# Mathematics

__Mathematics Intent at PTM.__

The intent of our mathematics curriculum is to design a curriculum, which is accessible to all and will maximise the development of every child’s ability and academic achievement. We deliver lessons that are creative and engaging. We want children to make rich connections across mathematical ideas to develop fluency, mathematical reasoning and competence in solving increasingly sophisticated problems. We intend for our pupils to be able to apply their mathematical knowledge to science and other subjects. We want children to realise that mathematics has been developed over centuries, providing the solution to some of history’s most intriguing problems. As our pupils progress, we intend for our pupils to be able to understand the world, have the ability to reason mathematically, have an appreciation of the beauty and power of mathematics, and a sense of enjoyment and curiosity about the subject.

__Learning Opportunities for Maths at PTM__

At PTM, we provide daily learning opportunities in the form of maths lessons, that support our pupils understanding of how mathematical knowledge is essential to everyday life, critical to science, technology and engineering, and necessary for financial literacy and most forms of employment. We endeavour to provide as many opportunities as possible for our pupils to apply maths in a cross-curricular fashion, so that they can realise how important it is in everyday life.

__How the subject is implemented and taught:__

At Pear Tree Mead, we are applying the White Rose Approach to Mastery by using the ‘Power Maths’ scheme of work, which has been compiled by leading practitioners from the White Rose Hub. The use of the scheme has been hugely successful as pupils and teachers across the school are confident in using the resources and our pupils are being challenged further, as a result.

Once a week, there is an ‘arithmetic focus’ session taught for 30mins. This gives pupils the time to practise the application of their mental and written maths skills.

On Friday, our lessons focus on developing real-life skills and are more practical. Teachers are encouraged to bring pupil’s learning to life by teaching an exciting and enriching lesson that allows pupils to apply key skills to an Experience-based topic or to a real-life practical situation.

Lessons are also taking a different order as the lessons are broken down into many parts. However, in general, all lessons will include the following:

**Mental/oral/ arithmetic/ or working memory aid** **starter** – to practise quick mental recollection skills or arithmetic skills, or to revisit or introduce other concepts.

**The teaching of a skill, followed by a consolidating activity-** this could be **repeated in a lesson**, each time building upon the initial learning of the lesson to apply learning

**Mastery Challenge activity-** children are given a task that will challenge them to answer using the skills learnt in the lesson but one that will demand a different approach.

**Plenary- reflection** – misconceptions are addressed and consolidation takes place. Pupils give feedback- MME

**Under the New National Curriculum, each term the children are taught the following elements:**

- Number
- Number and place value
- Addition and subtraction (including money)
- Multiplication and division
- Fractions
- Algebra (year 6 only)

- Measurement including time.
- Geometry
- Property of shape
- Position and direction

- Statistics (data handling) – except year 1.

We follow a progression model when teaching maths, beginning with basic skills and understanding which are built upon as the child gets older. It also aims to ensure that all staff are teaching pupils the agreed strategies to promote pupils progression as they move up through the school.

__How the subject is assessed:__

__Teachers monitor pupil progress in Maths in several ways: __

Short-term assessments at the end of units will be used to give children feedback on their performance and what they need to do to improve. Teacher marking of pupil’s books is also used to provide feedback and next steps in some cases, on how to improve performance.

Planning and teaching within units is adjusted in response to pupils performance. Teachers use Assessment for Learning to check learning against objectives at the end of each unit of work. All teachers assess their pupils using statements on Target Tracker in line with the new curriculum. Teachers will also use end of unit tests and previous SATs papers to support their judgement of levelling.

As lessons are delivered to the class, each teacher will mark on their planning, using a plus and minus system. If a child has struggled with the tasks or showed little understanding, the teacher will mark their initials down next to a minus. If a child has excelled with the task and been given next steps, the teacher will note their initials next to a plus. This allows the teacher to make changes to the following lesson, whether this is with teaching methods or planned activities, thus supporting those with little understanding whilst challenging others.

In KS1, children are given end of half- term maths tests. This gives a definitive level for each child which the teacher will then use to aid their teacher assessment, as well as being used to identify areas of weakness. These tests are also in preparation for the year 2 SATs assessments, demonstrating to the children what to expect at the end of the year.

In KS2, pupils are tested termly across Year 3 to 5 using ** White Rose** materials, which are reflective of the teaching of Mastery. In Year 6, pupils are tested using previous SATS papers, which allow pupils to become acquainted with the type of questions, they will be taking later on, in the year.

