundredths
 round decimals with one decimal place to the nearest whole number
 compare numbers with the same number of decimal places up to two decimal places
 solve simple measure and money problems involving fractions and decimals to two decimal places.

MEASUREMENT Pupils should be taught to:  Convert between different units of measure (e.g. kilometre to metre; hour to minute)
 measure and calculate the perimeter of a rectilinear figure (including squares) in centimetres and metres
 find the area of rectilinear shapes by counting squares
 estimate, compare and calculate different measures, including money in pounds and pence
 read, write and convert time between analogue and digital 12 and 24hour clocks
 solve problems involving converting from hours to minutes; minutes to seconds; years to months; weeks to days.

GEOMETRY Properties of shapes Pupils should be taught to:  compare and classify geometric shapes, including quadrilaterals and triangles, based on their properties and sizes
 identify acute and obtuse angles and compare and order angles up to two right angles by size
 identify lines of symmetry in 2D shapes presented in different orientations
 complete a simple symmetric figure with respect to a specific line of symmetry.

Position and direction Pupils should be taught to:  describe positions on a 2D grid as coordinates in the first quadrant
 describe movements between positions as translations of a given unit to the left/right and up/down
 plot specified points and draw sides to complete a given polygon.

STATISTICS Pupils should be taught to:  interpret and present discrete and continuous data using appropriate graphical methods, including bar charts and time graphs
 solve comparison, sum and difference problems using information presented in bar charts, pictograms, tables and other graphs.

Year 5
Year 5 programme of study (statutory requirements) 
NUMBER Number and place value Pupils should be taught to:  read, write, order and compare numbers to at least 1 000 000 and determine the value of each digit
 count forwards or backwards in steps of powers of 10 for any given number up to 1 000 000
 interpret negative numbers in context, count forwards and backwards with positive and negative whole numbers through zero
 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
 read Roman numerals to 1000 (M) and recognise years written in Roman numerals.

Addition and subtraction Pupils should be taught to:  add and subtract whole numbers with more than 4 digits, including using formal written methods (columnar addition and subtraction)
 add and subtract numbers mentally with increasingly large numbers
 use rounding to check answers to calculations and determine, in the context of a problem, levels of accuracy
 solve addition and subtraction multistep problems in contexts, deciding which operations and methods to use and why.

Multiplication and division Pupils should be taught to:  identify multiples and factors, including finding all factor pairs of a number, and common factors of two numbers.
 solve problems involving multiplication and division where larger numbers are used by decomposing them into their factors
 know and use the vocabulary of prime numbers, prime factors and composite (nonprime) numbers
 establish whether a number up to 100 is prime and recall prime numbers up to 19
 multiply numbers up to 4 digits by a one or twodigit number using a formal written method, including long multiplication for twodigit numbers
 multiply and divide numbers mentally drawing upon known facts
 divide numbers up to 4 digits by a onedigit number using the formal written method of short division and interpret remainders appropriately for the context
 multiply and divide whole numbers and those involving decimals by 10, 100 and 1000
 recognise and use square numbers and cube numbers, and the notation for squared (^{2}) and cubed (^{3})
 solve problems involving addition, subtraction, multiplication and division and a combination of these, including understanding the meaning of the equals sign
 solve problems involving multiplication and division, including scaling by simple fractions and problems involving simple rates.

Fractions (including decimals and percentages) Pupils should be taught to:  compare and order fractions whose denominators are all multiples of the same number
 identify, name and write equivalent fractions of a given fraction, represented visually, including tenths and hundredths
 recognise mixed numbers and improper fractions and convert from one form to the other and write mathematical statements > 1 as a mixed number (e.g. ^{2}/_{5} + ^{4}/_{5} = ^{6}/_{5} = 1^{1}/_{5})
 add and subtract fractions with the same denominator and multiples of the same number
 multiply proper fractions and mixed numbers by whole numbers, supported by materials and diagrams
 read and write decimal numbers as fractions (e.g. 0.71 = ^{71}/_{100})
 recognise and use thousandths and relate them to tenths, hundredths and decimal equivalents
 round decimals with two decimal places to the nearest whole number and to one decimal place
 read, write, order and compare numbers with up to three decimal places
 solve problems involving number up to three decimal places
 recognise the per cent symbol (%) and understand that per cent relates to “number of parts per hundred”, and write percentages as a fraction with denominator hundred, and as a decimal fraction
 solve problems which require knowing percentage and decimal equivalents of ^{1}/_{2}, ^{1}/_{4}, ^{1}/_{5}, ^{2}/_{5}, ^{4}/_{5} and those with a denominator of a multiple
of 10 or 25.

MEASUREMENT Pupils should be taught to:  convert between different units of metric measure (e.g. kilometre and metre; centimetre and metre; centimetre and millimetre; gram and kilogram; litre and millilitre)
 understand and use equivalences between metric units and common imperial units such as inches, pounds and pints
 measure and calculate the perimeter of composite rectilinear shapes in centimetres and metres
 calculate and compare the area of squares and rectangles including using standard units, square centimetres (cm^{2}) and square metres (m^{2}) and estimate the area of irregular shapes
 estimate volume (e.g. using 1 cm^{3} blocks to build cubes and cuboids) and capacity (e.g. using water)
 solve problems involving converting between units of time
 use all four operations to solve problems involving measure (e.g. length, mass, volume, money) using decimal notation including scaling.

