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Headteacher: Mrs Julie Goodwin | Contact Us | 01772 862664

Year 5 Programme of Study


Number – number and place value


Statutory Requirements

Pupils at Barton St. Lawrence will 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 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.



Number – addition and subtraction


Statutory Requirements

Pupils at Barton St. Lawrence will 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


Statutory Requirements

Pupils at Barton St. Lawrence will be taught to:

  • identify multiples and factors, including finding all factor pairs of a number, and common factors of two 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 1000

     

  • 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)


Statutory Requirements

Pupils at Barton St. Lawrence will 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, 2/5 + 4/5 = 6/5 = 1 1/5]

     

  • 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 = 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 100, and as a decimal

     

  • solve problems which require knowing percentage and decimal equivalents of 1/2, 1/4, 1/5, 2/5, 4/5 and those fractions with a denominator of a multiple of 10 or 25.



Measurement


Statutory Requirements

Pupils at Barton St. Lawrence will 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), and 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.



Geometry – properties of shape


Statutory Requirements

Pupils at Barton St. Lawrence will 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 (o)

     

    identify:

  • angles at a point and one whole turn (total 360o)

  • angles at a point on a straight line and 21 a turn (total 180o)

  • other multiples of 90o

     

  • 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.



Geometry – position and direction


Statutory Requirements

Pupils at Barton St. Lawrence will 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


Statutory Requirements

Pupils at Barton St. Lawrence will 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.