In Year 6, interventions and boosters are carried out. Year 6’s are assessed using past SATs papers each term to support their understanding of test taking, to set targets and give clear levels each half- term.

Pupil tracking grids are updated and analysed each half term (Target Tracker).

A Maths Coverage Document is highlighted as part of MME at the end of every half-term to enable the subject leader to monitor what areas of maths are being covered.

Children in the early years will be assessed against the EYFS profile.

__How learning barriers are overcome:__

Quality First Teaching is evident in classrooms where all abilities are being challenged and supported with their specific needs. Using data from assessments to address any gaps in learning, interventions are also taking place, and especially in KS2, to help those who need any extra help.

__What is taught in each key stage:__

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__Year 1 programme of study__

__Number – number and place value__

__Pupils should be taught to:__

- count to and across 100, forwards and backwards, beginning with 0 or 1, or from any given number
- count, read and write numbers to 100 in numerals; count in multiples of 2s, 5s and 10s
- given a number, identify 1 more and 1 less
- identify and represent numbers using objects and pictorial representations including the number line, and use the language of: equal to, more than, less than (fewer), most, least
- read and write numbers from 1 to 20 in numerals and words

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__Number – addition and subtraction__

__Pupils should be taught to:__

- read, write and interpret mathematical statements involving addition (+), subtraction (−) and equals (=) signs
- represent and use number bonds and related subtraction facts within 20
- add and subtract one-digit and two-digit numbers to 20, including 0
- Solve one-step problems that involve addition and subtraction, using concrete objects and pictorial representations, and missing number problems such as 7 =? – 9

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__Number – multiplication and division__

__Pupils should be taught to:__

- Solve one-step problems involving multiplication and division, by calculating the answer using concrete objects, pictorial representations and arrays with the support of the teacher.

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__Number – fractions__

__Pupils should be taught to:__

- recognise, find and name a half as 1 of 2 equal parts of an object, shape or quantity
- Recognise, find and name a quarter as 1 of 4 equal parts of an object, shape or quantity.

__Measurement__

__Pupils should be taught to:__

- compare, describe and solve practical problems for:
- lengths and heights [for example, long/short, longer/shorter, tall/short, double/half]
- mass/weight [for example, heavy/light, heavier than, lighter than]
- capacity and volume [for example, full/empty, more than, less than, half, half full, quarter]
- time [for example, quicker, slower, earlier, later]

__measure and begin to record the following:__- lengths and heights
- mass/weight
- capacity and volume
- time (hours, minutes, seconds)
- recognise and know the value of different denominations of coins and notes
- sequence events in chronological order using language [for example, before and after, next, first, today, yesterday, tomorrow, morning, afternoon and evening]

- recognise and use language relating to dates, including days of the week, weeks, months and years
- tell the time to the hour and half past the hour and draw the hands on a clock face to show these times

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__Geometry – properties of shapes__

__Pupils should be taught to:__

**recognise and name common 2-D and 3-D shapes, including:****2-D shapes [for example, rectangles (including squares), circles and triangles]****3-D shapes [for example, cuboids (including cubes), pyramids and spheres]**

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__Geometry – position and direction__

__Pupils should be taught to:__

- describe position, direction and movement, including whole, half, quarter and three-quarter turn

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__Year 2 programme of Study__

__Number – number and place value__

__Pupils should be taught to:__

- count in steps of 2, 3, and 5 from 0, and in 10s from any number, forward and backward
- recognise the place value of each digit in a two-digit number (10s, 1s)
- identify, represent and estimate numbers using different representations, including the number line
- compare and order numbers from 0 up to 100; use <, > and = signs
- read and write numbers to at least 100 in numerals and in words
- use place value and number facts to solve problems

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__Number – addition and subtraction__

__Pupils should be taught to:__

- solve problems with addition and subtraction:
- using concrete objects and pictorial representations, including those involving numbers, quantities and measures
- applying their increasing knowledge of mental and written methods

- recall and use addition and subtraction facts to 20 fluently, and derive and use related facts up to 100
- add and subtract numbers using concrete objects, pictorial representations, and mentally, including:
- a two-digit number and 1s
- a two-digit number and 10s
- 2 two-digit numbers
- adding 3 one-digit numbers

- show that addition of 2 numbers can be done in any order (commutative) and subtraction of 1 number from another cannot
- recognise and use the inverse relationship between addition and subtraction and use this to check calculations and solve missing number problems