GEOMETRY Properties of shapes Pupils should be taught to:  identify 3D shapes, including cubes and other cuboids, from 2D representations
 know angles are measured in degrees: estimate and compare acute, obtuse and reflex angles
 draw given angles, and measure them in degrees (^{o})
 identify:
 angles at a point and one whole turn (total 360^{o})
 angles at a point on a straight line and ½ a turn (total 180^{o})
 other multiples of 90^{o}
 use the properties of rectangles to deduce related facts and find missing lengths and angles
 distinguish between regular and irregular polygons based on reasoning about equal sides and angles.

Position and direction Pupils should be taught to:  identify, describe and represent the position of a shape following a reflection or translation, using the appropriate language, and know that the shape has not changed.

STATISTICS Pupils should be taught to:  solve comparison, sum and difference problems using information presented in a line graph
 complete, read and interpret information in tables, including timetables.

Year 6
Year 6 programme of study (statutory requirements) 
NUMBER Number and place value Pupils should be taught 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 of accuracy
 use negative numbers in context, and calculate intervals across zero
 solve number and practical problems that involve all of the above.

Addition, subtraction, multiplication and division Pupils should be taught to:  multiply multidigit numbers up to 4 digits by a twodigit whole number using the formal written method of long multiplication
 divide numbers up to 4 digits by a twodigit whole number using the formal written method of long division, and interpret remainders as whole number remainders, fractions, or by rounding, as appropriate for the context
 perform mental calculations, including with mixed operations and large numbers.
 identify common factors, common multiples and prime numbers
 use their knowledge of the order of operations to carry out calculations involving the four operations
 solve addition and subtraction multistep problems in contexts, deciding which operations and methods to use and why
 solve problems involving addition, subtraction, multiplication and division
 use estimation to check answers to calculations and determine, in the context of a problem, levels of accuracy.

Fractions (including decimals and percentages) Pupils should be taught to:  use common factors to simplify fractions; use common multiples to express fractions in the same denomination
 compare and order fractions, including fractions >1
 add and subtract fractions with different denominators and mixed numbers, using the concept of equivalent fractions
 multiply simple pairs of proper fractions, writing the answer in its simplest form (e.g. ^{1}/_{4} × ^{1}/_{2} = ^{1}/_{8})
 divide proper fractions by whole numbers (e.g. ^{1}/_{3} ÷ 2 = ^{1}/_{6})
 associate a fraction with division and calculate decimal fraction equivalents (e.g. 0.375) for a simple fraction (e.g. ^{3}/_{8})
 identify the value of each digit to three decimal places and multiply and divide numbers by 10, 100 and 1000 where the answers are up to three decimal places
 multiply onedigit numbers with up to two decimal places by whole numbers
 use written division methods in cases where the answer has up to two decimal places
 solve problems which require answers to be rounded to specified degrees of accuracy
 recall and use equivalences between simple fractions, decimals and percentages, including in different contexts.

RATIO AND PROPORTION Pupils should be taught to:  solve problems involving the relative sizes of two quantities where missing values can be found by using integer multiplication and division facts
 solve problems involving the calculation of percentages (e.g. of measures) such as 15% of 360 and the use of percentages for comparison
 solve problems involving similar shapes where the scale factor is known or can be found
 solve problems involving unequal sharing and grouping using knowledge of fractions and multiples.

ALGEBRA Pupils should be taught to:  express missing number problems algebraically
 use simple formulae expressed in words
 generate and describe linear number sequences
 find pairs of numbers that satisfy number sentences involving two unknowns
 enumerate all possibilities of combinations of two variables.

MEASUREMENT Pupils should be taught to:  solve problems involving the calculation and conversion of units of measure, using decimal notation up to three decimal places where appropriate
 use, read, write and convert between standard units, converting measurements of length, mass, volume and time from a smaller unit of measure to a larger unit, and vice versa, using decimal notation to up to three decimal places
 convert between miles and kilometres
 recognise that shapes with the same areas can have different perimeters and vice versa
 recognise when it is possible to use formulae for area and volume of shapes
 calculate the area of parallelograms and triangles
 calculate, estimate and compare volume of cubes and cuboids using standard units, including centimetre cubed (cm^{3}) and cubic metres (m^{3}), and extending to other units such as mm^{3} and km^{3}.

GEOMETRY Properties of shapes Pupils should be taught to:  draw 2D shapes using given dimensions and angles
 recognise, describe and build simple 3D shapes, including making nets
 compare and classify geometric shapes based on their properties and sizes and find unknown angles in any triangles, quadrilaterals, and regular polygons
 illustrate and name parts of circles, including radius, diameter and circumference and know that the diameter is twice the radius
 recognise angles where they meet at a point, are on a straight line, or are vertically opposite, and find missing angles.

Position and direction Pupils should be taught to:  describe positions on the full coordinate grid (all four quadrants)
 draw and translate simple shapes on the coordinate plane, and reflect them in the axes.

STATISTICS Pupils should be taught to:  interpret and construct pie charts and line graphs and use these to solve problems
 calculate and interpret the mean as an average.