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__Number – multiplication and division__

__Pupils should be taught to:__

- recall and use multiplication and division facts for the 2, 5 and 10 multiplication tables, including recognising odd and even numbers
- calculate mathematical statements for multiplication and division within the multiplication tables and write them using the multiplication (×), division (÷) and equals (=) signs
- show that multiplication of 2 numbers can be done in any order (commutative) and division of 1 number by another cannot
- solve problems involving multiplication and division, using materials, arrays, repeated addition, mental methods, and multiplication and division facts, including problems in contexts

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__Number – fractions__

__Pupils should be taught to:__

- recognise, find, name and write fractions , , and of a length, shape, set of objects or quantity
- write simple fractions, for example of 6 = 3 and recognise the equivalence of and

__Measurement__

__Pupils should be taught to:__

- choose and use appropriate standard units to estimate and measure length/height in any direction (m/cm); mass (kg/g); temperature (°C); capacity (litres/ml) to the nearest appropriate unit, using rulers, scales, thermometers and measuring vessels
- compare and order lengths, mass, volume/capacity and record the results using >, < and =
- recognise and use symbols for pounds (£) and pence (p); combine amounts to make a particular value
- find different combinations of coins that equal the same amounts of money
- solve simple problems in a practical context involving addition and subtraction of money of the same unit, including giving change
- compare and sequence intervals of time
- tell and write the time to five minutes, including quarter past/to the hour and draw the hands on a clock face to show these times
- know the number of minutes in an hour and the number of hours in a day

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__Geometry – properties of shapes__

__Pupils should be taught to:__

- identify and describe the properties of 2-D shapes, including the number of sides, and line symmetry in a vertical line
- identify and describe the properties of 3-D shapes, including the number of edges, vertices and faces
- identify 2-D shapes on the surface of 3-D shapes, [for example, a circle on a cylinder and a triangle on a pyramid]
- compare and sort common 2-D and 3-D shapes and everyday objects

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__Geometry – position and direction__

__Pupils should be taught to:__

- order and arrange combinations of mathematical objects in patterns and sequences
- use mathematical vocabulary to describe position, direction and movement, including movement in a straight line and distinguishing between rotation as a turn and in terms of right angles for quarter, half and three-quarter turns (clockwise and anti-clockwise)

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__Statistics__

__Pupils should be taught to:__

- interpret and construct simple pictograms, tally charts, block diagrams and tables
- ask and answer simple questions by counting the number of objects in each category and sorting the categories by quantity
- ask-and-answer questions about totalling and comparing categorical data

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__KS2__

__Year 3 programme of study__

__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 3-digit number (100s, 10s, 1s)
- compare and order numbers up to 1,000
- identify, represent and estimate numbers using different representations
- read and write numbers up to 1,000 in numerals and in words
- solve number problems and practical problems involving these ideas

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__Number – addition and subtraction__

__Pupils should be taught to:__

- add and subtract numbers mentally, including:
- a three-digit number and 1s
- a three-digit number and 10s
- a three-digit number and 100s

- add and subtract numbers with up to 3 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

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__Number – 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 two-digit numbers times one-digit numbers, using mental and progressing to formal written methods
- solve problems, including missing number problems, involving multiplication and division, including positive integer scaling problems and correspondence problems in which n objects are connected to m objects

__Number – 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 one-digit numbers or quantities by 10
- recognise, find and write fractions of a discrete set of objects: unit fractions and non-unit fractions with small denominators
- recognise and use fractions as numbers: unit fractions and non-unit 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 [for example, + = ]
- compare and order unit fractions, and fractions with the same denominators
- solve problems that involve all of the above

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__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 2-D 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 12-hour and 24-hour clocks
- estimate and read time with increasing accuracy to the nearest minute; record and compare time in terms of seconds, minutes and hours; use vocabulary such as o’clock, am/pm, 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]

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__Geometry – properties of shapes__

__Pupils should be taught to:__

- draw 2-D shapes and make 3-D shapes using modelling materials; recognise 3-D shapes in different orientations and describe them
- recognise angles as a property of shape or a description of a turn
- identify right angles, recognise that 2 right angles make a half-turn, 3 make three-quarters of a turn and 4 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

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__Statistics__

__Pupils should be taught to:__

- interpret and present data using bar charts, pictograms and tables
- solve one-step and two-step questions [for example ‘How many more?’ and ‘How many fewer?’] using information presented in scaled bar charts and pictograms and tables

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__Year 4 programme of study__

__Number – number and place value__

__Pupils should be taught to:__

- count in multiples of 6, 7, 9, 25 and 1,000
- find 1,000 more or less than a given number
- count backwards through 0 to include negative numbers
- recognise the place value of each digit in a four-digit number (1,000s, 100s, 10s, and 1s)
- order and compare numbers beyond 1,000
- identify, represent and estimate numbers using different representations
- round any number to the nearest 10, 100 or 1,000
- 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 0 and place value

__Number – 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 two-step problems in contexts, deciding which operations and methods to use and why

__ __

__Number – 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 3 numbers
- recognise and use factor pairs and commutatively in mental calculations
- multiply two-digit and three-digit numbers by a one-digit number using formal written layout
- solve problems involving multiplying and adding, including using the distributive law to multiply two-digit numbers by 1 digit, integer scaling problems and harder correspondence problems such as n objects are connected to m objects

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__Number – 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 100 and dividing tenths by 10
- solve problems involving increasingly harder fractions to calculate quantities, and fractions to divide quantities, including non-unit 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 hundreds
- recognise and write decimal equivalents to , ,
- find the effect of dividing a one- or two-digit number by 10 and 100, identifying the value of the digits in the answer as ones, tenths and hundredths
- round decimals with 1 decimal place to the nearest whole number
- compare numbers with the same number of decimal places up to 2 decimal places
- solve simple measure and money problems involving fractions and decimals to 2 decimal places

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__Measurement__

__Pupils should be taught to:__

- convert between different units of measure [for example, 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 24-hour clocks
- solve problems involving converting from hours to minutes, minutes to seconds, years to months, weeks to days

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__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 2 right angles by size
- identify lines of symmetry in 2-D shapes presented in different orientations
- complete a simple symmetric figure with respect to a specific line of symmetry

__ __

__Geometry – position and direction__

__Pupils should be taught to:__

- describe positions on a 2-D 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

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__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 programme of study__

__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, including through 0
- round any number up to 1,000,000 to the nearest 10, 100, 1,000, 10,000 and 100,000
- solve number problems and practical problems that involve all of the above
- read Roman numerals to 1,000 (M) and recognise years written in Roman numerals

__ __

__Number – 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 multi-step problems in contexts, deciding which operations and methods to use and why

__ __

__Number – multiplication and division__

__Pupils should be taught to:__

- identify multiples and factors, including finding all factor pairs of a number, and common factors of 2 numbers
- know and use the vocabulary of prime numbers, prime factors and composite (non-prime) 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 two-digit number using a formal written method, including long multiplication for two-digit numbers
- multiply and divide numbers mentally, drawing upon known facts
- divide numbers up to 4 digits by a one-digit 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 1,000
- recognise and use square numbers and cube numbers, and the notation for squared (²) and cubed (³)
- solve problems involving multiplication and division, including using their knowledge of factors and multiples, squares and cubes
- 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

__ __

__Number – 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 [for example, + = = 1 ]
- add and subtract fractions with the same denominator, and denominators that are 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 [for example, 0.71 = ]
- recognise and use thousandths and relate them to tenths, hundredths and decimal equivalents
- round decimals with 2 decimal places to the nearest whole number and to 1 decimal place
- read, write, order and compare numbers with up to 3 decimal places
- solve problems involving number up to 3 decimal places
- recognise the per cent symbol (%) and understand that per cent relates to ‘number of parts per 100’, and write percentages as a fraction with denominator 100, and as a decimal fraction
- solve problems which require knowing percentage and decimal equivalents of , , , , and those fractions with a denominator of a multiple of 10 or 25

__ __

__Measurement__

__Pupils should be taught to:__

- convert between different units of metric measure [for example, kilometre and metre; centimetre and metre; centimetre and millimetre; gram and kilogram; litre and millilitre]
- understand and use approximate 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 rectangles (including squares), including using standard units, square centimetres (cm²) and square metres (m²), and estimate the area of irregular shapes
- estimate volume [for example, using 1 cm³ blocks to build cuboids (including cubes)] and capacity [for example, using water]
- solve problems involving converting between units of time
- use all four operations to solve problems involving measure [for example, length, mass, volume, money] using decimal notation, including scaling

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__Geometry – properties of shapes__

__Pupils should be taught to:__

- identify 3-D shapes, including cubes and other cuboids, from 2-D representations
- know angles are measured in degrees: estimate and compare acute, obtuse and reflex angles
- draw given angles, and measure them in degrees (°)
- identify:
- angles at a point and 1 whole turn (total 360°)
- angles at a point on a straight line and half a turn (total 180°)
- other multiples of 90°
- 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

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__Geometry – 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

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__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

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__Year 6 programme of study__

__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, including through 0
- round any number up to 1,000,000 to the nearest 10, 100, 1,000, 10,000 and 100,000
- solve number problems and practical problems that involve all of the above
- read Roman numerals to 1,000 (M) and recognise years written in Roman numerals

__Number – addition, subtraction, multiplication and division__

__Pupils should be taught to:__

- multiply multi-digit numbers up to 4 digits by a two-digit whole number using the formal written method of long multiplication
- divide numbers up to 4 digits by a two-digit 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
- divide numbers up to 4 digits by a two-digit number using the formal written method of short division where appropriate, interpreting remainders according to 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 4 operations
- solve addition and subtraction multi-step 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, an appropriate degree of accuracy

__Number – 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 [for example, × = ]
- divide proper fractions by whole numbers [for example, ÷ 2 = ]
- associate a fraction with division and calculate decimal fraction equivalents [for example, 0.375] for a simple fraction [for example, ]
- identify the value of each digit in numbers given to 3 decimal places and multiply and divide numbers by 10, 100 and 1,000 giving answers up to 3 decimal places
- multiply one-digit numbers with up to 2 decimal places by whole numbers
- use written division methods in cases where the answer has up to 2 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

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__Ratio and proportion__

__Pupils should be taught to:__

- solve problems involving the relative sizes of 2 quantities where missing values can be found by using integer multiplication and division facts
- solve problems involving the calculation of percentages [for example, of measures and 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:__

- use simple formulae
- generate and describe linear number sequences
- express missing number problems algebraically
- find pairs of numbers that satisfy an equation with 2 unknowns
- enumerate possibilities of combinations of 2 variables

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__Measurement__

__Pupils should be taught to:__

using decimal notation up to 3 decimal places where appropriate__solve problems involving the calculation and conversion of units of measure,__- 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 3 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 cubic centimetres (cm³) and cubic metres (m³), and extending to other units [for example, mm³ and km³]

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__Geometry – properties of shapes__

__Pupils should be taught to:__

- draw 2-D shapes using given dimensions and angles
- recognise, describe and build simple 3-D 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

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__Geometry – position and direction__

__Pupils should be taught to:__

- describe positions on the full coordinate grid (all 4 quadrants)
- draw and translate simple shapes on the coordinate plane, and reflect them in the axes

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__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

__Parental Support:__

To further aid your child in their mathematical development, there are many websites which are fun, engaging and easy to access at home. Please see the list below:

**Helping your child at home EYFS**

**helping your child with maths leaflet y5+6**

__EYFS, KS1 and KS2__

This website provides free worksheets, interactive activities and other resources to help with the learning of mathematics facts and skills in the Foundation Stage, Key Stage 1 and Key Stage 2.

**http://www.bbc.co.uk/schools/websites/4_11/site/numeracy.shtml**

This free website not only has a selection of interactive maths games but it also has videos that will help clarify some areas of maths that can be difficult to understand. Suitable for Foundation Stage, KS1 and KS2.

**http://www.oxfordowl.co.uk/home/maths-owl/maths**

Although this website is free, you need to join in order to download ebooks to support with your child’s learning. It has lots of activities, simple ideas and top tips to offer on how to help your child understand key concepts of the curriculum. Suitable for Foundation Stage, KS1 and KS2.

**http://www.topmarks.co.uk/Interactive.aspx?cat=1**

There are many tablet friendly resources available on this website to help build on your child’s learning at home. Suitable for Foundation Stage, KS1 and KS2.

__KS1 and KS2 only__

**http://www.primaryhomeworkhelp.co.uk/maths/**

A free and interactive website with lots of games to help consolidate areas of the maths curriculum in a fun and engaging way. Suitable for both KS1 and KS2.

__KS2 only__

**http://www.mad4maths.com/parents/**

This interactive website caters for parents who need clarification regarding areas of the KS2 maths curriculum. It is very detailed as it shows the objectives that need to be covered in each year group as well as providing tips and strategies to overcome barriers to learning. Suitable for KS2 only

**http://www.crickweb.co.uk/ks2numeracy.html**

On this website there are many kids’ games and resources that will help support your child with maths at home. The interactive resources include cool maths games. Suitable for KS2.

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